Hatah and his 3 friends are each running an equal part of a la mile race.

Match each quadratic graph to its respective function

Anna11 [10]

Answer:

f(x) = (x - 3)(x + 1) → Corresponds with the first (raised higher ) ∪ shaped graph

f(x) = -2(x - 1)((x + 3) → Corresponds with the ∩ shaped graph

f(x) = 0.5(x - 6)((x + 2) → Corresponds with the second (lower) ∪ shaped graph

Step-by-step explanation:

For the function f(x) = (x - 3)(x + 1)

We have;

When x = 0, y = -3

When y = 0 x = 3 or -1

Comparing with the graphs, it best suits the first ∪ shaped graph that rises here than the other ∪ shaped graph

For the function;

f(x) = -2(x - 1)((x + 3)

When x = 0, y = 6

When y = 0, x = 1 or -3

Which corresponds with the ∩ shaped graph

For the function;

f(x) = 2(x + 6)((x - 2)

When x = 0, y = -24

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = 0.5(x - 6)((x + 2)

When x = 0, y = -6

When y = 0, x = 6 or -2

Which best suits the second ∪ shaped graph that is lower than the other (first) ∪ shaped graph

For the function;

f(x) = 0.5(x + 6)((x - 2)

When x = 0, y = -6

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = (x + 3)((x - 1)

When x = 0, y = -3

When y = 0, x = -3 or 1

Graph not included

7 0

2 years ago

A shop has a piece of ribbon that is 25m long. They need to divide the ribbon into 8 equal pieces. How long will each piece of r

Vedmedyk [2.9K]

Answer:

Each piece will be 3.125m long.

Step-by-step explanation:

To find this, divide the amount of ribbon you have by the amount of pieces that you need.

25m/8pieces = 3.125m per piece

3 0

2 years ago

Calculate the value of each expression:<br> (-8)•(-2/3)<br> SHOW YOUR WORK:

inna [77]

Answer: $\frac{16}{3}$

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

In this case, given the following expression:

$(-8)(-\frac{2}{3})$

You can idenfity that both factors are negative. Then, the product (The result of the multiplication) will be positive.

Then, in order to get the product, you need to multiply the numerator of the fraction by -8. So, you get:

$\frac{(-2)(-8)}{3}=\frac{16}{3}$

You can notice that the numerator and the denominator of the fraction obtained cannot be divided by the same number; therefore, the fraction cannot be simplified.

3 0

2 years ago

A contractor is building a fenced-in area at a daycare. The area will be rectangular with the length of its base equal to half t

AlladinOne [14]

Answer:

The length of fencing will be $300\ ft$

Step-by-step explanation:

Step 1

Find the dimensions of the rectangle

we know that

The area of a rectangle is equal to

$A=bh$

In this problem we have

$A=5,000\ ft^{2}$

so

$5,000=bh$ -----> equation A

$b=\frac{h}{2}$ -----> equation B

Substitute equation B in equation A

$5,000=(\frac{h}{2})h$

$10,000=h^{2}$

square root both sides

$h=100\ ft$

Find the value of b

$b=\frac{h}{2}$ -----> $b=\frac{100}{2}=50\ ft$

step 2

Find the length of fencing

The perimeter of a rectangle is equal to

$P=2(b+h)$

we have

$h=100\ ft$

$b=50\ ft$

substitute

$P=2(50+100)=300\ ft$

6 0

3 years ago

Emily sells bracelets for $12 each. She wants to discount them so that they only cost $9. What percent will she need to discount

Sliva [168]

100/12*9=75 thus 25% less

5 0

2 years ago

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