H2+2h-120

The first 2 (one after H) is square

Answers

Answer 1

Answer:

(h + 12)(h - 10)

Step-by-step explanation:

Assuming you require to factor the expression

Given

h² + 2h - 120

Consider the factors of the constant term (- 120) which sum to give the coefficient of the h- term (+ 2)

The factors are + 12 and - 10 , since

12 × - 10 = - 120 and 12 - 10 = + 2 , thus

h² + 2h - 120 = (h + 12)(h - 10) ← in factored form

Answer 2
h+12)⋅(h−10) because
See steps
Step by Step Solution:
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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "h2" was replaced by "h^2".

STEP
1
:
Trying to factor by splitting the middle term

1.1 Factoring h2+2h-120
The first term is, h2 its coefficient is 1 .
The middle term is, +2h its coefficient is 2 .
The last term, "the constant", is -120

Step-1 : Multiply the coefficient of the first term by the constant 1 • -120 = -120

Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is 2 .

-120 + 1 = -119
-60 + 2 = -58
-40 + 3 = -37
-30 + 4 = -26
-24 + 5 = -19
-20 + 6 = -14
-15 + 8 = -7
-12 + 10 = -2
-10 + 12 = 2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 12
h2 - 10h + 12h - 120

Step-4 : Add up the first 2 terms, pulling out like factors :
h • (h-10)
Add up the last 2 terms, pulling out common factors :
12 • (h-10)
Step-5 : Add up the four terms of step 4 :
(h+12) • (h-10)
Which is the desired factorization

Final result :
(h + 12) • (h - 10)

Related Questions

115 km 10 hm what is that answer ​

Answers

Answer:

115 km.  10= 1 hm 

115 km= 1150 hm

Step-by-step explanation:

mark me brainliest!!

Three parrots A,B and Cwere parroting "hello" once every 3 minutes, 4 minutes and 5 minutes respectively. If three of the starts parroting at 7.00 a.m.,when will they parrots together again

Answers

The answer is 8:00 a.m. This is because the answer is simply the LCM of 3, 4, and 5 added to 7:00. The lcm of these numbers is 60, so 1 hr + 7:00 am is 8:00 a.m.

Use synthetic division to solve (3x^4+6x^3+2x^2+9x+10)/(x+2) What is the quotient?

Answers

Answer: = ( x + 1) (3x^2 - 3x + 5)

Step-by-step explanation:

U juss cancel the comon facor x + 2

( x + 1) (x + 2) (3x^2 - 3x + 5)/ x + 2

and get ( x + 1) (3x^2 - 3x + 5)

Answer:

B --> 3x^3+2x+5

Step-by-step explanation:

For edge

Write and equation for each line

Answers

Solution:

To find the equation of all the lines, we must:

    1. Find the slope

Choose any two pointsSubstitute the coordinates into the slope formulaSolve for the slope.

    2. Find the y-intercept by looking at the graph

Finding the equation of the green line:

Step-1: Choose any two points on the line

Chosen points: (0, 4) and (-4, 0)

Step-2: Review the slope formula

[tex]\rightarrow \text{Slope = m} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Where:

x₁ = x coordinate of the first pointx₂ = x coordinate of the second pointy₁ = y coordinate of the first pointy₂ = y coordinate of the second point

Step-3: Substitute the coordinates into the slope formula.

[tex]\rightarrow \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{0 - 4 }{-4 - 0 } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{-4 }{-4} = \text{Slope of green line}[/tex][tex]\rightarrow 1 = \text{Slope of green line}[/tex]

Step-4: Find the y-intercept of the green line

The y-intercept is the intersection of the line on the y-axis. Looking at the graph, we can tell that the intersection of the y-axis made by the green line is 4.

[tex]\text{y-intercept} = 4[/tex]

Step-5: Create the equation

Slope intercept form: y = (m)x + (b)             [m = slope; b = y-intercept]Equation of green line: y = (1)x + (4)                         [m = 1; b = 4]Equation of green line: y = x + 4

Finding the equation of the yellow line

The yellow line is a vertical line intersecting (1,0). Since the y-coordinate is 0, the equation will be:

x = x coordinate of (1,0)

The x coordinate of (1,0) is 1.

x = 1

Finding the equation of the blue line

Step-1: Choose any two points on the line

Chosen points: (0, 4) and (2, 0)

Step-2: Substitute the coordinates into the slope formula.

[tex]\rightarrow \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{0 - 4 }{2 - 0 } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{-4}{2} = \text{Slope of green line}[/tex][tex]\rightarrow -2 = \text{Slope of green line}[/tex]

Step-3: Find the y-intercept of the green line

Looking at the graph, we can tell that the intersection of the y-axis made by the blue line is 4.

[tex]\text{y-intercept} = 4[/tex]

Step-4: Create the equation

Slope intercept form: y = (m)x + (b)             [m = slope; b = y-intercept]Equation of green line: y = (-2)x + (4)                        [m = -2; b = 4]Equation of green line: y = -2x + 4

What do you already know about stem-and-leaf plot?

Answers

Answer:

A stem and leaf plot, or stem plot, is a technique used to classify either discrete or continuous variables.

Step-by-step explanation:

I have started doing it, but I am not sure what to do next....

Answers

Answer:

a) x=1/2

b) x=x

Step-by-step explanation:

a) x(1)=1/2

a) x=1/2

b) x(1)=x^0

b) x=x^0

b) x=x times 1

b) x=x

What is the percent of a hot dog? To show the price went down, use a negative number. 2000: $250 and 2015: $2.00

Answers

Answer:

The percentage of the hot dog decreased by 20%

Step-by-step explanation:

20% of 2.50 is 50 cents, meaning that the price went down by 50 cents.

Hope this helps!

can you look at this please
what is the value of a? What is the value of b?

Answers

Answer:

[tex]\huge\boxed{a=36;\ b=-9}[/tex]

Step-by-step explanation:

[tex](6x-3)(6x+3)=ax^2+b\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\(6x)^2-3^2=ax^2+b\\\\6^2x^2-9=ax^2+b\\\\36x^2-9=ax^2+b\Rightarrow a=36;\ b=-9[/tex]

PLEASE HELP!!!!
For 13–17, use the table at right. The table gives the populations of Toledo, Ohio, and Lexington, Kentucky, during the last three U.S. Censuses.

Answers

Answer:

13)2000 per year

14)a_n = 350000 - 2000(n - 1)

15)3000 per year

16)a_n = 200000 + 3000(n - 1)

17)when when the number of years is more than 31 years, Lexington's population will be greater than toledo.

Step-by-step explanation:

13) From the table, the population of toledo is 350,000 in 1980 and 330000 in 1990.

Thus,population change from 1980 to 1990 is; 350000 - 330000 = 20000

Similarly, from 1990 to 2000, population went from 330000 to 310000. Change in population is; 330000 - 310000 = 20000

In both cases we see that in 10 years interval, the change is 20000 each.. Thus, for 1 year, change in population = 20000/10 = 2000 per year

14) The population of toledo after 1980 can be expressed using arithmetic progression. Formula is;

a_n = a + (n - 1)d

Where;

a is population in 1980

n is number of years after 1980

d is change in population per year.

Since the population decreases each year, then d will be negative. Thus;

Thus;. a_n = 350000 - 2000(n - 1)

15)From the table, the population of lexington is 200,000 in 1980 and 230000 in 1990.

Thus,population change from 1980 to 1990 is; 230000 - 200000 = 30000

Similarly, from 1990 to 2000, population went from 230000 to 260000. Change in population is; 260000 - 230000 = 30000

In both cases we see that in 10 years interval, the change is 30000 each.. Thus, for 1 year, change in population = 30000/10 = 3000 per year

16) like earlier stated The population of Lexington after 1980 can be expressed using arithmetic progression. Formula is;

a_n = a + (n - 1)d

Where;

a is population in 1980

n is number of years after 1980

d is change in population per year.

a_n = 200000 + 3000(n - 1)

17) we want to find the years in which the population of Lexington will be more than that of toledo.

This simply means the inequality is;

200000 + 3000(n - 1) > 350000 - 2000(n - 1)

Deduct 200000 from both sides;

200000 - 200000 + 3000(n - 1) > 350000 - 200000 - 2000(n - 1)

3000(n - 1) > 150000 - 2000(n - 1)

Add 2000(n - 1) to both sides to get;

3000(n - 1) + 2000(n - 1) > 150000

3000n - 3000 + 2000n - 2000 > 150000

5000n - 5000 > 150000

5000n > 150000 + 5000

5000n > 155000

n > 155000/5000

n > 31

Thus,when when the number of years is more than 31 years, Lexington's population will be greater than toledo.

What is the equation of the given line in standard form?


–6x + 7y = –17


–6x + 11y = –13


–11x + 6y = –13


–6x +11y = 13

Answers

Answer:

-6x + 11y = 13

Step-by-step explanation:

the equation in slope-intercept form is:

from the two points we can find the slope, 2-(-1) / 1.5-4)

slope = 6/11

y-intercept can be found by using a point and the slope:

-1 = 6/11(-4) + b

-1 = -24/11 + b

b = 1 2/11 or 13/11

so we have:

y = 6/11x + 13/11

if we multiply everything by 11 we get:

11y = 6x + 13

subtract 6x from each side to get:

-6x + 11y = 13

ANSWER PLEASEEEEEEEEEEEEEEE

Answers

Answer:

2.75

Step-by-step explanation:because you subtracted 3 1/2 and6/8 and that’s your answer. If this is a big grade do not listen to me,if it’s not then go ahead and see if you got it write.

7. Two measures of two angles of a triangle are 68° and 70°. Explain how to find the measure of the third angle.
+

Answers

68+70=180
=138=180
=180-138
=42 degrees (using angle sum property of triangles

Hope this helps you

The bar graph shows your cell phone data usage for five months. A vertical bar graph, titled Cell Phone Data Uses. The vertical axis is labeled Gigabytes. The horizontal axis is labeled Month. For May, the bar height is 0.9. For June, the bar height is 1.85. For July, the bar height is 3.82. For August, the bar height is 2.19. For September, the bar height is 1.24. Describe how the outlier affects the mean. 4 / 10000 Word Limit it makes it higher. Question 2 Use the data to answer the statistical question, "How much cell phone data do you use in a month?" gigabytes

Answers

The outlier of the cell phone data usage has its value to be relatively higher or lower than other values

The outlier would make the mean higherYou use 1.85 gigabytes of data monthly

How to determine the outlier

From the bar graph, we have the following entries:

May = 0.9

June = 1.85

July = 3.82

August = 2.19

September = 1.24

The outlier of the dataset is 3.82.

This is so because it is relatively higher and far from other data elements

So, the outlier would make the mean higher

How much cellphone data you used monthly

The outlier affects the mean, but it does not affect the median.

So, we calculate the median.

When the dataset is arranged, we have:

0.9, 1.24, 1.85, 2.19, 3.82

The middle value is 1.85.

This represents the median.

Hence, you use 1.85 gigabytes of data monthly

Read more about outliers at:

https://brainly.com/question/3631910

Answer: How funny, I was answering this to.

Step-by-step explanation: I do not know this yet but somone is answering RN

Please answer quick and show work !

The price of a bicycle that ms. motyka wants to buy is $282. How much will she pay for the bicycle if there is a 4% sales tax.

Answers

Answer: $293.28

Step-by-step explanation:

We know that 282 is the 100% price tag on the bicycle. And there is a 4% tax applied to the 282. So we need to find out how much is 4% of 282.

282/100% = x/4% (we don’t know how much is 4% so its represented by X.


do a cross over where you end up with this:


282 (4) = x (100) we want to have X on its own as it represents the 4% to which we are looking for the amount in dollars. So you end up with this:


282 (4) /100 = x


solve the multiplication first and then divide.


1128/100 = x

11.28 = x


so now we know 4% of 282 is $11.28 so we add it to know how much does this person pay.


$282 + $11.28 = $293.28

12. The weight of 7 chocolate bars in grams are 131, 127,125,127,133,129 and 127
Find the Range of the data. *
(1 Point)
125
127
8
O 129
13. Find the sum of *​

Answers

Answer:

The range is from 125 to 133.

Step-by-step explanation:

That's the lowest and highest the weights go, therefore the range is from 125 and anything in between up to 133.

What is the product of (4^-2)(4^-1)

Answers

1/64 you can get this by dividing the two numbers and then adding what is left over and turn that into a fraction and you get 1/64

The circumference of frisbee is 12.56 inches. What is the frisbee’s radius?

30 points please show work thank you!!

Answers

Diameter = cirumference / pie(3.14)

Radius = Diameter/ Radius

Radius is 2 inches

The radius of the frisbee with a circumference of 12.56 inches is 2 inches

Formula for circumference

C = 2πr

Where

C is the circumference

r is the radius

π is constant (i.e pi)

How to determine the radius

From the question given above, the following data were obtained:

Circumference (C) = 12.56 inPi (π) = 3.14 Radius (r) =?

C = 2πr

12.56 = 2 × 3.14 × r

12.56 = 6.28 × r

Divide both side by 6.28

r = 12.56 / 6.28

r = 2 inches

Therefore, we can conclude that the radius of the Frisbee is 2 inches

Learn more about calculations involving radius:

https://brainly.com/question/6145

QUICKEST ANSWER GETS BRAINLIEST If you work more than 40 hours a week, then you are paid time and a half (1.5) for all hours over 40. If you work 46 hours this week, how much
did you earn if you are paid 9.25 an hour.
a
370
b
453.25
435.25
425.50

Answers

Answer:

I think its D 425.50

Step-by-step explanation:

If you do 46 times 9.25 it should be the answer

9+8+1=9+1+8
A. True
B. False

Answers

Answer:

true

Step-by-step explanation:

both sides have the same numbers and signs

Answer:

true........its the same thing

12 is 60, percent of what number?

Answers

Answer:

x = 20

Step-by-step explanation:

Hi there !

12 .........60%

x............100%

x = 12×100/60

= 1200/60

= 20

Good luck !

The Cleveland City Cable Railway had a 14-foot-diameter pulley to drive the cable. In order to keep the cable cars moving at a linear velocity of 16 miles per hour, how fast would the pulley need to turn (in revolutions per minute)? (1 mi = 5,280 ft. Round your answer to the nearest tenth.)

Answers

Answer:

  32.0 rpm

Step-by-step explanation:

16 mi/h = (16 mi)(5280 ft/mi)/(60 min) = 1408 ft/min

One revolution is a distance of ...

  C = πd

  C = π(14 ft) ≈ 43.98 ft

So the number of revolutions per minute is ...

  (1408 ft/min)/(43.98 ft/rev) = 32.01 rev/min

The pulley needed to turn at 32.0 rpm.

In Tanzania, Helen invested TZS X300,000 in the shares of company X and TZS X550,000 in the shares of company Y. After a year, she sold all the shares of both companies for TZS X400,000 and TZS X700,000 respectively. What is her profit from company X?

Answers

The profit from selling the shares in company X given the selling price and the purchase price is TZS X100,000.

What is the profit from the purchase?

Profit is the total selling price less the purchase price. A profit is earned when the selling price is greater than the cost price. If this is not the case, a loss is earned.

Profit = TZS X400,000 - TZS X300,000 = TZS X100,000

To learn more about profit, please check: https://brainly.com/question/26181966

A. 44
B. 112
C. 32
D. 35

Answers

Answer:

A. 44

Step-by-step explanation:

The area of a trapezoid is [tex]\frac{b_1+b_2}{2} * h[/tex], where b_1 and b_2 are the top and bottom bases, and h = height. We are given the bases as 8 and 14, and the height as 4.

[tex]\frac{8+14}{2} *4[/tex] [tex]\frac{22}{2} *4[/tex] [tex]11*4[/tex] [tex]44[/tex]

Therefore, the answer is A. 44.

44 I think I mean grammatically in a off event angle the I would say yeah

Question Help
The table shows median annual earnings for women and men with various levels of education. Assuming the difference in the table remains constant over a 40-year
career, approximately how much more does a man with a bachelor's degree earn than a man with a high school education?
High
School
Associate's Bachelor's Professional
Only
degree Only degree Only Degree
Women $21,513 $39,520 $49,577 $80,335
Men $40,460 $50,792 $66,245 $119,119
A man with a bachelor's degree earns more than a man with a high school education over a 40-year career. ws

Answers

9514 1404 393

Answer:

  $1,031,400

Step-by-step explanation:

A man with a high-school education earns $40,460 per year. A man with a bachelor's degree earns $66,245. The difference between these salaries is ...

  $66,245 - 40,460 = $27,785 . . . per year

Then in 40 years, the difference in earnings comes to ...

  (40 yr)($27,785/yr) = $1,031,400

A man with a bachelor's degree earns $1,031,400 more than a man with a high-school education over a 40-year career.

Bobby is reading a new book about dragons and wizards. He reads 1/5 of a chapter every night
before bed. There are 15 chapters in the book. How many days will it take Bobby to finish the
book?

Answers

Answer:

75 nights

Step-by-step explanation:

= 15 ÷ 1/5

= 15 × 5/1

=15×5/1 = 75

could you pls help with question 2

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x

=

1

3

Decimal Form:

0.3

this is the first one I'm not to good with area

At the local nursery, 1/6 of the plants for sale are flowers and another 5/12 of them are
bushes. What fraction of the plants for sale are either flowers or bushes?
Write your answer as a fraction or as a whole or mixed number.

Answers

9514 1404 393

Answer:

  7/12

Step-by-step explanation:

The fraction that is flowers or bushes is the sum of the fraction that are flowers and the fraction that are bushes:

  flowers + bushes = 1/6 + 5/12 = 2/12 + 5/12 = 7/12

7/12 are either flowers or bushes.

Explain how this graph demonstrates how the equation y = mx can be derived from the two points (1, m) and (x, y).

Answers

The equation y = mx of the graph is a linear equation

The linear equation that demonstrates the relationship on the graph is y = mx

How to determine the equation from the graph

The points on the graph are given as:

(1, m) and (x, y)

Start by calculating the slope (M)

[tex]M = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]M = \frac{y - m}{x - 1}[/tex]

The linear equation is then calculated as:

[tex]y = M(x - x_1) + y_1[/tex]

This gives

[tex]y = \frac{y - m}{x- 1}(x - 0) + 0[/tex]

[tex]y = \frac{y - m}{x- 1}(x)[/tex]

Cross multiply

[tex]yx-y = yx - mx[/tex]

Evaluate the common terms

[tex]-y =- mx[/tex]

Divide both sides by -1

y = mx

Hence, the equation of the graph is y = mx

Read more about linear equations at:

https://brainly.com/question/14323743

Which is the graph of the linear inequalityx-2y> -6?​

Answers

Answer:

4th graph (in bottom right corner)

Step-by-step explanation:

First, convert the given equation into slope-intercept form.

Given :-

1/2x - 2y > -6

-2y > -1/2x - 6

2y < 1/2x + 6

y < 1/4x + 3

As the < sign indicates, the line will be dotted and the solution set will be towards the origin in this case.

The correct option is the 4th graph (in bottom right corner)

Help meeeeeeee pleaseeeee

Answers

Answer:

Step-by-step explanation:

Answer:

y=2x

Step-by-step explanation:

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