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2 years ago

9

One factor of this polynomial is (2x - 1). Use long division to determine which expression represents the other factor. 2x³+ 5x²

- 27x + 12

1 answer:

rusak2 [61]2 years ago

6 0

-> 3rd answer is correct

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Find AD. Show how you got your answer.

stealth61 [152]

Notice the picture below
the AD line is a bisector, cutting the 36 degrees A in half,
18 and 18 degrees each half

notice the tickmarks, the triangle is an isosceles,
if those two sides are equal, so are the angles they make
down below with the base

now, the base is 8, AD is bisecting that too, to 4 and 4

now, using the Law of Sines

$\bf \textit{Law of sines}
\\ \quad \\
\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
----------------------------\\\\
\cfrac{sin(18^o)}{4}=\cfrac{sin(72^o)}{\overline{AD}}\implies \overline{AD}=\cfrac{4\cdot sin(72^o)}{sin(18^o)}$

keep in mind, the angles are in degrees, so, when taking the sines, make sure your calculator is in Degree mode

4 0

3 years ago

#1) What is the measure of ∠TVU, and why?

mrs_skeptik [129]

1) Answer: A

because trangles RST is similar to VUT as:

<RST=<VUT=55 (Angle)

<RTS=<VTU=90 (it seems right angled) Angle

So by AA similarity...(two angles similarity is enough)

2) Answer:B

y+z=x because exterior angle of a triangle (which is x) must be equal to sum of non-adjacent (y and z) interior angles.

3) Answer: A should be right choice. Step 1 is wrong here which is,

m<m + m<n + m<p=180 (wrong)

It should be:

m<m + m<n + m<0=180 (right)

3 0

3 years ago

Olivia borrows $50 from her mom to buy some art supplies. Olivia spends $32.15 on art supplies and gives the change back to her

frutty [35]

Mom's view is that she loses 50 dollars, but gains back 17.85 dollars as change from her daughter.

Olivia's view is that she gained 50 dollars from her mom, spent 32.15 dollars, then gave back the 17.85 change to her mom, so she didn't gain any money.

Mom's point of view: -$50 + $17.85 and Mom's point of view: -$50 + $17.85 are the correct answers, but technically, Olivia still owes her mom 32.15 dollars.

6 0

4 years ago

A bag contains different colored jelly beans. In the bag, there are 5 red jelly

ikadub [295]

Answer:

1/4

Step-by-step explanation:

3/12 = 1/4

(We got 12 by adding all the numbers together.)

4 0

3 years ago

Step 1 of 3: Each year a nationally recognized publication conducts its Survey of America’s Best Graduate and Professional Schoo

lukranit [14]

Answer:

Step-by-step explanation:

Hello!

Given the variables

Y: Starting salary of a graduate at a top business school

X: GMAT score of the business school

The sample used had a size n=20

The estimated regression equation was ^Y= -92040 + 228Xi

The correlation coefficients were r= 0.81

You need to know if r is statistically significant at a 0.05 level:

Assuming the hypotheses are:

H₀: There is a linear correlation between the variables of interest

H₁: There is no linear correlation between the variables of interest

α: 0.05

This test is two-tailed.

The p-value for a r=0.81 and n=20 is 0.000015

Using the p-value approach, the decision rule is:

If p-value ≤ α, reject the null hypothesis

If p-value > α, do not reject the null hypothesis

In this case, the p-value is less than α, the decision is to reject the null hypothesis.

At a 5% level, you can conclude that the coefficient of correlation is statistically significant.

4 0

3 years ago