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Vika [28.1K]
3 years ago
15

Write a quadratic function f(x) for the area of a rectangle length x+5 width 3x-7

Mathematics
1 answer:
Semmy [17]3 years ago
7 0
The area of a rectangle is the product of its length and width.
l=x+5 \\
w=3x-7 \\ \\
A=lw=(x+5)(3x-7)=3x^2-7x+15x-35=3x^2+8x-35 \\ \\
\boxed{f(x)=3x^2+8x-35}
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nikdorinn [45]

Answer:

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Step-by-step explanation:

6 0
3 years ago
A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest.
Tju [1.3M]

$ 1850 was invested in 9% account

<u>Solution:</u>

Given that  

Total amount invested by man in two saving accounts = $9493

Simple interest on one account =9%

Simple interest on second account = 10%

Total interest earned = $930.80

Need to determine amount invested in 9 % account.

Let assume amount invested in account where Simple Interest is 9% = x

And assume amount invested in account where Simple Interest is 10% = y

As total amount invested in two accounts is $9493

=> x + y = 9493      

=> y = 9493 - x                              ------(1)

\text { Simple Interest }=\frac{\text { Amount Invested } \times \text {rate of interest } \times \text {time}}{100}

\begin{array}{l}{\text { Simple interest when rate of interest is } 9 \%=\frac{x \times 9 \times 1}{100}=\frac{9 x}{100}} \\\\ {\text { Simple interest when rate of interest is } 10 \%=\frac{y \times 10 \times 1}{100}=\frac{10 y}{100}}\end{array}

As total interest earned = $930.80

\begin{array}{l}{\Rightarrow \frac{9 x}{100}+\frac{10 y}{100}=930.80} \\\\ {\Rightarrow 9 x+10 y=930.80 \times 100} \\\\ {\Rightarrow 9 x+10 y=93080}\end{array}

On substituting value of y from equation(1) in above equation , we get

9x + 10 (9493 – x) = 93080

=> 9x  + 94930 – 10x = 93080

=> -x = 93080 – 94930

=> -x = -1850

=> x = 1850  

Amount invested in account where Simple Interest is 9% = x  = $1850

Hence $1850 was invested in 9% account.

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4 years ago
A certain 90-mile trip took 2 hours. Exactly 1/3 of the distance traveled was by rail and this part of the trip took 1/5 of the
antiseptic1488 [7]

The average rate, in miles per hour, of the rail portion of the trip is; D: 75

<h3>How to calculate the average speed?</h3>

Since exactly 1/3 of the distance travelled was by rail, then we can say that;

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We are told that part of the trip took 1/5 of the travel time. Thus;

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Read more about Average speed at; brainly.com/question/4931057

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Answer:

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Step-by-step explanation:

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