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Serggg [28]
2 years ago
8

Jennifer bought 3 yards of fabric and a spool of thread for $28.10.

Mathematics
1 answer:
Darina [25.2K]2 years ago
4 0
The fabric costs $8.95 per yard.
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What is the inverse of this function?
Andreas93 [3]

Step-by-step explanation:

f(x) = y = -1/2 × sqrt(x + 3), x >= -3

-2y = sqrt(x + 3)

4y² = x + 3

x = 4y² - 3

and now we need to rename x to y and y to x to make it a "normal" function :

y = 4x² - 3

since in the original function x >= -3, this gave us y <=0.

and therefore (remember the x of the inverse function actually stands for the y of the original function) the limit for the inverse function is x <= 0.

so, again, the full answer is

f^-1(x) = 4x² - 3, x <= 0

8 0
1 year ago
What is the solution of StartFraction negative 8 Over 2 y minus 8 EndFraction = StartFraction 5 Over y + 4 EndFraction minus Sta
antiseptic1488 [7]

Answer:

  y = 6

Step-by-step explanation:

  \dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16} \quad\text{given}\\\\\dfrac{-4(y+4)}{y^2-16}=\dfrac{5(y-4)}{y^2-16}-\dfrac{7y+8}{y^2-16} \quad\text{use common denominator}\\\\-4y-16=5y-20-7y-8 \quad\text{multiply by that denominator}\\\\12=2y \quad\text{add 4y+28}\\\\6=y \quad\text{divide by 2}

6 0
3 years ago
Read 2 more answers
Mrs. Gomez paid $780 for a new backyard fence. A new gate cost an additional $225. The fencing was a total of 120 feet. What was
Andrews [41]

I would do it this way

$780+$225=$1005

$1005/120ft= $8.375

if you have to round up $8.38 per foot

6 0
3 years ago
S'il vous plaît aider moi pour ce problème c'est pour demain. Merci.
Vedmedyk [2.9K]
Je ne parle le Français très bonne, mais je te vais aider. Le total est 40kg et la valise pèse 20kg donc 40-20=20. La réponse est 20kg.
3 0
3 years ago
Here this is for CHELSEA
erastova [34]

Answer:

thx

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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