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djyliett [7]
3 years ago
6

Evaluate -2x + -3y if x = 10 and y = -6

Mathematics
1 answer:
emmasim [6.3K]3 years ago
5 0
-2(10)+-3(-6)

It would be -2
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David wants to build a rectangular fencing with the 5 identical parts for his animals. He has 780 feet of fencing to make it. Wh
Vladimir79 [104]

Answer:

65 ft by 39 ft

Step-by-step explanation:

Let x ft be the length of each part and y ft be the width of each part. The total perimeter of all 5 parts is

6x+10y=780

The length of the large rectangle is 5y ft and the width of the large rectangle is x, so the total area is

A=x\cdot 5y

From the first equation,

y=78-0.6x

Substitute it into the area expression:

A(x)=x\cdot 5(78-0.6x)=390x-3x^2

Find the derivative:

A'(x)=390-3\cdot 2x=390-6x

Equate it to 0:

390-6x=0\\ \\6x=390\\ \\x=65

Then

y=78-0.6\cdot 65=78-39=39

5 0
3 years ago
What is the rate of return on a $12,500 bond purchased at $10,750 with a 15% coupon?
Firdavs [7]
With the 15% coupon, you will get $1,875. (Because 15% of the bond's price $12,500 is $1,875.) Solution: 0.15 x 12500 = 1875

So $1,875 is to be divided by the actual price of the bond which is $10,750. (1, 875 ÷<span>  10,750 = 0.1744 convert this to percent to get the rate of return)
 0.1744 = 17.44 %

The rate of return is 17.44%.</span>
4 0
3 years ago
Solve for w -w+160=259
stich3 [128]
W=99 that’s the answer
3 0
3 years ago
Bob buys 20 watermelons... <br> He eats 10. If x=x, what is the square root of 49?
vichka [17]
I know that the square root of 49 = 7 since 7 x 7 = 49. But the negative square root of 49 is -7.
8 0
4 years ago
Read 2 more answers
Given the function g(x) = –11 + 12x + x over 3, evaluate g(4).
Paraphin [41]

g(−3)=2

g(0) = 3g(0)=3

Step-by-step explanation:

Given

The attached graph

Required

Determine

g(-3)g(−3)

g(x) = 3g(x)=3

Since a graph has been provided, the question will be solved graphically;

Solving g(-3)

This implies that;

x = -3

And the interpretation is to solve for the y value when x = -3

From the attached graph;

When x = -3; y = 2

Hence;

g(-3) = 2g(−3)=2

Solving g(x) = 3

This implies that;

y = 3

And the interpretation is to solve for the x value when y = 3

From the attached graph;

When y = 3; x = 0

7 0
3 years ago
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