What ordered pair is the vertex of y=|x+5|-1

Answers

Answer 1

Answer: $y=|x+5|-1\n\nvertex\ in\ point\ where\ |x+5|=0\n\nx+5=0\n\nx=-5\to y=-1\n\nAnswer:vetrex(-5;-1)$

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The equation of a hyperbola is shown. (x-3)^2/81-y^2/144=1
What are the coordinate of the center of the hyperbola?
A.) (3,0)
B.) (0,-30)
C.) (0,3)
D.) (-3,0)

Answers

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in our problem h=3, k= 0
so center is (3,0)

Solve log(2x+3) = 3

Answers

log_a x=z ⇔ a^z=x

In this case:
log (2x+3)=3 ⇔ 10³=2x+3

we have the following equation:
10³=2x+3
1000=2x+3
2x=1000-3
2x=997
x=997/2
x=498.5

Answer: x=498.5

Answer:

997/2

Step-by-step explanation:

Use the graph of y=e^x to evaluate the expression e^1.5. Round the solurion to the nearest tenth if necessary.

Answers

Answer:

$e^(1.5)=4.482$

Step-by-step explanation:

Given: $f(x)=e^x$

We need to find the value of function at x=1.5

Put x=1.5 into f(x)

$f(1.5)=e^(1.5)$

$f(1.5)=4.482$

Now we will verify the result using graph.

First we draw the graph of f(x) and a vertical line x=1.5

Please see the attachment for graph.

Hence, The value of $e^(1.5)=4.482$

According to my graphing calculator, e^1.5=4.5 which is rounded to the nearest tenth.

4. The admission fee at a play is $2.50 for each child and $4.00 for each adult. On opening night, the 1000 seat auditorium was sold out! When all the money was counted, they had $3400. How many adults attended the opening night's show? A.100

B.400

C.500

D.600

Answers

600 adults and 400 children attended the opening night's show

Let x represent the number of children and y represent the number of adult.

Since 1000 seat auditorium was sold out!, hence:

x + y = 1000 (1)

they had $3400. Hence:

2.5x + 4y = 3400 (2)

Solving equations 1 and 2 simultaneously gives:

x = 400, y = 600

600 adults and 400 children attended the opening night's show.

Find out more on equation at: brainly.com/question/2972832

Answer is D. 600 adults

Ray is purchasing a laptop that is on sale for 25% off. He knows the function that represents the sale price of his laptop is c(p) = 0.75p, where p is the original price of the laptop. He also knows he has to pay 8% sale's tax on the laptop. The price of the laptop with tax is f(c) = 1.08c, where c is the sale price of the laptop.Determine the composite function that can be used to calculate the final price of Ray's laptop by solving for f[c(p)].

f[c(p)] = 1.83p
f[c(p)] = 1.83cp
f[c(p)] = 0.81p
f[c(p)] = 0.81cp

Answers

Answer: $f[c(p)]=0.81p$

Step-by-step explanation:

Given: Ray is purchasing a laptop that is on sale for 25% off.

The function that represents the sale price of his laptop :

$c(p) = 0.75p$ , where p is the original price of the laptop.

The price function of the laptop with tax :

$f(c) = 1.08c$ , where c is the sale price of the laptop.

Now, consider the composite function that can be used to calculate the final price of Ray's laptop .

$\text{ i.e. }f[c(p)]=f[0.75p]\n\n\Rightarrow f[c(p)]=1.08(0.75p)\n\n\Rightarrow f[c(p)]=0.81p$

c(p) = 0.75p where p is the original price of the laptop
f(c) = 1.08c where c is the sales price of the laptop

the composite function is:

f(c(p)) = 1.08(0.75p)
f(c(p)) = 0.81p

For every ton of paper that is recycled, 17 trees are saved. Discrete or continuous?

Answers

Continuous I think :/ I am pretty sure like 93% sure

I believe it is continuous, so yeah, that guy is right

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