Answers
Answer:
(x - 4)(x + 4)(x - 1)(x + 1)
Step-by-step explanation:
Given
[tex]x^{4}[/tex] - 17x² + 16
Use the substitution u = x², then
u² - 17u + 16
Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)
The factors are - 16 and - 1, then
u² - 17u + 16
= (u - 16)(u - 1) ← replace u by x²
= (x² - 16)(x² - 1) ← both factors are difference of squares
= (x - 4)(x + 4)(x - 1)(x + 1)
Answer: -18
Step-by-step explanation: x4-17x2+16= -18
i am not completely sure but here. i hope this helps god bless
Related Questions
Analyze the diagram below and complete the instructions that follow.
7
y
450
X
Find the value of x and the value of y.
A. x = 16, y = 9V2
B. x = 7, y = 16 V2
C. x= 16V/, y = 7.12
D. x= 7/3, y = 16
Answers
Answer:
[tex]A.\ ~~x=16,~ y=9\sqrt{2}[/tex]
Step-by-step explanation:
We have completed the diagram with some lengths that come directly from the figure's symmetry.
Note the triangle formed at the left side of the trapezium is isosceles because it has an angle of 90° and another angle of 45°.
This means the base of the triangle has the same length as the height of 9.
This means the total base of the trapezium is x = 9 + 7 = 16
The right triangle must satisfy Pythagora's Theorem:
[tex]y^2=9^2+9^2[/tex]
[tex]y^2=2*9^2[/tex]
[tex]y=\sqrt{2*9^2}[/tex]
Simplifying the radical:
[tex]y=9\sqrt{2}[/tex]
The correct answer is: [tex]\mathbf{A.\ ~~x=16,~ y=9\sqrt{2}}[/tex]
Arnold has $24 to spend at the movies. His ticket is $12. He bought popcorn, candy bar, and soda. Popcorn is double the prize of the soda. The soda and candy bar are same prize. How much did he pay for the soda?
Answers
Given:
Arnold has $24 to spend at the movies.
Ticket = $12
Popcorn is double the price of the soda.
The soda and candy bar are same price.
To find:
The price for the soda.
Solution:
Let x be the price of soda.
According to the question,
Price of candy = Price of soda = x
Price of popcorn = 2(price of soda) = 2x
Total amount = Ticket + Popcorn + Soda + Candy
[tex]24=12+2x+x+x[/tex]
[tex]24=12+4x[/tex]
[tex]24-12=4x[/tex]
[tex]12=4x[/tex]
Divide both sides by 4.
[tex]\dfrac{12}{4}=x[/tex]
[tex]3=x[/tex]
Therefore, the price of soda is $3.
PLEASE HELP!!!
Segments DE, EF, and DF are midsegments of AABC. Find the length of the indicated
segment.
Answers
Answer:
6
Step-by-step explanation:
You know DF = 6 and EB = 6 too. Since E is the mid-point of AEB, EB and AB are equal.
DF = EB
= AB
= 6
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?
choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble
Answers
Answer:
C) choosing a blue, green or yellow marble.
Step-by-step explanation:
The Complement of choosing a red marble means choosing any other marble that isn't red.
From the question , it was said that there were a blue , green, yellow and red marble.
So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.
Answer:
c
Step-by-step explanation:
Pls help! For finalWhich equation can be solved to find x, the measure of to in the diagram
below?
53
A
Answers
(THIS IS A TEST I NEED HELP)
In the rectangular prism, PQ is the diagonal. Find the length of
PQ given PR = 7, RS = 4, and QS = 4.
A 4
B 9
C 12
D 15
Answers
Answer:
Option (B)
Step-by-step explanation:
Length of PR = 4
RS = 4
QS = 4
For the length of PT,
PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]
PT² = QS² + PR² [Since, RT ≅ QS]
PT² = 4² + 7²
PT² = 16 + 49
PT² = 65
Now for the length of PQ,
PQ² = QT² + PT²
PQ² = RS² + PT² [Since, QT ≅ RS]
PQ² = 4² + 65
PQ² = 16 + 65
PQ = √81
PQ = 9
Therefore, length of diagonal PQ is 9 units.
Option (B) will be the answer.
The complex numbers z1 and z2 are graphed. Which point represents z1 – z2?
Answers
Answer:
A EDGE 2020
Step-by-step explanation:
I got it wrong twice and it gave me the answer :)
The point represents z₁ - z₂ will be A. Then the correct option is A.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as
⇒ a+bi
The complex numbers z₁ and z₂ are graphed.
The expression of z₁ and z₂ are given below.
z₁ = 4 – i
z₂ = –3 – 2i
Then the difference between z₁ and z₂ will be
z₁ - z₂ = (4 – i) – (–3 – 2i)
z₁ - z₂ = 4 – i + 3 + 2i)
z₁ - z₂ = 7 + i
Then the correct option is A.
More about the complex number link is given below.
https://brainly.com/question/10251853
#SPJ2
plzzzzzzzz help
The regular price of a coat is $35.25. During a sale, the coat rang up for $19.99. What was the percent off of the coat during the sale? (5 points)
a
The sale was for a 43% decrease.
b
The sale was for a 76% increase.
c
The sale was for a 76% decrease.
d
The sale was for a 43% increase.
Answers
Answer:
a
The sale was for a 43% decrease.
Step-by-step explanation:
The computation of the percent off of the coat during the sale is shown below:
Regular price is $35.25
And, in the sale the price is $19.99
So, the percent off would be
= ($35.25 - $19.99) ÷ ($19.99)
= 43% decrease
hence, the percent off of the coat during the sale is 43% decrease
Therefore the correct option is a.
And, all the other options are incorrect
Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.
x + y = 6. 15 x + 28 y = 116.
x + y = 6. 28 x + 15 y = 116.
x + y = 116. 15 x + 28 y = 6.
x + y = 116. 28 x + 15 y = 6.
Mark this and return
Answers
Answer:
15x + 28y = 116
x + y = 6
Step-by-step explanation:
Answer:
A :)
Step-by-step explanation:
PLZ HELP ME ITS 30 POINTS TROLLERS WILL BE REPORTED
Answers
Answer:
haha troll go brrr
Step-by-step explanation:
2,4,5 (actual answer)
2-angle MNP (38) is less than angle ONP (39)
4- they are equal by the reflexive property of congruence op
5-is MNP has a lower angle, side MP should have a longer side
MAngle MNP is less than MAngle ONP
Line NP is congruent to Line NP
Line MP is less than Line OP
The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant. What does the point (8,6) represent? If the plants grew 12 mm one season, how much rain fell?
Answers
Answer/Step-by-step explanation:
✔️The point (8, 6) represents seasonal plant growth of 6 mm with 8 cm of rainfall during the growing season.
✔️To determine how much rain fell if the plants grew 12 mm one season, find the value of x (rainfall) when y (plant growth) = 12.
From the graph, when y = 12, x = 16.
This means that when the plant grew 12 mm, 16 cm of rainfall was recorded.
Therefore:
If the plants grew 12 mm one season, 16 cm rainfall fell.
The first equation in the system of equations that models this situation is x+y=70, where x represents the number of 2-point questions the number of 4-point questions. What is the other equation in the system? Enter the correct answer in the box. Substitute numerical values in the expression for A, B, and C.
Answers
Answer:
2x+4y=150
Step-by-step explanation:
Top answer is right as it is shown in the picture below!
When solving an equation, Gabrielle’s first step is shown below. Which property justifies Gabrielle’s first step?
Original Equation:
-2-2x+4=5
First Step:
-2x-2+4=5
Answers
true or false:
Question attached:
Answers
Answer:
true
Step-by-step explanation:
Using the equation below, determine the following:
y=-32-17
SLOPE:
Y-INTERCEPT:
Answers
Answer:
slope: 0
y-intercept:(0,49)
Step-by-step explanation:
Hope this helps!
Answer:
SLOPE: 0
Y -INTERCEPT: 49
Step-by-step explanation:
y = -32 - 17 (collect like terms)
y = 49
The slope would be zero because it doesn't have an x-intercept.
The line would look like this..
49 -------------------------------------------- completely flat like the floor so zero slope.
HOPE THIS HELPS!1
Find the slope and the y-intercept of the graph of y=−45x−2.
Answers
Answer:
Slope: -45
Y-intercept: -2
Step-by-step explanation:
The expression is written in slope-intercept form or y=mx+b.
mx is the slope and b is the slope intercept
A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75. An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65. If you were to conduct a test to determine whether the auditor should conclude that there is evidence that the mean balance is different from $75, which test would you use? a) Z-test of a population mean b) Z-test of a population proportion c) t-test of population mean d) t-test of a population proportion
Answers
Answer:
c) t-test of population mean
Explanation:
The t-test statistic is used in hypothesis testing. Here we would use a one sample t test to test our hypothesis. The one sample t test measures the statistical difference between the hypothesized mean and the sample mean. In a one sample t test or single sample t test, a test variable is measured against a test value.
Example we compare our test variable to the hypothesized mean value $75 above.
The t test is used instead of z score when standard deviation is unknown.
Using the t test, we either accept or reject the null hypothesis given alternative hypothesis.
The sales tax on a $750 computer at T&C Computers is $75. What is the sales tax rate? BTW
ANSWER IS 10%
Answers
Answer:
10%
Step-by-step explanation:
Price of computer = $750
Amount of sales tax = $75
Sales tax rate = Amount of sales tax / Price of computer × 100
= $75 / $750 × 100
= 0.1 × 100
= 10%
Sales tax rate = 10%
Sales tax rate = 10% of selling price
a plane has fees for 420 passengers 15% of the seats are empty how many passengers are on the plane
Answers
Answer:
357 passengers
Step-by-step explanation:
[tex]\frac{x}{420}=\frac{85}{100}[/tex] (The [tex]\frac{85}{100}[/tex] is 85% of the 100% people because 15% is missing)
When you cross-simplify you get: [tex]\frac{x}{21}=\frac{85}{5}[/tex] which is [tex]\frac{x}{21}=17[/tex]
Finally, multiply 17 by 21 to get x.
Therefore, x=357
Pls answer I need help!
Answers
Dividing fractions is the same as multiplying the reciprocal.
As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.
Keep: [tex]\frac{4}{9}[/tex]
Switch: the division sign to multiplication.
Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].
Now, your problem looks like this:
[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)
Multiply across.
4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.
You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year?
Answers
Answer:
Choice A. $2,392 is the correct answer
3[ 9 - ( 6 - 3 ) ] - 10
Answers
Answer:
The answer is 8
Step-by-step explanation:
Pay attention bro
IF YOU ANSWER THE QUESTION IN THE LINK OF BRAINLY i WILL DO AN ESSAY FOR YOU!!!!!!!!!!!!! PLEASE AN ALGEBRA QUESTION IN EXCHANGE FOR SOMETHING YOU WANT JUST PLEASE ANSWER!!!!
Here's the link check it out!!! IT WAS DUE A WEEKZZ AGOOO
https://brainly.com/question/19688340
DONT ANSWER THIS QUESTION ONLY THE LINK!!
Answers
Answer:
Heredity refers to the genetic heritage passed down by our biological parents. It’s why we look like them! More specifically, it is the transmission of traits from one generation to the next. These traits can be physical, such as eye color, blood type or a disease, or behavioral. For example, the hygienic behavior of honeybees that drives them to remove sick larvae from the nest is inherited behavior.
PLEASE HELP!!
What is the slope for runner 1 and runner 2 ?
Answers
A person who is 2 m tall casts a shadow that is 5 m long. At the same time, a building casts a shadow that is
24 m long. How tall is the building? Please show me how u get the answer
Answers
Answer:
9.6
Step-by-step explanation:
First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.
Solve for x
2(X-5) +6=7(X-1)-2 (x -6)
Answers
Answer:
x = - 3
Step-by-step explanation:
2x - 10 + 6 = 7x - 7 - 2x + 12
2x - 4 = 5x + 5
- 5 - 4 = 5x - 2x
-9 = 3x
x = - 9/3
x = - 3
diagram of ABCD to find m
Answers
Answer:
since the pairs of opposite lines in the diagram are parallel the measurement of B is also 63
to fine A and C simply subtract 180 - 63 which gives us 117 so
A = 117
B = 63
C = 117
D = 63
1. y = x2 + 2x – 8
Axis of Symmetry:
Vertex:
Domain:
Range:
Answers
Answer:
Axis of Symmetry: x=-1
Vertex: (-1,-9)
Domain: (- ∞ ,∞ )
Range: (-9,∞ )
Step-by-step explanation:
ms. daring just finished a 7 mile run.
how long (in minutes) do you think it took ms. daring (she ran cross country in college even though she is more of a sprinter!)
Answers
Answer:
11.265 minutes.
Step-by-step explanation:
A minute is about a a kilometer so 7 miles is about 11.265 minutes.
Find the square root of the fraction 4/49.
A 2/7
B 7/2
C Cannot be done
Answers
Answer:
A
Step-by-step explanation:
2 times 2 = 4
7 times 7 = 49
2/7 = 4/49
Hope this helps!!!