Use the graph of the function y = (x + 3)(x - 2) to find the
solutions of the quadratic equation 0 = (x + 3)(x - 2).
The solutions of the quadratic equation 0 = (x + 3)(x - 2) are

-6 and 0.
4 and 3.
-3 and 2
-2 and 1.

Answer:

5: 3

Step-by-step explanation:

20:12

Divide each side by 4

20/4:12/4

5: 3

Answer:

5:3

Step-by-step explanation:

Simplify 20 and 12 until they cannot be divided as a whole anymore.

20=10=5

12=6=3

Answer:

192cm²

Step-by-step explanation:

If you cut the shape into 2 and you do 8×8 which is 64cm²

Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²

Answer:

here's the answer and proof in the image below

Step-by-step explanation:

Answer:

x=73

Step-by-step explanation:

Answer:

68cm²

Step-by-step explanation:

6+11=17

17÷2=8.5

8.5×8=68

Answer:

68 sq cm

Step-by-step explanation:

11+6=17

17/2=8.5

8.5*8=68

Answer:

-24

Step-by-step explanation:

To find the y intercept, plug x in as 0.

Answer:

-24

Step-by-step explanation:

Y intercept is where graph cuts the y axis and it satisfies x=0

So put x=0 in your equation

F(0)= -8 x 3

F(0)= -24

Therefore y-intercept= -24

Answer:

A.  y=2x-2

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

to find the slope intercept formula u need the slope, the y-intercept, and the X and Y

1st step: find the slope and to find the slope, pick any two points from the line

point 1: (2,2)

point 2: (3,4)

slope= y2-y1/x2-x1

4-2/3-2=2/1 or 2

the slope intercept form is y=mx+ b, so now substitute the variables for the known

y=2

x=2

m=2

2=2(2)+b

solve the equation

2=4+b

subtract 4 on both sides

b=-2

the slope intercept form is y=2x-2

Answer:

h<0

Step-by-step explanation:

75+125h ≤ 750

h≤ 8.333

for negative values of h the inequality will not hold true

Answer:

D 57

Step-by-step explanation:

The value of X

Answer:

[tex] \frac{4}{3?} \times 3.14 \times 24}^{3 [/tex]

Answer:

see below

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (24)^3

V = 4/3*13824 pi

   18432 pi

If we approximate pi by 3.14

V =57876.48

Or using the pi button

V =57905.83579

Answer:

15 inches

Step-by-step explanation:

As the square cake was cut in two equal pieces, we have that one side of the rectangle is the double of the other side, so we have that:

2*Length + 2*Width = 45

Length = 2*Width

So using the value of length in the first equation, we have:

4*Width + 2*Width = 45

6*Width = 45

Width = 7.5

Length = 2*Width = 15

So each side of the original cake is equal to the length of the rectangle pieces, that is, 15 inches.

Answer:

Two intervals are 63 and 75

Step-by-step explanation:

Given:

Mean of students (μ) = 69 inches

Standard deviation (σ) = 3 inches μ

Find:

Interval of heights (95%) using empirical rule

Computation:

Interval of heights (95%) using empirical rule:

⇒ μ – 2σ = 69 - 2(3)

⇒ μ – 2σ = 69 - 6

⇒ μ – 2σ = 63

⇒ μ + 2σ = 69 + 2 (3)

⇒ μ + 2σ = 69 + 6

⇒ μ + 2σ =  75

Two intervals are 63 and 75

Answer: 65.5, 72.5

Step-by-step explanation:

Answer:

The missing pieces should be after line 3.

9/4 = (x - 3)^2

<=> (3/2)^2 = (x - 3)^2

<=> x - 3 = 3/2 or x - 3 = -3/2

<=> x = 3 + 3/2 or x = 3 - 3/2

<=> x = 9/2 or x = 3/2

Hope this helps!

:)

Answer:

I think the missing steps are:

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

and

[tex]\frac{9}{2}=x[/tex]

Step-by-step explanation:

[tex]-27=4x^2-24x[/tex]

First, factor 4 to make isolate [tex]x^2[/tex]

[tex]-27=4(x^2-6x)[/tex]

Now, divide by 4.

[tex]-\frac{27}{4}=x^2-6x[/tex]

Complete the square by adding [tex](\frac{b}{2})^2[/tex]

[tex](\frac{b}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{b}{2})^2[/tex]

[tex](\frac{6}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{6}{2})^2[/tex]

[tex](3)^2-\frac{27}{4}=x^2-6x+ (3)^2[/tex]

[tex]9-\frac{27}{4}=x^2-6x+9[/tex]

Solve the difference.

[tex]\frac{9*4-27}{4}=x^2-6x+9[/tex]

[tex]\frac{36-27}{4}=x^2-6x+9 \\\frac{9}{4}=x^2-6x+9[/tex]

Factor the equation.

[tex]\frac{9}{4}=(x-3)(x-3)[/tex]

Rewrite it;

[tex]\frac{9}{4}=(x-3)^2[/tex]

Extract the square root.

[tex]\sqrt{\frac{9}{4} }=x-3[/tex]

Take the square root of 9 and 4.

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

Add 3.

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

Do the sum

[tex]\frac{3+2*3}{2}=x\\\frac{3+6}{2}=x\\\frac{9}{2}=x[/tex]

Answer:

the answer is m = 1/5

Step-by-step explanation:

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the given equation of the line is 0.2.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c, slope intercept form

y - y₁ = m(x - x₁), point-slope form

where,

x and x₁ are the coordinates of the x-axis,

y and y₁ are the coordinates of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The equation of a line in the point-slope form is y–9=(1/5)(x-2). Therefore, the slope of the line is (1/5).

Learn more about Equation of Line:

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Answer:

x^2 +2x -15

Step-by-step explanation:

FOIL

(x-3)(x+5)

first x*x = x^2

outer 5x

inner -3x

last -3*5 = -15

Add them together

x^2 +5x-3x-15

Combine like terms

x^2 +2x -15

Answer:

its 43

Step-by-step explanation:

i had a test with the same question, i promise its right :)

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

Answer:

4

Step-by-step explanation:

5x = 20

x= 20/5

x = 4!

hope this helps ! <3

mark brainliest plz!

Answer:

4

Step-by-step explanation:

Divide 20 by 5 to find x

Answer:

5 ± 3 √ 17 /16

Step-by-step explanation:

Answer:

Step-by-step explanation:

x =(5-√153)/16=(5-3√ 17 )/16= -0.461

x =(5+√153)/16=(5+3√ 17 )/16= 1.086

(23x2 - 5x) - 4 = 0

Answer:

128

Step-by-step explanation:

128 is the right

peanut butter

Answer:

36

Step-by-step explanation:

Answer:it is b2 I took the test

Step-by-step explanation:

Now mark me braunliest

Answer:

She earns £11 per hour

Step-by-step explanation:

You divide £440 with 5 days of the week and then you get how much she earns in a day. And then you devide with 8 and u get £11.

Caroline will earn £11 for working per hour.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that caroline works 8 hours a day 5 days a week she earns £440 each week.

The earnings for an hour will be calculated as,

Total hours = 8 x 5 = 40 hours

Earning per hour = £440 / 40

Earning per hour =  £11

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Answer:

the first one

Step-by-step explanation:

Answer:

i think its 1260

Answer:

Answer:

There are 12 possible outcomes in this sample space.

Step-by-step explanation:

There are 3 sweaters. For each sweater, there are 4 skirts. 3 multiplied by 4 is 12.

Answer:

Humans have limited powers as, but most of us desire to gain the ability to have supernatural powers for fame and fortune. However, only with a radical mutation in the DNA can abilities and powers turn out in them.

Step-by-step explanation:

Answer:

(2,-2)

Step-by-step explanation:

The solution to a system of equations like these, is where the two lines intersect. In this case, I believe, it would be at point (2,-2). Although, it is a little hard to pinpoint without the labeled number lines.

Hope this helps! Best of luck!