Answer:
Step-by-step explanation:f(h(x))= 2x -21
f(x)= x^3 - 6
h(x)=\sqrt[3]{2x-15}
WE need to find f(h(x)), use composition of functions
Plug in h(x)
f(h(x))=f(\sqrt[3]{2x-15})
Now we plug in f(x) in f(x)
f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6
cube and cube root will get cancelled
f(h(x))= 2x-15 -6= 2 x-21
ASAP WILL MARK BRAINLIEST
Four solutions.
This is an example of a non-linear (this one is quadratic) system with 2 variables. Quadratic equations have 2 roots, this system has two equations that means 4 solutions.
Hope this helps.
PLZ HELP SPEEDY A line has a slope of -2 and a y-intercept of –3. Graph the line using the slope and y-intercept.
Which of the following points lie on this same line?
(–2, 0)
(–1.5, 0)
(–6, 9)
(2, –3)
(3, –9)
(–4, 4)
Answer: (-1.5,0), (-6,9), (3, -9)
Step-by-step explanation:
What is the equation of the vertical line through (-8, 5)
Answer:
The equation of the vertical line passing through the point (-8, 5) will be:
[tex]x=-8[/tex]Step-by-step explanation:
As we have to determine the equations for the horizontal and vertical lines passing through the point (-8, 5).
To determine the equation for the vertical line passing through the point (-8, 5), we must observe that the vertical line will always have the same x-value regardless of y-values.
Therefore, the equation of the vertical line passing through the point (-8, 5) will be:
[tex]x=-8[/tex]Tom rented a truck for one day. There was a base fee of $14.95, and there was an additional charge of 73 cents for each mile driven. Tom had to pay $220.81 when he returned the truck. For how many miles did he drive the truck?
Answer:
Tom drove 282 miles.
Step-by-step explanation:
x = number of miles driven
220.81 = 14.95 + 0.73x
-14.95 -14.93
205.86 = 0.73x
/0.73 /0.73
282 = x
Hope this helps!
soooo yea uh i need help :'3
2 1/3 feet :4 1/2 feet
help
[tex]2 \frac{1}{3} : 4 \frac{1}{2} \\ = \frac{7}{3} : \frac{9}{2} \\ = 14:27[/tex]
what is the name of the triangle
Answer:
What is the name of the triangle
Ans) triangle with all sides equal is called equilateral, a triangle with two sides equal is called isosceles, and a triangle with all sides a different length is called scalene. A triangle can be simultaneously right and isosceles, in which case it is known as an isosceles right triangle
Step-by-step explanation:
There shall be a picture so that you say its name
Hope it helps
Answer:
answer is C. isosceles
because of the two equal sides so it cant be equilateral and it can be right angle because it doesn't have a perpendicular bisector
Step-by-step explanation:
Bailey can put x houses of his holiday miniature village on each of 7 shelves. He also has 10 houses displayed on his buffet. If he wants to display at least 45 of his houses, how many houses must he put on each of the 7 shelves? Write an inequality to represent this situation
Answer:
7x + 10 ≥ 45
Step-by-step explanation:
Given that:
Number of shelves = 7
Number of houses to display on each shelf = x
Number of houses to display = atleast 45 (≥)
Number displayed on buffet = 10
Number displayed on buffet + (number of shelves * number per shelf) ≥ number of houses to display
10 + (7 * x) ≥ 45
7x + 10 ≥ 45
Figure A is a scale image of figure B. What is the value of x?
Answer:
The value of x = 20.
Step-by-step explanation:
Figure B is the scale image of A.
It is clear that:
side 10 of figure A has the image side of 12.5 in figure B.which can be obtained by multiplying 10 with 1.25
i.e.
10*1.25=12.5so the side 16 of figure A must have to be multiplied by 1.25 to get the image the figure B.
so
16*1.25=20Therefore, the value of x = 20.
By how much does 2/3 of 12 exceed 3/7 of 5
Answer: 5.872
Step-by-step explanation:
Two thirds of twelve is eight and three sevenths of five is around 2.14 so subtract 2.14 from eight and you get the answer above
I need help with this
1.)
Domain:2,2,-8,-9,-3
Range:3,-7,-2,6,-9
2.)
Domain:-2,1,6,-6,1
Range:5,-5,-6,8,6
The Domain is the x-value and the range is the y-value.
Hope this helps!!
PLEASE HELP ASAP!!!!!!! 26 points
If Serena puts $1000 in a savings account that pays 2% interest compounded annualy, how much money will she have in the account after 10 years? (Hint: To find the amount of money after 1 year. multiply by 1.02.)
Answer:
5000
Step-by-step explanation:
1000 ÷ 2 = 500 x 10 = 5000
Answer:
$1221.19Step-by-step explanation:
Formula for compound interest:
A= P(1+r/n)^n x t
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
We know that Serena pays annually meaning yearly (12 months or 1 year)
So after substituting all the numbers in,
A= 1000(1+0.02/12)^(12x10)
We change the rate to 0.02 because we must divide 2% by 100%. And divide the rate by number of times applied per time (n).
DISCLAIMER:
I have not done compound interest questions in a long time but if you want to confirm my answer, go to a calculator site and just input the numbers on there.
Given f(x) = 3x^3 - 8x + k, and x – 1 is a factor of f(x), then what is the value
of k?
Answer:
k = 5
Step-by-step explanation:
Given that (x - h) is a factor of f(x) then f(h) = 0
Given (x - 1) is a factor of f(x), then f(1) = 0, that is
3(1)³ - 8(1) + k = 0
3 - 8 + k = 0
- 5 + k = 0 ( add 5 to both sides )
k = 5
The value of k in the polynomial f(x) = 3x³ - 8x + k is 5.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, f(x) = 3x³ - 8x + k, and (x - 1) ⇒ x = 1 is a factor of f(x),
∴ If we replace 1 in place x and make f(x) = 0 and equate we will have the value of k.
So, 0 = 3(1) - 8(1) + k.
0 = 3 - 8 + k.
k = 5.
learn more about factor of a polynomial here :
https://brainly.com/question/28315959
#SPJ2
The conference room can hold fewer
than 100 people
Answer:
ok
Step-by-step explanation:
Answer:
Is there any attachments to this question?
Step-by-step explanation:
is the relation a function?
choose correctly
marking brainlist
Answer: D. This relation is not a function because the input 18 has two different outputs, 9 and 24.
Step-by-step explanation: Remember that in order for it to be a function, each input has one output. There can't be 2 x-values because it would immediately cause it to not be a function.
Brainliest!!
Which of the following angle pairs are supplementary?
A. 40 and 50
B. 111 and 79
C. 36 and 64
D. 111 and 69
Answer:
d
Step-by-step explanation:
BC supplementary means they add up to 180 and answer d adds up to 180
An architect planned to construct two similar stone pyramid structures in a park. The
figure below shows the front view of the pyramids in her plan, but there is an error in
the dimensions:
Which of the following changes should she make to the length of side AB to correct
her error? (6 points)
1) Change the length of side AB to 2 feet
2) Change the length of side AB to 8 feet
3) Change the length of side AB to 1 foot
4) Change the length of side AB to 4 feet
Answer:
1) Change the length of side AB to 2 feet
Step-by-step explanation:
Given that both structures are similar, it follows that the ratio of their corresponding lengths are equal.
To find out what should be the correct length of AB that she should change to, set up the proportion showing the ratio of 2 corresponding lengths of both structures. Thus:
[tex] \frac{PR}{AC} = \frac{PQ}{AB} [/tex]
We will assume AB is unknown.
PR = 7.5 ft
AC = 2.5 ft
PQ = 6 ft
Plug in the values into the equation
[tex] \frac{7.5}{2.5} = \frac{6}{AB} [/tex]
Cross multiply
[tex] AB*7.5 = 6*2.5 [/tex]
[tex] AB*7.5 = 15 [/tex]
Divide both sides by 7.5
[tex] AB = 2 [/tex]
The architect should change the length of AB to 2 ft
Find the value of x.
Answer:
x = 44°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
x° + 104° + 32° = 180°
Step 2: Solve for x
Combine like terms: x + 136 = 180Subtract 136 on both sides: x = 44°Answer:
44°
Step-by-step explanation:
Because Sum of three angles of a triangle equals 180 °
So 180°-(104°+32°)
=180°-72°
=44°
Hurry please help ASAP !!!
Answer:
vertical angles
Step-by-step explanation:
how do i find the value of x?
Answer:
x = 18 (verified by algebra) ✅Step-by-step explanation:
When we have two similar triangles, we can use a proportion to determine an unknown value.
[tex]\frac{2x + 80}{87} = \frac{80}{60}[/tex]
We will cross multiply to get two equivalent equations that can be solved.
(2x + 80) x 60 = 120x + 4800
We can simplify this by dividing both sides by 24 to get a much simpler equation to work with: 5x + 200.
80 x 87 = 6960
We will also divide this by 24. The answer is 290
5x + 200 = 290
Subtract 200
5x = 90
Divide by 5
x = 18
Now, we can also check to make sure we did everything correctly.
(2(18) + 80) x 60 = 120x + 4800
(36 + 80) x 60 = 120(18) + 4800
116 x 60 = 2160 + 4800
6960 = 6960 ✅
please helppppppppppp!
Answer:
3y - x = 21
Step-by-step explanation:
Answer:
3y - x = 21
Step-by-step explanation:
y = -3x - 8
The perpendicular line has the reciprocal slope.
So, the slope of this perpendicular line would be 1/3.
The equation that has the slope of 1/3 is 3y - x = 21.
Hope this helps!
A bagel and a slice of pie cost $4. The slice of pie cost $1.60 more than the bagel. How much did the bagel cost
Answer:
$2.04
Step-by-step explanation:
$4-$1.60
Answer:Bro u just saved my life with that answer
Step-by-step explanation:
the first term in a sequence is 3. the term to term rule is add 5. is 97 at term in the sequence? give a reason why.
I'm kind of on a time crunch so please help ASAP. Thank Youuu x
Answer: No it’s not.
Step-by-step explanation: So if to find the next number, you add five, then all of the numbers in the sequence will either end with 8 or 3. (5+3 or 0+3). Therefore 97 is not a term in the sequence.
In a group of 30 students. 8 take Italian, 12 take German wind 3 take both languages. How many students in the group neither take German nor Italian?
IM GIVING BRAINLIEST!!
What two integers between -100 and -20 could be divided to equal 0?
Answer:
0
Step-by-step explanation:
What divided by what equals 0? What divided by what equals 0? Specifically, what positive whole number (X) can you divide by another positive whole number (Y) to get 0? The answer is infinite.
Given that RHMO is a rhombus, find x, given that m ∠ 3 = 8x - 6
Answer:x = 12
because RHMO is a rhombus => MH⊥RO
=> m∠3 = 90°
⇒ 8x - 6 = 90°
⇔ 8x = 96
⇔ x = 96/8 = 12
Step-by-step explanation:
Y: 2y - 3(4y-3) = 9y + 28
Answer:
y = - 1
Step-by-step explanation:
Given
2y - 3(4y - 3) = 9y + 28 ← distribute and simplify left side
2y - 12y + 9 = 9y + 28
- 10y + 9 = 9y + 28 ( subtract 9y from both sides )
- 19y + 9 = 28 ( subtract 9 from both sides )
- 19y = 19 ( divide both sides by - 19 )
y = - 1
26) John makes $12 per hour as a lifeguard and $8 per hour at the library.
This summer, he would like to make at least $500 working his two jobs.
Which graph represents the number of hours he must work at each job to
reach his goal?
Answer:
B
Step-by-step explanation:
plz, help this do at 9:00
Three customers have accounts owing money. The table shows the account balances.
Which customer owes the least amount of money?
Customer Balance
M. Palmer –$56.72
B. Leftwich –$74.19
R. Jordan –$54.31
M. Palmer
B. Leftwich
R. Jordan
Answer:
B
Step-by-step explanation:
The answer is B no questions GO GO GO SUBTRACTION SIGN MEANS THEY OWE MONEY
find the measurement of the angle? will give brainliest
Answer:
98°
Step-by-step explanation:
The two base angles of a parallelogram are always equal and likewise for the two other angles which makes the base 164° combined an 360-164=196° and 196°/2=98°
Can you help me please
Answer:
(-5, 7)
Step-by-step explanation:
Answer:
(7,-5)
Step-by-step explanation:
the layout of the coordinate point always goes (x-axis, y-axis), aka (x,y).
so, to do this, you first find the line on the x-axis that coordinate "f" falls on, which would be line 7 on the x-axis.
then, you find the line on the y-axis that coordinate "f" falls on, which would be line -5 on the y-axis.
I hope this was helpful, let me know if there's any questions, as well as if you got it correct :)