Suppose f(x)=x2 Find the graph of f (x)+1

Answer:

4(3+x)

Step-by-step explanation:

If any thing is in the brackets you need to do it first

so if you do 3 + x × 4 it will give yo 4x + 3 or 3 +4x

The given expression 4 (x + 3) is equivalent to the expression 4x + 12.

The equivalent operations are those that have various forms but have the same outcome.

The expression is given below.

→ 4 (x + 3)

The expression can be written as

→ 4x + 12

The given expression 4 (x + 3) is equivalent to the expression 4x + 12.

More about the equivalent link is given below.

https://brainly.com/question/889935

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Answer: An x and y value, parenthesis around the values, and a comma in between them.

Examples of ordered pairs: (2, 5), (1872, 1683), (-3, 7), (7/8, -10/2)

Answer:

15%

Step-by-step explanation:

Percent means out of 100.  Lets get the denominator out of 100

3/20 * 5/5  = 15/100

This is 15%

Final answer:

To convert the fraction 3/20 to a percentage, first convert it to a decimal by dividing 3 by 20. Then, multiply the decimal by 100 to get the percentage.

Explanation:

To express 3/20 as a percentage, you can multiply the fraction by 100. The calculation is (3/20) * 100 = 15%. Therefore, 3/20 as a percentage is 15%. This means that 3 out of every 20 parts represent 15% of the whole. In percentage terms, it provides a convenient way to compare the fraction to 100, making it easier to understand its relative size or portion in relation to the total. In this case, 15% indicates the proportion of the whole that is represented by the fraction 3/20.

Answer:

21 students

Step-by-step explanation:

90 x .10 = 9

80 x .15 = 12

9 + 12 = 21 students

Answer: C < B < A

Step-by-step explanation:

First, let's evaluate the growth rate of A from [1, 3]

[tex]f(x) = 200\bigg(\dfrac{3}{2}\bigg)^1[/tex]

    = 300

coordinate is (1, 300)

[tex]f(x) = 200\bigg(\dfrac{3}{2}\bigg)^3[/tex]

    = 675

coordinate is (3, 675)

Average growth rate (AGR) is: [tex]\dfrac{675-300}{3-1} = \dfrac{375}{2} = 187.5[/tex]

AGR (A) = 187.5

*************************************************************************************

Next, let's evaluate the growth rate of B from [1, 3]

The coordinates are already provided as (1, 120) and (3, 480)

Average growth rate (AGR) is: [tex]\dfrac{480-120}{3-1} = \dfrac{360}{2} = 180[/tex]

AGR (B) = 180

*************************************************************************************

Lastly, let's evaluate the growth rate of C from [1, 3]

f(x) = 600(1.2)ˣ

f(x) = 600(1.2)¹

     = 720

coordinate is (1, 720)

f(x) = 600(1.2)³

     = 1036.8

coordinate is (3, 1036.8)

Average growth rate (AGR) is: [tex]\dfrac{1036.8-720}{3-1} = \dfrac{316.8}{2} = 158.4[/tex]

AGR (C) = 158.4

Answer:

x= 0.4

Step-by-step explanation:

We need to solve and find the value of x

7 1/3x = 1.6 ÷ 6/11

Converting mixed fraction into improper fraction

22/3 x = 1.6 ÷ 6/11

Converting ÷ sign by X and reciprocating the term

22/3 x = 1.6 * 11/6

Now divide both sides by 3/22

x = 1.6 * 11/6 * 3/22

x = 1.6 * 1/2 * 1/2

x = 1.6/4

x = 0.4

S0, x= 0.4

Answer:

8 daisies

Step-by-step explanation:

You have to multiply the amount of vases by daisies.

Answer:

Givens

We know that Morita arranges 4 cases, each of them has 10 flowers.

So, if there are 2/10 daisies per case, that means each can contains 2 daisies.

But, she did 4 arrangements. There are 2x4 = 8 daisies in total.

Now, last weekend, Morita used 10 daisies to make flower arrangements, and we know she tend to use 2/10 of the flowers as daisies, that means this fraction represents daisies,

[tex]\frac{2}{10}x=10\\ x=\frac{100}{2}\\ x=50[/tex]

Therefore, there are 50 flowers in total.

Answer:

2. m = b³ (= 216)

3. logp(x) = -4

Step-by-step explanation:

2. The given equation can be written using the change of base formula as ...

... log(m)/log(b) + 9·log(b)/log(m) = 6

If we define x = log(m)/log(b), then this becomes ...

... x + 9/x = 6

Subtracting 6 and multiplying by x gives ...

... x² -6x +9 = 0

... (x -3)² = 0 . . . . . factored

... x = 3 . . . . . . . . . value of x that makes it true

Remembering that x = log(m)/log(b), this means

... 3 = log(m)/log(b)

... 3·log(b) = log(m) . . . . . multiply by the denominator; next, take the antilog

... m = b³ . . . . . . the expression you're looking for

___

3. Substituting the given expression for y, the equation becomes ...

... logp(x^2·(p^5)^3) = 7

... logp(x^2) + logp(p^15) = 7 . . . . . use the rule for log of a product

... 2logp(x) + 15 = 7 . . . . . . . . . . . . . use the definition of a logarithm

... 2logp(x) = -8 . . . . . . . . . . . . . . . . subtract 15

... logp(x) = -4 . . . . . . divide by 2

Answer:

For #3: [tex]\log_px=-4[/tex]

Step-by-step explanation:

I'm a little rusty on my logarithm rules for #2, but here's an explanation of #3.

In a sense, we can think of operations like subtraction and division as different ways of representing addition and multiplication. For instance, the same relationship described by the equation 2 + 3 = 5 is captured in the equation 5 - 3 = 2, and 5 × 2 = 10 can be restated as 10 ÷ 2 = 5 without any loss of meaning.

Logarithms do the same thing for exponents: the expression [tex]2^3=8[/tex] can be expressed in logarithms as [tex]\log_28=3[/tex]. Put another way, logarithms are a sort of way of pulling an exponent out onto its own side of the equals sign.

Our problem gives us two facts to start: that [tex]log_p(x^2y^3)=7[/tex] and [tex]p^5=y[/tex]. With that, we're expected to find the value of [tex]\log_px[/tex]. [tex]p^5=y[/tex] stands out as the odd-equation-out here; it's the only one not in terms of logarithms. We can fix that by rewriting it as the equivalent statement [tex]log_py=5[/tex]. Now, let's unpack that first logarithm.

For a refresher, let's talk about some of the rules logarithms follow and why they follow them:

Product Rule: [tex]\log_b(MN)=\log_bM+\log_bN[/tex]

The product rule turns multiplication in the argument (parentheses) of a logarithm into addition. For a proof of this, consider two numbers [tex]M=b^x[/tex] and [tex]N=b^y[/tex]. We could rewrite these two equations with logarithms as [tex]\log_bM=x[/tex] and [tex]\log_bN=y[/tex]. With those in mind, we could say the following:

And we have our proof.

Exponent Rule: [tex]\log_b(M^n)=n\log_bM[/tex]

Since exponents can be thought of as abbreviations for repeated multiplication, we can rewrite [tex]\log_b(M^n)[/tex] as [tex]\log_b(M\times M\cdots \times M)[/tex], where M is being multiplied by itself n times. From there, we can use the product rule to rewrite our logarithm as the sum [tex]\log_bM+\log_bM+\cdots+\log_bM[/tex], and since we have the term [tex]\log_bM[/tex] added n times, we can rewrite is as [tex]n\log_bM[/tex], proving the rule.

With those rules in hand, we're ready to solve the problem. Looking at the equation [tex]\log_p(x^2y^3)=7[/tex], we can use the product rule to split the logarithm into the sum [tex]\log_p(x^2)+\log_p(y^3)=7[/tex], and then use the product rule to turn the exponents in each logarithm's argument into coefficients, giving the equation [tex]2\log_px+3\log_py=7[/tex].

Remember how earlier we rewrote [tex]p^5=y[/tex] as [tex]log_py=5[/tex]? We can now use that fact to substitute 5 in for [tex]log_py[/tex], giving us

[tex]2\log_px+3(5)=7[/tex]

From here, we can simply solve the equation for [tex]\log_px[/tex]:

[tex]2\log_px+15=7\\2\log_px=-8\\\\\log_px=-4[/tex]

Answer:

30°                                

Step-by-step explanation:

No. of sides in dodecagon = 12

No. of angles = 12

Since its regular, all sides and all angles are equal.

total rotational angle = 360°

since no. of angles = 12

and all angles are equal,

rotational angle at which, it will co - incide with itself = [tex]\frac{360}{12}[/tex]

                                                                                     = 30°

A regular dodecagon will be onto itself it is rotated about the central angle 30°.

Answer: 30°

Step-by-step explanation:

Answer:

[tex]y=cos(x+\pi )[/tex]

Step-by-step explanation:

From the graph, we can see that y = -1 when x  = 0.

So to check whether which of the given options is the equation of the given graph, we will set our calculator to the radian mode and then plug the value of x as 0.

1. y = cos(x + pi/2) = cos(0 + pi/2) = 0

2. y = cos(x+2pi) = cos(0+2pi) = 1

3. y = cos(x+pi/3) = cos(0+pi/3) = 1/2 = 0.5

4. y = cos(x+pi) = cos(0+pi) = -1

Therefore, the equation of this graph is y = cos(x+pi) = cos(0+pi) = -1.

It's going to be 7/10

Answer:

D

Step-by-step explanation:

note that the values in the domain map to the values in the domain as

- 1 → 2 ( that is 1 + 3 = 2 )

3 → 6 ( that is 3 + 3 = 6 )

5 → 8 ( that is 5 + 3 = 8 )

In each case 3 is added to the value in the domain(x) to obtain the value in the range ( y = f(x) )

Hence f(x) = x + 3 → D

Answer:

29.03 units

Step-by-step explanation:

x^2 = 10^2 + 19^2 - 2*19*20 cos 122

=   100 + 361 - 720 * -0.52992

= 842.54

x = 29.03

[tex]\dfrac{5x^4+10x^3-7x+1}{x+2}=(5x^4+10x^3-7x+1):(x+2)[/tex]

[tex]_+\begin{matrix}(5x^4&+&10x^3&-&7x&+&1)&:&(x+2)&=5x^3-7\\-5x^4&-&10x^3\end{matrix}\\\overline{_+\begin{matrix}\ \ =&&&&=&\ \ \ -&7x&+&1\\&&&&&&7x&+&14\end{matrix}}\\\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\ 15}[/tex]

[tex]\dfrac{5x^4+10x^3-7x+1}{x+2}=(5x^4+10x^3-7x+1):(x+2)=5x^3-7+R(15)\\\\5x^4+10x^3-7x+1=(x+2)(5x^3-7)+15[/tex]

Final answer:

Long division is a method used to divide two polynomials in algebra. It involves arranging the dividend and divisor, determining the term of the quotient, subtracting and repeating until there are no more terms left to bring down.

Explanation:

In algebra, long division is a method used to divide two polynomials. It is especially useful when the dividend (the polynomial being divided) has a higher degree than the divisor (the polynomial dividing the dividend).

Here's a step-by-step explanation:

Let me know if you need further assistance or if there's anything else I can help you with!

The amount that is direct-deposited bi-weekly is 404.30.

To calculate the bi-weekly direct deposit amount, we need to follow these steps:

1. Calculate the gross pay for a week:

 Gross pay per week = Hourly wage * Hours worked per week

 Gross pay per week = $8.60/hr * 32 hr/wk

 Gross pay per week = $275.20

2. Calculate the total deductions per week:

 Total deductions rate = FICA rate + federal tax rate + state tax rate

 Total deductions rate = 7.65% + 10.6% + 8.25%

 Total deductions rate = 26.5%

 Total deductions per week = Gross pay per week * Total deductions rate

 Total deductions per week = $275.20 * 26.5%

 Total deductions per week = $73.049

 3. Calculate the net pay for a week:

 Net pay per week = Gross pay per week - Total deductions per week

 Net pay per week = $275.20 - $73.049

 Net pay per week = $202.151

4. Calculate the bi-weekly net pay:

 Bi-weekly net pay = Net pay per week* 2

 Bi-weekly net pay = $202.151 * 2

 Bi-weekly net pay = $404.302

Since the net pay is calculated to the nearest cent, we can round the bi-weekly net pay to the nearest cent as well:

Bi-weekly net pay (rounded) = $404.30

Therefore, the amount that is direct-deposited bi-weekly is 404.30.

The answer is: $404.30.

Answer:

B is the right one i bet u 100 point s

Answer:

B is the correct answer.

The brackets ║ represent absolute value. Absolute value is ALWAYS positive. I hope this helps you!

-Mikayla

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The given ratio is [tex]\frac{18}{27}[/tex]

9 is the common factor of 18 and 27

divide numerator and denominator by 9

[tex]\frac{18/9}{27/9} =\frac{2}{3}[/tex]

hence [tex]\frac{2}{3}[/tex] is proportion with [tex]\frac{18}{27}[/tex]

Answer:

Step-by-step explanation: To find a y intercept you must find what y is when x is 0 so because it already tells you on the table the y intercept is 4. To find slope take 2 x intercepts and 2 y intercepts. For this well take the 0,4 and 5,1. The take the y from both pairs and minus them so it will look like 4 minus 1. Then draw a line under the equation under this line do the same thing but with the x's from both pairs so 0-5 then you will get as a result of both -3/5 as your slope.

Answer:

slope: -3/5

y-intercept: (0, 4)

slope-intercept form: y = -3/5x + 4

Step-by-step explanation:

To find the slope of this line, you would take two points from the table and substitute their coordinates into the slope formula.

Slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

I'm going to use the points (0, 4) and (5, 1). You can really use any point from the table. Substitute these points into the formula to find the slope.

(0, 4), (5, 1) → [tex]\frac{1-4}{5-0} \rightarrow \frac{-3}{5}[/tex]

This means the slope of the line is -3/5.

The y-intercept will always have the value of x be 0 (so the point is solely on the y-axis), so by looking at the table we can see that the y-intercept is at (0, 4).

Since we have the slope and a point of the line, we must use point-slope form to find the equation of the line in slope-intercept form. Substitute in the point (0, 4) --you could use any point from the table-- and the slope -3/5 into the point-slope form equation.

point-slope form: y - y1 = m(x - x1) --you'll be substituting the point coordinates and slope into y1, x1, and m.

y - (4) = -3/5(x - (0))

Simplify.

y - 4 = -3/5x

Add 4 to both sides.

y = -3/5x + 4 is the equation of the line in slope-intercept form (you have both the slope and the y-intercept in this form).

Answer:

3n+5

Step-by-step explanation:

Hey man, your answer is (A) I took the test!!!

The first 4 terms in the sequence are :

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

[tex]\boxed{T_n = a + (n-1)d}[/tex]

[tex]\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}[/tex]

Tn = n-th term of the sequence

Sn = sum of the first n numbers of the sequence

a = the initial term of the sequence

d = common difference between adjacent numbers

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

[tex]\boxed{T_n = a ~ r^{n-1}}[/tex]

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

Tn = n-th term of the sequence

Sn = sum of the first n numbers of the sequence

a = the initial term of the sequence

r = common ratio between adjacent numbers

Let us now tackle the problem!

Given:

a = 4

r = 0.2

Solution:

[tex]T_n = a ~ r^{n-1}[/tex]

[tex]T_1 = 4 \times 0.2^{1-1} = 4 \times 1 = 4[/tex]

[tex]T_2 = 4 \times 0.2^{2-1} = 4 \times 0.2 = 0.8[/tex]

[tex]T_3 = 4 \times 0.2^{3-1} = 4 \times 0.04 = 0.16[/tex]

[tex]T_4 = 4 \times 0.2^{4-1} = 4 \times 0.008 = 0.032[/tex]

Therefore , the first 4 terms in the sequence are :

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

Answer:

The altitude of the trapezoid is 60 feet.

Step-by-step explanation:

Trapezoid

Sum of the bases: B+b=280 feet

Area of the trapezoid: A=8,400 feet^2

Altitude of the trapezoid: h=?

The formula to calculate the area of a Trapezoid is:

A = (1/2) (B+b) h

Replacing the given values:

8,400 feet^2 = (1/2) (280 feet) h

(1/2) (280 feet) = (140 feet)

8,400 feet^2 = (140 feet) h

Solving for h: Dividing both sides of the equation by 140 feet:

8,400 feet^2 / (140 feet) = (140 feet) h / (140 feet)

60 feet = h

h = 60 feet

Answer: The altitude of the trapezoid is 60 feet.

Answer:

60

Step-by-step explanation:

Answer:

88 ft

Step-by-step explanation:  Start with the formula for the area of a rectangle:

A = L*W, where L is the length and W is the width.

Here, the width is W = 24 ft, and the area i s 480 ft^2.  Thus,

A = 480 ft^2 = L (24ft), which yields L = (480/24) ft = 20 ft.

The length of the fencing required is actually the perimeter of the yard, which is P = 2L + 2W.

Substituting 20 ft for L and 24 ft for W, we get:

P = perimeter of yard = amount of fending needed:

P = 2(20 ft) + 2(24 ft) = 88 ft

Ken would need 88 ft of fencing to enclose his entire yard.

Ken needs to buy 88 feet of fencing to enclose his rectangular yard, which has an area of 480 square feet and is 24 feet wide.

To find out how much fencing Ken would need to buy to enclose his rectangular yard, we first need to calculate the dimensions of the yard. We know the area of the yard is 480 square feet and the width is 24 feet.

To find the length, we use the following equation for the area of a rectangle (Area = length  imes width):

480 square feet = length x 24 feet

By dividing both sides by 24 feet, we obtain:

length = 480 / 24

length = 20 feet

Now, to calculate the total amount of fencing needed, we add together the lengths of all four sides:

Total fencing = 2  imes (length + width)

Total fencing =  2  imes (20 feet + 24 feet)

Total fencing = 2  imes 44 feet

Total fencing = 88 feet

Therefore, Ken needs to buy 88 feet of fencing to enclose his yard completely on all four sides.

Answer:

2/5 * pi radians = 72 degrees

Step-by-step explanation:

To convert radians to degrees, we multiply by 180/pi

2 * pi/5 * 180/pi =

The pi/pi cancels leaving

2/5 * 180

360/5

72

2/5 * pi radians = 72 degrees

Answer:

A x 5

Step-by-step explanation:

Answer:

take all evaporation numbers and add them together to get the answer u r looking for

Step-by-step explanation:

Answer:

The right answer is 1 unit or A

Step-by-step explanation: