Tangent line i think please help me find x

Tangent Line I Think Please Help Me Find X

Answers

Answer 1

Answer:

x= 6.5 cm

Step-by-step explanation:

When a tangent line touches the circle, it forms a right angle triangle at that point

Apply the Pythagorean relationship in this case

Given that the height is = 20.2 cm = b

The hypotenuse is = c= x+14.7 cm

General formulae is;

a² +b² =c²

x² + 20.2² =( x+ 14.7)²

x² + 408.04= x² +14.7x+14.7x+216.09

x² + 408.04= x² + 29.4 x +216.09.........................collect like terms

x²-x² + 408.04-216.09= 29.4x

191.95= 29.4x-------------------------------divide by 29.4 t0 get x

191.95/29.4 =x

x=6.5 cm


Related Questions

Which is a trait of all seed plants?

Answers

Answer:

All seed plants share two characteristics. They have vascular tissue and use seeds to reproduce. In addition, they all have body plans that include leaves, stems, and roots. Most seed plants live on land.

Step-by-step explanation:

Final answer:

All seed plants have the ability to produce seeds. Seeds contain an embryo and stored food and can withstand harsher conditions, staying dormant until conditions for growth are ideal. This trait is seen across all seed plants, which includes both gymnosperms and angiosperms.

Explanation:

All seed plants, also known as spermatophytes, share a key characteristic that they have the ability to produce seeds. This is a common trait and allows seed plants to reproduce. Seeds contain an embryo and stored food wrapped in a protective coat. They can withstand harsher conditions and can stay dormant until the conditions for growth are favorable. Seed plants include gymnosperms, such as conifers, and angiosperms, which are flowering plants.

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A home improvement store advertises 60 square feet of flooring for $253.00, plus an additional $80.00 installation fee. What is the cost per square foot for the flooring?

A. $4.95

B. $5.25

C. $5.55

D. $6.06

Answers

Answer:

your answer is C.$5.55

Step-by-step explanation:

cost of square feet flooring is $253.00cost of additional installation fee $80.00

NOW TAKE THE TOTAL OF BOTH,THEN WE GET

$253+$80=333

NOW DO THE DIVIDE OF 333 BY 60, THEN WE GET

333/60=$5.55
C hope this helps if you need any more let me know

g(x) = x3 + 6x2 + 12x + 8
Determine the function's value when x = -1
g(x)
g(-1) = -3
9(-1) = 0
9(-1) = 1
g(-1) = 27
64
125

Answers

Answer:

     g(-1) = 5 - 4 = 1

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  g(x) = x^3 + 6x^2 + 12x + 8.

Substitute -1 for x in this equation:                 g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8

Then:                                                            g(-1) = -1 + 6 - 12 + 8, or

                                                                     g(-1) = 5 - 4 = 1

Answer:

The answer is C

Step-by-step explanation:  

I just took the test and got it right.

Hopefully this helps you :)

pls mark brainlest ;)

The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below.
distance
(1,40)
(2,110)
(4,180)
(6,230)
(8,350)
(10,390)
Elapsed Time (hours)


During which interval was their average speed the greatest?
(1) the first hour to the second hour
(2) the second hour to the fourth hour
(3) the sixth hour to the eighth hour
(4) the eighth hour to the tenth hour

Answers

The average speed is the ratio of the total distance traveled to the time taken

The correct option for the interval with the greatest average speed is option  (1) the first hour to the second hour

The procedure by which the above option was arrived at is as follows:

The given table of values for the graph is presented as follows;

[tex]\begin{array}{|c|cc|} \mathbf{Time}&&\mathbf{Distance}\\1&&40\\2&&110\\4&&180\\6&&230\\8&&350\\10&&390\end{array}\right][/tex]

[tex]Average \ speed = \dfrac{Distance}{Time}[/tex]

The average speed of each interval in distance per hour are given as follows;

[tex]First \ and \ second \ hour, \ average \ speed = \dfrac{110 - 40}{2 - 1} = 70[/tex]

[tex]Second \ and \ fourth \ hour, \ average \ speed = \dfrac{180 - 110}{4 - 2} = 35[/tex]

[tex]Sixth \ and \ eight \ hour, \ average \ speed = \dfrac{350 - 230}{8 - 6} = 60[/tex]

[tex]Eight \ and \ tenth \ hour, \ average \ speed = \dfrac{390 - 350}{10 - 8} = 20[/tex]

Therefore the interval in which their average speed was the greatest is the first hour to the second hour

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Express the fraction 2/7 as a rounded decimal?

Answers

Answer:

Pick an answer from below.

Step-by-step explanation:

Rounded to which place?

2/7 = 0.285714285714...

Nearest tenth: 0.3

Nearest hundredth: 0.29

Nearest thousandth: 0.286

Nearest ten-thousandth: 0.2857

etc.

Answer:

0.29

Step-by-step explanation:

To convert fractions to decimals, divide the numerator by the denominator.

2/7= 0.285

Round 0.285 to 0.29

Which of the symbols correctly relates the two numbers ?

Answers

The answer was is c because 65 is greater than 56.

Answer:

C. >

Step-by-step explanation:

The answer is C. because 65 is greater than 56!

Here is a table of values for y = f(x).
x 0 5 10 15 20 25 30 35 40
f(x) 5 6 7 8 9 10 11 12 13
Mark the statements that are true.
A. 5) = 6
B. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13).
O
C. The range for fx) is all real numbers.
D. f15) = 8​

Answers

Answer:

A, D

Step-by-step explanation:

for this table:

x    0  5 10 15 20 25 30 35 40

f(x) 5  6  7  8  9    10   11  12  13

A, assuming it's supposed to say f(5)=6, is true since 5 in x corresponds to 6 in f(x)

B is false, since the domain would be the set of all numbers in x, since domain corresponds to input (x) and range corresponds to output (f(x))

C is false, the range is not all real numbers since it is a defined set of numbers

D is true, since 15 in x corresponds to 8 in f(x)

Therefore, A and D are true

Which polygon has an interior angle sum of 1080°?

Answers

Step-by-step explanation:

The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.

Answer:

Octagon

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides, so

180° (n - 2) = 1080° ( divide both sides by 180° )

n - 2 = 6 ( add 2 to both sides )

n = 8 ← octagon

5 - 7 second power + 6 - 7 second power + 5 - 7 second power + 6 - 7 second power + 10 - 7 second power + 10 - 7 second power​

Answers

ANSWER: -252

HOW TO GET IT:

Simply follow PEMDAS. Solve each exponent first, then do the rest.

Answer:

144

Step-by-step explanation:

5-7 = 2 2^2 + 6 = 10 - 7 = 3^2 = 9 + 10 = 19 - 7 = 12^2 = 144

I hope this helps even if I am too late! :)

The lunch lady has 5 pounds of lasagna left over. If she
makes 1 pound servings, how many servings of lasagna
can she serve with the amount left over?​

Answers

Final answer:

With 5 pounds of lasagna, where each serving is 1 pound, the lunch lady can make 5 servings of lasagna.

Explanation:

The subject of this question is simple division in Mathematics. The problem states that the lunch lady has 5 pounds of lasagna left over and each serving is 1 pound. So, to find out how many servings of lasagna can be made, we divide the total amount of lasagna (5 pounds) by the size of each serving (1 pound).

5 pounds / 1 pound per serving = 5 servings

Therefore, the lunch lady can serve 5 servings of lasagna with the amount left over.

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Which answer is right please help

Answers

Answer:

A

Step-by-step explanation:

Linear functions go into a straight line in order

Y in set b goes from 2 to 1250 so it is traveling much faster than set A

Please help !!!!!urgent !!!!!Which statement is true according to the diagram ??

Answers

Answer:

the second one

The table shows the distance traveled over time while traveling at a constant speed.


What is the ratio of the change in y-values to the change in x-values?

1:900

1:1,200

900:1

1,200:1

Answers

Answer: Last option.

Step-by-step explanation:

You can observe in the table provided that the values of "x" represent the time in minutes and the values of "y" represent the distance in meters.

Then, in order to find the ratio of the change in y-values to the change in x-values, you can divide any value of "y" (distance) by its corresponding value of "x" (time).

So, this is:

[tex]\frac{2,400}{2}=\frac{1,200}{1}[/tex]

Since the ratio can also be written in the form [tex]a:b[/tex], you get:

[tex]1,200:1[/tex]

Answer:

D) 1,200 meters per minute

Step-by-step explanation:

For the given functions f and g, find the requested function and state its domain.

f(x) = 8x - 3; g(x) = 4x - 9
Find f - g.

Answers

Answer:

4x+6

Step-by-step explanation:

f(x)=8x-3

g(x)=4x-9

f(x)-g(x) = 8x-3-(4x-9)=8x-3-4x+9=4x+6

The value of f(x) - g(x) is 4x+6 and The domain is all real value of x.

What is a function ?

A function can be defined as a mathematical expression which establishes relation between a dependent variable and an independent variable.

It always comes with a defined range and domain.

It is given in the question

functions f and g

f(x) = 8x - 3; g(x) = 4x - 9

f- g = ?

The value of f(x) - g(x) = 8x -3 - (4x -9)

f(x) - g(x) = 8x -3 - 4x +9

f(x) - g(x) = 4x +6

h(x) = 4x+6

The domain is all real value of x.

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subtract the polynomials (3x^2-11x-4)-(x-2)(2x+3)

Answers

Answer:

[tex]x^2-10x+2[/tex]

Step-by-step explanation:

Multiply out the two monomials first because of PEMDAS.

[tex](-x + 2) * (2x + 3)=-2x^2+x+6[/tex]

Now add them together.

[tex]3x^2-11x-4-2x^2+x+6=x^2-10x+2[/tex]

A takes 3 hours more than B to walk 30 km. But if A doubles his pace, he is ahead of B by 3/2 hours . Find their speed of walking.​

Answers

Answer:

Initial speed:

A: [tex]\displaystyle \rm \frac{10}{3}\; km/ h[/tex].B: [tex]\rm 5\; km/ h[/tex].

Step-by-step explanation:

Both equations are concerned about the time differences between A and B. To avoid unknowns in the denominators,

let [tex]x[/tex] be the initial time in hours for A to walk 30 km, andlet [tex]y[/tex] be the time in hours for B to walk 30 km.

First equation:

"A takes 3 hours more than B to walk 30 km."

[tex]x = y + 3[/tex].

[tex]x - y = 3[/tex].

When A doubles his pace, he takes only 1/2 the initial time to cover the same distance. In other words, now it takes only [tex]x/2[/tex] hours for A to walk 30 km.

Second equation:

"[A] is ahead of B by 3/2 hours [on their 30-km walk.]"

[tex]\displaystyle \frac{x}{2} + \frac{3}{2} = y[/tex].

[tex]\displaystyle \frac{1}{2}x - y = -\frac{3}{2}[/tex].

Hence the two-by-two linear system:

[tex]\left\{\begin{aligned}&x - y = 3\\&\frac{1}{2}x - y = -\frac{3}{2}\end{aligned}\right.[/tex].

Solve this system for [tex]x[/tex] and [tex]y[/tex]:

Subtract the second equation from the first:

[tex]\displaystyle \frac{1}{2}x = \frac{9}{2}[/tex].

[tex]x = 9[/tex].

[tex]y = 6[/tex].

It initially takes 9 hours for A to walk 30 kilometers. The initial speed of A will thus be:

[tex]\displaystyle v = \frac{s}{t} = \rm \frac{30\; km}{9\; h} = \frac{10}{3}\; km/h[/tex].

It takes 6 hours for B to walk 30 kilometers. The speed of B will thus be:

[tex]\displaystyle v = \frac{s}{t} = \rm \frac{30\; km}{6\; h} = 5\; km/h[/tex].

The temperature at 9 a.m. is 2 degrees. The temperature rises 3 more degrees by noon. Which expression describes the temperature at noon?

Answers

Answer:

2+3

Step-by-step explanation:

Triangle ABC is a right triangle. Find the measure of side b. Round to the nearest hundredth.
A) 6.13 cm
B) 6.71 cm
C) 9.53 cm
D) 10.54 cm
E) 12.45 cm

Answers

Answer:

Applying the trigonometric functions, 8/b=Tan40

b=8/Tan40

Answer:

C) 9.53 cm

Step-by-step explanation:

We know this is a right triangle, so we can use trig relations

tan A = opposite side/ adjacent side

tan 40 = 8/b

Multiply each side by b

b tan 40 = 8

Divide each side by tan 40

b tan 40 / tan 40 = 8 / tan 40

b = 8/ tan 40

b = 9.534028741

The hypotenuse of a 45°-45°-90° triangle measures 128 cm. What is the length of one leg of the triangle? 64 cm cm 128 cm cm

Answers

Answer:

Answer 64*sqrt(2)

Step-by-step explanation:

Givens

c = 128 cm

a = b = ??

formula

a^2 + b^2 = c^2                            combine the two equal legs.

2a^2 = c^2                                    Substitute 128 for c

2a^2 = 128^2                                Square

2a^2 = 16384                               Divide by 2

a^2 = 16384/2                  

a^2 = 8192                                   Factor (8192)

8192 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2    count the 2s

8192 = 2^13                                 Break 13 into 2 equal values with 1 left over

sqrt(8192) = sqrt(2^6   *   2^6    *    2^1)

sqrt(8192) = 2^6 * sqrt(2)

The length of one leg is 64*sqrt(2)

Answer:

Length of one leg of the given triangle will be 64√2 cm.

Step-by-step explanation:

Length of the hypotenuse of a 45°- 45°- 90° triangle has been given as 128 cm.

Since two angles other than 90° are of same measure so other two sides of the triangle will be same in measure.

Therefore, by Pythagoras theorem,

Hypotenuse² = Leg(1)² + Leg(2)²

Let the measure of both the legs is x cm

(128)² = 2x²

16384 = 2x²

x² = [tex]\frac{16384}{2}[/tex]

x² = 8192

x = √8192

  = 64√2 cm

Therefore, length of one leg of the given triangle will be 64√2 cm.

The product of the polynomials (2ab + b) and (a2 – b2)

Answers

Answer:

= 2a³b - 2ab² + a²b - b³

Step-by-step explanation:

We multiply the each term in the first polynomial by each in the other as follows.

2ab(a² - b²) + b(a² - b²)

We then open the brackets and get the following.

2a³b - 2ab² + a²b - b³

We can not simplify the product further than this since it has no like terms.  

Answer:

First is C

Second is 2

Step-by-step explanation:EDGE 2021

do you know the answer plz help me and thank you if you know the answer

Answers

Answer: 8 remainder 2

Step-by-step explanation:

3 • 8 = 24

26 - 24 = 2

Your answer is 8 with a remainder of 2

Answer:

8 r2

Step-by-step explanation:

what is the equation of the circle with Center (-6, 7) that passes through the point (4, -2) ​

Answers

we know the center of the circle, and we also know a point on the circle, well, the distance from the center to a point is just the radius.

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[4-(-6)]^2+[-2-7]^2}\implies r=\sqrt{(4+6)^2+(-2-7)^2} \\\\\\ r=\sqrt{10^2+(-9)^2}\implies r=\sqrt{100+81}\implies r=\sqrt{181} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-6}{ h},\stackrel{7}{ k})\qquad \qquad radius=\stackrel{\sqrt{181}}{ r}\\[2em] [x-(-6)]^2+[y-7]^2=(\sqrt{181})^2\implies (x+6)^2+(y-7)^2=181[/tex]

Scenario:

A rectangular plot of ground is 5 meters longer than it is wide. Its area is 20,000 square meters.

Question:

What equation will help you find the dimensions?

Note: Let W represent the width.

Options:

w(w+5)=20,000
w^2=20,000+5
(w(w+5))/2=20,000
w+2(w+5)=20,000

Answers

To find the area you multiply the length by the width.

W = the width, and you are told the length is 5 meters longer, so the length would be (W +5)

Now multiply those together to equal 20,000 square meters:

w(w+5) = 20,000

Classify the flowing triangle

Answers

Answer:

A: Scalene - None of the sides are congruent or have the same measurements.

E: Acute - None of the triangle's angles are 90° or greater.

~

The measure of one angle of a right triangle is 44∘ more than the measure of the smallest angle. Find the measures of all three angles.

Answers

Answer:

Smallest angle = 23

Middle angle = 23 + 44 = 67

Right angle = 90

Step-by-step explanation:

Givens

Let the smallest angle = x

Let the middle angle = x + 44

Let the right angle = 90   which it always does.

All triangles = 180 degrees.

Equation

x + x + 44 + 90 = 180

Solution

2x + 44 + 90 = 180                       Combine the left

2x + 134 = 180                               Subtract 134 from both sides

2x +134-134 = 180 - 134                Combine

2x = 46                                          Divide by 2

2x/2 = 46/2                                   Do the division

x = 23

If sin θ=24/25 and 0 less than or equal to θ less than or equal to π/2, find the exact value of tan 2θ.

Answers;
A) -527/336
B) -336/527
C)7/24
D) 24/7

Answers

Answer:

Option B. [tex]tan(2\theta)= -\frac{336}{527}[/tex]

Step-by-step explanation:

we know that

[tex]tan(2\theta)= \frac{sin(2\theta)}{cos(2\theta)}[/tex]

[tex]sin(2\theta)=2(sin(\theta))(cos(\theta))[/tex]

[tex]cos(2\theta)=cos^{2}(\theta)-sin^{2}(\theta)[/tex]

[tex]cos^{2}(\theta)+sin^{2}(\theta)=1[/tex]

we have

[tex]sin(\theta)=\frac{24}{25}[/tex]

step 1

Find the value of cosine of angle theta

[tex]cos^{2}(\theta)+sin^{2}(\theta)=1[/tex]

[tex]cos^{2}(\theta)+(\frac{24}{25})^=1[/tex]

[tex]cos^{2}(\theta)=1-\frac{576}{625}[/tex]

[tex]cos^{2}(\theta)=\frac{49}{625}[/tex]

[tex]cos(\theta)=\frac{7}{25}[/tex]

The value of cosine of angle theta is positive, because angle theta lie on the I Quadrant

step 2

Find [tex]sin(2\theta)[/tex]

[tex]sin(2\theta)=2(sin(\theta))(cos(\theta))[/tex]

we have

[tex]sin(\theta)=\frac{24}{25}[/tex]

[tex]cos(\theta)=\frac{7}{25}[/tex]

substitute

[tex]sin(2\theta)=2(\frac{24}{25})(\frac{7}{25})[/tex]

[tex]sin(2\theta)=\frac{336}{625}[/tex]

step 3

Find [tex]cos(2\theta)[/tex]

[tex]cos(2\theta)=cos^{2}(\theta)-sin^{2}(\theta)[/tex]

we have

[tex]sin(\theta)=\frac{24}{25}[/tex]

[tex]cos(\theta)=\frac{7}{25}[/tex]

substitute

[tex]cos(2\theta)=(\frac{7}{25})^{2}-(\frac{24}{25})^{2}[/tex]

[tex]cos(2\theta)=(\frac{49}{625})-(\frac{576}{625})[/tex]

[tex]cos(2\theta)=-\frac{527}{625}[/tex]

step 4

Find the value of [tex]tan(2\theta)[/tex]

[tex]tan(2\theta)= \frac{sin(2\theta)}{cos(2\theta)}[/tex]

we have

[tex]sin(2\theta)=\frac{336}{625}[/tex]

[tex]cos(2\theta)=-\frac{527}{625}[/tex]

substitute

[tex]tan(2\theta)= -\frac{336}{527}[/tex]

Final answer:

By using the Pythagorean identity and the double angle identity for tangent, it is found that the value of tan 2θ when sin θ =24/25 and 0 ≤ θ ≤ π/2 is -527/336.

Explanation:

In the field of Mathematics, particularly in trigonometric equations, the problem given is asking for the value of tan 2θ, given that sin θ=24/25 and 0 ≤ θ ≤ π/2.

Firstly, we can find cos θ by using the Pythagorean identity sin²θ + cos²θ = 1. This gives us cos θ = sqrt (1 - sin²θ) = sqrt (1 - (24/25)²) = 7/25.

Then, knowing that tan θ = sin θ/cos θ, we can plug in these values to get tan θ = (24/25) / (7/25) = 24/7. Finally, using the double angle identity for tan (tan 2θ = 2 tan θ / (1 - tan²θ)), we can find that tan 2θ = 2(24/7) / (1 - (24/7)²) = -527/336.

So, the exact value of tan 2θ when sin θ =24/25 and 0 ≤ θ ≤ π/2 is -527/336, which is answer option A.

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What is the quadratic function to these three points (-1,-11), (0,-3), and (3,-27)

Answers

Answer:

y = -4x² + 4x -3

Step-by-step explanation:

The standard form of quadratic equation is:

y = ax² + bx + c

We need to use the points given to find the value of a, b and c

We are given point (-1,-11) where x =-1 and y=-11 putting values in the above equation

y = ax² + bx + c

-11 = a(-1)² + b(-1) +c

-11 = a -b+c      eq(1)

Now putting the point(0, -3) where x =0 and y =-3

y = ax² + bx + c

-3 = a(0)² + b(0) + c

-3 = 0 + 0 + c

=> c = -3

Now Putting the point (3, -27) where x =3 and y = -27

y = ax² + bx + c

-27 = a(3)² +b(3) + c

-27 = 9a + 3b + c  eq(2)

Putting value of c= -3 in eq(2)

-27 = 9a + 3b -3  

-27 +3 = 9a +3b

-24 = 9a + 3b

=> 3(3a+b) = -24

3a + b = -24/3

3a + b = -8     eq(3)

Putting value of c= -3 in eq(1)

-11 = a -b+c

-11 = a -b -3

-11 + 3 = a - b

-8 = a - b    

=> a - b = -8   eq(4)

Now adding eq(3) and eq(4)

3a + b = -8  

a - b = -8

__________

4a = -16

a = -16/4

a = -4

Putting value of a in equation 4

a - b = -8

-4 -b = -8

-b = -8+4

-b = -4

=> b = 4

The values of a , b and c are a= -4, b =4 and c= -3

Putting these values in standard quadratic equation

y = ax² + bx + c

y = -4x² + 4x -3

Joshua likes to read he read 6 books when he was 6 years old every year he doubled the number of book he read the previous year how many total books did he read between the ages of 6 and 10?

Answers

When Joshua Is 6 he reads 6 books, when he is 7 he reads 12 books, when he turns 8, he reads 24 books, when he turns 9 he reads 48 books, when Joshua turns 10 he reads 96 books

6+12+24+48+96=186

The answer is C

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Answer:

Joshua read 186 books form 6 to 10 years of age.

Step-by-step explanation:

Joshua reads 6 books at the age of 6.

He doubled the number of books he read the previous years.

Now the sequence will be a geometric sequence as

6, 12, 24, ......

We have to calculate the number of books he read from 6 years to 10 years of his age.

Since sum of n terms of a geometric sequence is given by

[tex]S_{n}=\frac{a(r^{n}-1 )}{r-1}[/tex]

where a = first term

r = common ratio

n = number of terms

[tex]S_{5}=\frac{6(2^{5}-1 )}{2-1}[/tex]

   = [tex]\frac{6(32-1)}{1}[/tex]

   = 6×31

   = 186 books

Therefore Joshua read 186 books form 6 to 10 years of age.

What is the solution set of the quadratic inequality f(x) greater than or equal to 0

Answers

ANSWER

{[tex]x | x \in \: R[/tex]}

EXPLANATION

From the graph, the given quadratic inequality is

[tex] {(x + 3)}^{2} \geqslant 0[/tex]

We can see that the corresponding quadratic function is a perfect square.

Since the graph opens upwards and it is always above the x-axis, any real number you plug into the inequality, the result is greater than or equal to zero.

Hence the solution set is

{[tex]x | x \in \: R[/tex]}

The correct answer is A

What is the value of –2|6x – y| when x = –3 and y = 4?

Answers

Answer:

-44

Step-by-step explanation:

We have the expression

[tex]-2|6x - y|[/tex]

We need to find the value of the expression when x = -3 and y = 4

Then we must replace the variable with the number -3 and the variable y with the number 4

This is:

[tex]-2|6(-3) - (4)|[/tex]

[tex]-2|-18 - 4|[/tex]

[tex]-2|-22|[/tex]

Remember that the absolute value always results in a positive number.

So

[tex]-2|-22| = -2(22)=-44[/tex]

the answer is -44

Answer:

The correct answer is -44

Step-by-step explanation:

Points to remember

|x| = x

|-x| = x

To find the value of  –2|6x – y|

We have  –2|6x – y|  When x = -3 and y = 4

Substitute the value of x and y

–2|6x – y| =  –2|(6 * -3)  – 4|

 = -2|-18 - 4|

 = -2|-22|

 = -2 * 22

 = -44

Therefore the value of –2|6x – y|  when x = -3 and y = 4

–2|6x – y|

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