Answer:
it would be option C) (x – 10)(x + 2)(x + 6)
Step-by-step explanation:
You have to divide x^3 -2x^2 -68x -120 by x + 2 to get x^2 - 4x -60 and then factor
The factors of the function are (x + 2)(x - 10)(x + 6).
What is a polynomial?Any expression which is formed by using constants, variables, and exponents is polynomial, it is solved with the help of mathematical operators. Polynomial is made by the parts "poly" and "nominal" here "poly" means many and "nomial" means terms.
Given f(-2) = 0
f(x) = x³ - 2x² - 68x - 120 .........(1)
one factor of function is x + 2
divide the function by x + 2
multiply x² by x +2
x²(x + 2) = x³ + 2x²
subtract the term from equation 1 we get,
x³ - 2x² - 68x - 120 - x³ - 2x²
= -4x² - 68x -120 ......(2)
now multiply -4x by x + 2
-4x(x + 2) = -4x² - 8x
subtract the term from equation 2 we get
-4x² - 68x -120 - (-4x² - 8x)
-60x - 120 ........(3)
again multiply -60 by (x + 2)
-60(x + 2) = -60x - 120
subtract from equation 3
-60x - 120 - (-60x - 120) = 0
The quotient we get from the division is,
x² - 4x - 60
here are the factors of x² - 4x - 60 = (x - 10)(x + 6)
Hence, the factors of polynomials are (x + 2)(x - 10)(x + 6).
Learn more about polynomials;
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The sales tax on a used car is $102, and the sales tax rate is %5. Find the purchase price (the price before taxes are added).
Answer:
.04p = 102
p = 2550
The original price is $2550.
Last year, Netanel paid 15% of his earnings in federal taxes. He paid $3000. Jose also paid 15% of his earnings in federal taxes, but he paid $3600. How much more did Jose earn than Netanel?
Total volume of tree?
Answer:
9,000 cubic feet (250 m3) of wood in the branches.
Step-by-step explanation:
3 (-2x + 1)
What does this equal
Answer:
-6x+3
Step-by-step explanation:
The sum of two numbers is 25. Create an equation using two variables that represents this situation.
Answer:
it could be multiple things it depends what its really asking, id say X+11=25
Step-by-step explanation:
X+11=25
X=14
If Shane’s average number of jumps completed is greater than one-half, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?
Answer:4 2/4
Step-by-step explanation:
Hope this helps
Answer:
The 8th Graders.
Step-by-step explanation:
I don't have an explanation but have a good day.
A______ is a value, usually in the form of a letter or symbol, that can change or that represents an unknown quantity.
Answer:
Variable
Step-by-step explanation:
HELPPPPPP!!! PLEASEEE!!!
Given a ⊥ c and b ⊥ c, what can you say about a and b?
A. a ⊥ b, because if two lines are perpendicular to the same line, then they are perpendicular to each other.
B. a and b form a straight line, because if two lines are perpendicular to the same line, then they form a straight line.
C. a and b are intersecting lines because if two lines are perpendicular to the same line, then they are intersecting lines.
D. a || b, because if two lines are perpendicular to the same line, then they are parallel to each other.
Answer:
Answer is B.
Step-by-step explanation:
C is the middle line and A is on one side and B is on the other.
Hope it helps :)
Short Response What is the cost of 15 tomatoes?
HOME GROWN VEGETABLES
Cucumbers 6 for $2
Peppers 12 for $9
Tomatoes 6 for $4
Answer:
60
Step-by-step explanation:
15x4= 60
What is the absolute value of these respective values?
18 and -91
Answer:
|18| and |91|
Step-by-step explanation:
absolute values means that you just take away any negative signs basically
Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.18. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3. Let M denote the event that you will receive a Merit scholarship. Let A denote the event that you will receive an Athletic scholarship. Answer questions 11-15. What is the probability that you will receive a Merit scholarship
Answer:
The probability of obtaining a Merit Scholarship = 0.23
Step-by-step explanation:
From the given information:
The probability of obtaining a merit scholarship P(A) = 0.18
The probability of obtaining both P(A ∩ M) = 0.11
The probability of getting at least one P(A ∪ M) = 0.3
The objective is to determine the probability of obtaining a Merit Scholarship.
So, as given:
if M represents Merit Scholarship and A represent Athletic Scholarship,
the probability of obtaining a Merit Scholarship is as follows;
P(M) = P(A ∪ M) + P(A ∩ M) - P(A)
P(M) = 0.3 + 0.11 - 0.18 = 0.23
P(M) = 0.23
The perimeter of a rectangular room is 60 feet. Let x be the width of the room (in feet) and let y be the length of the room (in feet). Select all of the equations below that could model this situation.
2(x+y)=60
2x+2y=60
x+2y=60
2x+y=60
x+y=60
Answer:
Step-by-step explanation:
2(x+y)=60
2x+2y=60
The second is the same as the 1st but with the distribution
perimeter formula: P=2(W+L)
We can distribute .Then P = 2W+2L
Nick earns 108$ for working 9 hours. Ian earns 77$ for working 7 hours. Ryan earns 92$ for working 8 hours and Justin earns 115$ for working for 10 hours. Who has the highest hourly wage?
(Not mine its my little sister's math test Imao)
WILL GIVE BRAINLYIST!!!
Apples are ____% of the total number of fruits.
Answer:
34%
Step-by-step explanation:
Because out of all ripe fruits is 85% of 5692000.
10 points
3. Austin solved the equation as shown below. Which describes the error
that Austin made in his work?
Austin's Work:
-3 + 7x - 9 + 8x = 54
15x - 6 = 54
15x = 60
x = 4
A. Austin did not combine 7x and 8x correctly.
B. Austin did not combine -3 and -9 correctly.
C. Austin did not divide correctly
D. Austin did not make an error in his work.
Answer:
B. he didn't combine -3 and -9 correctly
The error that Austin made in his work is Austin did not combine -3 and -9 correctly.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that solved the equation -3 + 7x - 9 + 8x = 54 as shown below.
-3 + 7x - 9 + 8x = 54
15x - 6 = 54
15x = 60
x = 4
We need to check where did Austins has done wrong.
-3 + 7x - 9 + 8x = 54
15x-12=54
For Austin while combining -3 and -9 he got -6 which is wrong.
So Austin did not combine -3 and -9 correctly.
Hence, the error that Austin made in his work is Austin did not combine -3 and -9 correctly.
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What is 9/10 divided by 3/4?
Answer:
6/5
Step-by-step explanation:
hi! when dividing fractions, we use the KCF rule, which stands for keep,change,flip. we keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction to its reciprocal. therefore, we now have:
9/10 * 4/3
now, we can multiply the numerators and denominators.
36/30
we can simplify this.
6/5
Given the following dimensions, what is the volume of a block? Length: 7
cm, Width: 3 cm, Height: 4 cm *
63 cubic centimeters
84 cubic centimeters
21 cubic centimeters
12 cubic centimeters
Answer:
84 cubic centimeters
Step-by-step explanation:
L×W×H
What is 6 1/3 - 4 1/9
Answer:
2 2/9
Step-by-step explanation:
6 1/3 - 4 1/9
1/3: 1x3 3x3= 3/9
1/9: 1x1 9x1= 1/9
3/9 - 1/9 = 2/9
6-4=2
Answer: 2 2/9
Help - I need the range for the graph
Answer:
4, 11
Step-by-step explanation:
The lowest y value is 0, the highest value is 11
Does a linear relation exist between age and HDL cholesterol? A. There appears to be a positive linear association because r is positive and greater than the critical value. B. There is little or no evidence of a linear association because r is positive and greater than the critical value. C. There appears to be a negative linear association because r is negative and less than the negative critical value. D. There is little or no evidence of a linear association because the absolute value of r is less than the critical value. More
Answer:
The correct answer is - option D. There is little or no evidence of a linear association because the absolute value of r is less than the critical value.
Step-by-step explanation:
Given:
Age Cholesterol
49 55
27 45
52 40
38 57
44 28
The linear correlation coefficient between age and HDL cholesterol can be computed by the=
r = Cov (X, Y)/ δx.δy
=v∑XY /√∑X2. ∑Y2
rv= negative 0.192
The absolute value of r is less than the critical value so there is no or very little evidence of linear association.
Daria states that the value of the expression –45 x 2 – x + 2.5 is sometimes negative. Which of the following values of x would support Daria’s claim? Select two that apply.
– 5 1/4
1
2.3
– 1.84
Find the common ratio of the geometric sequence 20,80,320,...
Answer:
1:4
Step-by-step explanation:
all of the numbers are being multiplied by 4
Help pleaseeee!!
-4x - 3x^2 + 6 - 9x^2
Answer:
The answer would be -12x^2-4x+6
Step-by-step explanation:
This is the simplest form it could get since you subtract the two x^2 together.
explain why a student who runs 3/4 mile in 6 minutes is faster than a student who runs 1/2 mile in 5 minutes.
Answer:
A student who runs 3/4 mile in 6 minutes is faster than a student who runs 1/2 mile in 5 minutes because when you simplify both fractions to per minute, the student who ran 3/4 mile in 6 minutes (1/8 mile per min) ran faster than the student who ran 1/2 mile in 5 minutes (1/10mile in 1 min).
Step-by-step explanation:
[tex]\frac{3/4mile}{6min}[/tex] divided by 6 to get per min =
1/8 mile per min
Write a quadratic function f whose zeros are 8 and -3.
Answer:
f(x) = x² - 5x - 24
Step-by-step explanation:
Step 1: Define
Roots/zeros = 8, -3
Step 2: Rewrite
x = 8, -3
Step 3: Write quadratic function
Set zeros into factored binomials: (x + 3)(x - 8)Expand: x² - 8x + 3x - 24Combine like terms: x² - 5x - 24Answer:
f(x) = x^2 - 5x - 24.
Step-by-step explanation:
In factor form that would be:
f(x) = (x - 8)(x + 3)
f(x) = x(x + 3) - 8(x + 3)
= x^2 + 3x - 8x - 24
f(x) = x^2 - 5x - 24.
A drag racer accelerated from 0 m/s to 200 m/s in 5 s.what was the acceleration
Answer:
40 m/s/s.
Step-by-step explanation:
Acceleration = velocity / time
= 200 / 5
= 40 m/s/s.
Answer:
a = 40m\s^2
Step-by-step explanation:
acceleration is the change of velocity in a certain time interval, which means that it is equal to ( V final - V initial ) \ t
so acceleration here is ( 200 - 0 ) \ 5
which is equal to: 40 m\s^2 and that means that the racer is speeding up by 40 meters each second
Hope it helps! :)
if the circumference of a circle is 221cm find the area of the circle
Answer:
first find the radius of the circle r^2=221/22/7 then find the area
Answer:
3885.93 cm² or 3886.64 cm²
Step-by-step explanation:
Hello!
Circumference of a Circle: [tex]C = 2\pi r[/tex]
We first have to find the radius. To do so, we can plug in 221 for "C" and isolate "r".
Find the Radius[tex]C = 2\pi r[/tex][tex]221 = 2\pi r[/tex][tex]110.5 = \pi r[/tex][tex]35.1732424233 = r[/tex][tex]r \approx 35.17[/tex]Area of a Circle: [tex]A = \pi r^2[/tex]
Now that we have the radius, we can use it to find the area using the area formula.
Find the Area[tex]A = \pi r^2[/tex][tex]A = \pi (35.17)^2[/tex][tex]A = \pi(1,236.9289)[/tex][tex]A = 3,885.9267452529[/tex][tex]A \approx 3,885.93[/tex]The area is approximately 3885.93 cm².
If we used the full number (all decimals given by the calculator), you would have an answer around 3886.64.
deandre finished a race in 6 minutes. how many seconds is this?
Answer:
360 seconds. 60 seconds in a minute multiplied by 6
Step-by-step explanation:
1 An insurance salesperson earns a 4% commission on every piece of automobile insurance that she writes. What is her commission if she sells a policy that has an $890 premium?
Estandieu's cell phone plan includes 4 GB of data. On the 2nd day of his 31 day billing
cycle he received a text message from his service provider that he has already used
16% of his data. At this rate, will he use more than 4 GB this month?
Answer:78
Step-by-step explanation: