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

Help please, ill give 5 stars, and brainly ofc (if correct)

Answers

Answer:

Step-by-step explanation:

part a = 1 x 4

part b = b

Answer:

y=2x+25

the graph is B.

Step-by-step explanation:

Find the equation of the function of the specified type that is the best fit for the given data

Answers

Good luck:) y2x6 :)

3.In the wild, a giant panda bear's diet consists primarily of bamboo, but in a zoo, the diet
includes other foods. On the first two days of the week, the giant panda bear at your zoo eats 34
pounds of highly nutritious biscuits and 37 pounds of bamboo, respectively.
Use inductive reasoning to create two possible sequences that describe the giant panda bear's
daily diet. Write the first five terms of each sequence.
First Sequence:
Second Sequence:
Describe the pattern you used to write each sequence. Which sequence do you think is more
likely? Explain your reasoning.

Answers

The sequence gives the order in which the the different types of foods are

given to the giant panda.

The possible first five terms of the sequences are;

[tex]\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right][/tex]

The sequence that is more likely is the First Sequence

Reasons:

Inductive reasoning is the reasoning based on the given observation

What the giant panda bear at the zoo eats on the first two days of the week are;

First day; 34 pounds of highly nutritious biscuits

Second day; 37 pounds of bamboo

Given that the number of terms in the sequence = 5

By inductive reasoning, we have;

[tex]\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right][/tex]

The pattern used to write the First Sequence is as follows;

Alternating diet of biscuit and bamboo, such that the panda has a balanced diet during the 5 periods of the sequence.

The pattern used to create the Second Sequence is as follow;

Alternating days in which the panda has a mixed diet of biscuit and bamboo, followed by alternating single meal of bamboo and biscuit.

The sequence that is more likely is the First Sequence

The reason why the first sequence is more likely is that it ensures that the panda eats adequate amount of each diet, thereby making the panda healthier, and cleaning the zoo much easier.

Learn more about inductive reasoning here:

https://brainly.com/question/2192957

https://brainly.com/question/12522297

5(x - 2) + x = 6(x -4)

Answers

Answer:

No solution

Step-by-step explanation:

[tex]5(x - 2) + x = 6(x -4)[/tex]

[tex]6x-10=6x-24[/tex]

[tex]6x-10+10=6x-24+10[/tex]

[tex]6x=6x-14[/tex]

[tex]6x-6x=6x-14-6x[/tex]

[tex]0=-14[/tex]

The number sentence 4 × 6 = 6×4 is an example of what property?

Answers

commutative property of multiplication

Answer:

communtitve property of multiplication

help with this please

Answers

Step-by-step explanation:

I cannot do this table nicely here, but it is totally simple : the first number in brackets is the input, the second number the corresponding output.

you can do this easily and faster than in here.

it is not a function, because e.g. the input values -2 and 4 have more than 1 output value assigned (in different offered pairs, sure, but the whole group of ordered pairs defines the relationship).

-2 has 6 and 8

4 has 6 and 15

to be a function, each input value can have only one associated output value.

How do you make a mixed fraction and write it out as a improper fraction?

Answers

Answer:

1) Multiply the whole number part by the fraction's denominator.

2) Add that to the numerator.

3) Then write the result on top of the denominator.

Step-by-step explanation:

Hope this helps!

Answer:

Explanation

|

Step-by-step explanation:

you you multiply the whole number by the denominator and then add the numerator to that number.

Addie bought 9 candy bars and ate 1/2 of them. Frankie bought 6 candy bars and ate 2/3 of them

Answers

Answer:

addie at 4.5 candie bars and frankie had 4

Increase £26 by 30%
Increase £440 by 19%
Decrease £62 by 20%
Decrease £300 by 48%

Answers

Step-by-step explanation:

standard deviation of $3

Find a 98% confidence interval about the mean (one decimal place).

Is a value of X=48 unusually high or is it normal? Choose correct explanation

Express the following as mathematical statements or phrases. 1. Twice the product of the number 2. Seven less than a number 3. The sum of three consecutive numbers 4. The sum f two consecutive even numbers is 42 5. The sum of a number and 5 times its reciprocal 6. Four more than twice a number 7. The square of a number increase by five 8. The sum of two numbers is equal to four more than their difference 9. Rian's age four years from now 10. Clara's age 10 year from now​

Answers

Answer:

See below

Step-by-step explanation:

Let x or y be the variable in each case.

1. Twice the product of the numbers ... x and y (just a guess, its incomplete):

2xy

2. Seven less than a number:

x - 7

3. The sum of three consecutive numbers:

x + (x + 1) + (x + 2)

4. The sum of two consecutive even numbers is 42:

2x + 2x + 2 = 42

5. The sum of a number and 5 times its reciprocal:

x + 5*(1/5)

6. Four more than twice a number:

4 + 2x

7. The square of a number increase by five:

x² + 5

8. The sum of two numbers is equal to four more than their difference:

x + y = 4 + (x - y)

9. Rian's age four years from now:

x + 4

10. Clara's age 10 year from now​:

x + 10

Step-by-step explanation:

1. Let, Number = x

2x

2. Let, Number = x

x - 7

3. Let,

Consecutive numbers = x, x + 1 and x + 2

x + x + 1 + x + 2

3x + 3

4. Let,

Consecutive numbers = a and a + 2

a + a + 2 = 42

2a + 2 = 42

5. Let, Number = x

Reciprocal = 1/x

x + 5/x

6. Let, Number = y

2y + 4

7. Let, Number = y

(x + 8)²

x² + 16x + 64

8. Let,

First number = x

Second number = y

x + y = 4 + (x - y)

9. Let,

Rian's age = y

y + 4

10. Let,

Clara's age = y

y + 10

HELP ME OUT PLEASE!!!

Which function represents the relationship between x and y?

D) y = x - 2

C) y = x + 4

B) y = 2x

A) y = x + 2​

Answers

Answer:

The Answer is "A"

Step-by-step explanation:

x+2=y

What else must you know to prove the triangles congruent by ASA? The image is of a parallelogram ABCD with diagonal AC. Angle DAC and ACB are marked as equal.

Answers

Can’t see the image please post it

find the derivitive of f(x)=(x+9)/(x+1)

Answers

[tex]\dfrac{d}{dx} \left(\dfrac{x+9}{x+1}\right)\\\\\\=\dfrac{(x+1)\dfrac{d}{dx}(x+9) - (x+9) \dfrac{d}{dx}(x+1)}{(x+1)^2}\\\\\\=\dfrac{(x+1) - (x+9)}{(x+1)^2}\\\\\\=\dfrac{x+1-x-9}{(x+1)^2}\\\\\\=-\dfrac{8}{(x+1)^2}[/tex]

Equation 2

T

.

X

-

Show

2(4k + 3) - 13 = 2(18 – k) - 13

Answers

Answer:

Step-by-step

= 2 ( 1 8 − ) − 1 3 -13=2(18-k)-138 + 6 − 1 3

= 2 ( 1 8 − ) − 1 3

Which of the following expressions is equal to the total investment of a no-load mutual fund?
a.
net assets ÷ number of shares
b.
net asset value ÷ number of shares
c.
net asset value x number of shares
d.
offer price x number of shares

Answer is C

Answers

If someone puts no job or social services on their rental application and yet they pay rent on time each month … they’re probably doing something illegal. Here in SoCal, if all they offer are 1099s as a “music producer” or other vague free lance type job, they might be dealers and you as the landlord are held to know that.

Answer:

C. net asset value x number of shares

Step-by-step explanation:

edge 2022

OMG HELP RN I MARK BARINLIST



Which of the following correctly describes the solutions to the inequality?



A.
There are an infinite number of solutions. The solutions are all numbers less than 2.
B.
There are an infinite number of solutions. The solutions are all numbers greater than 2.
C.
There are 7 solutions. The solutions are the numbers between 2 and 8.
D.
There are 4 solutions. The solutions are the numbers between -2 and 1.

Answers

Answer:

B

Step-by-step explanation:

The dot on 2 is an open spot, so 2 isn't part of the solution. the arrow points towards +∞ so, yeah. b

A man buys an article for $600 and sells it for $710. what is his profit or loss

Answers

Answer:

Profit of $110

Step-by-step explanation:

$710-$600=$110

Choose the equation that is modeled by the graph below:

A - y=4x
B - y=−2.33333x+4
C - y=4x−2.33333
D - y=−42.33333x+4

Answers

Answer:

B - y=−2.33333x+4 I think

What is 2-b/3=-5/2

Please explain thoroughly and only explain the 2-step version

Answers

b=11

Multiply both sides of the equation
by 3
6 - b = -5

Move the constant to the right-hand side and change its sign
-b= -5 - 6
Calculate the difference
-b=-11
Change the signs
b=11

Answer:

b = 13.5

Step-by-step explanation:

2 -b/3 = -5/2

im assuming we want to find b. therefore we want b = something. so because b is on top of a fraction right now, I will multiply both sides by 3 so -b is not on top of a fraction anymore.

6 -b = -15/2

we should get rid of the divided by 2 on the other side too, to make it easier. we can do this by multiplying 2 on both sides.

12 - 2b = -15

remember, we want to isolate b. so first we should get rid of the 12 next to the 2b. we can do this by subtracting 12 on both sides!

-2b = -27  

finally, we can divide both sides by -2 and b will be isolated!

b = 13.5

ask me if you have anymore questions!

[tex]dx x-2secx[/tex]

Answers

Answer:

x + 2tan X . sec X / X

Step-by-step explanation:

The derivatives of trigonometric functions is as follows

* d/dx (sin x) = cos x

* d/dx (cos x) = - sin X

* d/dx (tan x) = sec ^2 X

* d/dx (Cot x) = -cosec^2 X

* d/dx (sec x) = tan x . sec x

* d/dx (cosec x) = -cot x . cosec x

and so the derivative of sec is tanx . sec x

d/dx x - sec x

the derivative of variables is considered 1.

since we remove 1 from their exponent they'll have 0 as their exponent which can only mean the end value is 1.

so d/dx of X is = 1

d/dx od -sec X is = -tan X . Sec X based on the general derivative properties above.

in conclusion the final answer is = x + 2tan X . sec X / X

Write the equation of the parabola that has the vertex at point
(−2, 5.5) and passes through the point (−2.5, 2.5).

Answers

Answer:

-12x²-48x-42.5

Step-by-step explanation:

I need help with 7c please

Answers

Answer:

mx x 2 x1dadqd

Step-by-step explanation:

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )

Answers

36 / k+3 = 44 / k+5

crossmultiply:
44k + 132 = 36k + 180
8k = 48
k = 6

? / 6 = 44 / 11
? / 6 = 4 / 1

cross multiply:
? = 24

Answer:

k=6

?=24

Step-by-step explanation:

[tex] \frac{ln}{xz} = \frac{nm}{zy} = \frac{lm}{xy} [/tex]

[tex] \frac{36}{k + 3} = \frac{44}{k + 5} [/tex]

Now we just cross multiply

44(k+3)=36(k+5)

44k+132=36k+180

Take k-values to one side

44k-36k=180-132

8k=48

k=6

Now we can use k to find ?

[tex] \frac{44}{6 + 5} = \frac{36}{6 + 3} = \frac{?}{6} [/tex]

once simplified we get:

[tex] \frac{44}{11} = \frac{36}{9} = \frac{?}{6} [/tex]

[tex]4 = 4 = \frac{?}{6} [/tex]

in essence we know that:

[tex] \frac{4}{1} = \frac{?}{6} [/tex]

so we can cross multiply:

?=24

I SWEAR IF I GET ANOTHER LINK I WILL SCREAM Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you?




A. Three fourths of the fish he caught were larger than 22 pounds.

B. The average weight of the fish he caught was 40 pounds.

C. Three fourths of the fish he caught were less than 22 pounds.

D. The largest fish he caught was 63 pounds.

Answers

Answer:

C. Three fourths of the fish he caught were less than 22 pounds.

Step-by-step explanation:

Hope it helps! At least you didn't scream Imao

Answer:

C

Step-by-step explanation:

i answered so the other person gets the brainliest they deserve!

PLEASE HELP I HAVE A TIME LIMIT ON THIS!!

Answers

You haven’t shown us the options, but it will be anything where there is 4x

If y is not on its own, then the coefficient (the number before the letter) of x should be 4 times bigger than the coefficient of y

20points
Which represents the restrictions on the radical inequality

Answers

The second i think you did good

Answer:

The answer is 2x>0 is the final answer. The last one.

Step-by-step explanation:

It is greater.

Given f '(x) = (2 - x)(6 - x), determine the intervals on which f(x) is increasing or decreasing. (2 points)
Decreasing (-∞, 2); increasing on (6, ∞)
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Decreasing (-∞, 2) U (6, ∞); increasing on (2, 6)
Increasing (-∞, -2) U (-6, ∞); increasing on (-2, -6)

Answers

Answer:

Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)

Step-by-step explanation:

To determine where [tex]f(x)[/tex] is increasing or decreasing, we set [tex]f'(x)=0[/tex] and check for the intervals.

We see that [tex]f'(x)=0[/tex] when either [tex]x=2[/tex] or [tex]x=6[/tex]. Therefore, we'll need to check the intervals [tex](-\infty,2)[/tex], [tex](2,6)[/tex], and [tex](6,\infty)[/tex]

For the interval [tex](\infty,2)[/tex], we can pick [tex]x=0[/tex] . This means that[tex]f'(0)=(2-0)(6-0)=(2)(6)=12>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](-\infty,2)[/tex]

For the interval [tex](2,6)[/tex], we can pick [tex]x=4[/tex]. This means that [tex]f'(4)=(2-4)(6-4)=(-2)(2)=-4<0[/tex], showing that [tex]f(x)[/tex] decreases on the interval [tex](2,6)[/tex]

For the interval [tex](6,\infty)[/tex], we can pick [tex]x=7[/tex]. This means that [tex]f'(7)=(2-7)(6-7)=(-5)(-1)=5>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](6,\infty)[/tex]

Therefore, [tex]f(x)[/tex] is increasing on [tex](-\infty,2)\cup(6,\infty)[/tex] and is decreasing on [tex](2,6)[/tex].

If f(x) =3x^3+10x^2-13x-20 and f(-4)=0, then find all of the zeros of f(x) algebraically

Answers

Answer:

If f(x) =3x^3+10x^2-13x-20 and f(-4)=0, then find all of the zeros of f(x) algebraically

After eating 75% of the chocolates in a box, Dev found 6 chocolates remaining. How many chocolates were there in the box originally?

Answers

Answer:

24

Step-by-step explanation:

Let total number of the chocolates be x.

25% of x = 6 (because 100 - 75 = 25% of chocolates left).

25/100 x x = 6

x = 600/25

x = 24

Hence, 24 is the total amount of chocolates.

Hope it helps :)

Use the Pythagorean Theorem to find the distance, to the nearest tenth, between F(9,5) and G(-2, 2).​

Answers

Answer:

Step-by-step explanation:

d = √((9 -(-2))² + (5 - 2)²)

d = √(11² + 3²)

d = √130

d = 11.401754250...

d = 11.4 units

Answer:

11.4 to the nearest tenth.

Step-by-step explanation:

Distance = sqrt((5-2)^2 + (9-(-2))^2)

= sqrt(3^2 + 11^2)

= sqrt 130

= 11.402

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