(h ◦ f)(x) is the composition of h(x) with f(x),
(h ◦ f)(x) = h(f(x))
which we can compute by simplying replacing in h(x) every instance of x with f(x) itself:
(h ◦ f)(x) = h(f(x))
(h ◦ f)(x) = h(5x - 1)
(h ◦ f)(x) = -(5x - 1) + 5
(h ◦ f)(x) = -5x + 1 + 5
(h ◦ f)(x) = -5x + 6
Then
(h ◦ f)(3) = -5 • 3 + 6
(h ◦ f)(3) = -15 + 6
(h ◦ f)(3) = -9
If x - m is a factor of 2x^2 - x - 3, what is the value of m?
Answer:
The given quadratic expression can be factored as (2x - 3)(x + 1).
So x + 1 = x - m ⇒ m = -1.
Step-by-step explanation:
Answer:
I hope this helps, you can ask any questions for clarification
How many seconds is 3.25 hours
Answer:
a total of 11700 senconds are on 3.25 hours
Johnson has 19 bowls of ice cream he gives away d ice cream bowls write the expression that shows the number of ice cream bowls are left?
Answer:
19 -d
Step-by-step explanation:
The number Johnson has left is found by subtracting the number he gave away from the number he started with.
19 -d . . . . . . . number of ice cream bowls left
i need help with this one
The value of x from the given figure is 8
How to calculate the interior angle of a triangleA triangle is a 2-dimensional shape with 3 sides an interior angle
Since the sum of the interior angles of a triangle is 180 degrees, hence;
8x - 4 + 76 + 44 = 180
8x + 116 = 180
8x = 180 - 116
8x = 64
x = 64/8
x = 8
Hence the value of x from the given figure is 8
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What is the radius of a circle with a Circumference of 64 pi yards?
HELP ME PLEASE 30 points, HELP
Answer:A
Step-by-step explanation:
When you translate you are simply moving the shape up, down, left right. You are not rotating it or chanding it's orientation.
Answer: the answer is B
Step-by-step explanation: B because it would’ve reflected off of the 1st quadrant on a grid so it would be facing the opposite direction.
• You spend 44 more minutes
organizing your bookshelf than
you do sweeping the kitchen
floor. You spend 56 minutes
organizing your bookshelf.
How much time do you spend
sweeping the kitchen floor?
a company puts 23 buttons in each of its containers. how many buttons are needed for 562 containers?
Answer:
12,926
Step-by-step explanation:
23 x 562 = 12,926
. Mai skated miles, and Clare skated farther than that. Write an equation to Accelerated 6 Unit 6 Lesson 1 represent the relationship between the distance Mai skated ( ) and the distance Clare skated ( ).
Answer:
X over y or x/y since y is claire and she skated more
Step-by-step explanation:
since y is claire and she skated more
Y=Clarie skated
X= Mai skated
Help. What is the aswer?
Answer:
12+6.25pi= 31.63495408 Ft squared
Step-by-step explanation:
Area of each individual triangle is 3 by 4 by 1/2
Area of each semicircle is 1/2 2.5 ^2 pi
Find the axis of symmetry and the vertex of the graph of y = 6x2 − 24x + 11.
A. x = 2; (2, −13)
B. x = 4; (4, 11)
C. x = −2; (−2, 83)
D .x = −4; (−4, −11)
Answer:
I believe its b
Step-by-step explanation:
40 POINTS!! Douglas is placing strings of lights around the edge of a circular patio with a diameter of 7.5 meters. The lights are in lengths of 1.45 meters. What is the best approximation for how many strings of lights Douglas needs? Use 3.14 to approximate for π.
5 strings
11 strings
17 strings
122 strings
Answer:
17
Step-by-step explanation:
...................
[tex]tan((x/2)-(pi /2))=\sqrt2[/tex]
[tex]\textit{Cofunction Identities} \\\\ sin\left(\theta-\frac{\pi}{2}\right)=-cos(\theta) \qquad\qquad cos\left(\theta-\frac{\pi}{2}\right)=+sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan\left(\frac{x}{2}~~ - ~~\frac{\pi }{2} \right)~~ = ~~\sqrt{2}\qquad \qquad \qquad \stackrel{\textit{let's make for a second}}{\cfrac{x}{2}=\theta } \\\\[-0.35em] ~\dotfill[/tex]
[tex]tan\left(\theta-\frac{\pi}{2}\right)\implies \cfrac{sin\left(\theta-\frac{\pi}{2}\right)}{cos\left(\theta-\frac{\pi}{2}\right)}\implies \cfrac{-cos(\theta )}{+sin(\theta )}\implies -cot(\theta )\implies -cot\left( \frac{x}{2} \right)[/tex]
[tex]-cot\left( \frac{x}{2} \right)~~ = ~~\sqrt{2}\implies cot\left( \frac{x}{2} \right)=-\sqrt{2} \\\\\\ cot^{-1}\left[ cot\left( \frac{x}{2} \right) \right]=cot^{-1}\left(-\sqrt{2} \right)\implies \cfrac{x}{2}=cot^{-1}\left(-\sqrt{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=2\left[ cot^{-1}\left(-\sqrt{2} \right) \right]~\hfill[/tex]
Jacob wants to determine the principal amount still owed on his mortgage loan. He knows that the interest portion of his last monthly payment was $391.42. If he is paying interest at the rate of 11½%, what was the outstanding balance of the loan before that last payment was made?
If the interest rate is 11½%. The outstanding balance of the loan before that last payment was made is:$40,843.83.
Loan Oustanding balanceFirst step is to find the annual interest
Annual interest= $391.42 x 12
Annual interest= $4,697.04
Second step is to calculate the outstanding balance
Outstanding balance=Annual interest/Interest rate
Oustanding balance= $4,697.04/ 11½%,
Outstanding balance =$40,843.826
Outsatnding balance= $40,843.83 (Approximately)
Therefore the outstanding balance of the loan before that last payment was made is:$40,843.83.
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Please help the assignment is due today
Answer:
D
Step-by-step explanation:
The equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58
How to determine the circle equation?The given parameters are:
Center, (a,b) = (3,1)Point, (x,y) = (0,-6)Start by calculating the radius using:
r^2 = (x -a)^2 +(y - b)^2
So, we have:
r^2 = (0 -3)^2 +(-6 - 1)^2
Evaluate
r^2 = 58
The circle equation is then calculated using:
(x -a)^2 +(y - b)^2 = r^2
This gives
(x -3)^2 +(y - 1)^2 = 58
Hence, the equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58
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Which linear line equation has no solution?
Answer:
4x+7=3x+7
Step-by-step explanation:
-3(2x-5)=15-6x is infinite solution
top left is x=-3
top right is x=5 5x
-15(y2)4 divide 5y3y4
Answer:
-3y
Step-by-step explanation:
-15(y2)4 ÷5y3y4
Rewrite the division as a fraction
-15(y2)4
5y3y4
Multiply y3 by y4 by adding the exponents
-5(y2)4
5y7
Cancel the common factor of -15 and 5
-3(y2)4
y7
Multiply the exponents in (y2)4
-3y8
y7
Cancel the common factor of y8 and y7
Factor y7 out of -3y8
y7(-3y)
y7
Multiply by 1
y7(-3y)
y7 × 1
Cancel the common factor which is y7 and y7
Rewrite the expression
-3y
1
Divide -3y by 1
-3y
Vera has challenged Alexey to a round of Marker Mixup. Marker Mixup is a game where there is a bag of 5 red markers numbered 1 through 5, and another bag with 5 green markers numbered 6 through 10
Alexey will grab 1 marker from each bag, and if the 2 markers add up to more than 12 he will win If the sum is exactly 12, he will break even, and If the sum is less than 12, he will lose $6
What is Alexey's expected value of playing Marker Mixup?
Answer:
Step-by-step explanation:
The total possble combinations = 5 * 5 = 25 ways.
The number of ways to get exactly 12
= 2,10 3,9 4,8 5,7 = 4 ways.
The ways to get > 12
= 3,10 4,9 4,10 5,8 5,9 5,10 = 6 ways.
So the number of ways to get < 12 = 25 - 4 - 6 = 15 ways.
Expected value
= 4(0) + 6(x) + 15(-6)
I have written x as you have not said how much he gets if he wins.
Answer:
−$2.40
Step-by-step explanation:
correct on khan
can somebody help me on this pleaseee
Answer:
B I think or C or D or it could be A
Which of the numbers listed below are solutions to the equation? Check all
that apply.
x² =-7
A. - 77
B. 49
C.-3.5
D. 17
DE.-7.
DF. None of these
Answer:C is the right answer
Step-by-step explanation:
Please give me the answers to all three I will mark u brilliant
Answer:
First know the formula for the area of a circle;
A = π[tex]r^{2}[/tex]Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.
For the first problem, we can see that 12 is our diameter.
And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;
D/2 = R
Replace with actual values;
12/2 = 6, 6 is our radius.
Now we plug this into our formula:
A = π[tex]r^{2}[/tex]
A = 3.14(6^2)
A = 3.14(36)
A = 113.04 centimetres is the area of the circle.
For the second problem, we can see that 18 is our diameter.
And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.
So;
D/2 = R
18/2 = 9, 9 is our radius.
Now we plug this into our formula:
A = π[tex]r^{2}[/tex]
A = 3.14(9^2)
A = 3.14(81)
A = 254.34 inches is the area for this circle.
For the third problem, we can see that our radius is already given, 5.
So now we just simply and easily plug this into our formula;
A = π[tex]r^{2}[/tex]
A = 3.14(5^2)
A = 3.14(25)
A = 78.5 meters is the area for this circle.
What is 9C7 ?
A. 66
B. 55
C. 45
D. 36
Answer:
D. 36
Step-by-step explanation:
The formula for a combination :
ⁿCₓ = n! / (n - x)! x!Here we have ⁹C₇.
⁹C₇ = 9! / (9 - 7)! 7! = 9! / 2! x 7!9 x 8 x 7! / 2! x 7!9 x 8 / 236There are 36 different ways to arrange ⁹C₇. Therefore, the correct answer is option D.
Given that, ⁹C₇.
The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
⁹C₇ = 9!/7!(9-7)!
= 9×8×7!/7!×2!
= 9×8/2×1
= 9×4
= 36
Therefore, the correct answer is option D.
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The basketball team has four players who can play the center position. Their heights (in
inches) are 78, 80, 77, and 80.
a) List all 6 possible SRSs of size n = 2, calculate the mean height for each sample.
b) Display the sampling distribution of the sample mean on a dotplot.
c) If the sample size was increased to n = 3, what would happen to the sampling distribution?
(statistics)
The mean height for each sample from the basketball team will be 79, 77.5, 79, 78.5, 80, and 78.5
How to calculate mean?For sample 1, the mean will be:
= (78 + 80)/2 = 79.
For sample 2, the mean will be:
= (78 + 77)/2 = 77.5
For sample 3, the mean will be:
= (78 + 80)/2 = 79
For sample 4, the mean will be:
= (80 + 77)/2 = 78.5
For sample 5, the mean will be:
= (80 + 80)/2 = 80
For sample 6, the mean will be:
= (77 + 80)/2 = 78.5
When the sample size was increased to n = 3, the shape of the sampling distribution becomes bell shaped on the population mean.
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Please answer the questions below
Answer:
see explanation
Step-by-step explanation:
(3)
Parallel lines have equal slopes
the equation of a line in sloipe- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{4}[/tex] x + 5 ⇒ m = [tex]\frac{1}{4}[/tex]
y = 4x + 5 ⇒ m = 4
y = - 4x + 5 ⇒ m = - 4
y = - 4x - 9 ⇒ m = - 4
the 3rd and 4th options have equal slopes and are parallel
(4)
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
y = [tex]\frac{1}{6}[/tex] x + 4 ⇒ m = [tex]\frac{1}{6}[/tex]
y = - [tex]\frac{1}{6}[/tex] x + 5 ⇒ m = - [tex]\frac{1}{6}[/tex]
y = [tex]\frac{1}{6}[/tex] x + 3 ⇒ m = [tex]\frac{1}{6}[/tex]
y = 6x + 3 ⇒ m = 6
note that a slope of m = 6 , has a perpendicular slope of
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{6}[/tex]
the 2nd and 4th lines are perpendicular
Which inequality is correct?
0.22<0.18
0.22>0.22
0.41<0.08
0.41>0.02
Answer:
Correct answer is the first one I think. hope this helps
FIND THE VALUES OF X AND Z FOR BRAINLIEST! :)))
Answer:
x = 20
z = 87
Step-by-step explanation:
Suplementary angles:
9x - 87 + 87 = 180
9x = 180
x = 20
Vertical angles:
z = 87
Answer:
z=87 x=20
Step-by-step explanation:
z=87 because vertical angles are congruent
87x2=174
360-84 =186
186/2=93 (the other 2 vertical angles are 93 each)
9x-87 =93
9x=180
x=20
Solve for the value of k.
(k+1)°
42°
Find the area of the figure
answer:
178.5398mm²
explanation:
attached
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if this helped, please consider giving brainliest !
Frank bought 20 pounds of sugar for $10. How many pounds of sugar did he get per dollar?
Answer:
$2
Step-by-step explanation:
20lb divided by $10.
20 divided by 10 is 2
Simplify the expression shown. [(25 × 16) + (75 × 16)] ÷ (3 + (-3) – 10)
Answer:
-160 or in alternative form -1.6x10[tex]{2}[/tex]
Step-by-step explanation
1600 divide -10 equals to -160