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elena-14-01-66 [18.8K]
3 years ago
8

what are some advantages of writing the polynomial expression -7x^2+32x+240 in factored form when interpreting this situation ​

Mathematics
1 answer:
hammer [34]3 years ago
6 0

Step-by-step explanation:

     The advantages of writing the polynomial expression

      -7x^{2} + 32x + 240 in factored form when interpreting this

      situation

      Factorizing the quadratic equation gives

       -7x^{2} + 32x + 240

        -7x^{2} +60x - 28x + 240

        x×(-7x + 60) -4 ×(-7x + 60)

        (x-4)×(-7x + 60)

        The roots of the equation<em> 4,-60/7</em>

        <em>Advantages of writing the polynomial expression in factored </em>

  • <em> we directly know the roots </em>
  • <em> we can easily draw the graph of the quadratic</em>
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A chemist is mixing 45% salt solution with a 30% salt solution to make 60 L of a new solution that will contain 40% salt. How mu
Alinara [238K]

Answer:

30 ml of 45% salt solution and 20 ml of 30% salt solution.

Step-by-step explanation:

Let x be the amount of 45% salt solution and y be the amount of 30% salt solution

the two equation will be:

x+y=60 -- A

0.45x+0.3y=0.4(60) -- B

Solve by substitution

Rewrite Equation A

x+y=60

x=60-y --- C

Substitute C into B

0.45(60-y)+0.3y=24

 27-0.45y+0.3y=24

                -0.15y=-3

                        y=20

<u>Substitute</u> the y=20 into equation C

x=60-20

x=30

Therefore, there was 30 ml of 45% salt solution and 20 ml of 30% salt solution.

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3 years ago
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.1%. How m
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The formula is P*R*T and that stands for principal * rate * time (in years). When you use the formula and plug in all of the numbers, you get the answer $3,660.

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Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Graph the line with a slope of 1 passing through the point<br> (1,-5).
Rom4ik [11]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:

m: Is the slope

b: Is the cut-off point with the y axis

According to the data of the statement we have to:

m = 1

Then, the equation is of the form:

y = x + b

We substitute the point (1, -5) and find "b":

-5 = 1 + b\\-5-1 =b\\-6 = b

Thus, the equation is of the form:

y = x-6

To graph we substitute the points on the coordinate axis:

(x, y) :( 0, -6)

For x = 2:y = 2-6 = -4 (2, -4)

For x = 10: y = 10-6 = 4 (10,4)

Answer:

y = x-6

See attached image

7 0
3 years ago
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