Given:
The functions are:
[tex]f(x)=x^2-x[/tex]
[tex]g(x)=9-2x[/tex]
[tex]h(x)=x^2+2x-63[/tex]
To find:
The function [tex](f+h)(x)[/tex].
Solution:
We know that,
[tex](f+h)(x)=f(x)+h(x)[/tex]
Substituting the values of given functions, we get
[tex](f+h)(x)=x^2-x+x^2+2x-63[/tex]
[tex](f+h)(x)=2x^2+x-63[/tex]
Therefore, the required function is [tex](f+h)(x)=2x^2+x-63[/tex].
VERY MUCH HELP ME PLEASE!!! (10 pts)
MARKING BRAINLIST IF THESE TWO ARE ANSWERED‼️‼️‼️
Anime club: 500 - 30y
Computer club: 150 + 20x
*you could use any letter(variable) you like*
BRAINLISRST AND EXTRA POINTS I NEEDS I HELP
Sally deposits $150 into a bank
Account in 2020 that earns 3.5%
annual interest. What exponential
function represents the situation?
Answer:150/3.5
Step-by-step explanation:
Which ordered pairs make the open sentence true? 3x+y<14 Select all the correct answers. (7, −7) (−1, 6) (3, 6) (4, −1) (6, 0)
Answer:
(4, - 1)
(-1, 6)
Step-by-step explanation:
Given the expression :
3x+y<14
Test the opprions to find out the true statement.
(7, - 7)
3(7) + (-7) < 14
21 - 7 < 14
15 < 14 (not true)
(-1, 6)
3(-1) + 6 < 14
3 + 6 < 14
9 < 14 ( true)
(3, 6)
3(3) + 6 < 14
9 + 6 < 14 ( not true)
(4, - 1)
3(4) - 1 < 14
12 - 1 < 14 ( true)
(6,0)
3(6) + 0 < 14
18 < 14 ( not true)
Guided Practice
Suppose you have $500 to deposit into an account. Your goal is to have $595 in that account at the end of the second year. The formula r= [tex]\sqrt{A/P}[/tex] - 1 gives the interest rate r that will allow principal P to grow into amount A in two years, if the interest is compounded annually. Use the formula to find the interest rate you would need to meet your goal.
A.
19%
B.
9.1%
C.
8.4%
Answer:
B. 9.1%
Step-by-step explanation:
r= A P −1 = 595 500 −1 ≈0.091 You would need an interest rate of 9.1% to meet your goal.
Answer:
9.1%
Step-by-step explanation:
I confirmed it in grandpoint
answer asap no wrong answers pls
Answer:
h = 3
Step-by-step explanation:
Looking at the given image, the height(h) divides the side length of 8 into two equal parts as we see that the height is perpendicular to the side length of 8 m.
Thus, looking at the half triangle of the face where the h is indicated, we can use pythagoras theorem to find h where the hypotenuse is 5 as shown in the diagram since each vertical cross section is an Isosceles triangle. Thus,
h² + (8/2)² = 5²
h² + 4² = 25
h² + 16 = 25
h² = 25 - 16
h² = 9
h = √9
h = 3
ME HAS CONFUSION PWEASE HELP
Answer:
The answer is 261
Step-by-step explanation:
Answer:
sorry if i am wrong but i think it is 35
Step-by-step explanation:
i think you have to add the 37 and 39 to get 76 and subtract 111 to get 35
“Puppies are cute animals.”
1. Write the quote as a conditional statement.
Answer:
Puppies are the cueist
Step-by-step explanation:
Answer:
there is a eye which will make you fall for it .
guess which eye is it
pls solve!
inrnorno34nfp3mpfn3ofkp4fof34f3
Answer:
jzsjdjsndndjddjdbfhfbbfbfhhdhcx0
Step-by-step explanation:
hello hi
hi bye
Answer:
[tex] m\angle CBD = 35\degree [/tex]
[tex] m\angle DBE = 92\degree [/tex]
Step-by-step explanation:
[tex] m\angle CBD = m\angle FBG[/tex]
(Vertical angles)
[tex] \because m\angle FBG = 35\degree [/tex]
[tex] \therefore m\angle CBD = 35\degree [/tex]
[tex] m\angle DBE +m\angle ABD= 180\degree [/tex]
(Linear pair angles)
[tex] m\angle DBE +m\angle CBD + m\angle ABC = 180\degree [/tex]
[tex] m\angle DBE + 35\degree + 53\degree = 180\degree [/tex]
[tex] m\angle DBE + 88\degree = 180\degree [/tex]
[tex]m\angle DBE = 180\degree -88\degree [/tex]
[tex] m\angle DBE = 92\degree [/tex]
In a survey of 150 high school students, 10% said they have after-school jobs. How many students have after-school jobs?
Answer:
Ahoy there, I'm pretty sure that the answer is 15!
Step-by-step explanation:
Find the value of x. Simplify in simplest radical form.
Answer:
x is 13.03
Step-by-step explanation:
Start by determining the length of the horizontal side of one of the triangles shown. The Pythagorean Theorem applies here:
(horizontal side)² + 17² = 19², so that:
(horizontal side)² + 17² = 19² - 17², or 72
Then the length of the horizontal side is +√72, or √36√2, or 6√2.
From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):
x = 31 - 2(6√2) = 13.03
x is 13.03
help pleaseeee asapppp
The value of a gold coin picturing the head of the Roman Emperor Domitian is increasing at the rate of 6% per year. If the coin is worth $155 now, what will it be worth in 14 years?
Question 6 options:
$239.00
$285.20
$294.72
$350.44
Answer:
anything :P
Step-by-step explanation:
PLS HELP! DUE TODAY AND WILL MARK BRAINLIEST
3. Find x.
Find the value of x.
A) 3.5
B) 7
C) 7.5
D) 10
Answer:
I believe the answer is D: 10
Step-by-step explanation:
If the other line is 2 segments of 5 and from the center to both lines is the same then x and the other line should be equal
• Solve the application problem.
The length of a rectangle is į ft. Its width is 1į ft. What is its perimeter?
It costs $17.50 for 5 gallons of gas. Write and solve a proportion to answer the question: How much gas could you buy with $49.00?
Solve and explain for BRAINLIST
17.50/5 = 3.50= 1 gallon
so you divide 49 by 3.5 and you get 14 and 14= 14 gallons
Step-by-step explanation:
The length of the living room is 3 feet more than its width . The area of the living room is 270square feet write and equation that reprints the area of the living room
Answer
x^2+3x=270
Explanation
x (x+3) =270
x^2+3x=270
If the perimeter of a square is 20 cm, what is its area?
Answer:
25cm
Step-by-step explanation:
each side is 5cm so multiple 5cm times 5cm then you get 25cm
Answer:
25cm^2
Step-by-step explanation:
P=4a
20=4a
a=5
A=a^2
A=5^2
A=25 cm^2
If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
one-fifth (one-fifth x + 5) + 5
One-fifth (5 x minus 25) + 5
StartFraction 1 Over (one-fifth x + 5) EndFraction
5 (one-fifth x + 5) + 5
Answer:
2
Step-by-step explanation:
Please help ty :)
The value of x is___
and the value of y is___
Answer:
x = 60
y = 50
Explanation:
in a triangle, the sum of all its angles should be 180°. so, to find x, we can subtract the known values from 180° like this:
180° - 50° - 70° = 60°
thus, x is 60.
using the same method, we can find the remaining angle of the other triangle:
180° - 50° - 60° = 70°
now, we know the values of x and the angle next to it. on a straight line, the sum of angles also adds up to 180°. therefore:
180° - 60° - 70° = 50°
i hope this helps! :D
A clock is set to ring every 15 minutes whereas another clock is set to ring every 25
minutes. If both the clocks ring together at 4:00 p.m., find the time at which both
clocks will subsequently ring together again.
Answer:
At 5:15 PM , they will ring together.
Step-by-step explanation:
We have been given that first bell rings every 15 minutes and second bell rings at every 25 minutes.
In order to find when both will ring together again, we can find the LCM of these two numbers.
15 = 3 × 5
25 = 5 × 5
Therefore, LCM of these two numbers is
LCM = 5 × 5× 3
LCM = 75
Hence, 75 minutes = 75/60 = 5/4 hours
Therefore, at 5:15 PM , they will ring together.
At 5:15 PM the clocks will ring together.
What is Least Common Multiple?In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.
Given:
A clock is set to ring every 15 minutes whereas another clock is set to ring every 25 minutes.
In order to find when both will ring together again, we have to find the LCM of 25 and 15 as
15 = 3 × 5
25 = 5 × 5
LCM (25, 15) = 5 × 5× 3
= 75 min
= 1 hour 15 minutes.
Hence, At 5:15 PM the clocks will ring together.
Learn more about least common multiple here:
https://brainly.com/question/30060162
#SPJ2
Mr. Dilbert's rectangular swimming pool is surrounded on all sides by a 4-foot wide brick walkway, as shown below.
WALKWAY
19 feet
5 feet
What is the area of the walkway?
A 192 ft2
B. 247 ft? C . 96 ft2 D. 302ft2
Answer:
Step-by-step explanation:
The area of the walkway will be 96 square feet. The correct option is C.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the dimensions of the crosswalk are,
19 feet
5 feet
The area of the cross-walk will be calculated as below,
Area = Length x Width
Area = 19 x 5
Area = 96 square feet
Therefore, the area will be equal to 96 square feet.
To know more about the area of the rectangle follow
https://brainly.com/question/25292087
#SPJ2
It took Todd 9 hours to paint 4 rooms.
If he continued painting at that rate,
how many rooms could he paint in
12 hours? Explain your reasoning.
Answer quick PLZZ no website
Answer:
86
Step-by-step explanation:
dkdkdmejdenfnrnnnbbgj
10
B
с
63°
9
A
D
What is m 2D?
m2D =
Answer:
Do you have a picture or can you explain more?
Step-by-step explanation:
Find the value of the third quartile (the median of the upper half of the data set). 52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72 i need it instantly cause i have that question pulled up
Answer:
64.5
Step-by-step explanation:
You understand the question, and already have the numbers in order, you're almost there!
So you need to find the median first so you can divide the data set into the upper and lower halves. The median, as you probably know, is the center of the data. What I do for this is list all the numbers out in order, like you've already done, and start crossing them out, one at a time, alternating the sides. I'll show you what I mean. (I'm using underline because there's no strikethrough.)
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
...and so on, until you have:
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
Because there's an even number of numbers, the median is the mean of the middle two numbers. Luckily, though, the two numbers in the middle are the same:61. Mean is calculated by adding the terms and dividing by the number of terms. In this case:
(61+61)/2
=61
(You didn't really have to do this mean step, but I'll explain later.)The median is 61. Another way you could have done this is by just counting the number of terms (20) and finding the middle one. Again, since there's no middle one, you'd have to find the mean.
Since you're looking for the third quartile and not the median, you didn't exactly have to do that step. I just wanted to explain how to calculate the median, since you'll have to do it in the next step. All we had to do here was divide the data set into the halves, so we used that visual demonstration by underlining the numbers one at a time. We didn't have to find the mean, we could have split the set down the middle instead.
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, | 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
^median/half-way point
We could have also divided the number of terms (20) by 2 (because halves, 2 parts) to get 10 and used the upper 10 values of the set, but I don't know, the crossing out method helps me. Anyway, now we have to look at just the upper 10 values:
61, 62, 63, 63, 64, 65, 65, 68, 70, 72
And you repeat the process! (I'm not going to show the underlining though lol)
There are 10 terms, so the median is between the 5th and the 6th. (10/2=5)
61, 62, 63, 63, 64, 65, 65, 68, 70, 72
This is what I was talking about, there are an even number of values in the upper half of the data set as well, so we have to find the mean of the middle 2: 64 and 65.
(64+65)/2
=129/2
=64.5
That's your final answer. Hope I could help you!
Answer:
64.5
Step-by-step explanation:
i just answered and got it right
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new
price for a total of $5.88.
Write an equation to determine the original price per pound (p).
Find the original price per pound.
$
Answer:
The equation is;
3(x + 0.75) = 5.88
The original price is $1.21
Step-by-step explanation:
Let the original price per pound be $x
By going up, the new price will be;
(x + 0.75)
3 times this is the new price;
3(x + 0.75) = 5.88
3x + 2.25 = 5.88
3x = 3.63
x = 3.63/3
x = $1.21
please help me with this
r(-4)=(-4+1)(-4-3)
Answer: r= 5 1/4
Step-by-step explanation:
Find 4/5 of £4.00
Ples help me and can you show how to do it, thankyou
Answer:
3.20
Step-by-step explanation:
Answer:
3.24
Step-by-step explanation:
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help asap no wrong answers pls
Answer:
Exactly one solution
Step-by-step explanation:
Because they two lines dont have the same slope, they must have only one solution.
what is the value of X in degrees?
the population of a village is 2250.
32% of the population are children. Calculate the number of children in the village. Show working?
Answer:
720 children
Step-by-step explanation:
good day. I think that's the answer hope it helps you.