The factor of the provided polynomial after the factorization process are similar to option C, (x+7)(x²-2)
How to find the factor of polynomial?The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.
Find these factors by taking out the common factors.
The given polynomial equation in the problem is,
x³+7x²-2x -14
The above equation has the unknown variable x and the highest power of this unknown variable is 3.
Take out the highest common factor x², which can divide each term of the first two terms of equation (x³, 7x²). Thus,
x²(x+7)-2x-14
Take out the highest common factor -2 from the second two terms as,
x²(x+7)-2(x+7)
Now take out the common group (x+7) as,
(x+7)(x²-2)
Hence, the factor of the provided polynomial after the factorization process are similar to option C, which is
(x+7) (x²-2)
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how to solve y-x=0 and 7x-9y=8 by substitution
With y-x=0, add x to both sides to get y=x.
Now you can substitute either x or y
7x-9x=8 or 7y-9y=8 which is the same thing
-2x=8 or -2y=8
x=-4 or y=-4
Hope this helped!
what expressions are equivalent to 162x^4 - 144x^2 +32
Answer:
2x((3x-2)x(3x+2))²
Final answer:
The correct equivalent expressions for 162x⁴-144x²+32 are 2(81x⁴ - 72x² + 16) and 2(9x² - 4)², which correspond to options A and C.
Explanation:
The expression 162x⁴-144x²+32 can be factored by first taking out the greatest common factor (GCF), which is 2, resulting in 2(81x⁴ - 72x² + 16). If we look at the inside expression, we can recognize that it is a perfect square trinomial because 81x⁴ is the square of 9x² and 16 is the square of 4, and the middle term (-72x²) is twice the product of 9x² and 4. Consequently, the expression inside the parentheses can be written as the square of a binomial, resulting in 2(9x² - 4)². Therefore, the equivalent expressions for 162x⁴ - 144x² + 32 are:
2(81x⁴ - 72x² + 16)2(9x² - 4)²Thus, the answers are A and C from the options provided.
Every Saturday morning,Shaun mows 3 lawns 6 hours at this rate how many hours will it take him to mow 78 lawns (please solve this)
Final answer:
It will take Shaun 156 hours to mow 78 lawns based on his current rate of mowing 3 lawns in 6 hours.
Explanation:
To determine how many hours it will take Shaun to mow 78 lawns based on the rate at which he mows 3 lawns in 6 hours, we will use a proportion. First, we find the rate at which Shaun mows lawns per hour, which is 3 lawns / 6 hours = 0.5 lawns per hour. Next, we set up a proportion where the total number of lawns he needs to mow (78 lawns) is set equal to the product of the number of hours it takes (which we are trying to find) and the rate at which he mows lawns (0.5 lawns per hour).
So, the proportion is:
78 lawns = x hours ( 0.5 lawns/hour.)
Dividing both sides of the equation by 0.5 lawns/hour gives us:
x hours = 78 lawns / 0.5 lawns/hour
x hours = 156 hours.
Therefore, it will take Shaun 156 hours to mow 78 lawns at his current rate.
Which is equivalent to 16 Superscript three-fourths x?
RootIndex 4 StartRoot 16 EndRoot Superscript 3 x
RootIndex 4 x StartRoot 16 EndRoot cubed
RootIndex 3 StartRoot 16 EndRoot Superscript 4 x
RootIndex 3 x StartRoot 16 EndRoot Superscript 4
Answer:
Option A
Step-by-step explanation:
We want to find an expression that is equivalent to
[tex] {16}^{ \frac{3}{4}x } [/tex]
Recall that:
[tex] {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } [/tex]
We apply this property of exponents to rewrite our expression:
We set a=16, n=4 and m=3x
This implies that:
[tex]{16}^{ \frac{3x}{4} } = \sqrt[4]{ {16}^{3x} } = (\sqrt[4]{ {16} })^{3x} [/tex]
The first choice is correct.
Answer:
A
Step-by-step explanation:
edg review 2020
4(960+2-125)+5 what is the solution to this mathematical expression?
Answer:
3353
Step-by-step explanation:
1. Simplify 960 + 2 to 962.
4 · (962 − 125) + 5
2. Simplify 962 − 125 to 837.
4 · 837 + 5
3. Simplify 4 · 837 to 3348.
3348 + 5
4. Simplify
3353
Answer: 3353
Step-by-step explanation:
4 × 960 = 3840
4 × 2 = 8
4 × -125 = -500
-500 + 8 + 3840 = 3348
3348 + 5 = 3353
Lin’s puppy is gaining weight at a rate of 0.125 pounds per day. Describe the Weight gain in days per pound
Final answer:
The weight gain in days per pound for Lin's puppy is 8 days per pound.
Explanation:
The weight gain in days per pound can be calculated by taking the reciprocal of the rate of weight gain. In this case, Lin's puppy is gaining weight at a rate of 0.125 pounds per day. To find the weight gain in days per pound, we can take the reciprocal of 0.125, which is 1/0.125 = 8 days per pound.
What is the slope of the line?
Answer:
(-5,4) (6,-2)
(-2-4)/(6+5)= -6/11
Answer:
-3/5
Step-by-step explanation:
Advanced question!
I need smart people
Answer:
3/2
Step-by-step explanation:
Scale factor=side of second triangle/side of first triangle
Scale factor=12/8
=3/2
Step-by-step explanation:
[tex]Scale \: factor = \frac{8}{12} = \frac{2}{3} \\ [/tex]
The lengths of the sides of a triangle are 11.25 inches, 9.25 inches, and 10.25 inches. What is the perimeter of the triangle?
Perimeter of the triangle is 30.75 inches.
Step-by-step explanation:
Step 1: Given sides of the triangle = 11.25 in, 9.25 in, 10.25 inStep 2: Formula for perimeter of triangle = length of sides of the triangleStep 3: Substitute in the formulaPerimeter = 11.25 + 9.25 + 10.25
= 30.75 inches
write (-3, -5) (-1, -19) in point slope form
Answer:
(y + 5) = -7(x + 3)
Step-by-step explanation:
Point Slope Form: (y - y1) = m(x - x1)
Step 1: Find Slope
m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
m = [tex]\frac{-19 - (-5)}{-1 - (-3)}[/tex]
m = [tex]\frac{-19 + 5}{-1 + 3}[/tex]
m = [tex]\frac{-14}{2}[/tex]
m = -7
Step 2: Put into point slope form
Point Slope Form: (y - y1) = m(x - x1)
(y - (-5)) = -7(x - (-3))
(y + 5) = -7(x + 3)
Solve the equation for the given variable. Select the answer that best
describes your solution.
4(2x + 7) + 3 = 8x +31
Infinitely many solutions
No solution
One solution
Answer:infinitely many solutions
Step-by-step explanation: 4*2x= 8x and (7*4)+3 = 31. 8x+31 is equal to itself, therefore any value of x makes the equation true.
Marc was born on his grandmother’s 56th birthday. In how many years will Marcs grandmother be 5 times as Marc will be then?
Answer:
Therefore 70 year Marc's grandmother be 5 times of as Marc will be after (70-56) = 14 year.
Step-by-step explanation:
Given, Marc was born on his grandmother's 56th birthday.
Let , x year will Marc's grandmother be 5 times as Marc will be then.
At that time the age of Marc will be = (x-56) year
According to the problem,
x= 5(x-56)
⇔x = 5x - 280
⇔x-5x= -280
⇔-4x=-280
⇔x=70
Therefore 70 year Marc's grandmother be 5 times of as Marc will be after (70-56) = 14 year.
san
R
APOR is a right triangle. IF RO = 8, what is PO?
mios
16
Answer:
PQ = 16
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos60° = [tex]\frac{1}{2}[/tex], then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RQ}{PQ}[/tex] = [tex]\frac{8}{PQ}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
PQ = 8 × 2 = 16
452 multiplied by 36
Answer:
16272
Step-by-step explanation:
just use mutiplication
PLEASE HELP I HAVE NO IDEA IM GONNA FAIL
Yo sup??
Dude chill....u will pass for sure :)
SA of composite figure=sum of SA of individual faces
=SA of 2 triangles+SA of rectangle 1+SA of lower cuboid
=2*1/2*8*10+2*9*14+3*10*14+2*10*10
=80+252+420+200
=952 ft^2
Hope this helps.
a quadrilateral has sides that measure 12 centimeters, 10 centimeters, 10 centimeters, and 5 centimeters. The side that measures 12 centimeters is parallel to the side that measures 5 centimeters. What is the figure l?
Answer:
Trapezium.
Step-by-step explanation:
Some of the properties of a trapezium include:
- A pair of opposite parallel sides (the long and short base)
- Has 4 sides (meaning it is a quadrilateral)
-
what is the inequality for 5(x+3)−8<17
Answer:
x< 2
Step-by-step explanation:
We are given the inequality;
5(x+3)−8<17
First we take 8 to the other side;
5(x+3)<17 + 8, notice the sign changes like with an equation
Opening the brackets;
5x + 15 < 25
We then take 15 to the other side;
5x < 25 -15
5x < 10
x < 2
Thus, the solution of the inequality is x< 2
Please help! Thank you!
Answer:
1. 7/10 + 3 6/10= 4 13/10= 5 3/10
if 3x > or = 2x+5 then what is 3x-10 > or = 2x -__
To save time, you dont need to write "> or ="
You can simply write ">=" without the quotes.
So 3x >= 10 means "3x is greater than or equal to 10"
-----------------------------------
we start with 3x >= 2x+5
we want 3x-10 on the left hand side. We already have a 3x. So if we stick a -10 on the left side, we need to do the same thing to the right side to balance things out. We can subtract 10 from both sides to do this
3x >= 2x+5
3x-10 >= 2x+5-10 ... subtract 10 from both sides
3x-10 >= 2x-5
So it looks like a 5 will go in the blank because the negative portion is already taken care of.
Answer:
The answer is 10
Step-by-step explanation:
Draw a rectangle that has the area of 56 sq.cm.
Answer:
draw an 8 x 7 rectangle
Step-by-step explanation:
note that
area of rectangle = length x width.
we also know that 56 = 8 x 7
hence you simply need to draw a rectangle and label the long side "8 cm" and the short side "7 cm"
Beth won 86 pieces of gum playing hoops at her school’s game night. Later, she gave three to each of her friends. She only has 2 remaining. How many friends does she have.
Answer:
That's a very dumb question, because some of her friends could be fakers and users. But, I'll answer it.
86 subtracted by 2 is 84.
It says she gave 3 to each friend so:
84 divided by 3 is 28.
She has 28 friends.
The retail price of a product is $77.30 per square metre. Trade price is retail less 12.5%. Calculate the trade price of 5.35m of the product.
(Answer should be in $ pls)
Answer: $1935.56
Step-by-step explanation:
T.P=R.P-(12% of R.P)
R.P=$77.30 per 1m²
When m =5.35, m²=5.35²=28.6225
R.P= $(77.30×28.6225)
R.P=$2212.52
12.5% of R.P=0.125×$2212.52=$276.565
Therefore,
T.P = $2212.52-$276.565 = $1935.96
Note: T.P is Trade Price and R.P is Retail Price.
Hope this helps?
4 sisters love barrettes. they have a value pack that contains 92 barrettes. how many barrettes can each sister have if they share equally?
Answer:
23
Step-by-step explanation:
92÷4=23
There are a total of 92 barrettes and 4 sisters so you divide the total amount of barrettes with the total amount of people present.
Answer:
23 barrettes
Step-by-step explanation:
92 divided by 4=23 There are a total of 92 barrettes and 4 sisters so you divide the total amount of barrettes with the total amount of people present.
In another way :
So you have 92 then you divide 92 by 4 and that equals 23
Two parallel lines are crossed by a transversal.
What is the value of x?
Answer:
x = 115°
Step-by-step explanation:
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Gavin deposited money into his savings account that is compounded annually at an interest rate of 9%. Gavin
thought the equivalent quarterly interest rate would be 2.25%. Is Gavin correct? If he is, explain why. If he is
not correct, state what the equivalent quarterly interest rate is and show how you got your answer.
Answer:
He is correct.
Step-by-step explanation:
9÷4=2.25
The equivalent quarterly interest rate is 2.25%. The annual interest is converted quarterly by dividing the annual rate by 4.
What is the definition of simple interest?Simple interest is a notion employed in various industries, including banking, finance, and automobiles.
Gavin put money into his savings account, which is compounded annually at an interest rate of 9%
The corresponding quarterly interest rate is, 2.25%.
The annual interest is converted quarterly as;
[tex]\rm n= \frac{9}{4} \\\\ n= 2.25\%[/tex]
Hence, the equivalent quarterly interest rate is 2.25%.
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What is an equivalent expression for 1.5(3x + 4) +0.25(6x + 8)?
(25 points)
Answer:
6x+8
Step-by-step explanation:
Answer:
6x + 8 is the answer
Step-by-step explanation:
on Edgenuity 2020
I need now plz
Select all the functions whose graphs include the point (16, 4).
A. y=2x
B. y=x2
C. y=x+12
D. y=x−12
E. y=14x
The functions whose graphs include the point (16, 4) is y = x−12.
Option: D.
Step-by-step explanation:
To find the function that passes through the point (16,4).
Substitute the point in all the equations and equate the final values to find the correct equation.
A. y=2x.
Substitute (16,4).
4=2(16).
4≠32.
Thus the equation doesn't contains the point (16,4).
B. y=[tex]x^2[/tex].
Substitute (16,4).
4=[tex]16^2[/tex].
4≠ 256.
Thus the equation doesn't contains the point (16,4)
C. y=x+12.
4=16+12.
4≠28.
Thus the equation doesn't contains the point (16,4)
D. y=x−12.
4=16-12.
4=4.
Thus the equation contains the point (16,4)
E. y=14x.
4=14(16).
4≠224.
Thus the equation doesn't contains the point (16,4)
∴The functions whose graphs include the point (16, 4) is y = x−12.
Answer:
Step-by-step explanation:
There are 2 answers to this question. I know one of them wich is D but the other one I think it;s A
what 2 numbers multiply to get -120 and add to get -14
Answer:
-20 and 6
Step-by-step explanation:
-20 x 6 = -120
and if you add -20 and 6, you get -14.
Brian's kite is flying above a field at the end of a 40 m string. If the angle of elevation
to the kite measures 70°, how high is the kite above the ground? Round your answer
to the nearest tenth of a meter.
Answer:
who ever answers right will get Brainlyeist!!!!! PLEASE HELP ME OUT!!!
3. Find the area of the triangle.
A. 21.2 in
B. 10.5 in
C. 21 in
D. 42 in
Name the restrictions on x then solve showing your steps
2/x-3=5/x
Answer:
x=5
Step-by-step explanation:
The given equation is [tex]\frac{2}{x-3}=\frac{5}{x}[/tex]
The denominator is never equal to zero.
Therefore [tex]x-3\ne0[/tex] or [tex]x\ne 0[/tex]
[tex]x\ne3[/tex] or [tex]x\ne 0[/tex]
Let us now cross multiply to get:
[tex]2x=5(x-3)[/tex]
Expand to get:
[tex]2x=5x-15[/tex]
Group similar terms to get:
[tex]5x-2x=15[/tex]
[tex]3x=15[/tex]
[tex]x=5[/tex]