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labwork [276]
2 years ago
10

Find the quadratic equation whose roots are -3 and 1​

Mathematics
1 answer:
Dmitrij [34]2 years ago
8 0

Answer:

x²+2x-3=0

According to Vieta's formula:

x²-(Sum of roots)x+(product of roots)=0

Sum of roots=-3+1=-2

Product of roots=-3×1=-3

The equation is x²-(-2)x+(-3)=0

x²+2x-3=0

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What is the area of the figure below?
mr_godi [17]
The answerr is 12 square units
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One bottle of shampoo cost $6 and 8 ounces.A second bottle cost $4 and 5 ounces of shampoo.Which is the lower unit rate?How much
Arisa [49]
The six dollars for eight ounces is the cheaper one.

you have to find the common denominator between 5 and 8, the simplest I thought of was forty so to get the eight to forty, you multiply by five and six times five equals thirty and you do the same for the other one except it's times eight for this one so it'll equal thirty two, so there isn't much difference (two) but the first bottle has the lower unit rate
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3 years ago
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For the function f(x)=-3(x-1) find f(0)
pentagon [3]
F(0)=-3(0-1)
f(0)=-3(-1)
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3 0
3 years ago
What is the range of the function f(x)=x2−3 when the domain is {1, 3, 5}?
34kurt

Answer:

the range is {-2, 6, 22}

Step-by-step explanation:

Use " ^ " to indicate exponentiation:  f(x) = x^2 - 3.

For each value in the domain {1, 3, 5}, calculate f(x) = x^2 - 3:

f(1) = 1^2 - 3 = -2

f(3) = 3^2 - 3 = 9 - 3 = 6

f(5) = 5^2 - 3 = 25 - 3 = 22

Thus, the range is {-2, 6, 22}

3 0
2 years ago
Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items wit
IceJOKER [234]

Answer:

The net pay of the Raquel be $601 .

Step-by-step explanation:

As given

Raquel has gross pay of $732 and federal tax withholdings of $62.

Social Security tax that is 6.2% of her gross pay .

6.2% is written in the decimal form.

= \frac{6.2}{100}

= 0.062

Social Security tax = 0.062 × Gross pay

                              = 0.062 × 732

                               = $ 45.38 (Approx)

As given

Medicare tax that is 1.45% of her gross pay .

1.45% is written in the decimal form.

= \frac{1.45}{100}

= 0.0145

Medicare Tax = 0.0145 × Gross pay

                       = 0.0145 × 732

                       = $ 10.6 (Approx)

As given

State tax that is 21% of her federal tax.

21% is written in the decimal form.

= \frac{21}{100}

= 0.21

State tax = 0.21 × Federal tax

              = 0.21 × 62

              = $13.02

Total amount of the tax = Federal tax + Social Security tax + Medicare Tax + State tax

Putting all the values in the above

                                      = $62 + $45.38 +$10.6 + $13.02

                                      = $ 131

Raquel’s net pay = Gross pay - Total amount of taxes

                             = $732 - $131

                             = $ 601

Therefore the net pay of the Raquel be $601 .

3 0
3 years ago
Read 2 more answers
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