If one of the factors of r ^ 2 + 21r + 98 is r + 7 , what is the other factor?

Answers

Answer 1

Answer:

i think factor the expression (r+7)(r+14) is answer

Step-by-step explanation:

Answer 2

Answer:

(r + 14)

Step-by-step explanation:

When factoring a trinomial in the form of:

[tex]ax^2+bx+c[/tex]

you need to find 2 numbers that multiply to make ac and add to make b. Here, we need to find 2 numbers that multiply to 98 and add to 21. First, list the factors of 98:

1, 98

2, 49

7, 14

and the reverse of all of those is also true.

Now find factors that add to 21. In this case, those are 7 and 14. You need to break the middle term in the trinomial into those 2 numbers:

[tex]r^2+21r+98\\r^2+7r+14r+98[/tex]

Finally, you can factor each half of this individually.

[tex](r^2+7r)+(14r+98)\\r(r+7)+14(r+7)\\(r+14)(r+7)[/tex]

We were already given (r + 7), so the answer is (r + 14).


Related Questions

Which of the following situations can be modeled by the expression 5 - (-3)?

Kylie is three years younger than Tyler, and Claire is five years older than Kylie. How many years separate Tyler and Claire?
Kylie is three years younger than Tyler, and Claire is five years older than Tyler. How many years separate Kylie and Claire?
None of the above.
Kylie is three years younger than Tyler, and Claire is five years younger than Tyler. How many years separate Kylie and Claire?

Answers

Answer:the first option

Step-by-step explanation:

2. Ramona spent 20 minutes on homework on Monday, 20 minutes on Tuesday,
40 minutes on Wednesday, 30 minutes on Thursday, and 0 minutes on Friday.
What is the mean number of minutes she spent on homework?

Answers

Answer:

Ramona spent 110 minutes on homework

Step-by-step explanation:

You want to add up all the minutes spent on homework altogether.

20 +20 = 40

40 + 40 = 80

80 + 30 = 110

110 + 0 = 110

So, Ramona spent a total of 110 minutes on homework. Hope this helps!

Need help need help need help need help need help need help need help

Answers

Answer:

10 to 11 would be correct

Answer:

10 to 11

Step-by-step explanation:

13. Solve to find the vertex if :
3x2 – 19x - 5

Answers

Answer:

 A) y = 3(x -3)^2 -46

 B) (3, -46)

 C) look at the y-coordinate of the vertex

Step-by-step explanation:

A) Factor the leading coefficient from the variable terms.

 y = 3(x^2 -6x) -19

Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.

 y = 3(x^2 -6x +9) -19 -3(9)

 y = 3(x -3)^2 -46

__

B) Compared to the vertex form, ...

 y = a(x -h)^2 +k

we find a=3, (h, k) = (3, -46).

The vertex is (3, -46).

__

C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.

If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.

Step-by-step explanation:

Help help help help math

Answers

Answer:

10.

Step-by-step explanation:

X is often associated with the value of "independent variable"

y=20-2(5)

y=20-10

y=10

a) Complete the table of values for y = 6 - 2x
0
1
2
3
Х
4
5
OT
10
-4
y
8
6
co
b) Draw the graph of y = 6 - 2x
on the grid.
4
2.
c) Solve 6 - 2x = 3

Answers

Step-by-step explanation:

the answer as shown in the photo

Is the sentence Equivalent or non equivalent 12:24,50:100

Answers

Answer:This sentence is EquivalentStep-by-step explanation:12:24::50:100=> 12/24 = 50/100=> 1/2 = 1/2Conclusion:

Therefore, the sentence is Equivalent.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Michael is saving money to buy a bike. So far, he
has saved $25 which is four-fifths of the total cost
of the bike. How much does the bike cost?

Answers

Let X = total cost of game

 

          (4/5) X = $25

 

Multiply both sides of equation by 5/3

 

   (5/3)(3/5) X = (5/3) $25

 

                   X = $35

which is the slope of the line that contains the point (-2,7) and (2,3)

Answers

Answer:

the slope of the line is -2.

Step-by-step explanation:

If I get payed $1.00 an hour, how much would I make for 10 minutes of work

Answers

Answer:

$0.10

Step-by-step explanation:

Answer
$0.10

Explanation
1/10 = 0.1

!!!!!!!!!HELP I need asnwer ASAP

Answers

The answers are in order.
1) 2, 8
2) 2, 1/2

The Levine family has 10 gallons of gas in the car. The car uses 1 5/8 of a gallon each hour. How long can they drive on 10 gallons of gas?

Answers

Answer:

6.15

Step-by-step explanation:

10 gallons is 80/8

1 5/8= 13/8

80 divided by 13 is 6.15384615385 but rounded 6.15

6.15 hours

if its not that then keep rounding to 6.2 or 6hrs

PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

f(-4a) = -16a + 8

Step-by-step explanation:

Substitute -4a into the equation

4x(-4a) + 8 = -16a +8

First guy is right!!

helpppppppppppp plzzzzzzzzzzzzz

Answers

Answer: It is C

Step-by-step explanation:

If the measure of wyz =27 what is the measure of zyx

Answers

Answer:

27

Step-by-step explanation:

compitative property

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000

Answers

What is the question?

Answer:

R(x)=2x.

Step-by-step explanation:

We get the total revenue by multiplying the revenue per unit times the numbers of units sold, so the general Revenue function is given by

R(x)=selling price per unit⋅x.

The manufacturer sells each energy drink for $2 so the Revenue function is :R(x)=2x.

What is the solution to the system of equations?
{2x + 3y = 6
x+y=1

Answers

Answer: {x,y} = {-3,-4}

Step-by-step explanation:

∫(sinxdx)/(sinx^3+cosx^3)

Answers

i answered this but i couldn’t take multiple pictures. however i found a website with the same answer as me after i answered your question. here : https://www.quora.com/How-do-I-integrate-Integrate-sinxdx-sin-3x+cos-3x

1+3+5+...+X=441
X=? ​

Answers

Answer:

559

Step-by-step explanation:

Prove the identity.
sin(x+y) / cosxcosy = tanx+tany

Answers

[tex]\dfrac{\sin(x+y)}{\cos x \cos y}\\\\\\=\dfrac{\sin x \cos y + \sin y \cos x}{\cos x \cos y}\\\\\\=\dfrac{\tfrac{\sin x \cos y}{\cos x \cos y} + \tfrac{\sin y \cos x}{\cos x \cos y}}{\tfrac{\cos x \cos y}{\cos x \cos y}}\\\\\\=\dfrac{\tan x + \tan y}1\\\\\\= \tan x + \tan y[/tex]

find the value of x.

Answers

Answer:

25

Step-by-step explanation:

x+7 = 32 (similar triangles)

x = 25

How can you identify the number of solutions of linear equations?

Answers

Answer:

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Mark me as brainlist plz :)

Need answer to the question in the picture above

Answers

Answer:

solution given :

Since opposite side and side of a congruent triangle are equal.

Now

the statement which is true is:

<HDG=~ <HFE

I MARK BRAINLIEST AND 50 points!!! find the magnitude of the resultant. forces of 92.6 lb and 118 lb act on an object. the angle between the forces is 75.2°.
a) 208 lb
b) 130 lb
c ) 168 lb
d) 150 lb

Answers

Answer:

This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.

Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.

The magnitude of the resultant force can be found by applying the law of cosines:

c2 = a2 + b2 - 2abcos140°

where a = 80, b = 70 and c is the resultant force vector you are asked to find

Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:

sinα/a = sin140°/c

where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs

Step-by-step explanation

Hello, good night, can someone help me?

Answers

Answer:

b

Step-by-step explanation:

pls mark me as brainliest pls

I believe the answer is b I hope this helps.

Simplify 1.25 (-x -4)

Answers

Answer:

-1.25x-5

Step-by-step explanation:

Find the area and perimeter of a square whose side length is
2x+3

Answers

Answer:

Area = 4x^2 + 12x + 9

Perimeter = 8x + 12

Step-by-step explanation:

How do I verify: tan(x)+cot(x)=(2)/sin(2x)?

I always get stuck after writing out (sin^2x+cos^2x)/sin(x)cos(x)

Answers

[tex]sin^2(\theta)+cos^2(\theta)=1\qquad \qquad sin(2\theta)=2sin(\theta)cos(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]tan(x)+cot(x)=\cfrac{2}{sin(2x)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{doing the left-hand-side}}{\cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)}\implies \cfrac{sin^2(x)+cos^2(x)}{\underset{\textit{using this LCD}}{sin(x)cos(x)}}} \implies \cfrac{1}{sin(x)cos(x)}[/tex]

now, let's recall that anything times 1 is just itself, namely 5*1 =5, 1,000,000 * 1 = 1,000,000, "meow" * 1 = "meow" and so on, so we can write anything as time 1.

let's recall something else, that same/same = 1, so

[tex]\cfrac{cheese}{cheese}\implies \cfrac{spaghetti}{spaghetti}\implies \cfrac{horse}{horse}\implies \cfrac{butter}{butter}\implies \cfrac{25^7}{25^7}=1[/tex]

therefore

[tex]\cfrac{1}{sin(x)cos(x)}\cdot \cfrac{2}{2}\implies \cfrac{2}{2sin(x)cos(x)}\implies \cfrac{2}{sin(2x)}[/tex]

If a = 0.3 and b =0.5, what is the value of a+b?

A. [tex]\frac{8}{10}[/tex]
B. [tex]\frac{8}{9}[/tex]
C. [tex]\frac{80}{99}[/tex]
D. [tex]\frac{88}{100}[/tex]

Answers

Answer=

D

Step-by-step explanation

because of the dot/line at the top of the number it means it is a continuous same number

for example, 0.3 with a dot/line on top means it is 0.333333...

so 0.55...+0.33...=0.88...

and as it is a decimal that is in the range of 1-100 its like a percentage so it is 88/100

D. Because Karen spends $450 on monthly bills. Of this total amount, 12% is for phone service,
1
10
is for Internet service, and
2
9
is for utilities. If the rest of the total amount is for food, how much does Karen have for food?

F r e e points for people that is low on points :)

Answers

Answer:

im not low on points but thank you <3.

Step-by-step explanation:

Answer:

:) :) :) :) :) :) :) :) :) :)

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