Functions f(x) and g(x) are composed to form h(x) = sqrt(x ^ 3- 2) if f(x) = sqrt(x + 2) and g(x) =x^3+a. What is the value of a
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:
90 coins
Use the original price and the markup to find the retail price.
Original price: $50; Markup: 15%
The retail price is $ ?
Answer:
50 + 50(.15)
50(1+ .15)
50(1.15)
RP= $57.5
Step-by-step explanation:
Jamie bought a handbag for 20$, an umbrella for $5.99, and a scarf for $8.50. If the sales tax rate is 7% how much is the sales tax and the total cost of her purchase
Answer: $36.9043
Step-by-step explanation:
Given that :
Cost of handbag = $20
Cost of umbrella = $5.99
Cost of scarf = $8.50
Sales tax = 7% = 0.07
Sales tax = 0.07 * (20 + 5.99 + 8.50)
Sales tax = 0.07 * 34.49
Sales tax = $2.4143
Total cost of purchase :
Sales tax + cost of items
$2.4143 + $34.49
= $36.9043
1. What is your Hogwarts house?
2. Draco or Remus Lupin?
3. Dum.bledore or Serius Black?
4. Do you like K-POP?
5. (Optional) Jada had some dimes and quarters that had a total value of $12.50. The relationship between the number of dimes, d, and the number of quarters, q, can be expressed by the equation 01.d + 0.25 q = 12.5. If Jada has 4 quarters, how many dimes does she have?
6. What's your favorite song?
7. Recommend aesthetic songs.
8. Give me a name.
9. Harry or Ron?
10. Hermione or Ginny?
1. Maaf saya gak tahu
2. Benar
3. Salah
4. Jurang
5. Kurang
6. Tujuh
7. Delapan
8. Sembilan
9. Sepuluh
10. Aku Cinta Kamu^_^
Photo is attached I need to solve for x and y please help me
Help pls 6th grade math i will give brainliest
Answer:
G because y+y+y is the exact same as 3 y
giving brainleyest
The table shows input and output values which table represents functions
Answer:
Option d) : Neither A nor BStep-by-step explanation:
To determine if it is a function, check if any x value repeated. For it to be a function, every x value should only be paired with one value
In both the table you can see that values are paired with more than one value meaning they aren't function...
Hope this helps u... ^_^❤️assume that the radius of a cylinder is the same as its height. What would happen to the volume of this cylinder if the radius were doubled and its height was half
9514 1404 393
Answer:
volume is doubled
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
Then the volume of the modified cylinder is ...
V = π(2r)²(h/2) = π(4r²)h/2 = 2πr²h . . . . . double the previous volume
3) Angela has 37 coins in dimes and nickels. She has a total of $3.30.
a) Write the system of 2 linear equations.
b) How many dimes does Angela have?
c) How many nickels does Angela have?
Answer:
hmmmmm b
Step-by-step explanation:
Simplify (4x - 6) + (5x + 1). (1 point)
-X-5
9x + 5
9x - 5
Ох
x - 5
Answer:
9x-5
Step-by-step explanation:
Add the common values together:
(4x-6)+(5x+1)
4x+5x -6+19x-5Answer:
|
−
2
|
+
2
−
2
3
x
−
1
2
Step-by-step explanation:
HELPPPPPPP PLEASEEEEE
Answer:
5^15
Step-by-step explanation:
if they have the same base then you add the two top vaules therfore giving you c.
Brainliest plzzzzzzz
Jessica measured the amount of precipitation that fell during a week. She determined that 13 centimeters of rain fell. Actually, though, 12 centimeters of rain fell during that week. To the nearest tenth of a percent, what is the percent error of Jessica's measurement?
Answer:
8.3%
Step-by-step explanation:
The formula for Percentage error is given as:
|Measured value - True value|/True value × 100
The measured value = 13cm
The true value = 12cm
Hence:
Percentage error = |13 cm - 12cm|/12 cm × 100
= 1/12 × 100
= 8.3%
The percent error of Jessica's measurement is 8.3%
will give brainlest 5 stars and thanks
Answer:
96m
Step-by-step explanation:
L x W= A
12x8=96m
Answer:
above the 8 it would be another 8 then to the side it would be a 12 the ad them all up together or like this 8+8 =16 and 12+12=24 16+24 is 40
Step-by-step explanation:
Find the volume of each figure. Round your answers to the nearest hundredth, if necessary. Leave your answers in terms of pi for
answers that contain pi.
Answer:
D. 125π km³
Step-by-step explanation:
Volume of a cylinder = πr²h
Where,
radius, r = 5 km
Height, h= 5 km
Volume of a cylinder = πr²h
= π × (5 km)² × 5 km
= π × 25 km² × 5 km
= 125π km³
The answer is D. 125π km³
Jonathan bought a box of stamps to start a collection. He has purchased the same number of stamps each week to add to the collection. The graph
shows the number of stamps Jonathan has at the end of each week. How many stamps were in the box Jonathan bought to start his collection?
Assume that the relationship between the two quantities is linear.
A. 216
B. 120
C. 96
D. 12
Answer:
120
Step-by-step explanation:
its where the graph starts
The image of the point (-8, 3) under a translation is (-5,2). Find the coordinates
of the image of the point (9,9) under the same translation.
Answer:
IMAGE=OBJECT +TRANSLATION
The coordinates are (12, 8).
What is translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving of the shape from one place to other, there is no change in the shape.
Translation is one of the transformations in math. When a shape has been transformed, the original shape is called the preimage and the vertices are usually labeled using uppercase letters (Example: ABCD). The translated shape is called the image and the vertices are labeled using uppercase letters with a “prime” next to each (Example: A′B′C′D′, and is pronounced “A-prime, B-prime, C-prime, D-prime”).
Given:
the point is (-8, 3) whose image point is (-5, 2)
The difference between the coordinates of the image and the coordinates of the original is the same for both points.
X - (9, 9) = (-5, 2) -(-8, 3)
X = (-5, 2) -(-8, 3) +(9, 9) = (-5+8+9, 2-3+9)
X = (12, 8)
Hence, the point is (12, 8)
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ5
What is the equivalent fractions for 3/10?
Answer:
6/20, 15/50, 9/30, 30/100, 12/40, 18/60....
Step-by-step explanation:
Its just multiplying the fraction by any whole number.
Make sure to do both the numerator and the denominator!
(hope this helps)
I ONLY need help with the tables ONLY! I’LL GIVE BRAINLIEST FOR THE RIGHT ANSWER?! I please include what you did for both tables please.
Answer:
The first table.
Step-by-step explanation:
Every single time, the x is being multiplied by 3 to get the y, and that means its proportional. Also, the second one is for sure NOT proportional
HELP MEEEEEEEEEEEE PLZ
Answer:
The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Find the inverse if f(x)=6(x+7)
Answer:
y=1/6 x -7
Step-by-step explanation:
it's easier to just substitute y w/x, and vice versa
x=6y+42
x-42=6y
3x-2=-29
what is x in this equation?
bac
4. Jim has the following cell phone plan.
• Weekday calls cost 10 cents per minute.
• Weekend calls are free.
• Each text message costs 5 cents.
Each month, Jim talks for m minutes on weekdays and f minutes
on weekends, and sends t texts. Which equation represents
Jim's monthly cell phone bill, C?
A.
C = 0.10m - 0.051
B.
C = 0.10m - 0.5t
nents
C.
C = 0.10m - 0.10f-0.10
D
('= 0.10m - f-0.057
A cooler contains bottles of orange juice,apple juice and grapefruit juice in the ratio of 3:4:3. There are 960 bottles of orange juice in the cooler Calculate the number of bottles of apple juice that are in the cooler
Answer:
1280
Step-by-step explanation:
The first 3 part of the ratio corresponds to 960 bottles of orange juice
Dividing 960 by 3 gives the value of one part of the ratio.
960 ÷ 3 = 320 ← value of 1 part of the ratio, then
apple juice = 4 × 320 = 1280 bottles
find an equation in standard form of a parabola passing through the points below
(1,-1),(5,31),(6,44).
Answer:
Basic parabola: y = ax2 + bx + c
We have 3 points we can plug in for (x, y) to create 3 simultaneous equations
(-2, 24): 24 = 4a - 2b + c {equation 1}
(3, -1): -1 = 9a + 3b + c {equation 2}
(-1, 15): 15 = a - b + c {equation 3}
Solve this system to find the values of a, b, c
Let's first eliminate variable c:
4a - 2b + c = 24 {equation 1}
a - b + c = 15 {equation 3}
--------------------- subtract
3a - b = 9
9a + 3b + c = -1 {equation 2}
a - b + c = 15 {equation 3}
-------------------- subtract
8a + 4b = -16
We now have two equations with 2 unknowns we can use to find a, b
3a - b = 9 {equation 4}
8a + 4b = -16 {equation 5}
Multiply equation 4 through by 4 and add equations
12a - 4b = 36
8a + 4b = -6
----------------- add
20a = 30
a = 30/20
a = 3/2
8a + 4b = -6
8(3/2) + 4b = -6
12 + 4b = -6
4b = -6- 12
4b = -18
b = -18/4
b = -9/2
Plug these 2 values into one of the original equations and solve for c
15 = a - b + c {equation 3}
15 = 3/2 + 9/2 + c
15 = 12/2 + c
15 = 6 + c
c = 15-6
c = 9
y = (3/2)x2 - (9/2)x+ 9
Upvote
•
0
Downvote
Add comment
Still looking for help?
Step-by-step explanation:
If given f(x) = –4x – 2 and g(x) = 2x, what is (f · g)(x)?
A.
(f · g)(x) = –6x – 4
B.
(f · g)(x) = –8x2 – 4x
C.
(f · g)(x) = –6x – 2
D.
(f · g)(x) = –16x2 – 4x
Step-by-step explanation:
Given
f(x) = - 4x - 2
g(x) = 2x
(f • g) (x) = ?
We know
f(g(x)) = f ( 2x )
= - 4 ( 2x ) - 2
= - 8x - 2
Suppose that a school of 452 students is having a debate about gun control, and the students were asked to vote. The results show that 67 percent are in favor of banning guns, and 26 percent are against banning guns. The remaining students chose not to voice their opinions. How many students didn't voice their opinions? Round your answer to the nearest whole number?
Answer: 32
Step-by-step explanation:
Total number of students = 452
Students in favor of banning guns = 67%
Students against banning guns = 26%
Students who didn't voice their opinions = 100% - (67% + 26%) = 100% - 93% = 7%
The number of students who didn't voice their opinions would be:
= 7% × 452
= 0.07 × 452
= 31.64
= 32 to nearest whole number
What is HJ + JM?
The number line from minus four to four by increment of one and each tick mark is labeled. In this number line point minus four is also labeled as G, minus three is labeled as H, minus two is labeled as I, minus one is labeled as J, zero is labeled as K, one is labeled as L, two is labeled as M, three is labeled as N, and four is labeled as O.
Answer:
HJ + JM = 5
Step-by-step explanation:
The number line is majorly used to show the positions of directed numbers. For the given question, the number line has the required points as shown in the attachment to this answer.
From the number line,
HJ = -1 - (-3)
= -1 + 3
= 2
HJ = -2
JM = 2 - (-1)
= 2 + 1
= 3
Thus,
HJ + JM = 2 + 3
= 5
HJ + JM = 5
A recipe for apple cider cause for 4 cups of apple juice and 3 cups of water what equation can we use to find extra percent of apple juice in the recipe
Answer:
% Apple juice = [tex]\frac{4}{7}[/tex] × Y × 100.
Step-by-step explanation:
Given:
Ratio of apple juice to water = 4 : 3 = Y i.e 4+ 3 = 7
To find the exact % of apple juice used in recipe, we use the ratio of juice to water provided, given Y as any amount of apple cider.
∴ equation [tex]\frac{4}{7}[/tex] × Y = amount of apple juice.
for percentage, [tex]\frac{4}{7}[/tex] × Y × 100 = amount of apple juice.
Proof:
In 200ml apple cider, amount of apple juice present
= 4/7 × 200 = 114.2ml of juice
To make upto 00ml cider, add (200-114.2)ml of water.
I hope this was helpful.
4000
Amount
saved ($)
2000
o
6
2. 4
Months in plan
The graph shows the activity in a savings account.
a. What was the amount of the initial deposit that started this savings account (don't use commas)?$
b. Find the slope.
c. Find the y-intercept.
d. Write an equation in slope-interce
form for the activity in this savings account.
Answer:
$1000 ; 500 ; 1000 ; y = 500x + 1000
Step-by-step explanation:
From the graph, the initial deposit which started the savings account is $1000 ; this is the value on the y - intercept, the value in the account at time or period = 0.
The slope :
x1 = 0 ; y1 = 1000
x2 = 6 ; y2 = 4000
Slope = Rise / Run
Rise = y2 - y1 = 4000 - 1000 = 3000
Run = x2 - x1 = 6 - 0 = 6
Hence,
Slope = 3000 / 6
Slope = 500
y - intercept = 1000 (from. Graph)
Equation in slope intercept form:
General form : y = mx + c
m = slope ; c = intercept
Equation is written as ;
y = 500x + 1000
Find the value of X!!!!!!!!