Answer:
Work shown below!
Step-by-step explanation:
[tex]x^{4}-5x^{2} +4[/tex] = [tex]0[/tex]
[tex]A[/tex] = [tex]x^{2}[/tex]
[tex]A^{2} -5A+4[/tex] = [tex]0[/tex]
[tex](A-1)(A-4)[/tex] = [tex]0[/tex]
[tex](x^{2}-1)(x^{2} -4) =0\\(x-1)(x+1)(x-2)(x+2)=0[/tex]
x - 1 = 0
Add 1 to both sides;
x = 1
x + 1 = 0
Subtract 1 from both sides;
x = -1
x - 2 = 0
Add 2 to both sides;
x = 2
x + 2 = 0
Subtract 2 from both sides;
x = -2
Use the Remainder Theorem to determine whether or not x + 3 is a divisor of p (x) = 2x^3 + 4x^2 - 2x + 12
PLEASE SHOW WORK.
Step-by-step explanation:
This is answer. I'm sri lankan. But our a/l exam have this mathematics questions
The remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).
Given the polynomial; p(x) = 2x³ + 4x² - 2x + 12, since it is divided by x + 3, hence:
x + 3 = 0
x = -3
p(-3) = 2(-3)³ + 4(-3)² - 2(-3) + 12 = -6
Hence the remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
Find out more at: https://brainly.com/question/13416073
HELP QUITCKLY
combine like terms to create an equivalent expression to 8(8+7J+8).
Answer: 56j + 128
Step-by-step explanation:
Answer:
56J+128
Step-by-step explanation:
8(8+7J+8)
64+56J+64
56J+128
8. It took Sharon 85 minutes to wash three cars. She spent x minutes on each car and 10 minutes
putting everything away. Solve 3x +10 = 85 to find out how long it took to wash each car.
a. 5.5 minutes
b. 28.3 minutes
c. 25 minutes
d. 31.65 minutes
Answer:
c. 25 minutes
Step-by-step explanation:
3x + 10 = 85
3x = 85 - 10
3x = 75
x = 25
Please help me it will be appreciated. The graph shown below represents a proportional relationship between the cost and the number of books purchased. What does the ordered pair (1,5) represent in the context of the problem?
Answer:
here go to quizlet it has the aswer for you
Step-by-step explanation:
Which ratios have a unit rate of 4? Choose ALL that apply.
Answer: It’s 2 cups and 1/2 and 2 1/2 and 5/8
Step-by-step explanation:
The ratios have a unit rate of 4 will be 2 ¹/₂ cups: ⁵/₈ cups and 2 cups: ¹/₂ cups. Then the correct options are C and D.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The ratios are given below.
A) 4 ¹/₃ cups: 3 cups = 1.44
B) ⁷/₈ cups: 3 ¹/₂ cups = 0.25
C) 2 ¹/₂ cups: ⁵/₈ cups = 4
D) 2 cups: ¹/₂ cups = 4
E) ¹/₈ cups: 1 cup = 0.125
F) 4 cups: 1 ¹/₄ cups = 3.2
The ratios have a unit rate of 4 will be 2 ¹/₂ cups: ⁵/₈ cups and 2 cups: ¹/₂ cups. Then the correct options are C and D.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
Which function has a greater rate of change?
Function A:
x 1.5 2.5 3.5 4.5 5.5
y –5 0 5 10 15
Function B:
y = –4.5x + 15
Function A has a rate change of BLANK and Function B has a rate change of BLANK so Function BLANK has a greater rate of change
Answer:
5; -4.5; Function AStep-by-step explanation:
Rate of change for function A is:
(15 - 10)/(5.5 - 4.5) = 5/1 = 5Rate of change of function B is:
-4.5 as the slope is the rate of changeComparing the values:
5 > - 4.5Function A has a greater rate of change
Answer:
Answer:
5; -4.5; Function A
Step-by-step explanation:
Rate of change for function A is:
(15 - 10)/(5.5 - 4.5) = 5/1 = 5
Rate of change of function B is:
-4.5 as the slope is the rate of change
Comparing the values:
5 > - 4.5
Function A has a greater rate of change
Cindy has $20 to spend at the store. She buys a pack of colored pencils that cost $4 and jelly beans that cost $2 per pound. If she spends more than $8 at the store, graph a compound inequality that shows the possible number of pounds of jelly beans she could have purchased.
Answer:
4 pounds but if I'm wrong sorry
Answer:
Step-by-step explanation:
7
Which is a monthly cost associated with renting a house? A. utility bills B. property tax C. security deposit
Answer:
Property tax
Step-by-step explanation:
That is because you are paying to live on that property. As utility bills. Is like paying for tools and that is not a part of renting a house. Sercurtity deposit is not a thing.
Answer:
A. utility bills
Step-by-step explanation:
At cultutral arts day each session lasts 4/5 hours. The principal has set aside 3 hours for the sessions. Determine the number of sessions that can be sheduled for each student
Answer: 3.75
Step-by-step explanation:
The following can be gotten from the question:
Time taken for each session = 4/5 hours
Total time set aside by principal = 3 hours
The number of sessions that can be sheduled for each student will be:
= Total time set aside by principal / time taken for each session
= 3 hours / 4/5 hours
= 3 × 5/4
= 3.75
Help please I’ll give you 25 points
Answer:
=x3y+8
Step-by-step explanation:
There are 8 people working on a project with m tasks, and for each task, there are 4 people participating in. We know that any two persons work n tasks, n>0. What is the minimal value of m?
Answer:
2 tasks because you look and it says there are 8 people and 4 for each task
Step-by-step explanation:
hope this helps
If a scale drawing of a car is 3 inches and the real car is 15 feet what is the scale and the scale factor
Answer:
5
Step-by-step explanation: 3x5=15
Plz hurry!!
Click the answer that shows the numbers in order from least to greatest.
A. 1.6, 0.9, 0.2, -0.8, -2.4
B. -0.8, -2.4, 0.2, 0.9, 1.6
C. -2.4, -0.8, 0.2, 0.9, 1.6
D. -0.8, 1.6, 0.9, -2.4, 0.2
Answer:
C is the correct answer
.
Find the measure of ∠3.
45°
90°
135°
Given the function
g(x) = 2x + 4 find 9(2), 9(4), and g(10)
3x+47y=1094
Solve for y.
Answer:
[tex]y = \frac{1094-3x}{47}[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3x + 47y = 1094
Step 2: Solve for y
Subtract 3x on both sides: 47y = 1094 - 3xDivide both sides by 47: y = (1094 - 3x)/47Sandra's bird feeder holds 3/5 of a cup of birdseed. Sandra is filling the bird feeder with a scoop that holds 1/10 of a cup. How many scoops of birdseed will Sandra put into the feeder?
How do I solve 50% of 70??? I’m having trouble with percents and proportions.
Answer:
35
Step-by-step explanation:
i googled it :)
ron wants to buy a video game with a selling price of $60, on sale for 50% off. The sales tax in 4.5% state is . How much will he have to pay in all? If has $34, can he afford to purchase the game?
Answer:
Yes, he can.
Step-by-step explanation:
To find the sale, you need to times the sale percentage by the original price so
60 x 0.50 = 30
Then you subtract the original price by the sale price so
60 - 30 = 30
So the with the sale, the price is $30.
Now the tax
Do the same
30 x 0.045 = 1.35
Now instead of subtracting you add so
30 + 1.35 = $31.35
Yes, he can afford it.
Please can anyone simplyfy that and can you tell the steps?
Step-by-step explanation:
Hope I did the way it was required! And helped you somehow!
A certain forest covers an area of 3000 km^2. Suppose that each year this area decreased by 8%. What will the area be after 15 year? Round answer to nearest square kilometer
Find the slope that passes through the points (19,-2) and. (11, 10)
Answer:
12 over -8
Step-by-step explanation:
Solve the equation simultaneously
3x+4y-z=19
5x+2y+z=15
2x+3y+2z=11.
Find x+y+z
Answer:
sorry little busy to calculate
Step-by-step explanation:
+5x+2y+z=15
3x +4y_z=19,,,choose which term u wanna eliminate first so u will be able to get your answer there
1. What is the slope intercept form for -3, and (4,2) SIMPLIFIED??
2. What is the slope intercept form for -1/2 and (-5,6) SIMPLIFIED???
Answer:
Step-by-step explanation:
1. y - 2 = -3(x - 4)
y - 2 = -3x + 12
y = -3x + 14
2. y - 6 = -1/2(x + 5)
y - 6 = -1/2x - 5/2
y - 12/2= -1/2x - 5/2
y = -1/2x + 7/2
Who knows how to do this diagonals topic
Answer:
12
Step-by-step explanation:
If the line GE is the bisector of FH then lines FJ and JH are congruent or the same size. this means that JH would equal 12 as well
188 plus what equals 258
and 303 plus what equals 384
I will rate 5 stars and and mark you BRAINLIEST
Answer:
188 + 70 = 258
303 + 81 = 384
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8y – 4x = -56
Two friends, Aria and Kaylee, took summer jobs. The equation y = 20.2 x y=20.2x represents Kaylee's earnings in dollars and cents, y y, for working x x hours. Aria earned $737.20 in 38 hours.
Answer:
y=19.4x------represents Aria's earnings in dollars and cents,
Step-by-step explanation:
The question is not complete, however, the idea from this response can provide the needed solution and understanding
Step one:
The linear function for the earnings is given as
y = 20.2x-----this represents Kaylee Earnings.
y represents the total earnings
x represents the earning rate, in this situation it $20.2 per hour, this is also the gradient of the function m
Step two:
we want to find th equation for Aria earning
y= $737.20
time taken x=38 hours
737.2=m(38)
divide both sides by 38
m=737.2/38
m=19.4
this means that Aria earn $19.4 per hour
the function for Aria is
y=19.4x
will give brainlist!
How many sig figs does 602 200 000 000 000 000 000 000 molecules have ? Explain
Answer:
4
Step-by-step explanation:because 6022 is the sig figs, and 00000000000000000000 doesnt work because it is zero