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torisob [31]
3 years ago
10

X2 + 16x – 2 = 11

Mathematics
1 answer:
lord [1]3 years ago
6 0

Answer:

(x+8)^2=77    and   x=negative 8±√77

Step-by-step explanation:

After watching a video, I got it right on Khan

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Carlos' hourly wage increased by 30% this year. If his previous salary was $20 an hour, what is his new hourly wage?
Strike441 [17]

Answer:

$26.

Step-by-step explanation:

His original salary was $20. It increased by 20%. In other words, the total salary he earns is now:

20+20(.3)=20(1.3)=26

His new salary is $26.

Note: For the second step, I used the distributive property.

20(1)+20(.3)=20(1+.3)=20(1.3)

6 0
4 years ago
Read 2 more answers
A funnel used in a manufacturing plant is 4 feet tall. The radius of the base is 6 feet
jolli1 [7]
B because that’s how system works
4 0
3 years ago
For a fundraiser, Marcus needs to raise $600 in order to meet his goal. Marcus will walk a certain number of miles, and he will
aliya0001 [1]

-32

Step-by-step explanation:

Step 1:

The  rate of change over an interval is got by finding the change in g(x),  the change in x and dividing it.

Step 2:

Given, x denotes the number of miles walked by Marcus for the fund raiser

g(x) denotes the amount of money he has left to raise after x miles of walking

g(x) for the interval [6,10] is 408,280

Change in x  = 10-6 = 4

Change in g(x) = 280-408 = - 128

Rate of change = -128/4 = -32

Hence the average change in rate over the given interval is -32

8 0
3 years ago
Carlos predicts that his math homework will take him 60 out of the total 75 minutes that he has available for tonight.
Murrr4er [49]
1. He would spend an hour (60/100) 

2. 20%
6 0
4 years ago
Read 2 more answers
Find the values of a and b such that <br><br> x^2 + 2x - 7 = (x+a)^2 + b
hichkok12 [17]

Answer:

The values of a and b are 1 and -8

Step-by-step explanation:

Let us solve the question by comparing the two sides.

∵ x² + 2x - 7 = (x + a)² + b

→ Let us solve the bracket on the right side

∵ (x + a)² = (x)(x) + 2(x)(a) + (a)(a)

∴ (x + a)² = x² + 2ax + a²

→ Substitute it in the right side above

∴ x² + 2x - 7 = x² + 2ax + a² + b

→ Compare the like terms on both sides (terms of x², terms of x

   and numerical terms)

∵ The terms of x are 2x and 2ax

→ Equate them

∵ 2x = 2ax

→ Divide both sides by 2x

∴ \frac{2x}{2x} = \frac{2ax}{2x}

∴ 1 = a

∴ The value of a = 1

∵ The numerical terms are -7 and a² + b

→ Equate them

∵ -7 = a² + b

→ Substitute a by 1

∴ -7 = (1)² + b

∴ -7 = 1 + b

→ Subtract 1 from both sides

∵ -7 - 1 = 1 - 1 + b

∴ -8 = b

∴ The value of b = -8

∴ The values of a and b are 1 and -8

7 0
3 years ago
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