Answer:
a = 3, b = 8
Step-by-step explanation:
Since x+3 is a factor, x=-3 is a root. => f(−3)=2(−3)3+a(−3)2−b(−3)+3=0
=> 9a+3b=51 => 3a+b=17 — (1)
x-2 leaves a reminder of 15 => f(2)=2(2)3+a(2)2−b(2)+3=15
=>4a−2b=−4=>2a−b=−2 —- (2)
Adding (1) & (2), 5a=15=>a=3
Substituting the value of a in (1), b=8
Anyone know? Someone said 120 but that’s obviously not an option!
what’s 34 + 2x = 49??? I NEED HELP
Answer:
x = 7.5
Step-by-step explanation:
Use algebraic manipulation (and remember that anything you do to one side must be done to the other, in most cases):
34 + 2x = 49
-34 -34
2x = 49 - 34
2x = 15
x = 7.5
∠A and
∠
B
∠B are supplementary angles. If m
∠
A
=
(
7
x
+
7
)
∘
∠A=(7x+7)
∘
and m
∠
B
=
(
4
x
−
14
)
∘
∠B=(4x−14)
∘
, then find the measure of
∠
B
∠B.
What is the factorization of 49b2 − 81? (7b – 9)(7b – 9) (7b – 9)(7b 9) (7b2 – 9)(7b2 – 9) (7b2 – 9)(7b2 9).
answer : (7b+9)(7b-9)
A restaurant uses 4⁄5 ounce of gravy for each serving of meat loaf. If 45 people ordered meat loaf, how much gravy will the restaurant need in ounces?
Answer:
The correct answer is 36 ounces
Step-by-step explanation:
Please Help 20 Points
Answer:
3x^2+4x+1Step-by-step explanation:Given the polynomial function 4x + 3x^2 - 1Rearranging in descending order means that we are to arrange the degree power from the highest to the lowest.The term with the highest degree is 3x^2Followed by 4xThen the constant 1Adding according to the descending powersThe polynomial in descending order will be 3x^2+4x+1D is the answer:)An expression is shown below (x^4/3)(x^2/3). What is the product of the two factors?
Answer:
x^2
Step-by-step explanation:
(x^4/3)(x^2/3)
When we multiply the exponents with the same base, we add the exponents
x^(4/3+2/3)
x^(6/3)
x^2
What is the solution of startroot negative 4 x endroot = 100? x = –2500 x = –50 x = –2.5 no solution
Hey there!
-√4x = 100
WELL….
-√4 = -2
NEW EQUATION:
-2x = 100
DIVIDE -2 to BOTH SIDES
-2x/-2 = 100/-2
CANCEL out: -2/-2 because it give you 1
KEEP: 100/-2 because it help solve for the x-value (mainly give you it)
NEW EQUATION: x = 100/-2
SIMPLIFY IT!
x = -50
Therefore, your answer is: x = -50
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
B-X=-50
Step-by-step explanation:
Question
A gift box in the shape of a rectangular prism measures 8 inches by 8 inches by 10 inches. What is the least amount of wrapping paper needed to wrap the gift box?
The least amount of wrapping paper need is
square inches
Question
A gift box in the shape of a rectangular prism measures 8 inches by 8 inches by 10 inches. What is the least amount of wrapping paper needed to wrap the gift box?
The least amount of wrapping paper need is
square inches
Question
A gift box in the shape of a rectangular prism measures 8 inches by 8 inches by 10 inches. What is the least amount of wrapping paper needed to wrap the gift box?
The least amount of wrapping paper need is
square inches
Answer:
448
Step-by-step explanation:
[(8x8)4]+[(8x10)2]
448
Select the correct answer. What is the decimal form of 17%?A. 17B. 1. 7C. 0. 17D. 0. 17
Answer:
A
Step-by-step explanation:
You would move the decimal back only 2 places.
Answer:
0.17
Step-by-step explanation:
All you do is divide by 100.
The population of Florida has increased, on average, at a rate of 8% per year since 1953. In 1993, the population of Florida was 13 million.
What was the population in 1953?
*show work & will give brainliest*
Answer:
598,402
Step-by-step explanation:
Let y = population at year x
x is the number of years since 1953, so for 1993, x = 40
a = population in 1953
y = a(1.08)^x
In 1993, the population is 13,000,000, so y = 13,000,0000 when x = 40.
13,000,000 = a(1.08)^40
13,000,000 = 21.7245a
a = 598,402
Answer: 598,402
I need help with question 5 please help me
A hollow post is made out of a lightweight aluminum alloy that is 1.5 cm thick. The alloy is folded into the shape of a right rectangular prism measuring 9 cm by 9 cm by 28 cm. Find the total volume of alloy in the post. Round your answer to the nearest hundredth if necessary.
The total volume of alloy in the post is about 900 cm³
What is a volume?
Volume is the amount of space occupied by a three dimensional shape or object.
Volume = length * width * height
The right rectangular prism measuring 9 cm by 9 cm by 28 cm. The alloy is 1.5 cm thick.
Length = 9 - 1.5 - 1.5 = 6 cm, width = 9 - 1.5 - 1.5 = 6 cm, height = 28 - 1.5 - 1.5 = 25 cm. Hence:
Volume = 6 * 6 * 25 = 900 cm³
The total volume of alloy in the post is about 900 cm³
Find out more on volume at: https://brainly.com/question/12410983
Answer:
1837.5
Step-by-step explanation:
I jut did it
The cost of an afternoon movie ticket was $4.00.
This year an afternoon movie ticket costs $5.00.
What is the percent increase of the ticket from last
year to this year?
A. 10%
B. 20%
C. 25%
D. 40%
Answer:
c
Step-by-step explanation:
25% of 4 or 4 divided by 4 is 1. 1+4 is 5
simplify (6 - sqrt25)/4
Answer:
(6-5)/4= 1÷4=0.25
Step-by-step explanation:
This data set represents the number of cups of flour used in different recipes. What is the mean of this data set? {1/2, 1/3, 2/3, 1 1/2} Enter your answer as a fraction in simplest form in the box. Will give Brainiest to FIRST CORRECT answer!!
Answer:
what is the answer
Step-by-step explanation:
I'm doing the test right now
jenny worked on an art project for 4 3/4 hours. She spent 2/3 of the time drawing and painting. How many hours did she spend drawing and painting
Answer:
3.16
Step-by-step explanation:
Because 4 3/4 divided by 2/3 is 3.16666666667 and 3.16666666667 simplified is 3.16. So 3.16 is the answer.
Hope this helps!
Need help ASAP (IMAGE ATTACHED)
Answer:
The answer is B
Step-by-step explanation:
It becomes 8y = -3x + 12.
Then divide by 8 on both sides.
y = -0.375+1.5
This you can turn it into a fraction which is y = -3/8 + 1.5
PLEASEHELP!!!!!!
Two runners start the race at the same time. The first runner's speed is 4/5 of the speed of the second runner. After 30 minutes, the runners are 2 miles apart. What is the speed of each runner?
*not 1.78 & 2.22 :(*
Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.
What is a proportion?A proportion is a fraction of a total amount.
After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:
[tex]v_2 = v_1 + 4[/tex].
The first runner's speed is 4/5 of the speed of the second runner, hence:
[tex]v_1 = \frac{4}{5}v_2[/tex]
[tex]v_1 = \frac{4}{5}(v_1 + 4)[/tex]
[tex]\frac{1}{5}v_1 = \frac{16}{5}[/tex]
[tex]v_1 = 16[/tex]
[tex]v_2 = 16 + 4 = 20[/tex]
Hence, the speed of the runners are of 16 mph and of 20 mph.
More can be learned about proportions at https://brainly.com/question/24863377
Answer:
Using proportions, it is found that the speed of the runners are of 16 mphand of 20 mph.What is a proportion?A proportion is a fraction of a total amount.After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:.The first runner's speed is 4/5 of the speed of the second runner, hence:Hence, the speed of the runners are of 16 mph and of 20 mph.
Step-by-step explanation:
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the values of x and y.
Step-by-step explanation:
The figure shows an isosceles triangle. The two sides of an isosceles triangle are equal and the two base angles are equal. Since line AD is the angular bisector of the top Angle of an isosceles triangle, AD is also the base midline and base perpendicular bisector of the triangle.
So x=90 degrees.
The angles of a triangle add up to 180 degrees. So ∠DAC=(180-90-47)=43 degrees
y=43 degrees.
Answer:
y = 43°
x = 90°
Step-by-step explanation:
x = 90°(right angle)
y + 47 + x = 180(base angles of isosceles are equal)(all angles of triangle are equal)
y + 47 + 90 = 180
y + 137 = 180
y = 180 - 137
y = 43°
Can someone help with this math problem pleaseeee
Explanation:
The square root undoes the squaring operation.
Think of a square that is 1 ft by 1 ft. Its area would be 1*1 = 1 sq ft.
Now imagine you told your friend "the area is 1 sq ft" and you didn't relay the side lengths. Your friend would use the square root to find the side length is 1 ft.
I'm not sure why your teacher is using plus minus notation when that is not correct. Saying [tex]\sqrt{1} = \pm 1[/tex] is not true. The result of a square root is simply one value only. If your teacher meant [tex]\pm \sqrt{1} = \pm 1[/tex], then it would be a true statement; however, there's no need to involve negative numbers for this problem.
Use the information below to answer 1–3.
Three students are playing a video game. Each player is randomly
assigned a character from a collection of characters that includes
5 blue, 6 green, and 3 red characters. After each character is picked,
it is not replaced in the collection.
1. What is the probability that the first player does not get a blue character?
Answer:
The probability the 1st player does not get a blue chracter is 9/14.
Step-by-step explanation:
So there is a total of 14 characters.
9 of them are not blue
9/14 = .642857 (~64%, not the answer since it's not asking for percents)
The probability the 1st player does not get a blue chracter is 9/14.
Hi there can anyone help
-42/x = 14/-2
what is x
thanks
Answer:
x=6
Step-by-step explanation:
14÷(-2)=-7
-42÷(-7)=6
What is an equation of the line that passes through the points (3,6) and (-1,-6)
Answer:
the slope is 3
Step-by-step explanation:
use the equation
y2 -y 1 / x2 - x1
to find the slope
6 - (-6) / 3 - (-1)
6 + 6 / 3 + 1
12 / 4
3
If the sum of three consecutive number is 36,find the numbers?
x+x+x= 36 what about 3x you divide by the co_efficient of 3 which you will get 12.....(so 12-1 on your left and +1 on your right hand side....so the numbers are ( 11+12+13=36)
solve for x and y using elimination method:-
7x -2y = 3, 1/2 - 3y = 8
Answer:
take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?
Step-by-step explanation:
take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?
ASAP!
Emma invested $750 in an account paying an interest rate of 1. 9% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $910?
Answer:
the answer is 2.6 show in the workings below
.
James had $400 in his bank account. After
paying bills for 4 months, his balance is now
$160. What is his rate of change in dollars per month?
A.40
B.-40
C.60
D.-60
Answer:
C
Step-by-step explanation:
400-160=240
240/4=60
I need help Solveing for X
Answer:
x = 57°
Step-by-step explanation:
23° + 100° + x = 180°
123° + x = 180°
-123 -123
x = 57°
Hope this helps!
Factor completely 4x3 8x2 − 25x − 50. (4x2 − 25)(x 2) (2x − 2)(2x 2)(x 5) (2x − 5)(2x 5)(x 2) (2x − 5)(2x 5)(x − 2).
Answer:
(2x − 5)(2x + 5)(x + 2)
Step-by-step explanation:
i hope this helps