which expressions are equivualent

i did this last year lol ;-;

The function h(x) is h(x)=5/4 x² - 5/2 x.

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.

Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)

So, 5=a(-2-0)²+0

5=4a

a=5/4

Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get

f(x)= 5/4 x²

Equation of straight line with coordinates (-2, 5) and (0, 0) is

Slope m=5/2

Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get

0=5/2(0)+c

c=0

Substitute, m=5/2 and c=0 in y=mx+c we get

y=5/2 x

So, g(x)=5/2 x

Now, h(x)=f(x)-g(x)

h(x)=5/4 x² - 5/2 x

h(x)=5/2 x(1/2 x-1)

1) h(x)=0

5/2 x(1/2 x-1) =0

1/2 x-1=0

1/2 x=1

x=2

2) For x=2, h(x) is 0

3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.

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B C D F are the right answers

Step-by-step explanation:

Answer   c,e

Step-by-step explanation: i just did it

Answer:

The side lengths of the tile are 8 Inches and 10.5 Inches.

Step-by-step explanation:

Perimeter of a parallelogram = 2(a + b)

Let

a = shorter side

b = longer side

b = a + 2.5 inches

The perimeter of each tile is 37 inches

Perimeter of a parallelogram = 2(a + b)

37 = 2{a + (a + 2.5)}

37 = 2{a + a + 2.5}

37 = 2(2a + 2.5)

37 = 4a + 5

37 - 5 = 4a

32 = 4a

Divide both sides by 4

a = 32/4

= 8

a = 8 inches

b = a + 2.5 inches

= 8 + 2.5

= 10.5 inches

b = 10.5 inches

The side lengths of the tile are 8 Inches and 10.5 Inches.

Answer:

x is 2 and 6 is y

Step-by-step explanation:

Answer:

20%.

1.2/1.5 = 0.8

0.8*100 = 80%

100%-80% = 20%.

We can verify this:

1.5-20% = 1.2.

Answer: 20%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

well figure it out

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

Answer:

If I am correct, the answer is A, C

Step-by-step explanation:

Answer:

x = −1

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Original Equation:

15 + 4x = 12 + x

Subtract x from both sides

15 + 3x = 12

Subtract 15 from both sides

3x = -3

Divide both sides by 3

x = -1

Hope this helps :)

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Answer:

Perpendicular

Step-by-step explanation:

Slope of l1=6\9 = 2\3

Slope of l2 =-3\2

perpendicular lines

Answer:

perpendicular

Step-by-step explanation:

l1 slope= 2/3

l2 slope= 3/2

Answer:

6 ounces equals to 170 grams

Step-by-step explanation:

Answer:  y = 3x - 4  will be the parallel line to the line  y= 3x -1

Step-by-step explanation:

Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b  where m is the slope and b is the

y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.

 5= 3(3) + b  

5 =  9  + b

-9    -9

b = -4    

Since the y intercept is negative 4, the equation will be  y = 3x -4

=√40 = 6.32455 ≈ 6.3

Answer:  B )  6.3

Answer:

4+8+10+6=28

Step-by-step explanation:

Answer:

54 years

Step-by-step explanation:

Joyce age = x

Alex age = y

3x = 2y - - - (1)

y - 9 = 2(x - 9)

y - 9 = 2x - 18

-9 + 18 = 2x - y

9 = 2x - y

y = 2x - 9 - - (2)

3x = 2y

3x = 2(2x - 9)

3x = 4x - 18

18 = 4x - 3x

18 = x

Hence,

Mrs stone is 3 * 18 = 54 years

Answer:

0.64, she spent 64% of her money.

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

the slope is -3 because it goes down 3 y for every 1 forward on x

Answer:

[tex]m=-3[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, -3)

Point (-1, 3)

Step 2: Find slope m

Answer:

D, because parallel lines never have a solution.

Step-by-step explanation:

The graphs which show no solution is required.

Option D has no solution.

When a system of linear equations have a solution means that the lines intersect each.

This means for a given [tex]x[/tex] value of both equations there exists the same [tex]y[/tex] value.

Options A, B and C all have lines that intersect each other at some point.

In option D the lines are parallel to each other.

So, option D has no solution.

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Answer

-10,-7,0,98,145

Step-by-step explanation:

Integers are whole numbers negative or positive.

Hope that helped :)

Answer:the exact form is x=5/2 if its wrong then its probably wrote in a different way

Step-by-step explanation: Move all terms that don't contain  

x

to the right side and solve.

Answer:

x= 2.5

Step-by-step explanation:

Simplifying

2x + -14 = -9

Reorder the terms:

-14 + 2x = -9

Solving

-14 + 2x = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.

-14 + 14 + 2x = -9 + 14

Combine like terms: -14 + 14 = 0

0 + 2x = -9 + 14

2x = -9 + 14

Combine like terms: -9 + 14 = 5

2x = 5

Divide each side by '2'.

x = 2.5

Simplifying

x = 2.5

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Follow the following steps

[tex]4.3x - 6 = 2.3x + 8 \\ - 2.3x \: \: \: \: \: \: \: \: \: - 2.3x \\ 2x - 6 = 8 \\ + 6 \: \: \: \: + 6 \\ 2x = 14 \\ \div 2 \: \: \div 2 \\ x = 7[/tex]

Answer:

67,900

Step-by-step explanation:

Answer:

our width is 9 and our length is 14

Step-by-step explanation: