A function f(x) is graphed on the coordinate plane.

What is the function rule in slope-intercept form?


Enter your answer in the box below.

f(x) = ____

Answer:

Step-by-step explanation:

It is assumed the triangles in the picture are similar.

As per similarity, the ratio of corresponding sides is same.

Compare the ratios and find the value of x:

Find the length of MN:

[tex]\\ \sf\longmapsto \dfrac{12}{5}=\dfrac{2x-4}{15}[/tex]

[tex]\\ \sf\longmapsto 15(12)=5(2x-4)[/tex]

[tex]\\ \sf\longmapsto 180=10x-20[/tex]

[tex]\\ \sf\longmapsto 10x=200[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

Answer:

2640mm

Step-by-step explanation:

I'm assuming you need the area of the rectangle which the circles don't take up.

First, to find the area of the whole rectangle:

length x width

to find length:

the length is 1 circle, therefore it is the diameter of the circle, which is 32 x 2 = 64mm

to find width:

the width is 3 circles, which is the radius 6 times, so 32 x 6 = 192mm

So, area of rectangle = 64 x 192 = 12288mm

Now to find the area the circles take up:

area of 1 circle =

[tex]\pi \times {r}^{2} [/tex]

=

[tex]\pi \times {32}^{2} [/tex]

=

[tex]1024\pi[/tex]

As we have 3 circles, we multiply this by 3:

[tex]1024\pi \times 3 = 3072\pi[/tex]

Finally we subtract the area of the three circles from the area of the rectangle:

[tex]12288mm - 3072\pi = 2637[/tex]

As we need to round it to 3 significant figures, the answer is 2640mm

Answer:

75m

Step-by-step explanation:

They are similar triangles: they have two corresponding angles: in a triangle with an angle of 90°, the other two will be of 45°.

Now that we know they are similar, we can calculate the ratio of the sides, by doing 10/2=5

We want to know the side AT, so we can do that by multiplying DC for 5:

DC = 15 × 5 = 75m

You can also check this by applying Pythagoras' Theorem:

DB =

[tex] \sqrt{15^{2} + 2^{2} } [/tex]

Which equals 15.1 m

The hypotenuse of the other triangle is 15.1 × 5 = 75.5 m

Finally, we can apply for the last time the Pythagoras' Theorem to find AT:

[tex] \sqrt{75.5^{2} - 10 {}^{2} } [/tex]

Which equals 74.8 = 75 m

Answer:

b

Step-by-step explanation:

Answer:

-1 + 4 = -0.25(-4-8)

Step-by-step explanation:

Step 1: graph your points

Step 2: draw a line thru the points

Step 3 find the slope: -0.25 or -1/4

SLOPE POINT FORM:

y-y1=m(x-x1)

(-1)-(-4) = -0.25(-4-8)

-1 + 4 = -0.25(-4-8)

Hope that helps

Answer:

240

Step-by-step explanation:

36+4=40

40x6=240

Answer:

Sum of exterior angle is [tex]360^0[/tex]

Value of each exterior angle is [tex]120^0[/tex]

Step-by-step explanation:

Sum of interior angles of a polygon with n sides [tex]=(n-2)\times180[/tex]

Here

[tex](n-2)180=180\\\\n=3[/tex]

Hence the polygon is triangle

Sum of exterior angle is [tex]360^0[/tex]

Sum of one exterior angle

[tex]=\frac{360}{3} \\\\=120^0[/tex]

Answer:

43/10 pounds = 4 3/10 pounds

Step-by-step explanation:

for this you want to subtract 6 7/10 minus 2 2/5. You first have to get a common denominator and find the numerator then subtract.

Answer:

 B.  4200

Step-by-step explanation:

A suitable calculator can add the terms for you. (See attached)

__

The first term is 69, and the common difference is 75-69 = 6. The general term is ...

  an = a1 +d(n -1)

  an = 69 +6(n -1)

Then the 28th term is ...

  a28 = 69 +6(27) = 231

The average term is (a28 +a1)/2 = (231 +69)/2 = 150.

The sum is the number of terms multiplied by the average term:

  sum = 28×150= 4200

The expected result for each shot is a loss of $ 12.50, so if 100 people played, Sophie would win on average about $ 1250. Lastly, Sophie should charge $ 5.77 for this value to be fair.

Since Sophie charges you $ 25 to get a chance to shoot at a target, and if you hit the bullseye, you get a $ 100 (win $ 75), and if you miss the bullseye but are within two circles of it, you get your money back, and over the course of sophies career, she finds that 5% of people hit the bullseye and 30% of people miss but are within two circles, while all other contestants miss by further and lose; to determine what is the expected amount for you to win or lose; how much money would you expect Sophie to win or lose if 100 people played the game; and what should she charge to make this game fair, the following calculations must be performed:

Therefore, the expected result for each shot is a loss of $ 12.50, so if 100 people played, Sophie would win on average about $ 1250. Lastly, Sophie should charge $ 5.77 for this value to be fair.

Learn more about maths in https://brainly.com/question/25885499

Answer:

Option A: (-10,0)

Step-by-step explanation:

The given equation of the parabola is in the form of [tex]y^2=4ax[/tex] where the focus is located at [tex](a,0)[/tex]. Therefore, the focus of the parabola is [tex](-10,0)[/tex].

Answer: 21

Step-by-step explanation:4/4=1  5x4=20  20+1 = 21

Answer:

D

Step-by-step explanation:

i may be wrong. if i am, sorry. but a vertice is basically just a point.

The vertices of the given triangle PQR are P, Q and R. Therefore, the correct answer is option D.

A vertex (plural vertices) in geometry is the intersection of two straight lines. Three line segments come together to form a triangle. The ends of a triangle's three sides meet at three separate points in a plane to form the triangle, which has three sides with two endpoints each. The vertices of a triangle are the three distinct intersecting points or corners.

Vertices of the triangle are represented by letters.

In triangle PQR, vertices are P, Q and R.

Therefore, the correct answer is option D.

Learn more about the triangle here:

brainly.com/question/2773823.

#SPJ2

Answer:

Step-by-step explanation:

3x(5x+8y)=15x^2+24xy

4x(3x^2+5x-7)=12x^3+20x^2-28x

(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2

(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14

Answer:

87 or 88

Step-by-step explanation:

86 is 98% of 87.755102

So, the number of problems must have been 87 or 88

Answer:

3-4

because 12 ÷4 is 3 but there is 13 so you add 1 ball so in each there is

4 3 3 3

Answer:

17 coaches

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

Answer:

17 coaches  

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

[tex]10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}[/tex]

Answer:

y = - 2.5x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

10x + 4y = 16 ( subtract 10x from both sides )

4y = - 10x + 16 ( divide through by 4 )

y = [tex]\frac{-10}{4}[/tex] x + 4 , that is

y = - 2.5x + 4 ← in slope- intercept form

Answer:

You cannot expect someone to type the "right" answer if you dont put the time to even spell it out correctly next time think abt it a bit more ^^

The correct answer is m<- 2  7/12

Step-by-step explanation:

This is for the k12 6.01 Quiz: One-Step Addition or Subtraction Inequalities

Good luck everyone of the rest !!!!

The solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

Given are the inequalities and it is asked to solve for [m].

The given inequalities are given as follows -

m + 13 < − 214

m > − 11112

m > − 2712

m < − 11112

m < − 2712

Now, we can write -

m + 13 < − 214

m < - 214 - 13

m < - 227

Remaining all inequalities are far far smaller than -227. So, we can say that the solution for m as : m ∈ (- ∞, -227)

Therefore, the solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

To solve more questions on functions, expressions and polynomials, visit the link below -

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Answer:

3.636 hour. dividing 200miles /55m/h =3.636h

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

You should put both answers that were given to you. The answer on top seemed to do it the mathematical way youre suppose to. Maybe the teacher will take both answers i don’t know

Max won't be able to afford the payments.

Since Max found a car he wants to buy that costs $16,000, and he can afford to pay $ 250 a month for the car, and his bank offers him a car loan of 7.3%, and the length of his loan should be about 5 years, to determine if he can afford the payments, the following calculation must be performed:

Therefore, each monthly payment will be $ 379.28, so Max won't be able to afford the payments.

Learn more about maths in https://brainly.com/question/25927059

Answer:

Undefined.

Step-by-step explanation:

If you try to cancel x or y, you'll cancel both, and won't be able to find the values of any of those variables.

Answer:

C

Step-by-step explanation:

If the line goes from 6 to 0 then that means it is decending and that T is LESS than 6

i.e

[tex]\\ \sf{:}\Rrightarrow -4+6=2[/tex]

New co-ordinates:-

[tex]\\ \sf{:}\Rrightarrow F(2,6)[/tex]

Answer:

32

Step-by-step explanation:

There are 80 biscuits inside the tin.

Also, they said that those biscuits are in the ratio

Short bread    :      Choc - chip

          2          :        3

Altogether there are 5 shares ( 2 + 3)

And now you can divide 80 by 5 to find how many biscuits contain per a share.

80 ÷ 5 = 16

In the question, they asked us to to find the number of short biscuits inside the tin.

Let us find that.

There are 2 shares for short bread biscuits.

So,

Number of short biscuits ⇒ 2 × 16

                                         ⇒ 32

Hope this helps you :-)

Answer:

{x| -2 ≤ x < 5}

Step-by-step explanation:

The domain is the x value in a graph, function e.t.c. From the farthest point to the left of the x-axis, we see -2. And from the farthest point to the right of the x-axis, we see 5. Therefore, the domain is {x| -2 ≤ x < 5}, Option C

Look here for visuals:

The domain of the step function g(x) is (c) {x I -2 <= x <5 }

The domain of a function is the set of input values the function can take.

From the graph, the x-values begin as -2 with a closed circle, and it ends at 5 with an open circle

The open circle means that -5 is not part of the domain, while the closed circle means that -2 is inclusive of the x-values

Hence, the domain of the step function g(x) is (c) {x I -2 <= x <5 }

Read more about domain at:

https://brainly.com/question/1770447

Answer:

3/8

Step-by-step explanation:

simply multiply 1/8 by 3/1

3X1 is 3 and 8X1 is 8 so 3/8