PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.

First find the slope m. slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Let's use (0, -20) for x1 and y1; and (2, 10) for x2 and y2

[tex]\frac{10-(-20)}{2-0}[/tex] = [tex]\frac{30}{2}[/tex] = [tex]15[/tex]

Now find the y-intercept: the point where the graph crosses the y-axis. The y intercept always has an x value of 0. So -20 is the y-intercept

Use the slope formula [tex]y = mx + b[/tex]. Slope=m, y-intercept = b

y = 15x - 20

y is the money in the bank account in dollars

x is the day

Correct Question is:

Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?

1. The graph of h(x) passes the vertical line test.

2. The graph of the inverse of h(x) is a vertical line.

3. The graph of the inverse of h(x) passes the horizontal line test.

4. The graph of h(x) passes the horizontal line test.

Step-by-step explanation:

Answer is Option 2: The graph of the inverse of h(x) is a vertical line.

A given expression in x i.e. y = f(x) will be a function if and only if there exists only one value of y that is true for every value of x. We will do the vertical line test for verification if the inverse of a function is a

If we plot f(x) and draw a straight line parallel to y-axis from a point x belonging to its domain and this line meets the curve at only one point then f(x) will be a function. This test is called vertical line test.

So if the graph of inverse of h(x) passes the vertical line test then the inverse of h(x) is also a function.

Answer:

(5x-2)(5x+2)

Step-by-step explanation:

Differences of squares is basically (a2-b2) = (a-b) (a+b)

a = 5x and b = 2 in this case

Brainliest is appreciated :)

Answer:

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

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = [tex]\frac{0-3}{2-0}[/tex] = - [tex]\frac{3}{2}[/tex]

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - [tex]\frac{3}{2}[/tex] x + 3 ← equation of line

Answer:

(3,20)

Step-by-step explanation:

so O must be 0,0 and A is a midpoint of OB

This means B must be (14,12)

B is the midpoint of TS.

This means that the distance of SB is equal to the distance of BT.

This must mean that the coordinate of T must be (3,20)

O: (0,0)    x coordinate increases by 7. y coordinate increases by 6.

A: (7,6)

B: (14,12)

S: (25,4)    x coordinate decrease by 11. y coordinate increases by 8.

B: (14,12)

T: (3,20)

The coordinates of T are (3, 20).

A straight line is an endless one-dimensional figure that has no width.

From the figure, A is the midpoint of OB and B is the midpoint of TS

The coordinates of O are (0, 0) and Coordinates of A are (7,6)

We can find coordinate of B.

(7, 6)=(0+x/2, 0+y/2)

(7,6)=(x/2, y/2)

x/2=7   and    y/2=6

x=14               y=12

So the coordinates of B are (14, 12)

Now we can find the coordinates of T.

(14, 12)=(X+25/2, Y+4/2)

X+25=28

x=3

Y+4=24

Y=20

So the coordinates of T are (3, 20)

Hence, the coordinates of T are (3, 20).

To learn more on Straight lines click:

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Answer:

36 ounces

Step-by-step explanation:

3 pounds is 48 ounces - 12 pounds used gives you 36 ounces which is 2 pounds and a quarter ( 2 1/4)

Answer:

25.6

Step-by-step explanation:

Use the distance formula.

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]

The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (5, 13) and (-8, -9)

[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]

d = √(169+484)

d = 25.55 units ≈ 25.6 units

Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

Learn more about the distance formula here:

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Answer:

v

Step-by-step explanation:

Answer:

the correct answer is 4(10 -b)

Answer: 52.5cm²

Step-by-step explanation:

Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.

To work out the area of the rectangle you would have to do 8x5=40.

To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.

Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5

To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²

Hope this helps :)

Answer:

Decimal form:0.23529411764

Fraction form:

Step-by-step explanation:As a decimal fraction:

23529411764/100000000000

The Greatest Common Factor

of 23529411764 and 100000000000 is:4

Simplify the fraction:

23529411764 / 4

100000000000 / 4

Simplified:

5882352941/25000000000

Answer:

sin (55)  =  DE / AD

AD  =  DE / sin (55)

AD  =  8 / sin (55)

And  

tan (55) = DC / AD

tan (55)  = DC / [8 / sin (55) ]

DC  =  8 tan (55) / sin (55)    

AD * DC  =

[8 /sin (55) ]  [ 8 tan (55) / sin (55) ]   =    136 units^2  

Step-by-step explanation:

f

Answer:

5 X 4 is the correct answer.

Step-by-step explanation:

I don't know exactly what the question is asking, but there are 5 sections of 4 squares, which makes 24, so that would seem like the best answer to choose.

Answer: B and D

Step-by-step explanation:

Answer:

r = 8

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (r, 6)

m = [tex]\frac{6+6}{r-4}[/tex] = [tex]\frac{12}{r-4}[/tex] , then

[tex]\frac{12}{r-4}[/tex] = 3 ( multiply both sides by (r - 4))

12 = 3(r - 4) ← divide both sides by 3

4 = r - 4 ( add 4 to both sides )

8 = r

Answer:

y=f(x)

Step-by-step explanation:

This means it falls under x axis

Q2. f(x) moves to the left

Q3. moves to the right

So the arrow goes through (-2 and -2) so your answer would be -4

-2+-2=-4

Hope this helps

Step-by-step explanation:

LCM for 7 by 24=168

LCM for 17 by 36=612

9514 1404 393

Answer:

  (a)  ❘-270 - 30❘

Step-by-step explanation:

One score is -270 and the other is +30. The difference is either of ...

  |30 -(-270)|

or

  |-270 -30| . . . . . . matches choice A

Answer:

permiter 68ft

area 204ft²

Step-by-step explanation:

25ft+26ft+17ft=68ft

1/2×17ft×24ft=204ft²

I hope it's help

Answer:

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

The white squares

[tex]a = 2[/tex] --- initial

[tex]d = 4 - 2 = 6 - 4[/tex]

[tex]d = 2[/tex] -- difference between successive gray squares

So, the nth term is:

[tex]W_n = a + (n - 1)d[/tex]

[tex]W_n = 2 + (n - 1)*2[/tex]

[tex]W_n = 2 + 2n - 2[/tex]

[tex]W_n = 2n[/tex]

The gray squares

[tex]a = 6[/tex] --- initial

[tex]d = 8-6=10-8[/tex]

[tex]d = 2[/tex] -- difference between successive gray squares

So, the nth term is:

[tex]G_n = a + (n - 1)d[/tex]

[tex]G_n = 6 + (n - 1) *2[/tex]

[tex]G_n = 6 + 2n - 2[/tex]

[tex]G_n = 4 + 2n[/tex]

When the white squares is 16

[tex]W_n = 16[/tex] --- Calculate n

[tex]W_n = 2n[/tex]

[tex]16 = 2n[/tex]

[tex]8 = n[/tex]

[tex]n = 8[/tex]

To get the number of gray squares;

Substitute [tex]n = 8[/tex] in [tex]G_n = 4 + 2n[/tex]

[tex]G_n = 4 + 2 * 8[/tex]

[tex]G_n = 20[/tex]

Answer:

6x-3

Step-by-step explanation:

remove breceket

3×2 =6

3×-1= -3

answer is 6x-3

Answer:

Angle BAC = 62.35

Step-by-step explanation:

Here, we want to get the angle marked BAC

From the diagram, we have the angle ABC as 90

This is because angle at the center is twice the angle at the circumference

Furthermore, using the arc angle relationship;

angle ACB is half arc AB

so ACB angle is 55.3/2 = 27.65

mathematically;

Angle BAC + 27.65 + 90 = 180

This is because sum of angles in a triangle is 180

Thus;

angle BAC = 180-90 - 27.65

angle BAC = 62.35

Answer:7

Step-by-step explanation:

Answer:

9 ounces.

Step-by-step explanation:

Answer:

12 ounces on the box

Step-by-step explanation:

l have tried