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Ghella [55]
3 years ago
9

What is the inverse of f(x)=x^2+5

Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

Answer:

\sqrt{X-5}, -\sqrt{X-5}

Step-by-step explanation:

Replace X with Y

solve for Y; X = Y^2 + 5

subtract 5 from both sides

X - 5 = Y^2

take the square root

Y = plus or minus sqrt(X-5)

sqrt(X-5); -sqrt(X-5)

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The shirt cost $113 less than the coat. The shirt cost $50. How much is the coat?
olga nikolaevna [1]
Shirt: $50
Coat: $113

$50+ $113= $163

The coat costs $163, hope this helps!
7 0
3 years ago
In triangle QRS, QR = 8 and RS = 5. Which expresses all possible length of side QS?
VLD [36.1K]
Obviously it's answer D) Why?

a) any side of a triangle is SMALLER than the SUM of the 2 others

b) any side of a triangle is GREATER than the DIFFERENCE of the 2 others

Hence D) 8-5 < QS < 8+5==>3 < QS < 13
8 0
3 years ago
Read 2 more answers
Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how man
ryzh [129]

Answer

so there are 7 singing acts and 5 comedy acts.

Step-by-step explanation:

Let x= number of singing acts.

Let y= number of comedy acts.

We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

We solve x+y=12

Y=-x+12

We know y=-x+12, so we will substitute that for the y in the second equation.

1. Substitute 5x+3(-x+12)=50

2. Distribute 5x-3x+36=50

3. Solve 2x+36=50

2x=14

X=7

Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

5(7)+3y=50

35+3y=50

3y=15

Y=5

6 0
3 years ago
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but
Ket [755]

Answer:

George doesn't have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs

Step-by-step explanation:

From the above question:

George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.

Look at the numerical expression George used: 15 −( 9 + 2.65 + 1.35 + 2(1.74) )

Use the order of operations to simplify this expression.

Using the order of operations we have:

=$ 15 - (9 + 2.65 + 1.35 + 2(1.74) )

= $15 -( 9 + 2.65 + 1.35 + 3.48 )

=$ 15 - (16.48)

= $-1.48

George doesn't have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs

6 0
3 years ago
Read 2 more answers
Can you explain how to do this correctly?
iVinArrow [24]
8/x-7=7/2
16=7(x-7) cross multiply
16=7x-49
-7x=-49-16
-7x=-65 divides each side by -7
-7x/7=-65/7
X=65/7
Alternative form
X=92/7
Which is 1st options in your questions.

Hope this helps!
7 0
3 years ago
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