Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor
Step-by-step explanation:
3x³ - 4x² - 28x - 16
= (x + 2)(Ax² + Bx + C)
= Ax³ + (2A + B)x² + (2B + C)x + 2C.
By Comparing Coefficients, we have:
A = 3,2A + B = -4,2B + C = -28,2C = -16.Solving them will give A = 3, B = -10 and C = -8.
Hence 3x³ - 4x² - 28x - 16
= (x + 2)(3x² - 10x - 8)
= (x + 2)(3x + 2)(x - 4).
The answer is f(x) = (x + 2)(3x + 2)(x - 4).
WILL MARK YOU BRAINLIEST
Answer: 3. 5 7/20,
Explanation: I took -3 2/5 and turned it into -17/5 and did the same with 8 3/4 which is 35/4. I gave them both the same denominator so I could add them together and it became -68/20 + 140/20 which equals 107/20
Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm
a) 11cm² b) 77cm²
c) 25cm² d) 56cm²
Calculate the area of the full circle:
Area = PI x r^2
Area = 3.14 x 14^2 = 615.44 sq. cm
45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8
615.44 x 1/8 = 76.93, round to 77 cm^2
The answer is B. 77 cm^2
Matthew drives at an average speed of 62mph for 5 hours how many miles does matthew drive?
Answer:
He drove 310 miles per hour
Step-by-step explanation:
So this means that in one hour he drives 62 miles
to find how much in five hours multiply 5 by 62
5x62=310miles
Answer:52
Step-by-step explanation:
question.
А
0
2
3
Which fraction does point A show?
A
B
C
D
Answer:
B
Step-by-step explanation:
I don't remember but I just know how to do it
Taylor purchased 9 pints of ice cream for a party. If each guest will be served exactly 1 2 2 1 pint of ice cream, how many guests can Taylor serve?
Complete question :
Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve
Answer:
15 guests
Step-by-step explanation:
Given that:
Total pints of icecream = 9 1/2
Fraction of ice cream pints per guest = 3/5 pints
Number of guest that can be served :
Total pints / fraction per guest
9 1/2 ÷ 3/5
19/2 * 5/3
95 / 6
= 15.8 guest
Hence, greatest Number of guest that can be served = 15
Simplify (-4yx^4)^3
Answer: -64y^3x^12
Step-by-step explanation:
What is the value of cot840°
Answer:
cot 840° = [tex]\sqrt{3}[/tex]
Step-by-step explanation:
First, we must bring the value of 840° down to a value less than 90°.
To do that, we have to consider how many full rotations 840° is on the coordinate plane.
Start by dividing by 360°, since that is one full rotation.
840°/360°=2 R.120
So now we know that 840° is 120° extra, and therefore, the two calues will be equal.
So, cot840°, will be the same as cot120°
But now we need to make 120° a value less than 90°. So we can divide by 90°
120°/90°, and you get 1 R.30°
So now we also know that cot120° = cot 30°
Using your trigonometric table, we see that cot 30° = [tex]\sqrt{3}[/tex]
Hope this helped
Answer:
cot840=cot(180×5-60)=cot(-60)since cot is negative in second quadrant
cot(-60)=1/(tan(-30))=1/(-1/√3)=-√3
Which of the following equations represents a proportional relationship?
OA.
y = -4.50 + 6.25
OB.
I = 4.5
OC.
y = 6.25
OD.
y
= -4.5
Answer:
Step-by-step explanation:
OA.
y = -4.50 + 6.25
OB.
I = 4.5
OC.
y = 6.25
OD.
y
= -4.5
for what value of M is the equation an identity 4x^2-x+M=3x^2+x+2
Answer:
[tex]m=3x^{3} +2[/tex]
Step-by-step explanation:
[tex]4x^{2} -x+m=3x^{2} +x+2[/tex]
[tex]4x^{2} +m=3x^{2} +2x+2[/tex]
[tex]x^{2} +m=2x+2[/tex]
[tex]m=3x^{3} +2[/tex]
In the accompanying diagram, ABC is a straight line. mLABD 8x, and m DBC = x + 27. Find x.
Answer:
The 2 angles are supplementary. This means they have to add up to 180 degrees. The first angle is 8x and the second is x+27. So set both of them equal to 180.
8x + x + 27 = 180
9x = 153
x = 17
Angle 1 = 8(17) = 136
Angle 2 = (17) + 27 = 44
Check: Angle 1 + Angle 2 = 180
136 + 44 = 180
Step-by-step explanation:
Can you fill in the chart?
Help
Me
Solve
This
Answer:
POG
Step-by-step explanation:
Answer:
Step-by-step explanation:
Nsjsjsjsms
Katharine has a bag containing 20 dried beans. Eight of the beans are painted blue. If Katharine selects a bean from the bag at random, what is the probability that she will draw a bean that is NOT blue? Al out of 3 B 2 out of 5 C 3 out of 5 D 2 out of 3
Given:
Total number of beans = 20
Number of blue of beans = 8
One bean is selected from the bag at random.
To find:
The probability that she will draw a bean that is NOT blue.
Solution:
We have,
Total number of beans = 20
Number of blue of beans = 8
Number of non-blue beans = 20 - 8
= 12
Now, the probability that she will draw a bean that is NOT blue is
[tex]P(\text{Bean is not blue})=\dfrac{\text{Number of non-blue beans}}{\text{Total number of beans}}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{12}{20}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{3}{5}[/tex]
Therefore, the correct option is C.
Please help!
Is this graph a function or not?
Answer:
its not a function
Step-by-step explanation:
Which expression is a factor of 18 x 2 - 15 x +2?
Answer:
(6x-1)(3x-2)
Step-by-step explanation:
18x²-15x+2 = 18x²-12x-3x+2= 6x(3x-2)-1(3x-2)=(6x-1)(3x-2)
sophie buy a guitar during the sale if the original price was $90.64 how much does sophie pay
Answer:
$67.98
Step-by-step explanation:
The discount was 25%, so you would need to multiply 90.64 and 0.25.
90.64*0.25= 22.66
However, that isn't your final answer because 22.66 is how much Sophie saved.
90.64-22.66= 67.98
Therefore, your answer would be $67.98.
Hope this helps :)
Answer:
45.54
Step-by-step explanation:
need help on this thanks
Answer:
8
Step-by-step explanation:
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9
Answer:
3,6,-1,5, and -4
Step-by-step explanation:
Domains is the X
Answer:
hi
Step-by-step explanation:hi
Find the value of x in the following figure ( Please hurry)
Answer:
x=9
Step-by-step explanation:
2x+12=5x-15
3x=27
x=9
Answer:
the value of X in the figure is 0 I think
fred sold half of his comic books and then bought 8 more he now has 16 how many did begin with
Answer:
16 I think
Step-by-step explanation:
If he now has 16 and he bought 8 you have to do 16-8 which is 8. He sold half and got to 8. Half of 16 is 8. (Sorry if that didn't make sense)
I hope this helped!
13х - 7y + 4х
Please explain and awnser it’s for a test!
Answer:
17x-7y
Step-by-step explanation:
Im assuming you need to simplify it.
combine 13x and 4x
17x-7y
which system of equations has the same solution as the system below?
2x+2y=16
3x-y=4
a. 2x+2y=16 b. x+y= 16
6x-2y=8 3x-y=4
c. 2x+2y=16 d. 6x+6y=48
6x-2y=8 6x+2y=8
Answer: Both A, and C
Step-by-step explanation:
The answer to the first system of equations (2x+2y=16) would be
x=3 and y=5 ( 3x-y=4 )
Which means we have to find out which of the other equations has an x value of 3, and a y value of 5.
If A is 2x+2y=16, then x=3 and y=5
6x-2y=8
If B is x+y=16, then x=5 and y=11
3x-y=4
If C is 2x+2y=16, then x=3 and y=5
6x-2y=8
If D is 6x+6y=48 , then x=-2 and y=10
6x+2y=8
Both A and C are equal to the first system of equations, which means they are both correct answers.
Help !!!
See question in image.
Please show workings .
Answer:
[tex]\frac{dy}{dx}[/tex] = 2x + 3
Step-by-step explanation:
The gradient function is the derivative [tex]\frac{dy}{dx}[/tex]
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and [tex]\frac{d}{dx}[/tex] ( constant ) = 0
Given
y = x² + 3x + 1, then
[tex]\frac{dy}{dx}[/tex] = 2[tex]x^{2-1}[/tex] + 3[tex]x^{1-1}[/tex] + 0 = 2x + 3[tex]x^{0}[/tex] = 2x + 3 ← gradient function
I'm retaking what do you think it is
Answer:
B
Step-by-step explanation:
Its very simple try not to waste your points
I NEED HELP PLEASE HELP
Answer:
66.) 1.) M=-9/7
2.) Y-INTERCEPT (9)
3.) X-INTERCEPT (7).
Answer:
Step-by-step explanation:
I don’t really know, don’t answer falsely on my answer, I literally have a f^cking quiz
Brian invests £1900 into his bank account.
He receives 4.5% per year compound interest.
How much will Brian have after 7 years?
Answer:
£2585.64
Step-by-step explanation:
FV=PV(1+i)^t
Which means we have
1900(1+.045)^7
1900(1.045)^7
2585.64
my head is empty for now, i rly can't with online classes
so anyone wanna help me?
Answer:
The Y intercept is (0,7)
Step-by-step explanation:
If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)
QS bisects <PQR. If m<PQS = 5x and m<RQS = 2x + 6, then what is m<PQR?
Answer:
20 degrees
Step-by-step explanation:
If QS bisects Angle PQR, it would mean that Angle PQS and Angle RQS are equal
2x+6=5x
Subtract 2x on both sides
6=3x
Divide by 3 on both sides
x=2
Plug the value of x into either one of the angle measures equation
5x
5(2)=10
If they are equal to one another it would mean that the other angle would be the same measure and you would multiply it by 2
10(2)=20
Therefore 20 degrees is the answer for the measure of Angle PQR
Hope it helped :))
Help please this is urgent
Answer:
x°+5 x°+5
2xo
f(g(_1))=2xo