Answers
Answer:
STEP
1
:
Equation at the end of step 1
((3 • (x3)) - 32x2) - 12x = 0
STEP
2
:
Equation at the end of step
2
:
(3x3 - 32x2) - 12x = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)
Trying to factor by splitting the middle term
4.2 Factoring x2 - 3x - 4
The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization
Equation at the end of step
4
:
3x • (x + 1) • (x - 4) = 0
STEP
5
:
Theory - Roots of a product
5.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Step-by-step explanation:
I hope this helps
Related Questions
21 is what percentage of 30?
Answers
Answer:
.7
Step-by-step explanation:
30/.7 is 21
Answer:
.7
Step-by-step explanation:
21/30=.7
Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. Students Who Feel More Focused after Exercise 20% 20% 20% 20% 20% How many students said they feel more focused after exercising?Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. Students Who Feel More Focused after Exercise 20% 20% 20% 20% 20% How many students said they feel more focused after exercising?
Answers
Answer:760
Step-by-step explanation:
Answer:
760
Step-by-step explanation:
nathan packs 25 boxes in 2 hours how many can he pack in 30 min shfit
Answers
Answer: 6
Step-by-step explanation:
30 minutes is a quarter of 2 hours, so if he can pack 25 boxes in 2 hours, he can pack a quarter of that in 30 minutes. A quarter of 25 is 6.25 cant pack half a box, it’s a whole box or nothing. So you round down to 6 boxes. 6 boxes is your answer.
The area of a square is equal to (n2-14n +49) square units. Find the binomial
that represents the length of the sides of the square?
Answers
Help, please
Giving you 39 points!!
Answers
Answer:
n = 10
Step-by-step explanation:
The triangles are equal by SSS theorem, therefore the 2 angles given with a variable must be equal.
Help me I’m being desperate
Answers
Answer:
All you have to do is graph them.
Step-by-step explanation:
For example, the x axis is on the bottom and the y axis is on the left side. You take the 4 and start from the bottom, then move up 3 times, then place your dot. (4,3)
Then continue with the rest and draw a line through each of your dots. Let me know if you need more help! I left a picture of the first one to give you an example of what it should look like
is 800 cm greater than 8 cm
Answers
Answer:
100
Step-by-step explanation:
The equation = ( + ) can be used to calculate the distance, , traveled by a body moving with a stv0atsuniform acceleration, , in time, , where is the initial velocity of the body. The steps to solve the equation atv0for are:v0Step 1: = + v0atStep 2: − = atv0Which properties are applied to obtain step 1 and step 2?multiplication property of equality and subtraction property of equality
(A) division property of equality and addition property of equality
(B) multiplication property of equality and addition property of equality.
(C) division property of equality and subtraction property of equality
Answers
RIGHT ! Somebody help
What is the slope intercept form of this line?
Answers
Answer:
the desired equation is y = (-3/4)x + 7
Step-by-step explanation:
If you start at (0, 7) and move along the line to (4, 4), you'll see that x increases by 4 (this is the 'run') and y decreases by 3 (this is the 'rise'). Thus, the slope of this line is m = rise/run = -3/4.
Let's use this m = -3/4 and the point (0, 7) to write the equation of this line.
(0, 7) is actually the y-intercept.
Thus, the desired equation is y = (-3/4)x + 7.
Integrated math 2 NEED HELP ASAP
Answers
Answer:
56
Step-by-step explanation:
Since the 2 triangles are congruent, the ratio of their sides are also equal. Therefore, we can set up an equation:
[tex]\frac{10}{16}=\frac{3x+2}{5x+1}\\\frac{5}{8}=\frac{3x+2}{5x+1}\\5(5x+1)=8(3x+2)\\25x+5=24x+16\\x=11[/tex]
Now that we know x, we can plug in x as 11 into the expression of DE to solve for DE:
5*11+1
=56
Determine the slopes from the given info
A line with the equation y= -2
Answers
Answer:
Slope is 0
Step-by-step explanation:
Answer:
The slope is zero if the line which the equation y=-2
How do you understand
% ahh!!!
Answers
Answer:
what
Step-by-step explanation:
Pls help will give brainliest answer!!
Answers
Answer:
The answer is B
Step-by-step explanation:
Laura works in a furniture store. She earns $160 a week plus 6% of all sales over $2,000. One week in January, Laura’s total sales were $9,400. What were Laura’s earnings for that week?
Answers
$9,400 * 0.06 = $564
$564 + $160 = $724.00
Laura’s earnings for that week were $724.00.
Answer: $604.00
Step-by-step explanation:
The other answers are paying commission on the whole amount of sales. The question says she earns 6% commission on all sales over $2,000. This would mean she earns commission on $7,400 ($9,400 - $2,000).
$7,400 X 0.06 = $444.00 in commission.
$444.00 + $160 (weekly pay) = $604.00 total earned
Unless I am missing something or just completely having a brain cluster...Please tell me if I am wrong...
What is an equation of the line that passes through the points (8, 2) and (-4,5)? Put your answer in fully reduced form.
Answers
Answer:
y = -1/4x + 4
Triangle FUN, with vertices F(−2, 4), U(0, −5), and N(−3, −8) was dilated to form triangle PET with vertices P(−1.6, 3.2), E(0, −4), and T(−2.4, −6.4).Which scale factor was used? A. 1.25
B. −1
C. 2/3
D. 0.8
Suppose these statements about two triangles are
true:∠G=∠S,∠R=∠,and ∠M=∠N. Which statement is correct? Select all that apply.
A.The sides are congruent.
B.The sides are proportional.
C. ΔGRM is similar to ΔNST
D. ΔMGR is similar to ΔNST
Answers
Answer:
For first question answer is D.0.8
For second question answer is D.ΔMGR is similar to ΔNST.
Step-by-step explanation:
Here triangle FUN is dilated to get triangle PET
So, let's take F and P.
F(-2,4) and P(-1.6, 3.2)
Let's find the scale factor by dividing the coordinates.
Scale factor =[tex]\frac{-1.6}{-2} =0.8[/tex]
Using y coordinates of the same points
Scale factor =[tex]\frac{3.2}{4} =0.8[/tex]
So, scale factor is 0.8
Now, for the second problem
<G= <S
<R= <T
<M=<N
So, the corresponding angles are congruent when two triangles similar.
So, we can say ΔMGR is similar to ΔNST.
Who know this for my other math these plz
Answers
Answer:
7. c
8. d
9. c
10. c
11. b
12. d
13. c
Answer:
7. C: 80
8. D: 100
9. C: 80
Step-by-step explanation:
each line equals 180
where H is at, has a 100 above it.
that equals one angle, which is 100. That line has 2 angles at equal 100 since they are one opposite sides of each other.
you subtract 180-100= 80. That's where you get ur 80 angle from. Hope this helps, I'm bad at explaining stuff
If 3 pairs of socks cost $12, how much do 5 pairs of socks cost?
Answers
Answer:
20
Step-by-step explanation:
because 12 divided by 3 is 4 then you do 4x5
Find an equation for the line with slope m=4/7 and which goes through the point (21,-7)
Answers
Answer:
y=4/7x-19
Step-by-step explanation:
So the equation is :
y-[tex]y^{1}[/tex]=m(x-[tex]x^{1}[/tex])
m= slope
y+7=4/7(x-21)
y=4/7x-19
HOPE I helped :D
Blueberries cost $4.00 per pound.
1. How many pounds of blueberries can you buy for $1.00?
Answers
Answer:
1/4 of a pound
Step-by-step explanation:
Because if 1 pound costs 4 dollars then you want to buy some blueberries for 1 dollar, you split the blueberries into fourths
What trait do animals and protists have in common? A. both animals and protists are sometimes made up of many cells B. both animals and protists have cells with a nucleus C. neither animals nor protists can make their own food
(Pls answer I’ll mark brainliest
Answers
Protozoa are protists that resemble animals. Single-celled eukaryotes called protozoa have several characteristics in common with animals, both animals and protists have cells with a nucleus, hence option B is correct.
What is eukaryotes?Eukaryota is a varied domain of creatures whose cells have a nucleus, and its members are referred to as eukaryotes. Eukaryotes include all animals, all plants, all fungi, and many unicellular creatures.
They, along with the two categories of prokaryotes, the bacteria and the archaea, make up a significant group of living organism.
A eukaryotic organism that isn't an animal, a plant, or a fungus is considered a protist. Protists do not constitute a natural group, or clade, despite the likelihood that they have a common ancestor with other eukaryotes.
Therefore, option B is correct.
Learn more about eukaryotes, here:
https://brainly.com/question/6663522
#SPJ2
At the beginning of the season, a golf coach buys 118 sleeves of golf balls. Each sleeve costs $8.
Which best explains if it is better to overestimate or underestimate the amount of money the coach needs to buy the golf balls?
A. It is better to overestimate to make sure the coach has enough money to buy the golf balls.
B. It is better to overestimate so the coach can buy more golf balls than he originally plans.
C.It is better to underestimate so the coach knows exactly how much money he needs to buy the golf balls
D. It is better to underestimate to make sure the coach dose not spend more money than he wants to on golf balls
Answers
Answer:
The answer to this problem is A
Step-by-step explanation:
it is better to over estimiate so that he dosent need more money when he goes to buy the gold balls.
Im available on Mondays to Thursdays during 8:00 A.M to 4:00 P.M
--Priya
Sally is making a scale drawing of her apartment.
• She drew a line measuring 1 1/2 inches to represent the 12-foot width of her living room.
• The length of her living room is 18 feet.
How long a line should Sally draw to represent the length of her living room?
A. 2 inches
B. 2 1/4 inches
C. 2 1/2 inches
D. 3 inches
Answers
We know that 1 1/2 is 12 foot
So we divide it by 2 so we know every 6 feet how long is it so we will get 0.75 for each 6 feet.
Now we divide 18ft by 3. We will have three sixs
Now multiple 0.75 by 3 = 2.25 which means the answer is B
And I attached a photo down so that helps more.
The formula to convert temperature measurements from degrees Fahrenheit (F) to degrees Celsius (C) is shown below.
C = 5/9(F - 32)
What is the Celsius equivalent of 90 degrees Fahrenheit? Round the answer to the nearest degree.
A. 16
B. 32
C. 64
D. 88
Answers
I could be wrong
Simplify the following equations please:)
1. 2n - 4 + 6n
2. -15 + 9m
3. 19a - 7 - 3a + 12a
4. 6(x - 3) + ( 2x - 9)
5. (3x + 8) - 6 (2.5x - 3)
Answers
Answer:
1. n = 1/2
2. m = 5/3 or 1 2/3
3. a = 1/4
4. x = 27/8
5. x = 13/6
Step-by-step explanation:
I'm just going to explain step 5 as that is what you specifically needed help with.
First, simplify the second term of the equation:
-6(2.5x-3)
= -15x + 18
(this was done by multiplying -6*2.5x which is 15x and -6(-3) which is 18)
Now, add this simplified second term back to the first term:
3x + 8 - 15x + 18
(the parentheses are unnecessary now because it is all just addition and subtraction, so the order doesn't matter)
Simplify:
-12x + 26 = 0
= -12x = -26
= x = -26/-12
= x = 13/6
Miss Bloom's 5 $45.30 on art supplies if she turns 7% tax how much total money did she spend
Answers
Answer:
l
Step-by-step explanation:
Answer:
Miss Bloom spent $48.47 in total
Step-by-step explanation:
turn 7% into a decimal --> 0.07
multiply the cost of art supplies by the tax % (in decimal form)
45.30(0.07) = 3.171
add 3.171 to the original cost of art supplies
45.30 + 3.171 = 48.471
round to the nearest hundreths place (since money typically only has 2 decimal places)
48.471 --> 48.47
therefore, miss bloom spent $48.47 in total
if k = -3 what is the value of k + (2k - 10) ?
A. –19
B. –7
C. 1
D. –14
Answers
Answer:
A
Step-by-step explanation:
We have the expression [tex]k+(2k-10)[/tex]
We want to find the value when k is -3. So, substitute -3 for k and evaluate:
[tex]\Rightarrow (-3)+(2(-3)-10)[/tex]
Multiply:
[tex]=-3+(-6-10)[/tex]
Subtract:
[tex]=-3+(-16)[/tex]
Add:
[tex]=-19[/tex]
Therefore, our answer is A.
The number can be best described as a(n)
Answers
Answer:
Fraction
Step-by-step explanation:
(8r-5)+(-7r-8)
what is the answer
Answers
A basketball player is 90 inches tall. A model is created of the player using a scale factor of 1:20. How tall is the model in inches?
Answers
Answer:
4.5
Step-by-step explanation:
Answer:
The answer is 1:16
