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valentinak56 [21]
2 years ago
15

Find the range of the following equation for the domain {-4, 0, 3} f (x) = -2x^2 -3

Mathematics
1 answer:
Tamiku [17]2 years ago
7 0

The range of the function is {-34, -2, -20}

<h3>How to determine the range?</h3>

The function is given as:

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

The domain is {-4, 0, 3}

Substitute the domain values in the function.

f(-4) = -2(-4)^2 - 2 = -34

f(0) = -2(0)^2 - 2 = -2

f(3) = -2(3)^2 - 2 = -20

This means that the range of the function is {-34, -2, -20}

Read more about range at:

brainly.com/question/10197594

#SPJ1

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Vedmedyk [2.9K]

Answer:

33 = x + (3x + 1)

x = bath bombs

So 3x is three times as many bath bombs, then the plus one makes it so that the soaps sold is more than three times the amount of bath bombs sold

8 0
2 years ago
A fossilized leaf contains 18% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as
Sati [7]

Answer: The age of the fossilized leaf is 13829 years.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant = 100

a - x = amount left after decay process = \frac{18}{100}\times 100=18  

a) for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

t_{\frac{1}{2}}=\frac{0.693}{k}

k=\frac{0.693}{5600years}=0.00012years^{-1}

b) for finding the age

t=\frac{2.303}{0.00012}\log\frac{100}{18}  

t=13829years

The age of the fossilized leaf is 13829 years.

7 0
3 years ago
Kendra needs 1 dollar to buy a ball she has 73 cents what coins does she need to add her 73 cents
Alexeev081 [22]

Answer:

Kendra needs 3 coins (1 coin of 25 cent & 2 coins of 1 cent)  to add 27 cents in 73 cents to make 1 dollar

Step-by-step explanation:

Given :

Kendra has 73 cents

She need 1 dollar to by a ball

∴ She requires additional money = 1\ dollar - 73 \ cents = 27 \ cents

Standard Coins available are 50 cents , 25 cents, 10 cents, 5 cents and 1 cent.

To make 27 cents =  25+1+1 = 1 coin of 25 cent & 2 coins of 1 cent

5 0
3 years ago
NEED THE ANSWER ASAP, PLEASE HELP!! What are the coordinates of the focus of the parabola?
qwelly [4]

Answer:

Vertex is (-8, 4)  not one of the answers offered!

Step-by-step explanation:

Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.

y=-\frac{1}{8}(x^2 + 16x + \text{-----})-4

Complete the square by squaring half the coefficient of <em>x </em>and adding it in the space.

(\frac{16}{2})^2=64

Add 64 in the space you made, then compensate for that at the end of the expression by <u>subtracting</u>  -\frac{1}{8}(64)=-8

y=-\frac{1}{8}(x^2+16x+64)-4+8\\y=-\frac{1}{8}(x+8)^2+4

The x-coordinate of the vertex is the <u>opposite</u> of +8, the number inside the parentheses.  The y-coordinate of the vertex is the number at the end of the expression.

V(-8, 4)

8 0
3 years ago
Explain how u can use straight angles to find m tpv
Leviafan [203]

Answer:

A straight angle changes the direction you are pointing in. A straight angle looks like a straight line. It has an angle measurement of 180 degrees. Straight angles can be composed of several angles, as long as the angles add up to 180 degrees.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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