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3 years ago

The graph of y = srtqx is translated. The translation is defined by (x + 1, y – 2). Which is the graph of the translated image?

Mathematics

2 answers:

AlexFokin [52]3 years ago

8 0

Answer with explanation:

The graph of Original function is:

$y=\sqrt{x}$

The function is translated by the rule (x+1, y-2).

After translation Point (a,b) is obtained.

a=x+1

,→x=a-1

b=y-2

→y=b+2

Substituting the value of x and y in the above function and obtaining the graph of the translated image

$\rightarrow b+2=\sqrt{a-1}\\\\\text{Replacing a and b by x and y}\\\\\rightarrow y+2=\sqrt{x-1}$

Black_prince [1.1K]3 years ago

7 0

Look at the original graph, shift it 1 unit to the left, 2 units down, you'll have the new graph.

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A theater has a seating capacity of 750 and charges $5 for children, $7 for students, and $9 for adults. at a certain screening

Svet_ta [14]

<span>To do this, we have to setup equations and then use substitution to get like terms. c=children, s=students, a=adults For total cost: 5350 = 5c + 7s + 9a Total capacity: 750 = c + s + a Data given: (.5)(c + s) = a Now, rearranging the data given equation for (c+s) gives us (c+s)= 2a. Using this and substituting into the total capacity equation for (c+s) will allow us to find a: 750 = 2a + a = 3a which gives us a = 750/3 = 250. Next, we set a = 250 in total cost and data given equation to get the following: Total Cost: 5350 = 5c + 7s + 2250 which gives 3100 = 5c + 7s Total Capacity: 750 = c + s + 250 which gives 500 = c + s Rearranging total capacity to solve for s: s = 500 - c Plugging that expression for s into total cost gives us: 3100 = 5c + 7(500-c) = 5c - 7c + 3500. Solving for c gives us 400 = 2c . Total number of children is c = 200. Total number of students is s = 750 - 200 - 250 = 300.</span>

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3 years ago

Need help on math idk how to do this it says 118/13 = 59/z then wants me to give it an answer ik the answer 6.5 but how?

Hatshy [7]

Answer: 6.5

<u>Step-by-step explanation:</u>

$\frac{118}{13} = \frac{59}{z}$

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3 years ago

If $450 is invested at 6% compounded A (annually), B (quarterly), C (monthly), what is the amount after 7 years? How much intere

ss7ja [257]

Answer:

Step-by-step explanation:

Here's the gameplan for this. First of all we need a general formula, then we will define the variables for each.

The general formula for all of these is the same:

$A(t)=P(1+\frac{r}{n})^{nt}$

where A(t) is the amount after the compounding, P is the initial investment, n is the number of compoundings per year, r is the interest rate in decimal form, and t is time in years.

Then after we find the amount after the compounding, we will subtract the initial amount from that, because the amount at the end of the compounding is greater than the initial amount. It's greater because it represents the initial amount PLUS the interest earned. The difference between the initial amount and the amount at the end is the interest earned.

For A:

A(t) = ?

P = 450

n = 1

r = .06

t = 7

$A(t)=450(1+\frac{.06}{1})^{(1)(7)}$

Simplifying gives us

$A(t)=450(1.06)^7$

Raise 1.06 to the 7th power and then multiply in the 450 to get that

A(t) = 676.63 and

I = 676.63 - 450

I = 226.63

For B:

A(t) = ?

P = 450

n = 4 (there are 4 quarters in a year)

r = .06

t = 7

$A(t)=450(1+\frac{.06}{4})^{(4)(7)}$

Simplifying inside the parenthesis and multiplying the exponents together gives us

$A(t)=450(1.015)^{28}$

Raising 1.015 to the 28th power and then multiplying in the 450 gives us that

A(t) = 682.45

I = 682.45 - 450

I = 232.75

For C:

A(t) = ?

P = 450

n = 12 (there are 12 months in a year)

r = .06

t = 7

$A(t)=450(1+\frac{.06}{12})^{(12)(7)}$

Simplifying the parenthesis and the exponents:

$A(t)=450(1+.005)^{84}$

Adding inside the parenthesis and raising to the 84th power and multiplying in 450 gives you that

A(t) = 684.17

I = 684.17 - 450

I = 234.17

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GuDViN [60]

Answer: (-infty, infty)

Step-by-step explanation:

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faltersainse [42]

We are given that

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