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Grace [21]
3 years ago
12

Write the following equation in standard form: y + 4 = -3(x + 2)

Mathematics
1 answer:
Irina18 [472]3 years ago
5 0

Answer:

-3x-y=10

Step-by-step explanation:

y+4=-3(x+2)

y+4=-3x-6

y=-3x-6-4

y=-3x-10

-3x-y=10

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Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 8 feet
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Please check the attached file for the diagram of Sally's yard.

Let w be the width of the yard.

Let l be the length.

We are given that the length of the yard is 8 feet more than 4 times the width. Let us convert this into a mathematical equation.

4 times the width will be 4w. Now, 8 feet, or 8 more than 4 times the width will be 4w+8. We know that this is the value of the length of the yard and thus we can write this as:

l=4w+8

As we can see we have found the relationship between the length, l and the width, w of the yard.

We have been told that the total length of the fence required for the yard is 106 feet. This obviously means that the perimeter of the rectangular yard is 106 feet.

Now, we know that the perimeter of a rectangle is given by:

Perimeter=2(l+w)=2((4w+8)+w) this is because we know that the length, l is given by l=4w+8.

Continuing further we get:

106=8w+16+2w=10w+16 This is because Perimeter=length of the fence=106 (given)

Therefore, 10w=90

or, w=9 so, we just now found the width of the yard which is 9 feet. We are required to find the length. We can easily find the length using the relationship between w and l which is:

l=4w+8 giving us:

l=4\times9+8=44

Thus the length of the fence is 44 feet.

5 0
3 years ago
the total cost (c) in dollars of renting a car for n days is given by the inequality c >125 +50n. what is the maximum number
Paraphin [41]
H. 6 days
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The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they
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The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.

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h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\
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The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.

The maximum profit the company can make is $640,000.
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3 years ago
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The answer is c 10% of 89 is 8.9 so multiply by 3 you get 26.70

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