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3 years ago

Given the equation 6/x=3/k+2, and the constraints x ≠ 0 and k ≠-2, what is x in terms of k?

Mathematics

1 answer:

Veronika [31]3 years ago

7 0

Answer:

A) 2k+4

Step-by-step explanation:

To solve for terms of x, we need to. she sure that x is on its own side while every other term is on the other side.

To start, we will cross multiply. If we have a/b=c/d, then ad=bc

We can perform the same calculation here,

6/x=3/(k+2)

6(k+2)=3x

Divide both sides by 3

2(k+2)=x

x=2k+4

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Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=(x+8)^2−1

BartSMP [9]

Answer:

zeroes: x = -9 and x = -7

Step-by-step explanation:

f(x)=(x+8)^2−1

A "zero" refers to when the y-value on the graph is zero.

0 = (x+8)^2 - 1

1 = (x+8)^2

+ or - 1 = x+8

so break them apart into two equations

x+8 = 1 OR x+8 = -1

x = -7 OR x = -9

You can plug both back in to check that the equation works!

4 0

3 years ago

Two investments totaling $21,000 produce an annual income of $870. One investment yields 4% per year, while the other yields 10%

Citrus2011 [14]

Answer:

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

Step-by-step explanation:

Let

x -----> the amount invested at 4%

(21,000 -x) ----> the amount invested at 10%

we know that

The interest of the amount invested at 4% plus the interest of the amount invested at 10% must be equal to $870

$4\%=4/100=0.04$

$10\%=10/100=0.10$

$0.04(x)+0.10(21,000-x)=870$

Solve for x

$0.04x+2,100-0.10x=870$

$0.10x-0.04x=2,100-870$

$0.06x=1,230$

$x=\$20,500$

$21,000-x=\$500$

therefore

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

7 0

2 years ago

Please help it’s due in 10 minutes!!!

Virty [35]

Answer:

Step-by-step explanation:

its B

just chuck it in wolfram alpha

3 0

2 years ago

Brandon rode his bike 90% of the distance that Carlee rode her bike this week. Brandon rode 58.5 miles. How many miles did Carle

kramer

Carlee rode 52.65 miles this week.

8 0

3 years ago

What is the value of the expression below when x = 3?<br> 10x2 – 7x + 10

QveST [7]

Answer:

Step-by-step explanation:

To find the value of $10x^2 – 7x + 10$ , when x = 3, simply plug in the value of x in the expression and solve as follows:

$10(3)^2 – 7(3) + 10$

$10(9) – 21 + 10$

$90 – 21 + 10$

$79$

The value of $10x^2 – 7x + 10$ , when x = 3, is 79

5 0

2 years ago