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Ber [7]
3 years ago
14

Choose the quadratic equation that has a leading coefficient of 8 and solutions -10 and 7/8

Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer:

f(x)=8x^2+73x-70

Step-by-step explanation:

We are given

zeros as -10 and 7/8

now, we can set up function as

f(x)=a(x-(-10))(x-\frac{7}{8})

now, we are given that

leading coefficient is 8

so, a=8

now, we can plug it

f(x)=8(x-(-10))(x-\frac{7}{8})

now, we can simplify it

f(x)=8\left(x^2+\frac{73x}{8}-\frac{35}{4}\right)

so, we get

f(x)=8x^2+73x-70

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Please help me ASAP!!! could someone help me do my geometry?
elena-14-01-66 [18.8K]

Answer:

9. m(YZ) = 102°

10. m(JKL) = 192°

11. m<GHF = 75°

Step-by-step explanation:

9. First, find the value of x

4x + 3 = 3x + 15 (inscribed angle that are subtended by the same arc are equal based on the inscribed angle theorem)

Collect like terms

4x - 3x = -3 + 15

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4x + 3 = ½(m(YZ)) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Plug in the value of x

4(12) + 3 = ½(m(YZ))

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Multiply both sides by 2

51*2 = m(YZ)

102 = m(YZ)

m(YZ) = 102°

10. First, find the value of x.

7x + 5 + 6x + 6 = 180° (opposite angles in an inscribed quadrilateral are supplementary)

Add like terms

13x + 11 = 180

13x = 180 - 11

13x = 169

x = 169/13

x = 13

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Plug in the value of x

7(13) + 5 = ½(m(JKL))

96 = ½(m(JKL))

Multiply both sides by 2

2*96 = m(JKL)

m(JKL) = 192°

11. First, find x.

5x + 15 = ½(11x + 18) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Multiply both sides by 2

2(5x + 15) = 11x + 18

10x + 30 = 11x + 18

Collect like terms

10x - 11x = -30 + 18

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Divide both sides by -1

x = 12

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Plug in the value of x

m<GHF = 5(12) + 15

m<GHF = 60 + 15

m<GHF = 75°

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3 years ago
In a school contest, each student draws a number from 1 to 5 out of a large basket. The outcomes are shown in the table below.
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Answer:

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Step-by-step explanation:

Their are 5 possible outcomes 1/83, 2/79, 3/88, 4/72, and 5/85. Trust me its 88/407

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Answer:

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Step-by-step explanation:

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