write the expression 5x(x+9) -7(x+9) in complete factored form.

Answers

Answer 1
5x^2 + 45 - 7x - 63 which simplifies to 5x^2 -7x -18?
Answer 2
Answer:

(5x-7)(x-9)

Step-by-step explanation:

Factoring is the inverse of the distributive property. This means that we want to find the factors, not the product.

Partial Factoring

The expression we are given has already been factored to an extent. Both terms are split into 2 different factors. This was done by factoring out the greatest common factor (GCF) from both terms. In the first term, the GCF was 5x, and in the second, the GCF was -7.

Complete Factoring

Even though it was partially factored, we can factor it more. When given the situation:

a(x + y) - b(x + y)

The expression can be factored into:

(a - b)(x + y)

You can add (subtract in this case because 7 is negative) the values from outside the parentheses together. This term can then be multiplied by the value within the parentheses.

Thus, 5x(x+9) -7(x+9) can be factored into:

(5x-7)(x-9)

Remember this trick only works when both terms share a factor like (x-9).


Related Questions

what's the correct answer please
A mite measures 0.00091 of a meter long. Which of the following correctly represents this in Scientific Notation?
9.1x10^4
9.1x10^-4
9.1x10^3
9.1x10^-3

Answers

Answer:

9.1x- 10000

9.1 x 10^-4

Step-by-step explanation:

b

Which set of ordered pairs represents a linear relationship?
A {(0, 1), (2, 2), (-2, 0), (4,3)}
B. {(0, -2), (1, 1), (-1,-3), (2, 3)}
C. {(0, -1), (1, 1), (-1,-2), (2,3)}
D. {(0, -2.5), (5, 2.5), (1, -2.5), (-1, -3.5)}​

Answers

Answer:

A

Step-by-step explanation:

Solve the parallelogram for x MARKINF people as brainlist

Answers

Answer:

in the question there must be the area of the parallelogram given...

If it takes 1/2 hour to walk 2/7 of a field, how long will it take to walk the whole field

Answers

Answer:

1 hr 45 min

Step-by-step explanation:

so to get one from 2/7 me multiply by 7/2

so if we also multiply the time by 7/2

we get 1/2*7/2=7/4 hour

1 and 3/4 hour or

1 hr 45 min

Answer:

1hour 45 minutes

Step-by-step explanation:

2\7= 30min

7\7=7\7×30÷2\7=7\7×30×7\2=105mins

1h=60min

   =105min

105÷60=1 1\4 hour

The length of a rectangle is 3 meters greater than 2 times the width, The perimeter of rectangle is 30 meters

Answers

Answer: 1= A/w

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

(5, 38) (6, 39)

(39 - 38)/(6 - 5) = 1/1= 1

y - 38 = x - 5

y = x + 33

Berapakah volume bangun di atas?​
Pake cara yya !

Answers

Answer:

Volume of the figure = 64 cm³

Step-by-step explanation:

Volume of the given figure = Volume of complete cuboid - volume of the cuboid having one face as ABCD

Volume of complete cuboid = Length × Width × Height

                                               = 10 × 2 × 6

                                               = 120 cm³

Volume of the part having one face as ABCD = AB × BF × BC

                                                                            = 7 × 2 × (6 - 2)

                                                                            = 56 cm³

Volume of the given figure in the picture = 120 - 56

                                                                    = 64 cm³

Therefore, volume of the figure = 64 cm³

Given that sin(t) = 0.8 and cos(t) < 0, find the values of the other 5 trigonometric functions.

Answers

Answer:

dhsuaehcusjr ushebdhzsjr

A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows.

Find the value of the F-test statistic for testing whether the average gas mileage is the same for the four car models. Round your answer to two decimal places, if necessary.

Car A Car B Car C Car D
Driver 1 23 39 22 25
Driver 2 37 39 28 39
Driver 3 39 40 21 25
Driver 4 34 36 27 33
Driver 5 27 35 26 37

Required:
Make the decision to reject or fail to reject the null hypothesis that there is no difference in the average gas mileages of the four car models. State the conclusion in terms of the original problem. Use alpha = 0.01.

a. We reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
b. We fail to reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.
c. We fail to reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
d. We reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.

Answers

Answer:

We reject the null hypothesis at the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models  ( A )

Step-by-step explanation:

Using the Given data we will apply the two way ANOVA without

source of variation            SS             df        MS        F

Block                                  148.80       4        37.20    1.68

Treatment                         424.40       3        141.47     6.39

Error                                  265.60       12       22.13

Total                                  838.80       19

From the Two way ANOVA table the F-statistic = 6.39

v= u + at, find v, when u = 12, a = 5 and t = 7

Answers

Answer:

V=47

Step-by-step explanation:

12+5x7

12+35

47

Answer:

Final velocity (v) = 47 m/s

Step-by-step explanation:

u = 12

a = 5

t = 7

v = ?

v = u + at (first law of motion)

v = 12 + (5 × 7)

v = 12 + 35

v = 47 m/s.

Slope of (-2,-1) and (2,-3)

Answers

SLOPE is the picture.

Point-Slope form is y+1=-1/2*(x+2)

The y=mx+b form is y=-1/2x-2

i hope its not confusing lol

Question #4
The radius of a circle is 12 inches.
Enter the circumference of the circle, in inches. Round your answer
to the nearest hundredth.

Answers

Answer:

80.11 inches

Step-by-step explanation:

The formula to finding the circumference of a circle is:

C = 2πr (C = circumference, π = pi, r = radius)

Replace r with the radius:

C = 2π(12.75)

Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded

to the nearest hundredth is 80.11

solve the equation 8 + b = 26 and b=

Answers

b=26-8
so the answer is b=18
B is equal to 18 hope this is correct

15x > - 60

Help and I’ll give u brainlist :)

Answers

Answer:

most likely 1 or 20 but im not so sure tho

How many 1/2 cup servings are in 6 cups of grapes?

Answers

Answer:

There are 12

Step-by-step explanation:

hope this helps.

There is 12 1/2 servings in 6 cups of grapes

A store has apples on sale for $21.00 for 6 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $168.00? Complete the explanation.

The cost per pound of the apples on sale is $__.
You can buy ___
pounds of apples for $168.00.
Since 1 pound = 16 ounces, so there are about ___
apples in each pound.
You can buy approximately ___
apples for $168.00.

Answers

Answer:

34

Step-by-step explanation:

168÷5=8

Divided The Cost By The Pounds

!! IMPORTANT !! WILL GIVE BRAINLIEST !!

Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 10-in squares from each corner. The length of the original piece of cardboard is 20 inches more than the width. If the volume of the box is 1250 in^3, determine the dimensions of the original piece of cardboard.
(figure of the problem is shown in attached picture)
The dimensions of the original piece of cardboard are _ inches by _ inches.

!! PLEASE HELP !! THANKS !!​

Answers

Answer:

25 in by 45 in.

Step-by-step explanation:

The length of the box will be x + 20 - 10 - 10 = x

The width of the box will be x - 10 - 10 = x - 20

The height of the box will be 10

So the volume = length x width x height

                        = x(x - 20)10 = 1250

                        =   [tex]10x^{2} - 200x = 1250[/tex]

                         [tex]10x^{2} -200x - 1250 = 0[/tex]

                           [tex]10(x^{2} -20x - 125)\\[/tex] = 0

                          10(x + 5)(x - 25) =0

                                 x = -5      x = 25

- 5 must be discarded since a length cannot be negative.  

Therefore x = 25 in = width of piece of cardboard

            x + 20 = 25 + 20 = 45 in = length of piece of cardboard

Which of these best describes a pair of supplementary angles?


a . Two angles whose sum is 90°.

b . Two non-adjacent angles formed by the intersection of two lines.

c . Two angles whose sum is 180°

d . Two angles that share a common side and vertex with no common interior points.

Answers

Answer:

c . Two angles whose sum is 180°

Step-by-step explanation:

Hope it helps you in your learning process

A recent General Social Survey asked respondents how many close friends they had. For a sample of 1467 people, the mean was 7.4 and the standard deviation was 11.0. The distribution had a median of 5 and a mode of 4.Based on these statistics, would you expect this distribution to be bell-shaped, left skewed, or right skewed?

Answers

Answer:

This distribution should be expected to be right skewed.

Step-by-step explanation:

Pearson skewness:

The skewness of a data set is given by the subtraction of the mean by the mode, divided by the standard deviation.

If the coefficient is positive, the distribution is right skewed.

If the coefficient is negative, the distribution is left skewed.

If the coefficient is sufficiently close to 0(+/- 0.05), the distribution is bell shaped.

In this question:

Mean 7.4, mode 4, standard deviation 11

(7.4-4)/11 = 3.4/11 = 0.31

Positive coefficient, so right skewed.


SOMEONE PLS HELP ME

Answers

Answer:

4

Step-by-step explanation:

hope this helps

Answer:

The slope is 2

Step-by-step explanation:

its 6/3 and if you simplify that its 2

The population of a school will increase by 3% per year. In 2005, the population was 127 students. Use a graph to find when the population will be
Enter the correct year in the box.

Answers

Using an exponential function, it is found that the population will be of 350 students in the year of 2039, 34.3 years after 2005.

What is an exponential function?

An increasing exponential function is modeled according to the rule presented as follows:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which the parameters of the equation is defined as follows:

A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.

In the context of this problem, the values of the parameters are given as follows:

A(0) = 127, which is the number of students in the reference year of 2005.r = 0.03, which is the yearly increase rate.

Hence the equation for the number of students in t years after 2005 is given as follows:

[tex]A(t) = 127(1.03)^t[/tex]

The number will be of 350 students when A(t) = 350, hence:

[tex]A(t) = 127(1.03)^t[/tex]

[tex]350 = 127(1.03)^t[/tex]

[tex](1.03)^t = \frac{350}{127}[/tex]

[tex]\log{(1.03)^t} = \log{\left(\frac{350}{127}\right)}[/tex]

[tex]t\log{1.03} = \log{\left(\frac{350}{127}\right)}[/tex]

[tex]t = \frac{\log{\left(\frac{350}{127}\right)}}{\log{1.03}}[/tex]

t = 34.3 years.

34.3 years = during the year of 2005 + 34.3 = 2039. This result is shown by the graph at the end of the answer.

Missing Information

The problem asks for when the population will be of 350 students.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

I need help with this question

Answers

Answer:

j-10=35

j is 45

Step-by-step explanation:

35+10=45

Ismail has 44 sweets more than Johan. If the number of sweets Johan has is of the
7/11 of the number of sweets Ismail has, how many sweets do they have altogether?​

Answers

Answer:

121

Step-by-step explanation:

Find out the amount of units Ismail have more than Johan.

11 - 7 = 4 units

Since Ismail has 44 more sweets than Johan and 4 more units..

4 units = 44

1 units = 44 ÷ 4 = 11

Altogether, there's 11 units.

11 units = 11 x 11 = 121

It will take 48 hours of work to complete the garden.
The garden must be finished in 3 days.
Each gardener works for 8 hours per day.
How many gardeners are needed?

Answers

6 Gardner’s because 48/8=6

Find the value of x.
m2 = x + 85
2
73°

Answers

Answer:

-12

Step-by-step explanation:

in an iscocles, the base angles equal eachother so,

73=x+85

x=-12

The answer is -12 x=-12

What is 3/4. Of 44 in the amazing mathematics

Answers

Answer:

3/4 of 44 is 33

Step-by-step explanation:

33

Answer:

33

Step-by-step explanation:

What is -8x-9-5+9 plz help

Answers

Answer:

-8x - 5

Step-by-step explanation:

-8x - 9 - 5 + 9 = -8x - 5

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

he mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 16001600 voters in the town and found that 344% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 311%. Find the value of the test statistic. Round your answer to two decimal places.

Answers

Answer:

2.60

Step-by-step explanation:

Given that:

n = 1600

[tex]\hat p = 0.34[/tex]

[tex]P_o = 0.31[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{\hat p - P_o}{\sqrt{ \dfrac{P_o\times (1-P_o) } {n} }}[/tex]

[tex]Z = \dfrac{0.34-0.31}{\sqrt{ \dfrac{0.31 \times (1-0.31) } {1600} }}[/tex]

[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.31 \times (0.69) } {1600} }}[/tex]

[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.2139} {1600} }}[/tex]

[tex]Z = 2.60[/tex]

C. Find the value of x below:
15.r + 5
-2 + 16.

Answers

Answer:

7

Step-by-step explanation:

(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.

Measures of corresponding angles are equal.

Therefore,

- 2 + 16x = 15x + 5

16x - 15x = 5 + 2

x = 7

PLEASE PLEASE HELP 30 POINTS AND WILL GIVE BRAINIEST

what is the measure of angle ABC
what is the measure of angle CBE
what is the measure of angle DBE
what is the measure of angle ABD ​

Answers

Answer:

Please read down below, thanks

Step-by-step explanation:

Vertical angles are always equal.

Because the two expression we have are equal, we can make the equation:

4x + 2 = 5x - 13

Let's move x to one side and the constants to the other side.

Subtract both sides by 4x and add both sides by 13

15 = x

Now we know x = 15, we can solve for the angles.

∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees

∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees

∠DBE is the same as ∠ABC so: 47 degrees

∠ABD is also the same as ∠CBE so: 133 degrees

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