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2 years ago

Algebra help! 100 Points!!!!!!1 Will give brainliest No SPAM

Mathematics

1 answer:

Margarita [4]2 years ago

6 0

Solve the third equation for z in terms of x :

2x + 2z = 4

x + z = 2

z = 2 - x

Substitute this into the other two equations and simplify, then solve for x and y :

-x - y - z = -8

x + y + z = 8

x + y + (2 - x) = 8

y + 2 = 8

y = 6

-4x + 4y + 5z = 7

-4x + 4•6 + 5 (2 - x) = 7

-4x + 24 + 10 - 5x = 7

-9x + 34 = 7

-9x = -27

x = 3

Solve for z :

z = 2 - 3

z = -1

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Let f(x) = x2 − 16. Find f−1(x)

Yanka [14]

Answer:

$f^{-1}(x)=\pm\sqrt{x+16}$

Step-by-step explanation:

$f(x)=x^2-16$

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

$y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}$

Now, you can swap the variables again and write the function.

$f^{-1}(x)=\pm\sqrt{x+16}$

3 0

3 years ago

Use the given information to determine the exact trigonometric value.

iren [92.7K]

its C

Step-by-step explanation:

- 2\sqrt5

this is the tan©

but you have to multiply by sqrt 5

so its become -2sqrt5/5

7 0

3 years ago

A rectangular painting measures 15 inches by 18 inches and contains a frame of uniform width around the four edges. The perimete

vfiekz [6]

Answer:

3 inches

Step-by-step explanation:

Lenght = 18 inches

Width =15 inches

Perimeter of the rectangular painting and frame = 90 inches

Let X be the width of the frame

The width of the framed picture = 15 + 2x

The length of the framed picture = 18 + 2x

Perimeter = 2 (L + W)

90 = 2(15 + 2x + 18+ 2x)

90 = 2(33 + 4x)

90 = 66 + 8x

8x = 90 - 66

8x = 24

x = 24/8

x = 3 inches

the width of the frame is 3 inches

5 0

3 years ago

On May 17th Jane took out a loan for $33,000 at 6% to open her law practice office the loan will mature the following year on Ja

frosja888 [35]

Answer:

$ 31050

Step-by-step explanation:

Step 1 : Write the formula for calculating simple interest.

Simple Interest = P x R x T

100

P: Principal Amount-The loan taken (30,000)

R: Interest rate at which the loan is give (6)

T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)

Step 2: Substitute values in the formula

Simple Interest = 30,000 x 6 x 7/12

100

Simple Interest = $1050

Step 3: Calculate the amount due at maturity

At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.

Amount at maturity = Principal Amount + Simple Interet

Amount at maturity = 30,000 + 1050

Amount at maturity = $31050

4 0

3 years ago

What is the answer to -10(x+4)+42=-19-19

BartSMP [9]

Answer:

x=4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers