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oksano4ka [1.4K]
2 years ago
13

F (x) = -4x² + 10x + 13

Mathematics
1 answer:
Alexus [3.1K]2 years ago
3 0

Answer:

f(7) = -113

Step-by-step explanation:

Hello!

Substitute 7 for x in the equation.

<h3>Evaluate</h3>
  • f(x) = -4x² + 10x + 13
  • f(7) = -4(7)² + 10(7) + 13
  • f(7) = -4(49) + 70 + 13
  • f(7) = -196 + 70 + 13
  • f(7) = -113

f(7) is -113.

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the Millers drove 105 miles on 4 gallons of gas. at this rate, how many miles can they drive on 6 gallons of gas.
Alinara [238K]

Answer:

157.5 miles with 6 gallons

Step-by-step explanation:

105miles / 4gallons = 26.25miles per gallon

26.25miles per gallon * 6miles = 157.5 miles

5 0
3 years ago
Read 2 more answers
Help me find my answer
Sergeu [11.5K]

Step-by-step explanation:

3 cookies= 240 cal

∴ 1 cookie= 240÷3 cal

∴ 5 cookies= (240÷3) × 5

⇒ 240÷3= 80

⇒ 80 × 5= 400

[ans] 400 cal

4 0
3 years ago
Is it reasonable if so or if not tell me the equation
lianna [129]
His answer is not reasonable because 5/8>4/3
8 0
3 years ago
4. A yellow cab Taxi charges $5.00 flat rate in addition of $0.65 per mile. Jan has no more than $20 to spend on a ride.
gogolik [260]

Answer:

5+0.65x\le 20

Step-by-step explanation:

Let x be the number of miles Jan can drive in a taxi.

The cost of this ride consists of

  • $5.00 flat rate
  • $.065 per mile

So, per x miles Jan will pay $0.65x and the total cost of the ride will be

$5.00+$0.65x

Jan has no more than $20 to spend on a ride, then the total cost of his ride must be less or equal to $20. Mathematically, you can write this as

5+0.65x\le 20

6 0
3 years ago
Altred is saving up money for a down payment on a house. He currently has $4739, but knows he can get a loan at a lower interest
Stella [2.4K]

Given the word problem, we can deduce the following information:

Principal amount = $4739

Future amount = $5336

Interest = 5.1 % =0.051

To determine the time to accumulate the $5336, we use the compound interest formula:

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

A=Future amount=$5336

P=Present amount=$4739

r=interest rate = 0.051

n=number of compounding periods =12

t=time in years

We also note that the number of compounding periods must be 12 since the investment is compounded monthly.

We plug in what we know:

\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ 5336=4739(1+\frac{0.051}{12})^{12t} \\ Simplify\text{ and rearrange} \\ 5336=4739(\frac{12.051}{12})^{12t} \\ 12t=\frac{\ln\frac{5336}{4739}}{\ln\frac{12.051}{12}} \\ t=\frac{\operatorname{\ln}\frac{5,336}{4,739}}{12\operatorname{\ln}\frac{12.051}{12}} \\ Calculate \\ t=2.33 \end{gathered}

Therefore, the answer is 2.33 years.

5 0
1 year ago
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