A group of friends about two large pizzas at 8 only part each Pizza how many pieces that they eat

Given the quadratic equation: f(x) = x2+4x-21

ryzh [129]

Answer:

x = - 7, x = 3

Step-by-step explanation:

To find the x- intercepts let f(x) = 0 , that is

x² + 4x - 21 = 0

Consider the factors of - 21 which sum to give the coefficient of the x- term (+ 4)

The factors are + 7 and - 3, since

7 × - 3 = - 21 and 7 - 3 = + 4, then

x² + 4x - 21 = 0

(x + 7)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 3 = 0 ⇒ x = 3

6 0

3 years ago

1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid

My name is Ann [436]

9514 1404 393

Answer:

a) V = 4w²h

b) SA = 4w² +10wh

c) SA = 4w² +37.5/w

d) C = 40w² +225/w

Step-by-step explanation:

The relevant formulas are ...

V = LWH

base area = LW

lateral area = H(2(L+W))

__

a) The length is 4 times the width, so the volume is ...

V = (4w)(w)(h)

V = 4w²h

__

b) The total surface area is the sum of the base area and the lateral area:

SA = base area + lateral area

SA = (4w)(w) + 2h(4w +w)

SA = 4w² +10wh

__

c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...

15 = 4w²h

h = 15/(4w²)

Then the surface area is ...

SA = 4w² +10w(15/(4w²))

SA = 4w² +37.5/w

__

d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:

C = 10(4w²) +6(37.5/w)

C = 40w² +225/w

4 0

3 years ago

Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

dalvyx [7]

Answer:

Step-by-step explanation:

your equation shown above is set up incorrectly in order to solve this i need the right equation you must plug in each number to q to find the right solution

4 0

3 years ago

Read 2 more answers

3(x-2)+2(x+1)=-14<br> plz show work

Rom4ik [11]

Hello!

First, let's write the problem.
$3\left(x-2\right)+2\left(x+1\right)=-14$
Apply the distributive property on the left side of the equation.
$=3x-6+2x+2$
Add like terms.
$=5x-4$
Let's plug that in into the original equation.
$5x-4=-14$
Add 4 to both sides.
$5x-4+4=-14+4$
$5x=-10$
Divide both sides by 5.
$\frac{5x}{5}=\frac{-10}{5}$

Our final answer would be,
$x=-2$

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

5 0

3 years ago

Read 2 more answers

Can someone solve this question to me.i will mark brainliest. :)

Alex787 [66]

Answer: