Answer: a = -4
Step-by-step explanation: Function Composition is when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). In other words, put the result of one function into the other one.
In this situation,
h(x) = f(g(x))
which means
h(x) = f(x³+a)
h(x) = [tex]\sqrt{x^{3}+a+2}[/tex]
[tex]\sqrt{x^{3}-2} =\sqrt{x^{3}+a+2}[/tex]
Now, to find a, we separate equal terms:
1) Both are squared, so we can "eliminate" the square;
2) x³ = x³;
3) [tex]-2=a+2[/tex]
[tex]a=-4[/tex]
For function composition h(x) = f(g(x)), the value of a is -4.
Answer:-4 or D
Step-by-step explanation:
The pair of points (7,4) and (3, y) lie on the line with a slope of 1/4.
What is the value of y?
PLEASE I NEED HELP HURRY
A 20
Or
B -12
Or
C -3
Or
D 3
What is the first step in solving x^2 +14x-43=3 completing the square?
Answer:
Step-1 : Multiply the coefficient of the first term by the constant
Step-by-step explanation:
Answer:
step 1 = Subtract 3 from both sides
step 2= Use quadratic formula with a=1, b=14, c=-46
Answer to the equation = x=−7+√95 or x=−7−√95
Damarcus and Xavier went to the arcade to play their two favorite games. Damarcus played 4 rounds of game 1 and 6 rounds of game 2 for $18.00. Xavier played 5 rounds of each game for $20. What is the cost of game 1?
Answer:
$3
Step-by-step explanation:
Given :
Let game 1 = x ; game 2 = y
4x + 6y = 18 - - - (1)
5x + 5y = 20 - - - (2)
From (2)
x + y = 4
y = 4 - x
Substitute y = 4-x in (1)
4x + 6(4 - x) = 18
4x + 24 - 6x = 18
-2x = 18 - 24
-2x = - 6
x = 6/2
x = 3
Game 1 cost $3
Answer:
3$
Step-by-step explanation: :)
Factorize. 2a(5b-2c)- 3c (5b-2c)
Step-by-step explanation:
(5b - 2c)*(2a - 3c) = 5b*2a - 3c*5b - 2a*2c + 6c^2
2/3 divided by 5 1/3
Answer:
0.125
Step-by-step explanation:
hope this helps :).
Answer
the.answer is 0.125
I NEED HELP ASAP!
Evaluate -6 - (-9) ÷ 3
Answer:
-3
Step-by-step explanation:
yw
Cynthia ran 4 laps in 40 minutes.
What is the rate of number of laps to minutes?
(A). 1/10
(B). 4/36
(C). 10/40
(D). 36/1
Answer: it is (A).
Step-by-step explanation: hope this helps.
There are 138 boys and 132 girls in a soccer league. The players are equally divided into 18 teams. How many players are on each team?
A) 15
B) 16
C) 17
D) 18
Answer : A) 15
138+132=270
270÷18=15
That’s why the correct answer is 15.
*Hopefully this helps!
Answer: A. 15
Step-by-step explanation: add the amount of female and boy together and then divide that by 18
The garden club earned $15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their earnings.
How much did the garden club earn in all?
Answer:
30
Step-by-step explanation:
30 i think
Could someone help me with this
Answer:
it is 69
Step-by-step explanation:
Answer:
−18x^8−27x^7−21x^6−24x^5−15x^4−3x^3
Step-by-step explanation:
Suzy is using a bucket to collect nuts from a nut tree. She then dumps the bucket into a barrel for shipping of the nuts. She notices that 1 over 2 the bucket of nuts fills 2 over 3 of the barrel.
Part A: Write and solve an equation to find the number of nuts that will fill the entire barrel. Show your work. (8 points)
Part B: Explain your answer in words. (2 points)
Answer:
3/4 bucket
Step-by-step explanation:
Given that:
1/2 bucket of nut fills 2/3 of barrel ;
Letbthe number of bucket if nut which fills entire barrel = x
Fraction of entire barrel = 1 /1 = 1
1/2 bucket = 2/3 barrel
x buckets = 1 barrel
Cross multiply ;
(2/3)x = 1/2
2x / 3 = 1/2
2x * 2 = 3 * 1
4x = 3
x = 3/4
Hence, 3/4 bucket of nut will fill entire barrel
plz help me with this prob im clueless
Answer:
Well.... your problem isnt even there lol
represent 56 divided by 8 =7 using subtraction. Explain your Answer
Answer:
subtract 7 at a time like below
Step-by-step explanation:
56-7= 49
49-7= 42
42-7=35
35-7= 28
28-7=21
21-7=14
14-7=7
7-7
Please answer fast!!
If angles of a triangle are in the ratio 2 : 3 : 4. Find the value of the largest angle.
(a) 120°
(b) 140°
(c) 60°
(d) 80°
Answer:
(d)
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 + 4 = 9 parts
Divide 180° by 9 to find the value of one part of the ratio
180° ÷ 9 = 20° ← value of 1 part of ratio , then
4 parts = 4 × 20° = 80° ← largest angle
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In Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Emerson struck out
42 times in 140 times at bat.
Part A
Drag numbers to complete the proportion to represent the percent of strike outs per at-bats.
Numbers may be used once or not at all.
112
100
238
350
х
350
00.00
Part B
What percentage of times at bat did Emerson actually hit the ball?
Answer:
part A 112/350 = x/100
part b : 32%
Step-by-step explanation:
Answer:
part b
Step-by-step explanation:The part b would be 32%
Gerald's Horse Supply Company charges $0.85 per pound to ship horse supplies.
Part A: Write an equation to determine the total cost, c, to ship p pounds of horse supplies. Use your equation to determine the cost of shipping 2 pounds of horse supplies.
Part B: If the company reduces the cost to ship horse supplies by $0.06 per pound, write an equation to determine the total cost, c, to ship p pounds of horse supplies with the reduced cost.
Answer:
c = 0.85 ; $1.7 ; c = 0.79p
Step-by-step explanation:
Given :
Cost per pound of supply shipped = $0.85
Total cost, c to ship p pounds of horse supply
Total cost = cost per pound * pound of supply
c = 0.85 * p
c = 0.85p
Cost of shipping 2 pounds :
c = 0.85 * 2
c = $1. 7
B.)
Reduction in shipping cost :
Reduced cost = $0.85 - $0.06 = $0.79
Total cost = cost per pound * pound of supply
c = 0.79 * p
c = 0.79p
A spinner has eight equal sections numbered from 1–8. Predict how many times the pointer will land on a 2 or a 5 if you spin the spinner 60 times.
Answer:
15 times
Step-by-step explanation:
By spinning once, the probability of landing on 2 is 1/8
The probability of landing on 5 is 1/8
The probability of landing on 2 or 5 is 1/8 + 1/8 = 2/8 = 1/4
So spinning 60 times, the number of times we expect a landing on 2 or 5 will be ;
1/4 * 60 = 15 times
The last time it placed an order for ingredients, Sweet Treats Bakery ordered 7,720 kilograms of sugar. This time, the bakery is ordering 13,510 kilograms. What is the percent of increase in the size of the sugar order?
Answer:
The percent of increase in the size of the sugar order is 75%.
Step-by-step explanation:
To find the percent of increase in the size of the sugar order, you can use the following formula:
% increase = ((New number-Original number) ÷ Original Number)x100
New number=13,510
Original number=7,720
Now, you can replace the values in the formula:
% increase = ((13,510-7,720) ÷ 7,720)x100
% increase = (5,790 ÷ 7,720)x100
% increase = 0.75x100
% increase = 75%
According to this, the answer is that the percent of increase in the size of the sugar order is 75%.
Answer:
i think 75%
Step-by-step explanation:
the expression (x^-8) (x^3) is equivalent to the expression x^n. what is the value of n?
Answer:
n=-5
Step-by-step explanation:
You must multiply [tex]x^{-8}*x^{3}[/tex]. The laws of exponents state that when multiplying exponents of the same base, you can just add the exponents and raise the base to the sum of the exponents. So, [tex]x^{-8}*x^{3}=x^{(-8+3)}=x^{-5}[/tex]. Since our end product is [tex]x^{-5}[/tex], n is equal to -5.
simplify each expression 4.4x + 6- 2y + 4
Answer:
4.4x−2y+10
Step-by-step explanation:
Find the slope of the line that passes through the points (14, 22) and (-5, 22).
Answer:
0, because this is a horizontal line
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
22-22 is 0
-5-14 is -19
0/-19 is 0
slope is 0
What is the area of the circle above?
Answer:
D
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here r = 9, then
A = π × 9² = 81π cm² → D
A chess tournament was being held. This single-elimination tournament (in which paired competitors
played matches and only the winner of a match continued to the next round) began with 16 competitors.
How many matches were played?
A total of matches were played. _____
I really need help with this problem!
Answer:
A total of 15 matches were played.
Step-by-step explanation:
To determine the number of matches that were played in the chess tournament, knowing that there are 16 participants who face each other in a tournament of direct elimination, the following logical reasoning must be carried out:
In the first round there are 16 players, so being matches between 2 players, there are 8 matches (16/2). In the second round, applying the same reasoning and taking into account that there are only 8 players left, since the others have been eliminated, there are 4 matches (8/2). The same in the semifinals, where there are 2 games (4/2), and finally, the final to a single game.
Therefore, since 8 + 4 + 2 + 1 equals 15, the number of matches played in the tournament is 15.
Solve the inequality. Graph the solution. 5 < -1/5g
Answer:
the answer is 764844
Step-by-step explanation:
1+1=1
The area of a circle is square inches. What is the radius?
Answer:
9 inches
Step-by-step explanation:
PLS HELP
If F(x)=[tex]\frac{C-x}{D-x}[/tex], F(-2) is undefined, and F(-1)=4, What is the value of C?
Answer:
C = -5
Step-by-step explanation:
Functions
F(x) is defined as:
[tex]\displaystyleF(x)=\frac{C-x}{D-x}[/tex]
We know F(-2) is undefined. It comes from the fact that the denominator is 0 for this value of x, thus:
D - (-2) = 0
Solving:
D = -2
Substituting:
[tex]\displaystyleF(x)=\frac{C-x}{-2-x}[/tex]
We also know F(-1) = 4:
[tex]\displaystyle \frac{C-(-1)}{-2-(-1)}=4[/tex]
[tex]\displaystyle \frac{C+1}{-2+1}=4[/tex]
[tex]\displaystyle \frac{C+1}{-1}=4[/tex]
Multiplying by -1
C + 1 = -4
Solving for C:
C = -5
A carousel with a 60-foot diameter makes 3 revolutions per minute. (A) find the angular speed of the carousel in radians per minute. (B) find the linear speed (in feet per minute) of the platform rim of the carousel. What's are the answers?
Answer:
[tex]V=376.9911184feet per minute[/tex]
Step-by-step explanation:
From the question we are told that
60-foot diameter
3 revolutions per minute
a)Generally angular speed can mathematically be given is given as
[tex]W=2\pi f[/tex]
[tex]W=2*\pi*3[/tex]
[tex]W=6*\pi[/tex]
[tex]W=18.84955592[/tex]
b)Generally linear speed is mathematically given as
[tex]V=\omega r[/tex]
[tex]V=6\pi *30[/tex]
[tex]V=120*\pi[/tex]
[tex]V=376.9911184feet per minute[/tex]
A company that sells toys models their profit with the function
P(x) = −4x3 + 32x2 − 64. Their profit P, in thousands of dollars,
is a function of the number of toys sold x measured in hundreds.
What do the key features of the graph reveal about the profits?
What is the maximum profit the company can make?
9514 1404 393
Answer:
a) profit has a typical curve: negative at low volume, and again at very high volume.
b) $239,407
Step-by-step explanation:
a) The graph is negative below x=1.58, so the break-even point is 158 toys sold. The profit declines steeply above 533 toys sold, to again go negative for 774 toys sold. This sort of curve seems fairly typical.
__
b) The profit is a maximum of $239,407 when 533 toys are sold.
Cole and Jamie are raising money for the annual Walk for Hunger in their city. They each have a goal to raise $250. So far, Cole has raised $150 and Jamie has raised $180.
Answer:
a) For Cole = 60%
b) For Jamie = 72 %
Step-by-step explanation:
Cole and Jamie are raising money for the annual Walk for Hunger in their city. They each have a goal to raise $250. So far, Cole has raised $150 and Jamie has raised $180.
What percent of their goal did each boy raise so far?
a) Percent of Cole's goal
= Amount raised by Cole/ Total amount × 100
= $150/$250 × 100
= 60%
b) Percent of Jamie's goal
Amount raised by Jamie / Total amount × 100
= $180/$250 × 100
= 72%
Can you help me with ratios?