Answers
Answer: The two factors are x+7 and x+2
The polynomial factors to (x+7)(x+2)
=========================================================
Explanation:
In the upper left corner we have x^2. We get this by multiplying x with x
So,
x*x = x^2
This means you'll have x to the left of x^2, and another copy of x above the x^2. These new terms are outside the box.
Now ask yourself, what goes in the blank x times ___ = 7x. The answer must be "7" since x times 7 = 7x. So we'll write 7 above the 7x, outside the box. Up top, the x and 7 help form the factor (x+7)
Along the left side, the other factor is (x+2) for similar reasoning. Notice how we effectively have x times ___ = 2x and '2' must go in the blank. So a '2' must go to the left of the 2x.
Putting everything together, the two factors are (x+7) and (x+2).
Therefore, x^2+7x+2x+14 fully factors to (x+7)(x+2)
This is the same as saying x^2+9x+14 factors to (x+7)(x+2)
The order of multiplication doesn't matter.
Related Questions
What type of function is represented by the table, and for what reason?
A.
linear, because the X values increase at a constant rate
B. Linear, because the graph of the points makes a line
C.
exponential, because the Y values for success of Integer values of eggs have a common ratio of four
D.
exponential, because the Y values for successive Integer values of X have a common ratio of 16
Answers
Answer:
D.
Step-by-step explanation:
Based on the attached picture we can say that function representing these values would be exponential because the Y values for successive Integer values of X have a common ratio of 16. This can be proven by multiplying each one of the y values by 16, which would give us the next y value in the successive set. For example,
2.5 * 16 = 40
40 * 16 = 640
640 * 16 = 10,240
Meaning that the values have a common ratio of 16, and are increasing exponentially.
(accounting)
What type of account is almost always included in all journal entries for banking activities?
A. Cash
B. expense
C. accounts payable
D. accounts receivable
Answers
Answer:
b
Step-by-step explanation:
expense is usually done everywhere.
Answer:
A
Step-by-step explanation:
Cash
Jasmine is getting a new playground in her backyard she graphed them playground area on the coordinate grid shown blow Each square on the diagram represents 1 square foot.what is the area of the playground
Answers
Answer:
c=72
Step-by-step explanation:
7x8=56
4x8/2=16
56+16=72
Write the ratio 1:8 : 4:2 in its simplest form
Answers
Answer:
1/8 and 2/1 or 1:8 and 2:1
Step-by-step explanation:
PLEASE HELP.
Select the correct answer.
Solve the system of equations below.
5x + 2y = 9
2x - 3y = 15
Answers
Answer:
(3, -3)
Step-by-step explanation:
To solve for a system of equations, use substitution.
First, solve for one variable in an equation.
2x - 3y = 15
Add 3y to both sides.
2x = 3y + 15
Divide both sides by 2 to get x by itself.
x = 1.5y + 7.5
Put this in the other equation.
5x + 2y = 9
Substitute the variable.
5(1.5y + 7.5) + 2y = 9
Distribute the 5 inside the 1.5y + 7.5.
7.5y + 37.5 + 2y = 9
Combine like terms.
9.5y + 37.5 = 9
Subtract 37.5 from both sides.
9.5y = -28.5
Divide both sides by 9.5.
y = -3.
Now take this value and put it in the other equation to get your x.
2x - 3y = 15
Substitute variable.
2x - 3(-3) = 15
Multiply.
2x + 9 = 15
Subtract 9 from both sides.
2x = 6
Divide both sides by 2.
x = 3.
Your pair is (3, -3).
what percent of 4$ is 60 cents
no links
Answers
Answer:
15%
Step-by-step explanation:
You kind of have two ways to do this:
Way 1:
Find how many 60 cents fit into $4. To do that, divide $4 by $0.60 or 400 by 60. You get 6.66666667.
You can divide 100 by 6.66666667, and get 15%,
Way 2:
Knowing that 400 cents is 100%, you can divide 60 by the same number that you divide 400 by to get to 100. To get from 400 to 100, you divide by 4, so divide 60 by 4 and get the same answer, 15%
Hope that helps :)
Triangle ABC has vertices located at A(1, -4), B(4, -6) and C(2, -1) on a coordinate grid. After it is reflected across the y-axis and a dilation of ½ is applied, what is the new coordinate of B? A. (4,6) B. (8,12) C. (2,3) D (-2, -3)
Answers
Answer:
[tex]B' = (-2,-3)[/tex]
Step-by-step explanation:
Given
[tex]A = (1,-4)[/tex]
[tex]B = (4,-6)[/tex]
[tex]C = (2,-1)[/tex]
reflection across y
[tex]d = \frac{1}{2}[/tex]
Required
New coordinate of B
When reflected across the y-axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So:
[tex](4,-6) \to (-4,-6)[/tex]
Next is a dilation by 1/2
To do this, we multiply the new point by 1/2
So:
[tex]B' = (-4,-6) * \frac{1}{2}[/tex]
[tex]B' = (-4* \frac{1}{2},-6* \frac{1}{2})[/tex]
[tex]B' = (-2,-3)[/tex]
Which expression is not equal to 28? A. ( 9 + 25 ÷ 5 ) × 2 B ( 13 − 4 × 2 ) − 1 ] × 7
C. 42 ÷ 6 + 28 ÷ 4 D. 7 × [ 8 − ( 12 − 4 × 2 ) ]
Answers
Answer:
the answer is C
Step-by-step explanation:
Two friends Ana and Juan are buying books by joining the History Book
Club.
Ana has to pay a yearly fee of $15 to join. She spends a total of $525 for 30
books. How much was the price per book on average?
Juan has to pay a yearly fee of $10 to join. He spends a total of $350 for 23
books. How much was the price per book on average?
Write a function for Ana and Juan each to model the scenario to figure out
the total cost per book. Who has the better deal? Ana or Juan? Why?
Answers
Answer:
Ana spent $17 per book on average.
Juan spent $14.78 per book on average.
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Step-by-step explanation:
Ana has to pay a yearly fee of $15 to join.
She spends a total of $525 for 30 books.
The amount spent on books = Total amount - yearly fee
= $525- $15= $510
Price per book on the average = $510/30= $ 17
Ana spent $17 per book on average.
Juan has to pay a yearly fee of $10 to join.
He spends a total of $350 for 23 books.
The amount spent on books = Total amount - yearly fee
= $350- $10= $340
Price per book on the average = $340/23= $ 14.78≅ $15
Juan spent $14.78 per book on average.
The function can be established if y gives the total cost and x gives the number of books
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Juan has a better deal because the yearly fee is less also the price per book is less.
Please help me with this
Answers
Answer:
216in
Step-by-step explanation:
6 + 8 + 10 = 24
24 * 9 = 216
Taylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 14 full sheets. How many doghouses can Taylor make from 12 bundles of plywood?
Answers
Answer:
Step-by-step explanation:
taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?
which table represents a function? iready end of year test ! please help!! quick
Answers
Answer:
top left
Step-by-step explanation:
a function is if there is only one number that isnt the same as the other x
3. Find the surface area of the square pyramid.
plzzz helppp i will give brainliest
Answers
Answer:
Hello! answer: 105
Step-by-step explanation:
When doing these for squares you have to do base × height and for triangles you do base × height ÷ 2 So Lets do the triangles sense there more complex so we can get them out of the way. The base for the triangles our 5 and the height is 8 so we will do 5 × 8 = 40 now we will just divide that by 2 so 40 ÷ 2 = 20 now sense we have four identical triangles we will just multiply 20 by 4 so 20 × 4 = 80 now for the 1 in the middle its nice and simple just 5 × 5 so 5 × 5 = 25 now we just add 80 + 25 and 80 + 25 = 105 So 105 is the area! Hope that helps!
Can someone explain to me how to do this?
Answers
In a survey about pet ownership,
38% have a pet now and have had a pet;
62% do not have a pet now;
84% have had a pet;
14% do not have a pet now and have never had a pet.
Find the probability that someone has never had a pet,
given that the person does not have a pet now.
(Please answer ASAP)
Answers
Answer:
22.6%
Step-by-step explanation:
1. 14% do not have a pet now and have never had a pet & 62% do not have a pet now.
2. 0.14/0.62
3. Divide = .2258
4. Multiply by 100 = 22.58
5. Round = 22.6%
I hope this helps! Have a wonderful day!
please help
marking brainlist
Answers
Answer:
270,000,000,000
Step-by-step explanation:
I need help correct answer will get brainliest.
Answers
Answer:
2.85125 is the answer.
Step-by-step explanation:
according to the calculator
Answer:
2.75124851367
Step-by-step explanation:
8/8.41=951248513674+1.8=2.75124851367 so its 2.75124851367
Express the series using sigma notation.
4 + 16 + 64 + 256 + 1,024
Answers
Answer:
EASSYYY
Step-by-step explanation:
1364
The series using sigma notation is [tex]^5\sum_{n=1}=4(4)^{n-1}[/tex]. Therefore, option A is the correct answer.
What is the sum of the infinite series formula?The general formula for finding the sum of an infinite geometric series is S=a/r-1, where s is the sum, a1 is the first term of the series, and r is the common ratio.
Given that, sum = 4 + 16 + 64 + 256 + 1024
Using sigma notation, this can be expressed as:
[tex]^5\sum_{n=1}=4(4)^{n-1}[/tex]
Therefore, option A is the correct answer.
Learn more about the sum of the infinite series here:
brainly.com/question/11752555.
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A group of friends wants to go to the amusement park. They have $387.75 to spend on parking and admission. Parking is $5.50, and tickets cost $34.75 per person, including tax. How many people can go to the amusement park?
Answers
Answer:
Step 1:
Subtract $19 from total
366.50 - 19 = 347.5
Step 2:
Divide this total by the ticket price
347.50 / 34.75 = 10
Step 3:
You have your answer
10 people can go to the amusement park
Answer:
as many as 11 people
Step-by-step explanation:
n = # of people
5.50 + 34.75n ≤ 387.75
subtract 5.5 from each side to get:
34.75n ≤ 382.25
divide each side by 34.75
n ≤ 11
The circumference of a circle is 28. Contained in that circle is a smaller circle with area 36π. A point is selected at random from inside the large circle. What is the probability the point also lies in the smaller circle?
Answers
Answer:
[tex]Pr = \frac{9}{49}[/tex]
Step-by-step explanation:
Given
[tex]d = 28[/tex] --- big circle
[tex]A_2 = 36 \pi[/tex] --- area of small circle
Required
Probability that a point selected lands on the small circle
Calculate the area of the big circle using;
[tex]A_1 = \pi r^2[/tex]
Where
[tex]r = d/2[/tex]
So, we have:
[tex]r = 28/2 = 14[/tex]
This gives:
[tex]A_1 = \pi * 14^2[/tex]
[tex]A_1 = \pi * 196[/tex]
[tex]A_1 = 196\pi[/tex]
The probability that a point selected lands on the small circle is calculated by dividing the area of the small cicle by the big circle
This gives:
[tex]Pr = \frac{36\pi}{196\pi}[/tex]
[tex]Pr = \frac{36}{196}[/tex]
Simplify
[tex]Pr = \frac{9}{49}[/tex]
Urgent!
On a math test, a group of students received the following scores:
68, 98, 86, 75, 86, 94, 75, 81, 75
Find the MODE of the test scores.
Answers
Answer:
The mode is 75
Step-by-step explanation: It is the one that appears most often
Write the point-slope form of the equation of the line through the given points,
3) through: (3, ) and (0,4)
4) through: (0.-1) and (2,5)
Please no downloads!!
Answers
Answer:
The equation of a line in point-slope form is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣aay−y1=m(x−x1)aa∣∣−−−−−−−−−−−−−−−−−−−−−−
where m represents the slope and (x1,y1) a point on the line.
To calculate the slope use the gradient formula
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣∣aam=y2−y1x2−x1aa∣∣∣−−−−−−−−−−−−−−−−−
where (x1,y1) and (x2,y2) are 2 coordinate points.
here the 2 points are (-3 ,4) and (0 ,3)
let (x1,y1)=(−3,4) and (x2,y2)=(0,3)
⇒m=3−40+3
Step-by-step explanation:
this is guid to answer that hope it help to you mahar
Write a formula for r in terms of θ for the following figure.
Answers
What is the perimeter of a rectangle whose vertices are (2,7) (8,7) (211) (8,11)?
A) 24
b) 12
c)32
d) 40
e) 20
Answers
Answer:
e) 20
Step-by-step explanation:
Segment lengths:
|(2, 7) -> (8, 7)| = |(8-2, 7-7)| = |(6, 0)| = 6
|(8, 7) -? (8, 11)| = |(8-8, 11-7)| = |(0, 4)| = 4
because we know it's a rectangle, we can infer that the other two sides also have lengths 4 and 6, so the perimeter is 4+4+6+6=20
Two people together can do a certain job in twenty minutes.If one of them can do the job alone in forty-five minutes, how long will the other person take to do the job alone?
Answers
36 minutes
Step-by-step explanation:
Going through the question in bits:
i. Two people together can do a certain job in 20 minutes.
This implies that the time taken to finish the job is 20 minutes.
This also means that in 1 minute, they will do [tex]\frac{1}{20}[/tex] of the job i.e the rate at which the job is done by the two of them is [tex]\frac{1}{20}[/tex]
ii. If one of them can do the job in 45 minutes.
This implies that the time taken by one of them to finish the job is 45 minutes.
This also means that in 1 minute, he will do [tex]\frac{1}{45}[/tex] of the job. i.e the rate at which the job is done by one of them is [tex]\frac{1}{45}[/tex]
iii. let the other person do the job in x minutes.
This implies that the time take by the other person to finish the job is x minutes.
This also means that in 1 minute, he will do [tex]\frac{1}{x}[/tex] of the job. i.e the rate at which the job is done by the other person is [tex]\frac{1}{x}[/tex]
Now,
The rate by which the job will be done by the two of them combined is the sum of the individual rates.
i.e
[tex]\frac{1}{20}[/tex] = [tex]\frac{1}{45}[/tex] + [tex]\frac{1}{x}[/tex]
Multiply through by 90x and solve
(90x * [tex]\frac{1}{20}[/tex]) = (90x * [tex]\frac{1}{45}[/tex]) + (90x * [tex]\frac{1}{x}[/tex])
4.5x = 2x + 90
4.5x - 2x = 90
2.5x = 90
x = [tex]\frac{90}{2.5}[/tex]
x = 36
Therefore it will take the other person 36 minutes to finish the job.
is (6,-1 ) a solution to this system of inequalities?
y<x+2
y>3-2x
Answers
Answer:
Yes
Step-by-step explanation:
-1 < 6 + 2 True
-1 > 3 - 2(6)
-1 > 3 - 12
-1 > -9 True
I need the answer for this, please help!
Answers
Answer:
about 66 or 64
Step-by-step explanation:
Josh wrote 483 out of an expected 500 words from his essay. How would this ratio be
expressed in decimal form?
Answers
Answer:
0.966
Step-by-step explanation:
483:500 = 0.966
i hope this is right x
The required ratio would be 0.966 which is expressed in decimal form.
What is the Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Josh wrote 483 out of an expected 500 words from his essay which is given in the question.
According to the given information, the ratio would be written as:
⇒ 483 : 500
⇒ 483 / 500
Apply the division operation, and we get
⇒ 0.966
Therefore, the required ratio would be 0.966 which is expressed in decimal form.
Learn more about the Ratios here:
brainly.com/question/1504221
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Laura is making a small sign in the shape of a triangle for her store. She wants the height of the triangle to be 4 inches. The area of the sign must be less than 14 square inches. (Laura doesn't want to buy more material.) Write an inequality that describes the possible base lengths (in inches) of the triangle.
Answers
Answer:
{1/2 (b)(h) = Area of a triangle}
1/2(b)(4) < 14
2b<14
B<7 in
A store is having a sale on jelly beans and almonds for 3 pounds of jellybeans in 2 pounds of almonds the total cost is $10 for 5 pounds of jellybeans in 6 pounds of almonds the total cost is $24 find the cost of each pound of jellybeans and each pound of almonds
Answers
Answer:
each lb of jellybeans = $1.50
each lb of almonds = $2.75
Step-by-step explanation:
let j = jellybean cost for each pound
let a = almond cost for each pound
3j + 2a = 10
5j + 6a = 24
Using elimination method:
15j + 10a =50
15j + 18a = 72
------------------------
-8a = -22
a = 2.75
using 3j + 2a = 10
3j + 2(2.75) = 10
3j + 5.5 = 10
3j = 4.5
j = 1.5