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Alenkinab [10]
4 years ago
11

Express (6x-8)(7x+1)-1/2x^2 as a trinomial in standard form.

Mathematics
1 answer:
GenaCL600 [577]4 years ago
7 0

Answer:

83/2x^2-50x-8

Step-by-step explanation:

multiplique los parentensis

42x^2+6x-56x-8-1/2x^2

calcula la diferencia

83/2x^2+6x-56x-8

agrupe los terminos semejantes

83/2x^2-50x-8

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determine the equation of the parabola (simplified) with roots -3+sqrt6 and -3-sqrt6, and passing through the point (-1,4)
klio [65]

Given:

Roots:

\begin{gathered} -3+\sqrt[]{6} \\ -3-\sqrt[]{6} \end{gathered}

Point: (-1,4)

To determine the equation of the parabola with the given roots and point, we find the missing values first.

Since the roots are given, we can say that the equation is:

y=a(x+3-\sqrt[]{6})(x+3+\sqrt[]{6})

Next, we expand the terms.

y=a(x^2+6x+3)

Then, we plug in x= -1, and y=4 into the equation to get the value of a.

\begin{gathered} y=a(x^2+6x+3) \\ 4=a((-1)^2+6(-1)+3) \\ \text{Simplify and rearrange} \\ 4=a(-2) \\ a=\frac{4}{-2} \\ a=-2 \end{gathered}

So,

undefined

6 0
2 years ago
Describe the error of regression for each example l.
Basile [38]

it isn't lined up to x straight while it's crooked

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3 years ago
Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If a serving of lemonade i
Elden [556K]

Answer:

17.5

Step-by-step explanation:

6 0
4 years ago
Boats from all along the Atlantic coast dock at a busy marina. Of the first boats to dock there one day, 10 of the boats were fr
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Answer:

6 boats

Step-by-step explanation:

Consider this, there are 10 boats from South Carolina and 10 from other sates.

So, lets make ratio with is 1/1 because for every 1 boat from other states, there is 1 boat for South Carolina.

There are 12 boats, divide them evenly to get the answer of 6 boats from South Carolina. The reason for dividing by two was due to the fact that half for South Carolina and half from other states. Now there is your answer.

6 0
3 years ago
At age 9 the average weight (21.3 kg) and the average height (124.5 cm) for both boys and girls are exactly the same. a random s
Lesechka [4]

Complete Question:

Heights of 9-Year-Olds At age 9 the average weight (21.3 kg) and the average height (124.5 cm) for both boys and girls are exactly the same. A random sample of 9-year-olds yielded these results. Estimate the mean difference in height between boys and girls with 95% confidence. Does your interval support the given claim?

                                 Boys             Girls

Sample Size                60                  50

Mean Height, cm        123.5             126.2

Population variance      98                 120

a.State the hypotheses and identify the claim.

b.Find the critical value(s).

c.Compute the test value.

d.Make the decision.

e.Summarize the results.

Step-by-step explanation:

Find attachments for complete solution

6 0
3 years ago
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