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user100 [1]
2 years ago
12

Use the Distributive Property to expand (−2x−7)4

Mathematics
1 answer:
Westkost [7]2 years ago
5 0

Answer:

Step-by-step explanation:

4(-2x - 7)

4*-2x -8x

4*-7 = -28

-8x - 28

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Rearrange the equation 5x-3y+9=0 from standard form to slope/y-intercept form.
lions [1.4K]
Y=Mx+B -> slope intercept form

The answer would be -3y=-5x-9
Divide the -3 on both sides and you get
y=5/3x+3
8 0
3 years ago
A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
anastassius [24]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

It is clear that h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

4 0
3 years ago
You are the CEO of a big company. You are paid an annual salary, plus a bonus of the company's profits over $5,000,000,000. Cons
ArbitrLikvidat [17]

Answer:

(g ⚬ f)(x)

Step-by-step explanation:

(g ⚬ f)(x)

6 0
3 years ago
Tobias made a fruit salad with a blueberry to raspberry ratio of 8:6. Tobias' container of blueberries contains 72 blueberries.
ipn [44]

Answer:

54.

Step-by-step explanation:

8/6 = 72/ x where x is the number of raspberries.

8x = 6*72

8x = 432

x = 54.

7 0
2 years ago
Please help! its due today!!
nekit [7.7K]

Answer:

14

Step-by-step explanation:

a=1

b=2

d=2

c=10

K+L = 10¹+2² = 10+4 = 14

3 0
2 years ago
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