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Georgia [21]
3 years ago
7

Factor The Polynomial X2+X-6

Mathematics
1 answer:
pickupchik [31]3 years ago
4 0

Answer:

C) (x-2)(x+3)

Step-by-step explanation:

x^2+x-6=(x-2)(x+3)

Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6.

You might be interested in
Solve for x. 2^6x+7=(1/8)^1-5x
wel

as a fraction the answer is

x=(10/9)

as a mixed number

x=1(1/9)

as a decimal

x=1.1

I wasn't sure which form you were looking for I I gave you them all

8 0
3 years ago
Help mee A scout troop are hiking in a forest. Starting from their base, they walk 4.2km south followed by 7.1km west. They want
slega [8]

Answer:

They should walk on a bearing of 59.4 degrees

Step-by-step explanation:

Given

South = 4.2km

West = 7.1km

Required

The bearing back to the base

The given question is illustrated with the attached image.

To do this, we simply calculate the measure of angle a using:

\tan(a) = \frac{Opposite}{Adjacent}

\tan(a) = \frac{7.1}{4,2}

\tan(a) = 1.6905

Take arctan of both sides

a = \tan^{-1}(1.6905)

a = 59.4^o

4 0
3 years ago
if a circular rug has a radius of 1 yard. what is the area of the rug to the nearest tenth of a square foot
Alecsey [184]
28.26 feet squared if using 3.14 for pi
4 0
3 years ago
Mr. Smith borrowed $22,000 to purchase stock for his baseball card shop. He repaid the simple interest loan after four years. He
Stella [2.4K]

Based on the calculations, the interest rate on the stock in four (4) years is equal to 7.1%.

<u>Given the following data:</u>

Amount borrowed (Principal) = $22,000.

Simple interest, I = $78.40.

Time = 4 year.

To determine the interest rate on the stock in four (4) years:

<h3>How to calculate simple interest?</h3>

Mathematically, simple interest can be calculated by using this formula:

I = PRT

<u>Where:</u>

  • S.I is the simple interest.
  • P is the principal or starting amount.
  • R is the interest rate.
  • T is the time measured in years.

Making R the subject of formula, we have:

R = I/PT

Substituting the given parameters into the formula, we have;

R = 6260/(22,000 × 4)

R = 6260/(88,000)

Interest rate = 0.071 = 7.1%.

Read more on simple interest here: brainly.com/question/24341207

#SPJ1

7 0
1 year ago
You would like to know whether forwards in a basketball league average the same (or different) numbers of points than the overal
Akimi4 [234]

Answer:

The critical t-value for such a test given an alpha level of 0.05 is 2.26

Step-by-step explanation:

Null hypothesis : H_0:\mu = 7.5

Alternate hypothesis :H_a:\mu \neq 7.5

Population mean = \mu = 7.5

Data : 10, 9, 6, 11, 13, 14, 9, 9, 9, and 10

Mean = \bar{x}=\frac{\text{Sum of all observations}}{\text{no. of observations}}

Mean =\frac{10+9+6+11+13+14+9+9+ 9+ 10}{10}

Mean =10

Standard deviation : \sqrt{\frac{\sum(x-\bar{x})^2}{n}}

Standard deviation :\sqrt{\frac{(10-10)^2+(9-10)^2+(6-10)^2+(11-10)^2+(13-10)^2+(14-10)^2+(9-10)^2+(9-10)^2+(9-10)^2+(10-10)^2}{10}}

Standard deviation s :2.144

t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}t = \frac{10-7.5}{\frac{2.144}{\sqrt{10}}}t=3.687

Df = n-1 = 10-1 = 9

T critical =t_{(df,\alpha)}=t_(9,0.05)=2.26

T calculated > T critical

So, We failed to accept null hypothesis

Hence the critical t-value for such a test given an alpha level of 0.05 is 2.26

5 0
3 years ago
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