How do i factor the quadratic expression   4x^2-11x=3

Answers

Answer 1
Answer: 4x² - 11x = 3
4x² - 11x - 3 = 0
4x² -12x + x - 3 = 0
4x (x - 3) + 1(x - 3) = 0
(x - 3) (4x + 1) = 0
Using zero product property,
Either,
     x - 3 = 0
          x = 3
Or,
     4x + 1 = 0
           4x = -1
             x = -1/4
Answer 2
Answer: 4 x^(2) -11x-3=0
(4x+1)(x-3)=0
We can solve for x by setting each parentheses equal to 0
x= -1/4
x= 3

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. David invested $220 in a savings account that offers a 3% return on the investment. The value of David's investment will be at least $400 after a period of years. Hint: Use the formula A = P(1 + r)t, where A is the amount after t years, P is the amount invested, r is the rate of interest, and t is the time period. Use a calculator to compute the answer, and round it off to the nearest year.

10 is 5% of what number

Answers

We can use proportion to get the result
10 ----------- 5%
x ------------- 100%
Crossmultiply proportion

5*x=10*100
5x=1000     /:5 divide both sides by 5
x=1000:5
x=200 - its the answer


p\%=(p)/(100)\n\n5\%=(5)/(100)=0.05\n\nx-the\ number\n\n5\%\ of\ the\ number\ (x)\Rightarrow 0.05x\n\nThe\ equation:\n\n0.05x=10\ \ \ \ \ |divide\ both\ sides\ by\ 0.05\n\nx=(10)/(0.05)\n\nx=(1000)/(5)\n\n\boxed{x=200}\leftarrow ANSWER

A ship is traveling around the outside rim of an island surveying a good place to land. If it is 10 miles from a lighthouse at the center of the island and 45° from due north, how far has the ship traveled from the most northern tip of the island to the nearest tenth?

Answers

The correct answer for the question that is being presented above is this one: "C. 7.9 miles."

Area of the circle = pi * r^2
= pi * 100
= 314.15927.

It's traveled 45/360 = 1/8 of the circumference

Here are the following choices:
A. 0.8 miles
B. 4.5 miles
C. 7.9 miles
D. 12.5 miles

Step-by-step explanation:

Read the answer above/ below mine, I just wanted to point out that to solve this problem you use the circumference formula! The circumference of a circle is 2pi(r). r= radius= 10 (because 10 mi). Plug this into a calculator by typing: (20*pi) [division symbol] 8 =, and then it will give you 7.85..., but remember to round up to 7.9.

Write 3/9 in simplest form

Answers

That would be 1/3 because 3 can go into 3 once and 3 can go into 9 three times.

three goes into both 3 and 9, so it reduces to 1/3

The correlation coefficient r between a child age x and the number of minutes spent doing homework each day y is 0.694.What percent of the variation?

A. 30.6%
B. 48.2%
C. 51.8%
D. 69.4%

Answers

The final answer to your question is that the percent variation of  the correlation coefficient between a child age x and the number of minutes spent doing homework each day y with r = 0.694 is C. 51.8%.

Hope my answer would be a great help for you.

Answer:

The answer is 48.2%

Step-by-step explanation:

The correlation coefficient r between a child age x and the number of minutes spent doing homework each day y is 0.694 i.e r=0.694

Now, we have to find percent of the variation.

The coefficient of determination isr^(2)

The square of r(correlation coefficient) is the percent of variation that is explained by the dependent variable.

If r=0.694 ⇒r^(2)= (0.694)^(2)=0.482 this means that 48.2% of variation in dependent variable.


Please help Me! I need to find the slope of this line!

Answers

Answer:

1/3

Step-by-step explanation

Find the ratio of two points, change in y over change in x.

Simplify 5 + 2{x - 4[3x + 7(2 - x)]}.

-34x - 107
34x - 107
34x + 107

Answers

5 + 2(x - 4(3x + 7(2 - x)))
5 + 2(x - 4(3x + 14 - 7x))
5 +2(x - 4((3x - 7x) + 14))
5 + 2(x - 4(-4x + 14))
5 + 2(x + 16x - 56)
5 + 2(17x - 56)
5 + 34x - 112
34x - 107

The answer is: 34x - 107.

Answer:

The answer is: 34x - 107.

Step-by-step explanation: