Show all work to factor x4 – 17x2 + 16 completely.
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
If a sprinkler waters 1 over 14 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn?
1 over 7 hour
4 over 7 hour
4 hours
7 hours
Answer:
7 hours
Step-by-step explanation:
2 divided by 14
i hope this helped
Answer:
7 hours
Step-by-step explanation:
Determine the solution for the equation, 5w - 9= 44.
A) w=10.6
B) W=7
C) w=12.2
D) w=5.8
Answer:
A) 10.6
Step-by-step explanation:
5w - 9 = 44
Add 9 to both sides.
5w = 53
Divide by 5.
w = 10.6
help me find the scale factor please!!
Answer:1.5 i think
Step-by-step explanation:
Answer:
the scale factor is 2/3
Step-by-step explanation:
to find the scale factor plug in values to [tex]\frac{new}{old}[/tex]
the new figure is the one in which the scale factor is applied to, and the old is the original figure
so for new take any side from the dilated figure, I will pick HI, the size is 4
for old use what is congruent to HI, so OL, which is 6
plug this into your fraction and you get 4/6
this simplifies to 2/3
A baseball team scored 5 more runs in its second game than its first. The team scored twice as many runs as the first game in the third game. The total number of runs in all three games was 29. How many runs were scored in the second game?
Answer:
a lot
Step-by-step explanation:
If baseball team scored 5 more runs in its second game than its first. The team scored twice as many runs as the first game in the third game. The total number of runs in all three games was 29.Then 11 runs were scored in the second game
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let the runs scored by team in first game be x.
The team scored 5 more runs in its second game than its first.
x+5
The team scored twice as many runs as the first game in the third game.
2x
The total number of runs in all three games was 29
This we can write as x+x+5+2x=29
Add x variable terms
4x+5=29
Subtract 5 on both sides
4x=24
x=6
So the score in the second game will be x+5=6+5=11
Hence, 11 runs were scored in the second game
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For the function f(x)=3x-4 find f(2)
Hi there!
[tex]\large\boxed{f(2) = 2}[/tex]
Evaluate f(x) at x = 2 by substituting 2 for x:
f(x) = 3x - 4
f(2) = 3(2) - 4
f(2) = 6 - 4
f(2) = 2
is 7:11 eqaul to 21: 33
Answer:
yes
Step-by-step explanation:
Find the gradient of the line with equation Y=3-x
Step-by-step explanation:
Gradient = Coefficient of x = -1.
Please help brainliest if correct
Answer: H
Step-by-step explanation:
7% of 21 is 1.47
Answer:
H. 1.47$ tax
Step-by-step explanation:
price of pants is 21 plus 7 percent tax
21/100=0.21
0.21 is 1 percent multiply by 7
1.47 dollars tax
''The world shall know pain'' Me: Pain or Pain???????????????
Answer:
PAIN
Step-by-step explanation:
help me and get brainiest, like, and 5 starts!
Plz help!
What is the unit cost for 3 lbs. of apples for $7.40? Round to the nearest cent.
Answer:
answer is 2.47
I need help by score is going down
Answer:
JUST DO IT!
Step-by-step explanation:
Motivation
Will mark brainliest for whoever answers
plzzz help answer tyhese
The slope is m=2 in the first picture. Can be done by rise/run.
The second graph has an undefined slope. Using rise/run would get the run value = 0 and that'd make the slope undefined because the denominator cannot be 0.
may someone help me with these 2 again
Answer:
1. 180
2. x = 31
Step-by-step explanation:
1. the sum of the interior angles of every triangle is always 180
2. using what we know from problem 1, we can create an equation:
x + 10 + 2x - 5 + 2x + 20 = 180
add like terms: 5x + 25 = 180
subtract 25 from both sides: 5x = 155
divide both sides by 5: x = 31
Jasper withdrew $45.00 from her savings account. She then used her debit card to buy groceries for $30.15, and then deposited a check for $14.65. What was the total amount of change in Jasper’s account?
Answer:
A money decrease of $60.50 (or -60.50 increase and change)
Step-by-step explanation:
? - 45 - 30.15 + 14.65 = -60.50
Since we are finding the change it is best to replace the question mark with 0 so that it is easier to solve.
0 - 45 = -45
-45 - 30.15 = -75.25
-75.25 + 14.65 = -60.50
pls help (-12) ⋅ c = 12
c = ?
Answer:
c= -1
Step-by-step explanation:
A negative number multiplied by another negative number equals a positive number, so c must be negative. 12 times 1 equals 12, so c must be -1.
Find the midpoint of the line segment with end coordinates of: ( − 1 , 7 ) and ( 3 , − 2 ) Give coordinates as decimals where appropriate.
FIRST ANSWER GETS BRAINLIEST HURRY UP YALL
Answer........................
7
5
3
1
-1
question is in the picture
Answer:
The second and fourth options
Step-by-step explanation:
A function is where one the inputs have only one output. In this case all we have to do is look at the x value (x,y) and see when it goes 1,2,3,4 and that means there are no repeating x and in that case each input has only one output. If you look at the other ones they have a repeating x and that means the input has two outputs and therefore it isn't a function.
URGENT! TIMED QUESTION, WILL GIVE BRAINLIEST!
The height of a punted football is modeled by the following quadratic function:
h(t) - -5t2 . 40
where the height is measured in meters after t seconds.
+
a. How many seconds will it take the ball to hit the ground?
c. What is the maximum height of the ball?
Answer:
Step-by-step explanation:
Part a
When the ball hits the ground it has covered the height of zero meters so we replace h(t) with zero
[tex]h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\[/tex]
So it will take 8 seconds for the ball to hit the ground we another value
t = 0 seconds is when the ball was thrown and after 8 seconds the balls hits the ground
Part c
The ball reaches its maximum height when the velocity is zero.
So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.
[tex]v=-10t+40[/tex]
so now we replace the velocity which is v with a zero because the ball reaches its maximum height when the velocity is zero.
[tex]0=-10t+40\\10t=40\\t=40/10\\t=4[/tex]
so now we insert the value of t = 4 into the equation of h(t) to get the height.
[tex]h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\[/tex]
so the maximum height of the ball is 80 meters.
Part d
The y-intercept of the graph is zero, and it represents that there is no initial height covered by the ball or the ball is actually thrown from already a height of x meters, as we can see from the equation the y-intercept is zero which means the height covered by the ball is 0 meters when time is zero.
So the point is actually at the Origin (0 , 0).
Part e
We can see that the origin (0 ,0) and (8,0) are the x-intercepts of the graph as solved from part A
We can see that the stationary point or the maximum point is at (4,80) which means the maximum height of the ball is 80 meters when the time is 4 seconds as solved in part C
Graph attached.
The slope of the line below is -3. Which of the following is the point-slope form of the line?
Answer:
A. y+6 = -3(x-2)
Step-by-step explanation:
The slope point formula is:
y - y₁ = m (x - x₁)
Our slope is negative 3, and our coordinates given are 2 and -6.
Substitute -3 for m, -6 for y₁, and 2 for x₁
y - (-6) = -3 (x - 2)
Negative and negative multiplied together make postive
A. y+6 = -3 (x-2)
can anyon help i have no idea
Answer:
3.65 through 3.74
Step-by-step explanation:
Brenda and Cody are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Brenda sold 12 small boxes of tangerines and 1 large box of tangerines for a total of $151. Cody sold 1 small box of tangerines and 3 large boxes of tangerines for a total of $68. Find the cost each of one small box of tangerines and one large box of tangerines
Answer:the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19
Step-by-step explanation:
Step 1
Let price of small box of tangerines be represented as x
and price of large box of tangerines be represented as y
Such that the equqtion for Brenda who sold 12 small boxes of tangerines and 1 large box of tangerines for a total of $151 be represented as
12x + y = 151--------equation 1
and
the equation for Cody who 1 small box of tangerines and 3 large boxes of tangerines for a total of $68
x + 3y= 68-------equation 2
Step 2
12x + y = 151--------equation 1
x + 3y= 68-------equation 2
By eliminaton methd multiply equation 2 by 12
x + 3y= 68-------equation 2 x (12)
12x + 36y=816 --------equation 3
Subtract equation 1 from equation 3
12x + 36y=816 --------equation 3
-12x + y = 151--------equation 1
35y=665
y=665/35 =19
to get x , we substitute the value of y=19 into equation2
x + 3y= 68
x+ 3 x 19=68
x=68-57
x=11
Therefore the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19
If ∠1≅∠2, then ___...
a) ∠5≅∠6, angle 5 is congruent to angle 6
b) ∠3≅∠4, angle 3 is congruent to angle 4
c) XK≅YK
d )GK≅HK
e)All of the above are true
Answer: All of thé above
Step-by-step explanation:
Can I conclude ? (Please don’t be wrong I’ll give brainlist)
Answer:
yes because of the side-angle-side theorem
Step-by-step explanation:
it took Corinne 3 hours to do 12 pages of homework.How many pages of homework did she do per hour?
Answer:
4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Step-by-step explanation:
12÷3=4
A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test.
The table below shows the data:
(Table In Image)
Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer.
Part B: Write a function which best fits the data.
Part C: What does the slope and y-intercept of the plot indicate?
yes there is a a correlation
f(x) = 4x + 60
slope = 4
y-intercept = 60
There is a correlation between the number of hours spent on studies and the score on music test.
How to explain the correlation?As we increase the 0.5 hour on studying, then the music score increases by 2. The function which best fits the data for the correlation is y=60 + 4x
The slope and y-intercept of the plot indicate? that Y= score obtained in music test and X=number of hours spent on studying. The slope of the above equation represent the rate of increase in music score with respect to an increase in the number of hours spent on studying.
The y-intercept gives the music score when the number of hours spent on studying is zero.
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6. Complete the pattern: 4, 8, 12, 16,
Answer:20,24,28,32
Step-by-step explanation:
Answer:
20, 24, 28, 32
Step-by-step explanation:
The sequence is counting by 4. Wasn't sure how many numbers you were looking for, but if you need more than what was given in the answer then keep counting up by 4.