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aksik [14]
2 years ago
15

The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the

output for the initial value? Gas in Marco’s Car Seconds Spent Pumping Gas 0 12 24 36 48 Gallons of Gas in Car 3 5 7 9 11 0 gallons 2 gallons 3 gallons 6 gallons
Mathematics
2 answers:
kakasveta [241]2 years ago
6 0

Answer:

3 GALLONS

Step-by-step explanation:

SUB TO MY YT CLIZEY

german2 years ago
5 0

Answer:

3 gallons

Step-by-step explanation:

Given

Seconds Spent ----- Gallons of Gas

0 ---------------------------- 3

12 -------------------------- 5

24 ------------------------- 7

36 ------------------------- 9

48 ------------------------ 11

Required

Determine the output of the initial value

From the given parameters, we have that:

Gallon of gas is a function of time spent

This means:

The input is the time spent while the output is the gallon of gas

From the table above,

Initial Value = 0 seconds

The corresponding output of this is 3 gallons

Hence;

<em>Option C answers the question.</em>

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The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.
vova2212 [387]

Answer: the coomon factor that is missing from both sets of parentheses is 2x + 7.


Explanation:


These are the steps to factor the polynomial with the reasons that justify them:


Step                                                   Reason

1. 10x³ + 35x² - 4x - 14                       Given

2. (10x³ + 35x²) - (4x + 14)                 Group the terms

3. 5x² (2x + 7) - 2 (2x + 7)                Common factor 5x² and 2


After this, you extract common factor 2x + 7 and have the complete factored polynomial: (2x + 7) (5x² - 2).

7 0
2 years ago
Read 2 more answers
The price of a recipe-book was reduced from $24.50 to$17.95. If p represents the percent decrease in price of the book, which pr
LuckyWell [14K]

Answer:

The required proportion is \frac{p}{100}=\frac{24.50-17.95}{24.50}.

Step-by-step explanation:

Consider the provided information.

The price of a recipe-book was reduced from $24.50 to$17.95.

The original price is 24.50

Reduced price is 17.95.

Let p represents the percent decrease in price of the book.

\text{Percent decrease}=\frac{\text{Original price-Reduced price}}{\text{Original price}}\times 100

Now substitute the respective values in the above formula.

p=\frac{24.50-17.95}{24.50}\times 100

\frac{p}{100}=\frac{24.50-17.95}{24.50}

Hence, the required proportion is \frac{p}{100}=\frac{24.50-17.95}{24.50}.

4 0
2 years ago
Sally's parents deposited $15,000 into a college savings account on her third birthday. The account had an interest rate of 9.6%
77julia77 [94]

Answer:

their hopes will come true

Step-by-step explanation:

Using the formula for calculating amount expressed as;

A = P(1+r)^t

Given

P = $15000

r = 9.6% = 0.096

t = 15years (18-3)

Substitute;

A = 15,000(1+0.096)^15

A = 15,000(1.096)^15

A = 15000(3.9551)

A = 59,326.6

As we can see, the money is even more than twice the original amount, this shows that their hopes will come true

6 0
2 years ago
A population mean of 360, a standard deviation of 4, and a margin of error of 2.5%
Ad libitum [116K]

Answer:

(351.04, 368.96)

Step-by-step explanation:

Given that population mean= 360

Std devitaion = 4

margin of error = 2.5%= 0.025

Since population std deviation is known we can use Z critical value

For two tailed critical value for 2.5% would be

2.24

Margin of error = ±Critical value*std deviation

= ±2.24(4)

= ±8.96

Confidence interval =(Mean - margin of error, mean + margin of error)

=(360-8.96, 360+8,.96)\\= (351.04, 368.96)

3 0
2 years ago
Lim x tends to 0 sinax/tanbx
Kipish [7]
Express tan in terms of sin and cos 

=  sin ax cos bx  / sin bx

Now I'm stuck!  sorry

For what its worth Ive drawn the graph and the answer is a/b
8 0
2 years ago
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