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2 years ago

Factor and write the x-intercepts 6x^2-5x-21 PLEASE HELP I NEED ANSWER

Mathematics

1 answer:

Alona [7]2 years ago

4 0

Answer:

Your answer is in the picture.

Step-by-step explanation:

Visit the website if you want to factor polynomial.

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What is the solution to the system of equations? Use the substitution method. {y=−2x+5 {3x−4y=2 Enter your answer in the boxes.

Nataly_w [17]

1. You have the following equations:

y=−2x+5 (i)
3x−4y=2 (ii)

2. You must substitute the equation (i) into the equation (ii), as below:

3x−4y=2
3x-4(−2x+5)=2
3x+8x-20=2
11x-20=2

3. Now, you must clear the variable "x":

11x=2+20
x=22/11
x=2

4. You have the value of "x", so you can find the value of "y". When you substitute x=2 into the equation (i), you obtain:

y=−2x+5
y=-2(2)+5
y=-4+5
y=1

5. Therefore, the answer is:

x=2
y=1

7 0

4 years ago

A national business magazine reports that the mean age of retirement for women executives is 61.7. A women’s rights organization

Marina CMI [18]

Answer:

The calculated value |Z| = |-2.0375| = 2.0375<2.0541.96 at 0.02 level of significance

A women’s rights organization believes that the average value does not accurately depict the current trend in retirement.

Step-by-step explanation:

Step(i):-

Given that the mean age of retirement for women, executives is 61.7

Given mean of the Population = 61.7

Given that the size of the sample 'n' = 82

Given that the mean of sample x⁻ = 60.8

Given that the standard deviation 'σ' = 4.0years

Step(ii):-

Null hypothesis:H₀: μ ≠ 61.7

Alternative Hypothesis: H₁: μ = 61.7

Test statistic

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{60.8-61.7}{\frac{4.0}{\sqrt{82} } }$

Z = -2.0375

|Z| = |-2.0375| = 2.0375< 2.054 at 0.02 level of significance

Final answer:-

The calculated value |Z| = |-2.0375| = 2.0375 <2.054 at 0.02 level of significance

A women’s rights organization believes that the average value does not accurately depict the current trend in retirement.

7 0

3 years ago

Each month, Diana donates the same amount of money to a charity.

prisoha [69]

Start by making an equation.

D is your variable.

12d=1500

Then, divide each side by 12 because there are 12 months.

12d=1500
—- ——
12. 12

d=125

Diana donates $125 per month to a charity. This is because when you have a yearly sum that is paid per month, but you don’t know the per month rate, you divide the yearly amount by 12 because there are 12 months.

I really hope this helps and you get a good grade!!

4 0

3 years ago

Read 2 more answers

A ball inside of this cube has a volume of 268 cubic inches. If each side of the cube measures 9.5 inches, what is the volume of

n200080 [17]

Answer:

589.4 cubic inches.

Step-by-step explanation:

The volume of the cube with each side of the measure of 9.5 inches.

So, the volume of the cube will be (9.5 × 9.5 × 9.5) = 857.375 cubic inches.

Now, if there is a ball inside this cube with volume 268 cubic inches then the remaining volume inside the cube is filled with air.

Therefore, the volume of air inside the cube will be (857.375 - 268) = 589.375 cubic inches ≈ 589.4 cubic inches. (Answer)