Answers
Step-by-step explanation:
To find the composite function, it says
[tex](f \: o \: g)(x)[/tex]
means we put the function g(x) into f(x) so that means it looks like
[tex]( \sqrt{x}) {}^{2} - 4[/tex]
Which equal
[tex]x - 4[/tex]
So that expression above is the answer.
To find the range we must find the range of the inner function ,(g(x) and then see which parts it corresponds of f(x).
The range of a g(x) which is a radical function is all real numbers.
The range of a f(x) which is a quadratic function is all real numbers greater than or equal to -4.
This means for our function to work we can use any numbers as long as it greater than -4.
So we would represent that as x is all real numbers as long as x is greater than or equal to -4
In interval notation this would be
[-4,+ infintiy)
Related Questions
The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount of rain in Houston?
Answers
Answer:
8-i=g
Step-by-step explanation:
g= amount of rain Groesbeck gout
i = inches of rain
Answer:
saw this question on egde its b
I need help with these question! Please explain step by step-
Answers
Answer:
3 bags of chocolate chips and 3 bags of walnuts
Step-by-step explanation:
1 pound = 16 ounces (oz). So, our dear Jemina needs 48 ounces. Then, we do system of equations. one of the equations are 3x +2y = 15(dollars), and then second is 12x + 4y = 48. (ounces/pound). Let's solve for x first. We multiply the dollars equation by 2 to eliminate y from both equations. 6x +4y = 30. When you subtract, you get 6x = 18. So, x = 3, Jemina buys 3 chocolate chips bags. So, thats $9. So, she also spends $6 on walnuts. For checking, 3 bags of chocolate chips = 36 ounces. 3 bags of walnuts = 12 ounces. 36+12 ounces = 48 ounces. :D
45 divided by 75,069
Answers
Answer: 1668.2
→ Hope this helps!←
Solve the right triangle shown in the figure, given the following measures. Remember, exact lengths can be approximated on a calculator. For example, StartRoot 2 EndRoot almost-equals 1.414. Angle A = 45 degrees, side A B = 12 StartRoot 2 EndRoot centimeters, Angle C = 90 degrees a. Side B C = 6 StartRoot 3 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 3 EndRoot centimeters b. Side B C = 6 StartRoot 2 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 2 EndRoot centimeters c. Side B C = 24 centimeters, angle B = 45 degrees, Side A C = 24 centimeters
Answers
Answer:
D. BC = 12cm, <B = 45, AC = 12cm
Step-by-step explanation:
Edge 2021
The measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm
What are right triangles?A right triangle is a triangle that has one of its angle measure to be 90 degrees.
From the question, we have:
Angle B = 45 degrees
Since angle B is 45 degrees, then the legs of the triangle are equal (i.e. 12 cm)
Hence, the measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm
Read more about right triangles at:
brainly.com/question/2437195
1) Find AC
2
А
24
118°
220
B
Answers
hello please help thanks
Answers
Answer:
most likely the last choice
Step-by-step explanation:
Answer: during evaporation
Step-by-step explanation: the sun heats up the water which caused it to evaporate
PLEASE HELP!!!!!! I NEED THIS ASAP
Answers
Answer:
11.2
Step-by-step explanation:
PYTHAGOREAN THEOREM
14^2 = 8.4^2 + x^2
Your germination rate for lavender seeds is 34%. You planted 1200 seeds, how many sprouted?
Answers
1200 times 0.34 is equal to 408
HELP FAST PLEASE 3 = x/2
x= ?
Answers
3 = x/2
x = 3 * 2
x = 6
.......
Answer:
x=6
Step-by-step explanation:
cross multiply
x=3*2
x=6
Plz help I’ll give brainliest
Answers
3. 8
Hope this helps!
Answer: first one 17
second one 8
Step-by-step explanation:
18.3: Sand Wagon
The Radio Flyer wagon is 27 feet long 13 feet wide and 2 feet deep.
1. A 150-pound bag of sand will fill about 9 cubic feet. About how many bags of sand
will it take to fill the wagon with sand?
Step by step please?
Answers
Answer:
702/9 is 78 your answer is 78
Step-by-step explanation:
27*13*2
Madeline has 2 times the number of games as Paulo. Paulo has 4 more games than Tyler. If Tyler has 9 games, how many games are there among the 3 friends?
Answers
A pair of AirPods cost $120 at the store. A
person bought a pair and sold it online for
$150. What is the percent of increase?
Answers
Answer:
20 is the correct answer
Answer:
8%
Step-by-step explanation:
120% divided by 150%
Simplify the following
Answers
PLEESE HELP I need help naw
1+1
I'm on my sisters fone I'm in kindrgarden.
Answers
Answer
2
Step-by-step explanation:
1+1 equals 2.
have a great day!
da anwer iws eweven(11) uwu
find the measure of arc DB in circle P WILL GIVE BRAINLEST
Answers
Please answer with explanation
Answers
Answer:
(-3,-5) and (4,9) have the y-intercept of (0,1)
Step-by-step explanation:
to be honest i just used this graph to figure it out
Help, I am very confused
Answers
9514 1404 393
Answer:
(a) 2S, 1A
Step-by-step explanation:
A triangle is completely specified when all three sides and all three angles are known. This triangle shows the measure of 1 side, so 2 sides are missing (2S). It shows the measures of angle Q and P, so angle N is missing (1A).
The missing information is 2 sides and 1 angle: 2S, 1A.
Right triangle ABC is shown below. Write an equation that can be used to determine the angle measure, in degrees, of angle DBC. Then determine the measure of n
Answers
Answer:
Step-by-step explanation:
What is the value of the expression 3 x 5 + 32 ?
I just need to know if I put the answer or the expression
Answers
Answer:
3x³+32
Heart if it helped
Answer:
u just simplify the expression
the answer is 50
Step-by-step explanation:
Find the distance between the points (-3. - 5) and (-3,1)
Answers
the estimated answer is 6
HELPPPP! PLZ HURRY AND SHOW UR WORK!!
TRAP ~ EZYD. Use the diagram on the right to find the scale factor of TRAP to EZYD.
The scale factor of TRAP to EZYD is __.
Answers
Answer:
3/4
Step-by-step explanation:
when you line up the figures you get 9:12 which reduces down to 3/4
the width of a rectangle is 8 feet and the diagnal length of the rectangle is 13 feet which measurement is closest to the length of this rectangle in feet
Answers
Answer:
Well the whole answer is 10.246950 smth smth but I don’t have the multiple choices so your gonna have to round yourself
Step-by-step explanation:
Okay so you have a weigh of 8 and a diagonal of 13.
If you look, theres a triangle there. One side has 8 and the diagonal that was cut forms a 13. So we have a leg and a hypotnuse. To find the other leg (length) just follow the Pythagorean theroum and solve for b or a.
Pythagorean theroum: a^2+b^2=c^2
Now subsitute c for 13 since its the hypotnuse and a or b as 8 but only one.
In this case I’m substituting a for 8.
8^2+b^2=13^2
Solve the squares
64+b^2= 169
Isolate the b
b^2=105
Now square root 105
√105 will give the answer above on a normal calculator but if you have to round, I don’t know what place but you can round.
Please help meeeee! I’m stuck
Answers
Answer:
x = 12
Step-by-step explanation:
(8x - 1) + (3x + 4) + (3x + 9) = 180 degrees
14x + 12
180 - 12 = 168
14x = 168
/14 | /14
x = 12
Top left angle: (8x - 1)
8*12 - 1
96 - 1
= 95
Sorry! gtg I hope this helps!
Frank had $65. He spent $2 per day for 7 days. Then he was given $9 to divide equally between himself and his 2 brothers. The following expression can be used to find the amount of money Frank had after that.
65 - 2 ⋅ 7 + 9 ÷ 3 .
Based on this expression, what is the amount of money Frank had remaining?
a.$54
b.$150
c.$2
d.$444
Answers
Answer:
54
A.)
Step-by-step explanation:
65-2x7+9/3
PEMDAS
65-14+9/3
51+3
54
please help, i got a 0% ! screenshot of the assignment is attatched
Answers
Answer:
24 units squared
Step-by-step explanation:
Remember, it's the surface area: count the squares that are in the shape. 24 is the answer.
Answer:
24
Step-by-step explanation:
A=6a2 is the formal you need to salve for the aria of a cube
Plz help I’m getting timed
Answers
Answer:how long u got to answer the question
Step-by-step explanation:
Find the area of the shape shown below.
4
2
2
1
units
Answers
Answer:
7
Step-by-step explanation:
it's a rectangle of area 2*4=8 minus a triangle of area 1*2/2=1 so 8 - 1 = 7
Factor the expression step by step
Answers
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -7
Multiply together to get 10
Can you think of the two numbers?
Try -2 and -5:
-2+-5 = -7
-2*-5 = 10
Fill in the blanks in
(x+_)(x+_)
with -2 and -5 to get...
(x-2)(x-5)
Para decorar una pared se disponen de tiras de papel azules de 15 cm, verdes de 20 cm, y rojas de 25 cm. En la pared se quiere armar tres líneas del mismo tamaño, una de cada color y sin cortar ninguna tira. a) ¿Cuánto va a medir la menor línea que se puede armar con cada color? b) ¿Cuántas tiras se deben utilizar? c) ¿Cuántas de cada color?
Answers
Answer:
a) Smallest line that can be made with each color = 300 cm
b) Total strips should be used = 47 strips
c) Total strips used of blue color = 20
Total strips used of green color = 15
Total strips used of red color = 12
Step-by-step explanation:
Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.
To find - a) How long is the smallest line that can be made with each color?
b) How many strips should be used?
c) How many of each color?
Proof -
a)
For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.
Firstly,
Decompose the 3 strips to its prime factors , we get
15 = 3×5
20 = 2²×5
25 = 5²
So,
The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300
∴ we get
Smallest line that can be made with each color = 300 cm
b)
Now,
Total strips used = 300 cm
Strips used by 15 cm blue = [tex]\frac{300}{15}[/tex] = 20 strips
Strips used by 20 cm green = [tex]\frac{300}{20}[/tex] = 15 strips
Strips used by 25 cm red = [tex]\frac{300}{25}[/tex] = 12 strips
So,
Total strips should be used = 20 + 15 + 12 = 47 strips
c)
Total strips used of blue color = 20
Total strips used of green color = 15
Total strips used of red color = 12