The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.

10x3 + 35x2 − 4x − 14

5x2(____) − 2(____)

What is the common factor that is missing from both sets of parentheses?

Answer:

This is an example of self selecting sampling

Step-by-step explanation:

This is an example of self selecting sampling because the news program is asking viewed to give their opinions. The viewers themselves have a choice of participating in the sample therefore is self selecting.

Answer:

16

Step-by-step explanation:

16 is an even number not 27 35 49

Answer:

[tex]16 \: \: \: \: \: ofcourse[/tex]

Answer:

45

Step-by-step explanation:

If you write it out it will look like this, 2x+45+x=180

3x+45=180

3x+45=180

    -45   -45

3x=135

/3   /3

x=45

Answer:

x=45

Step-by-step explanation:

Straight angles/lines are equal to 180 degrees. If you add the equations together to get 180 and simplify you'll find the answer. So, start out with the equation 2x+45+x=180.

1. Add like terms. 3x+45=180

2. Subtract 45 from both sides. 3x=135

3. Divide by 3 on both sides to get x by itself. x=45

4. Just to make sure, plug in 45 for x. 2(45)+45+45=180. Sure enough, it works!

[tex] \large \sf \pink{Answer: }[/tex]

[tex] \large \purple{ \boxed{ \frac{16}{21}}}[/tex]

[tex] \large \sf \pink{Explanation:}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{3}{9}}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{1 \times 3}{3 \times 3}}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{1}{3}} [/tex]

[tex] \sf \large\frac{3 \times 3}{21} + \frac{1 \times 7}{21}[/tex]

[tex] \sf \large{ \frac{9}{21} + \frac{7}{21}}[/tex]

[tex] \sf \large{ \frac{(9 + 7)}{21}}[/tex]

[tex] \sf \large \purple{ = \frac{16}{21}}[/tex]

Answer:

Step-by-step explanation:

(8+7x) x 9 =

8 x 9 + 7x x 9 -

72 + 63x

Hope that helps!

Answer:

[tex]\huge\boxed{\boxed{\sf{72+63x}}}[/tex]

Step-by-step explanation:

Hello.

In order to simplify this expression, we need to

multiply  8+7x times 9

8×9=72

7x×9=63x

72+63x

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

336 inches

Step-by-step explanation:

Answer:

6s−54

Step-by-step explanation:

Use the distributive property to multiply 6 by s−9. i hope this helps

Answer:

[tex]y = 4x - 47[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Parallel lines:

When two lines are parallel, they have the same slope.

8x-2y=7

Placing into the format, we have thtt:

[tex]2y = 8x - 7[/tex]

[tex]y = 4x - \frac{7}{2}[/tex]

Slope of 4.

This means that the desired line has the following equation:

[tex]y = 4x + b[/tex]

Point of (12,1)

This means that when [tex]x = 12, y = 1[/tex]

We use this to find b.

[tex]y = 4x + b[/tex]

[tex]1 = 48 + b[/tex]

[tex]b = -47[/tex]

So, the line has the equation:

[tex]y = 4x - 47[/tex]

Answer:

42 dollars

Step-by-step explanation:

Answer:

The answer is C!

Step-by-step explanation:

Answer:

Have a greattt day;)

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

y = 1/2 x

Answer:

0.35 = 35% probability that a married couple watches the movie

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that a husband watches the movie, given that his wife does, is 0.7.

This means that [tex]P(B|A) = 0.7[/tex]

The probability that a wife watches the movie is 0.5.

This means that [tex]P(A) = 0.5[/tex]

What is the probability that a married couple watches the movie?

Both, so:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)*P(A) = 0.7*0.5 = 0.35[/tex]

0.35 = 35% probability that a married couple watches the movie

Answer: x4+3bxy−x3+x2−8x−2

Step-by-step explanation:

x4−x3+x2−8x+3byx−2

=x4+−x3+x2+−8x+3bxy+−2

HOPE THIS HELPS

Answer:

x^4-x^3+x^2-5x-2

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Area of the 1st upright rectangle: 3x4=12

Area of 2nd rectangle: rectangle: 6x1=6

area of triangle: ((1st leg)x(2nd leg))/2=(4x3)/2=6

1st leg=4

2nd leg=6-3=3

12+6+6

24=area

Hope this helps :)

Answer:

3:8

Step-by-step explanation:

first add up all the crayons

4+1+5+6

16

there are 6 green crayons so the ratio is

6:16

reduce by factor of 2

3:8

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

Yes I know this material.

Answer:

18 is the correct answer to this

Step-by-step explanation:

18/9=2

Answer:

c. 10

Step-by-step explanation:

Pythagoras theorem is used since it's a right angle triangle

26²-24²=a²

676-576=a²

√100=√a²

a=10

Answer:

-8, -14, -20, -26, -32, -38

Step-by-step explanation:

if we do this equation:

14 - 8 = 6

20 - 14 = 6

26 - 20 = 6  and you will do this until you get the answer you want.

so the arithmatic squence is -8, -14, -20, -26, -32, -38

Answer:

C

Step-by-step explanation:

Area of a parallelogram:

BH x 1/2

In this case 7 and 6 are your base and the height is your half.

Answer:

I believe the answer is A: A = 6 * 7

Step-by-step explanation:

Ok, I may be wrong, but this is how I see the answer:

The formula for how to find the area of a parallelogram is A = b * h.

Base = 6 m

Height = 7 m

A = 6 * 7

Answer:

base 1 + base 2 times height times half (basically dividing by 2) is the formula of a trapezoid. 25 + 35 = 60 x 21 = 1260 divided by 2 is 630

Answer:

C(x)=0.65x+8

Step-by-step explanation:

According to the information given, you can say that the total cost would be equal to the result of multiplying the cost of the meat and bun per burger for the number of burgers made plus the amount spent on condiments and supplies, which can be expressed as:

C(x)=0.65x+8, where:

C(x) is the total cost

x is the number of burgers made

Answer:

2 terms

Step-by-step explanation:

Answer:

4.46% probability that the pressure will exceed this value.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Gaussian distribution with a mean value of 69 psi and a standard deviation of 10 psi.

Gaussian distribution = normal.

This means that [tex]\mu = 69, \sigma = 10[/tex]

If it is important that the pressure stays below 86 psi, what is the probability (in percent) that the pressure will exceed this value?

As a proportion, this probability is 1 subtracted by the pvalue of Z when X = 86. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{86 - 69}{10}[/tex]

[tex]Z = 1.7[/tex]

[tex]Z = 1.7[/tex] has a pvalue of 0.9554

1 - 0.9554 = 0.0446

0.0446*100 = 4.46%

4.46% probability that the pressure will exceed this value.

Step-by-step explanation:

the answer is A=12.57

A=πr^2

3.14 • 2^2 = 12.57