need help


function inputs and outputs

Remember the f(x) is the same thing as y so...

y = -3x + 5

y = -1

To solve this plug -1 in for y in the equation y = -3x + 5 and solve for x

-1 = -3x + 5

-6 = -3x

2 = x

When f(x) is -1 then x is 2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

zeros

x=0  

x=4 with multiplicity 2

Step-by-step explanation:

We need to solve x^3-8x^2+16x=0

Notice each term has a factor of x in common in x^3-8x^2+16x so we can factor it as x(x^2-8x+16)

Now x^2-8x+16 is a quadratic where a=1... We can see if it is factorable by looking for two numbers that multiply to be 16 and add up to be -8 which is -4 and -4

So you have x^3-8x^2+16x=0 is equivalent to x(x-4)(x-4)=0 (this one is in factored form).

x=0

x=4 (multiplicity 2 since you had the factor that is came from occurring twice)

Answer:

y = (1/3)x

Step-by-step explanation:

If the y-intercept is (0, 0), then y = mx + b becomes y = mx.

Seeing that y increases by 1, going from (-3, 1) to (0, 0), and that x increases by 3, we determine that the slope, m, is 1/3.

The equation of this line is therefore y = (1/3)x.

Answer:it’s Y = - 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 5 cards we are selecting out of 135 cards so how many ways can we draw 5 cards at a time (w/o replacement)

There are 135 ways to choose the first card.

There are then 134 ways to choose the second card.

There are then 133 ways to choose the third card.

132 to choose the 4th

131 to choose the 5th.

Now multiply those giving 135*134*133*132*131 or you could have just said

135 P 5.

In case you don't know P means permutation.

The mathematics behind determining the number of different ways to get any 5 card hand from a deck of 135 cards involves combinatorics. Specifically, the combinations formula is used, which is C(n, r) = n! / [(n-r)!r!]. In this case, n is 135 (the total number of cards) and r is 5 (the number of cards drawn).

The subject of this question concerns probabilities in the game theory section of mathematics, specifically revolving around understanding the combinatorics of card hands in a uniquely structured card game.

Using combinatorial mathematics, the number of ways to get any 5-card hand from a deck of 135 cards can be calculated by using the combinations formula which is: C(n, r) = n! / [(n-r)!r!]. In this instance, 'n' represents the number of total outcomes (135 cards) and 'r' is the number of outcomes chosen at a time (5 cards).

So to find the number of 5-card hands, you would calculate it as follows:

C(135, 5) = 135! / [(135-5)!5!]

The factorial of a number, denoted as '!', is the product of the number and all the consecutive numbers below it down to 1. So 5! = 5*4*3*2*1. Calculating this large of a number directly can be a bit tricky, but there are online tools that can help!

https://brainly.com/question/37999460

#SPJ11

Answer:

The m∠D is 98° ⇒ answer D

Step-by-step explanation:

* Lets revise some facts in the circle

- The quadrilateral is inscribed in a circle if its four vertices lie on the

  circumference of the circle

- It is called a cyclic quadrilateral

- Every two opposite angles in it are supplementary means the

  sum of their measures is 180°

∵ ABCD is inscribed in a circle

∴ ABCD is a cyclic quadrilateral

∵ ∠A and ∠C are opposite angles in the cyclic quadrilateral ABCD

∴ ∠A and ∠C are supplementary

∴ m∠A + m∠C = 180°

∵ m∠A = 64°

∵ m∠C = (9x - 1)°

∴ 64 + (9x - 1) = 180 ⇒ simplify

∴ 63 + 9x = 180 ⇒ subtract 63 from both sides

∴ 9x = 117 ⇒ divide both sides by 9

∴ x = 13

- Lets find the measure of ∠B

∵ m∠B = (6x + 4)°

∵ x = 13

∴ m∠B = 6(13) + 4 = 78 + 4 = 82°

- Lets find the measure of ∠D

∵ ∠B and ∠D are opposite angles in the cyclic quadrilateral ABCD

∴ ∠B and ∠D are supplementary

∴ m∠B + m∠D = 180°

∵ m∠B = 82°

∴ 82° + m∠D = 180° ⇒ subtract 82° from both sides

∴ m∠D = 98°

* The m∠D is 98°

Answer:

D on plato

Step-by-step explanation:

I just took this test and the ones that say answer E is correct is WRONG it is not correct.

Hello There!

Economic utility is the amount of satisfaction a consumer receives from the consumption of a particular product or service.

Answer:

The capacity of a good or service to meet the demand of a consumer. The amount of economic utility of a good or service determines what the demand will be for that good or service, which impacts the price that people will be willing to pay to obtain it

Step-by-step explanation:------------------------------------------)-

Step-by-step explanation:

The point-slope of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have

[tex]m=1\\\\\left(\dfrac{3}{2},\ -\dfrac{1}{2}\right)\to x_1=\dfrac{3}{2},\ y_1=-\dfrac{1}{2}[/tex]

Substitute:

[tex]y-\left(-\dfrac{1}{2}\right)=1\left(x-\dfrac{3}{2}\right)[/tex]

[tex]y+\dfrac{1}{2}=1\left(x-\dfrac{3}{2}\right)[/tex] → the point-slope form

Convert to the slope-intercept form:

[tex]y+\dfrac{1}{2}=x-\dfrac{3}{2}[/tex]         subtract 1/2 from both sides

[tex]y=x-\dfrac{4}{2}[/tex]

[tex]y=x-2[/tex] → the slope-intercept form

Answer:

Diameter of tank = 19.5 ft

Step-by-step explanation:

Volume of cylinder = Base area x Height.

Base area = Area of circle

[tex]\texttt{ Area of circle}=\frac{\pi d^2}{4}[/tex]

Height = 20 ft.

Volume of tank = 6000 cubic feet .

[tex]\texttt{ Volume of cylinder = Base area x Height.}\\\\6000=\frac{\pi d^2}{4}\times 20\\\\d^2=381.97\\\\d=19.5ft[/tex]

Diameter of tank = 19.5 ft

Answer:

A.

male long sleeves: 3

Male short sleeves: 0

male rolled up sleeves: 2

Female long sleeves: 0

Female short sleeves: 2

Female rolled up sleeves: 1

B. 0/3

C. 2/5

Step-by-step explanation:

[tex]\sin\theta=-1\\\theta=-\dfrac{\pi}{2}+2n\pi, n\in\mathbb{Z}[/tex]

Answer: 270

Step-by-step explanation:sin 270 = -1

The formula for perimeter is length + length + width + width

You know that all the sides of a square are equal to each other. That means that all the values in the perimeter formula should be the same. Therefore you can divide 72 by 4 (perimeter divided by the number of sides)

72 / 4 = 18

^^^Each side is 18 in

The formula for are is...

A = length x width

so...

18 * 18 = 324

324 in^2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

m angle BOC 120

m angle AOB 205

Step-by-step explanation:

So you are given mangle AOC+mangle BOC=mangle AOB.

mangle means measure of angle.

Let's do some substituting into our equation.

85+2x+10=4x-15

Solve for x... First I'm going to combine the like terms on the left hand side:

95+2x=4x-15

Add 15 on both sides

110+2x=4x

Subtract 2x on both sides

110     =2x

Divide both sides by 2

110/2   =x

x         =110/2

x          =55

So Recall mangle BOC=2x+10   =2(55)+10=110+10=120

And you also have mangle AOB=4x-15=4(55)-15=220-15=205

2/3 hour =2/3×60 min=40 min

2/3 hour=2/3×3600 seconds=2400seconds

Answer:

5/9 cubic yards

Step-by-step explanation:

Just so L*W*H=24(36)(30)= 25920 cubic inches=25920 (1 in*1 in* 1 in)

36 in=1 yd

so

1 in =1/36 yd

do divide 25920 by (36*36*36)

The answer in cubic yards is 5/9 cubic yards

Answer:

26 mph

Step-by-step explanation:

d/t = r (distance/ time = rate)

104/4 = 26

x + 16 > 51

x>35

Thus, A and D would be the answers.

Please mark brainliest and have a great day!

That would be 32, 16 and 34.

Answer:

135°

Step-by-step explanation:

Draw a line that intersects the endpoint of the angle that is between L and K and is also perpendicular to L and K.

∠a+45°+∠b = 180°

∠a+∠b = 135°

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]\frac{1}{2}x-2y > -6[/tex]

Isolate the variable y

[tex]-2y > -6-\frac{1}{2}x[/tex]

Divide by -2 both sides

[tex]y < 3+\frac{1}{4}x[/tex]

The solution of the inequality is the shaded area below the dashed line [tex]y = 3+\frac{1}{4}x[/tex]

To plot the inequality find the intercepts

The y-intercept is the point (0,3)  (value of y when the value of x is equal to zero)

The x-intercept is the point (-12,0) (value of x when the value of y is equal to zero)

Plot the intercepts

Drawn the dashed line

shaded the region below the dashed line

The graph in the attached figure

Answer:

I think it is    D.

I could be wrong though, my apologies if I am :(

Answer:

Step-by-step explanation:

If the line has no x-intercept, then it's a horizontal line with equation

[tex]y=a,\ a\neq0[/tex]

The line passes through the point (0, -4). Therefore the equation of this line is:

[tex]y=-4[/tex]

Answer:

y = 4

Step-by-step explanation:

Since the line has no x-intercept, this means that the line has a slope of 0, meaning it is a horizontal line. So with the equation y = mx + b, mx cancels out to 0 because there is no slope. This leaves y = b, where b = 4. So the answer is y =4

The slope of the line shown in the graph is -2.

The slope of a line can be found using the formula slope = (change in y) / (change in x).

Given the points (0, 3) and (1, 1),

we can calculate the slope by finding the difference in y-coordinates and dividing it by the difference in x-coordinates.

Slope = (1 - 3) / (1 - 0) = -2.

Learn more about slope of a line here:

https://brainly.com/question/14511992

#SPJ3

Answer:

-2/3x = 1/4

x = (1/4)(-3/2)

x = -3/8

Answer:

Part 1) [tex]f(-3)=21[/tex]

Part 2) [tex]g(3)=9+21r[/tex]

Step-by-step explanation:

Part 1) Find the value of f(-3)

we have

[tex]f(x)=-6x+3[/tex]

we know that

f(-3) is the value of the function f(x) for x=-3

so

substitute the value of x=-3 in the function to find f(-3)

[tex]f(-3)=-6(-3)+3[/tex]

[tex]f(-3)=18+3[/tex]

[tex]f(-3)=21[/tex]

Part 2) Find the value of g(3)

we have

[tex]g(x)=3x+21r[/tex]

we know that

g(3) is the value of the function g(x) for x=3

so

substitute the value of x=3 in the function to find g(3)

[tex]g(3)=3(3)+21r[/tex]

[tex]g(3)=9+21r[/tex]

Answer:

minimum = 30,  Q1 = 36, median = 50.5,  Q3 = 80, and maximum = 91.

Step-by-step explanation:

We are given the following data set for the exam scored of 8 students in a math course and we are to find the five number summary:

51, 91, 46, 30, 36, 50, 73, 80

Step 1: For that, we first need to rearrange in an ascending order:

30, 36, 46, 50, 51, 73, 80, 91

Step 2: Now we will spot the smallest and largest number in the data.

Smallest number: 30

Largest number: 91

Step 3: Finding the median (middle number) now:

Median = 50+51/2 = 50.5

Step 4: Placing parenthesis around the number before and after the median values:

(30, 36, 46) 50, 51 (73, 80, 91)

Find Q1 (median in the lower half of the data) and Q3 (median for the upper half of data):

Q1 = 36

Q3 = 80

Five step summary:

minimum = 30,  Q1 = 36, median = 50.5,  Q3 = 80, and maximum = 91.

Answer:

Minimum = 30, Maximum = 91, Median = 50.5, Q₁ = 36, Q₃ = 80

Step-by-step explanation:

We have to find the five-number summary of the given data represents the semester exam scores of 8 students in a math course.

The five-number summary includes 5 items:

1. The minimum

2. Q₁ (First quartile)

3. Median

4. Q₃ (Third quarlile)

5. The maximum

First we put the numbers in ascending order (lowest to highest)

30, 36, 46, 50, 51, 73, 80, 91

Now find the minimum and maximum from your data set.

Minimum = 30 and Maximum = 91

Now find the median, median is the middle number. But we have 50, 51 two middle numbers so we take the median of those numbers =

Median = [tex]\frac{(50+51)}{2}[/tex] = 50.5

Median = 50.5

Now place parenthesis around the numbers before and after the median values

30, 36, 46, 50, 51, 73, 80, 91

Median of lower half of the data Q₁ = 36

Median of upper half of the data Q₃ = 80

Five-number summary found

Minimum = 30, Maximum = 91, Median = 50.5, Q₁ = 36, Q₃ = 80

[tex]\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{\frac{7}{5}})~\hspace{10em} slope = m\implies \cfrac{6}{19} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\cfrac{7}{5}=\cfrac{6}{19}[x-(-1)]\implies y-\cfrac{7}{5}=\cfrac{6}{19}(x+1)[/tex]

Answer:

5 nickels

Step-by-step explanation:

You can setup and solve a system of equations, or you can solve by trial and error until you get the correct answer.

Here is the solution by trial and error.

If all 20 coins are quarters, the value is 20 * $0.25 = $5

That is too much value.

Let's try 16 quarters. 16 quarters are worth 16 * $0.25 = $4.

That is the correct value, but it is only with quarters, and only 16 of them.

We need fewer quarters than 16.

Try 12 quarters: 12 * $0.25 = $3.00

The number of nickels is: 20 - 12 = 8

8 nickels are worth 8 * $0.05 = $0.40

12 quarters and 8 nickels are worth $3.00 + $0.40 = $3.40

There are 20 coins, but the value is too low.

The number of quarters is between 12 and 16.

Try 14 quarters and 6 nickels:

14 * $0.25 + 6 * $0.05 = $3.50 + $0.30 = $3.80

We are closer to $4 but not there yet.

Try 15 quarters and 5 nickels.

15 * $0.25 + 5 * $0.05 = $3.75 + $0.25 = $4

The total value is $4 and there are 20 coins. This is the answer.

15 quarters and 5 nickels works.

Answer: 5 nickels

Answer:

Answer is D: 9

Step-by-step explanation:

you would do 2x-6=12

Next: add 6 to both sides: 2X=18

Next: divide both sides by 2

Answer: X=9

Given that Benjamin's age is 6 years less than twice Lucas's age and Benjamin is 12 years old.

Let x and y represent Luca's age and Benjamin's age respectively.

Then, according to the given information, we have

y = 2x-6⇒1

y=12      ⇒2

Substituting the value of y from equation (2) in (1), we get

y=2x-6

⇒12=2x-6

⇒2x=12+6

⇒2x=18

⇒x=18/2

∴ x=9

Lucas's age is Option D. 9

Thus, the required age for Luca is 9 years.

To learn more about age, refer

https://brainly.com/question/16568346

#SPJ2

Answer:

y = [tex]\frac{1}{27}[/tex]

Step-by-step explanation:

Given

y = [tex]3^{x}[/tex] and (- 3, y) is a point on the graph, then

y = [tex]3^{-3}[/tex] = [tex]\frac{1}{3^{3} }[/tex] = [tex]\frac{1}{27}[/tex]

Answer:  The required value of y is [tex]\dfrac{1}{27}.[/tex]

Step-by-step explanation:  We are given that the point (-3, y) lies on the graph of the following equation :

[tex]y=3^x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We are to find the value of y.

Since the point (-3, y) lies on the graph of equation (i), so it will satisfy the equation.

Therefore, substituting (-3, y) in equation (i), we get

[tex]y=3^{-3}\\\\\Rightarrow y=\dfrac{1}{3^3}\\\\\\\Rightarrow y=\dfrac{1}{27}.[/tex]

Thus, the required value of y is [tex]\dfrac{1}{27}.[/tex]

Answer:

3.

Step-by-step explanation:

We have a triangle where opposite side = 12 , adjacent side = 5 and hypotenuse =  √(12^2 + 5^2) = 13   (because cot a = adjacent/ opposite side).

So  2sina - 3cosa / 4sina - 9cosa

= (2 * 12/13 - 3 * 5/13) / ( 4 * 12/13 - 9 * 5/13)

= (24/13 - 15/13) / (48/13 - 45/13)

=  9/13 / 3/13

= 9/13 * 13/3

= 3.

Answer:

b

Step-by-step explanation:

25 minutes

Answer:

B.25

Step-by-step explanation:

To find the amount of minutes, divide the total amount of feet from the feet per minute:

60000/2400 = 25

B. 25 is the amount needed to climb to 60,000 feet.

~