Answers
Answer:
The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).
Step-by-step explanation:
You can see how this factors by looking at the last term, and the coefficient of the second term. You need to find two numbers that multiply to make seven, and add to make eight.
Because seven is a prime number, this becomes very easy. If this works at all, the numbers must be seven and one.
And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use. Let's do it:
x² + 8x + 7
= x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
= (x + 7)(x + 1)
Related Questions
8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?
Answers
Answer:
15 people voted yes and 3 people voted no.
Step-by-step explanation:
Given that:
Ratio of yes to no = 5 : 1
Total number of board members who voted = 18
Let,
x be the number of times.
5x+x = 18
6x = 18
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]
People who voted yes = 5(3) = 15
People who voted no = 3
Hence,
15 people voted yes and 3 people voted no.
1
What California law did the U.S. Supreme Court recently overturn?
A
a law that required minors to stop playing violent video games
B
a law that made it a criminal offense to sell violent video games
С
a law that banned violent video games from all stores in California
D
a law that barred stores from selling violent video games to minors
Answers
Can someone help me?
Answers
Answer:48miles
solution on the picture
if it's helpful ❤❤❤
THANK YOU
x^2+3x+37=-7x
I'm supposed to complete the square but my teacher did not explain it well at all. It would be really great if you showed the steps to get the answer :)
Answers
Answer:
x= -74 or -84
Step-by-step explanation:
x^2+3x+37=-7x
x^2+3x+7x+37=0
x^2+10x+37=0
this convert to following
[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]
-b= -(10), a= 1, c =37
according to that
x= -74 or x= -84
WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP
Answers
Answer:
B
Step-by-step explanation:
The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept
Answer:
A.
Step-by-step explanation:
It starts from 32 on the y-axis and goes up 4 times on x-axis.
NERDS HELP ME !!!!!!!!
Answers
Answer:
63 it's the closest
Step-by-step explanation:
Answer:
the answer is 21 π
Step-by-step explanation:
[tex]V= \pi r^{2} \frac{h}{3}[/tex]
r=3
h=7
7/3 x 3^2 = 21
=21π
X^2+2x+1=4 complete the square
Answers
Answer:
[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]
x= 1 or x= -3 is the right answer.Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?
Answers
Answer:
stage 1 -280
stage 2 -220
stage 3 -160
stage 4 - 100
it takes 6 stages to return to the surface.
Step-by-step explanation:
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet
B
[tex]2\frac{3}{4}[/tex] feet
C
[tex]5\frac{1}{4}[/tex] feet
D
8 feet
Answers
Answer:
A is the answer
Step-by-step explanation:
I think
p(x) = -2x – 2; Find p(-3)
Answers
p(-3)= 6-2
p(-3)= 4
i need to know the answer
Answers
Answer:
A.
Step-by-step explanation:
Combine 7 and -3 to get 4
4+7xy is the answer
Answer:
Yes, you can combine the 7 and the -3. Simplified expression is 4 + 7xy
Step-by-step explanation:
Which inequality is graphed on the coordinate plane?
Answers
Answer:
B
Step-by-step explanation:
The slope is 4/1 which equals 4
the y int is 2
this gives us 4x+2
the line is dotted which mean there is no equal sign with the inequality
The shaded area is above the line, meaning y is greater
PLEASE HELP!!!!! 25 POINTS!!!!!!
Answers
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
In the parallelogram, every two opposite sides are equal in lengthsIn the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21
Does anyone get this?
Answers
The question and possible answer are in the picture thank you!
Answers
Answer:
pretty sure its the first one
Step-by-step explanation:
Explanation:
HELP!!!
Solve for the value of x
-3x - 8 = -20
A. 4
B. 28/3
C. -28/3
D.-4|
Answers
Answer:
A. 4, X = 4
Step-by-step explanation:
-3x - 8 = -20
Move the constant to the right-hand side and change its sign
-3x = -20 + 8
Calculate the sum
-3x + -12
Divide both sides of the equation by -3
x = 4
Solution
x = 4
Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)
Answers
Answer:
Given that you're providing only a single term, asking for a difference doesn't make a lot of sense. I assume you're asking to have the expression simplified?
If so, then it can be reduced to (x - 17) / 3x
Step-by-step explanation:
You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator. Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.
After that you can group the terms into one fraction and simplify:
[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]
Answer:
The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
Step-by-step explanation:
We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
Simplifying to find the difference:
[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
x is common in both 3x and x^2 so, we can cancel it out and we get:
[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]
Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:
[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]
It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.
So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)
Answers
Answer:
Dimes = 35
Quarters = 14
Step-by-step explanation:
Let
quarters = q
Dimes = d
Total coins = 49
There are 2.5 times as many quarters as there are dimes in the bag
Dimes = 2.5q
Quarters + Dimes = Total
q + 2.5q = 49
3.5q = 49
q = 49/3.5
q = 14
d = 2.5q
= 2.5 * 14
= 35
d = 35
Therefore,
Dimes = 35
Quarters = 14
Answer:
The system of equations that models this equation area:
d + q = 49
q = 2.5d
Hurry please! Thank you I really appreciate it :)
Answers
Answer:
5 meters
Step-by-step explanation:
what is 4 × 10^2 in scientific notation?
Answers
Answer:
104 = 10 × 10 × 10 × 10 = 10,000
Step-by-step explanation:
In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"
If Sheila drove 152 km at an average speed of 95 km/h, how much time did her trip take?
(NEED TO SHOW YOUR WORK)
Answers
1.6 hours
152 km total divided by her speed, 95 km/h =1.6
152 divided by 95 equals 1.6 hrs
Hope this helps learned in math class and that is the answer
Pls give me BRAINLIEST
These are from the same question
Answers
Answer:
a. 25%
b. 6.5%
c. 20%
Step-by-step explanation:
A rectangle has a perimeter of 22cm with a length of 10m. What is the width of one side?
Answers
Step-by-step explanation:
We know that
1m = 100cm
according to question
perimeter of rectangle = 2 (l+b)
22cm = 2 (100+b)cm
2×(100+b)cm = 22cm
100+b cm = 22/2cm
100+b cm = 11 cm
b = 100 -11 cm
hence, breadth = 89 cm .thanks for ask question.
How long does it take to travel 100km at a speed of 80 km/h?
Answers
You can kind of tell that, because the units of speed is km/h ( or m/s, or miles/hour — depending on the situation).
Now if you apply your algebra skills, you might discover that
time = distance/speed
Plug in the data:
time = 100 km / (80 km/h)
After application of algebra skills again you can see that the units will simplify to simply h.
time = 1.25 h
helP pls i’ll mark as brainliest if correcttt
Answers
Answer:
answer is 42 in²
:-)))
....
I need some help ? Does anyone know this:)I’m new too this thats why im asking loll
Answers
Answer:
C≈31.42
Step-by-step explanation:
Radius=5 (10 divided by 2)
C=2πr
Brainly plss
On average, 15% of the patients a certain emergency room receives are uninsured. Let N be the number of patients the emergency room receives until it receives the first uninsured patient of the day. Assume the insurance status of the patients is independent. Find the probability that it takes at least 6 patients until the emergency room receives the first uninsured patient. You may round your answer to the nearest hundredth.
Answers
Answer: 0.44
Step-by-step explanation:
Which of the following is the solution set of the given equation?
(x-3)-2(x+6)=5
Answers
Answer:
the answer is x=-20 there you go
Answer: x = - 20 Hope I Helped!!
Step-by-step explanation:
Distribute
Eliminate Redundant Parentheses
Subtract The Numbers
Combine Like Terms
Add 15 to both sides of the equation!!!
write 6.04x10^3 as an ordinary number
Answers
Answer:
6040
Step-by-step explanation:
You can find out in two different ways, either use scientific notation or a calculator. If you go 3 steps to the right (since it's a positive power) you will get 6040. Hope this helped. :)
Answer:
hmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
hmmmmmmmmmmmmmmmmmmmmm
Type the correct answer in the box. Use numerals instead of words. Ryan earned $528 shoveling driveways in the winter and $374 mowing lawns in the spring. He used $216 of the money he earned to buy a new bicycle. How much does Ryan have now? Ryan has $ now.
