The value of the composite function (p + q)(2) is 1
How to evaluate the function?The function expression is given as:
(p + q)(2)
As a general rule
(p + q)(x) = p(x) + q(x)
Substitute 2 for x
(p + q)(2) = p(2) + q(2)
From the table, we have:
p(2) = 3 and q(2) =-2
So, we have:
(p + q)(2) = 3 - 2
Evaluate
(p + q)(2) = 1
Hence, the value of the composite function (p + q)(2) is 1
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Answer: (p+q)(2)=1
Step-by-step explanation:
Edge
Khamisi and Harut wrote down two different functions that have the same rate of change. Khamisi's function is represented by the table shown below. x y -1 -5 1 -1 3 3 Write an equation, in slope intercept form, that could be Harut's function.
The equation of line is x+2y+3=0.
What is a equation of the line?The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.
Given:
x:-1 -5 1
y:-1 3 3
So,
m= 3-1/-5-(-1)
m= 2/-4
m=-1/2
Now, equation of line
(y-(-1))= m (x-(-1))
y+1= -1/2(x+1)
2y+2=-x-1
x+2y+3=0
Hence, the equation of line is x+2y+3=0.
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The formula for converting C to F is C =
5(F-32)
9
where F is the temperature in °F and C is the temperature in °C.
Find F when C= 28°.
Answer:
f=82.4
Step-by-step explanation:
f=9c/5+32
f=9x28/5+32
f=252/5+32
f=50.4+32
f=82.4
What is the percentage of 0,4(That is a decimal fraction)
Answer:
0.4= 4/10= 2/5
Step-by-step explanation:
The first decimal place after the point represent the place holder "tenth's"
0.4 = 4/10
This can simply to 2/5
Hope it will help:-)
2 over 5
Step-by-step explanation:
0.4=4 over 10 simplify=2over5
Simplify −45(30x−40)+(42x+4) . Write your answer in factored form.
solution
-4(327x-451)
ANYONE?? PLEASE HELP??!
Answer:
the answer is B:42.8
Step-by-step explanation:
because when u do this :24+58+30+42+87+11+ 12+55+91+18 = 428
the total numbers here is 10. so 428÷10 = 42.8
That is how u get ur final answer
u hope have helped you dear
prove that n^2 +(n+1)^2 is always an odd number
I assume [tex]n\in\mathbb{Z}[/tex] (or at least [tex]n\in\mathbb{N}[/tex]).
[tex]n^2+(n+1)^2=n^2+n^2+2n+1=2n^2+2n+1=2(n^2+n)+1[/tex]
The above is always odd, because one of the factors of [tex]2(n^2+n)[/tex] is even, which makes the product even as well, and 1 is odd, and the sum of an even number and an odd number is an odd number.
Help
if g(x)=x+1 and h(x)=4-x, what is the value of (gh)(-3)
---------
x-2
Answer: 8/5
Step-by-step explanation:
[tex](g \circ h)(-3)[/tex] is the same as g(h(-3)).
[tex]h(-3)=4-(-3)=7\\g(h(-3))=g(7)=\frac{7+1}{7-2}=\boxed{\frac{8}{5}}[/tex]
Look at the corners of the shape below. Which of the following points is located at one of the corners?
Answer: Coordinate (1,6)
Step-by-step explanation: Because it is located on one of the corners already if you count the spaces! I hope this helped!! :D
Answer:
the person above me is right its (1,6) its the only one thats located on a corner
Step-by-step explanation:
2. Identify the missing factors:
d) 20 = (4) (?)
e) -14x = (7) (?)
f) x3 =x2 (?)
Answer:
d) 20 = (4) (5)
e)-14x = (7) (0) = undefined
f) Every Real numbers are solutions, here.
Step-by-step explanation:
2) Identify the missing factors:-
d) 20 = 4(?)
Solved:
Let us assume that *?* = x here.
20 = 4x20/4 = x5 = xx =5e)-14x = (7) (?)
Assume *?* as x
-14x = 7x−14x−7x=7x−7x−21x=0x = 0/-21 = undefinedf) x^3=x^2(?)
Assume ? as x
x³=x²(x)x³−x³=x^3−x^30=0Real numbers are solutions.oam. The pit
p is the pit?
The gymnastics center where Alexander
works has a rectangular pit filled with
foam. The pit has a volume of 70
m³, and it has a length of 7 m and a width
of 5 m. How deep is the pit?
35 m
2m
14 m
10 m
Answer:
2 m.
Step-by-step explanation:
Volume = length * width * depth
70 = 7 * 5 * d where d = depth
d = 70 / (7*5)
= 70/35
= 2 m.
What is the sum of √-2 and √-18?
O 4√2
O 4√21
O 5√2
O 5√21
Answer:
[tex]4 \sqrt{2} \: i[/tex]
Step-by-step explanation:
[tex] \sqrt{ - 2} + \sqrt{ - 18} \\ ( \sqrt{2} \times \sqrt{ - 1} ) + ( \sqrt{18} \times \sqrt{ - 1} ) \\ ( \sqrt{2} \times \sqrt{ - 1} ) + (3 \sqrt{2} \times \sqrt{ - 1} ) \\ \sqrt{2} i + 3 \sqrt{2} i \\ = 4 \sqrt{2} i[/tex]
The sum of √-2 and √-18 is 4i√2.
What are Irrational Number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
We have √-2 and √-18.
To find the sum of √-2 and √-18 we need to perform addition as
= √-2 + √-18
= √2i + √18i
= √2i + 3i√2
= 4i√2
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A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is 70 centimeters
Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.
What is the volume of a sphere?The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
In this problem, we have that:
[tex]\frac{dV}{dt} = 500, r = 70[/tex]
Hence the rate of change of the radius is given as follows:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]19600\pi\frac{dr}{dt} = 500[/tex]
[tex]\frac{dr}{dt} = \frac{500}{19600\pi}[/tex]
[tex]\frac{dr}{dt} = 0.0081[/tex]
The radius is increasing at a rate of 0.0081 cm per minute.
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The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest tenth of a unit.
Answer:
√(137)
Step-by-step explanation:
First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:
L x W = 44
4 x W = 44
W =11
Now the Pythag, Theorem:
diagonal^2 = 4^2 + 11^2
d^2 = 16+121
d^2 = 137
d = √(137)
Answer:
about 11.7 units (Pls mark me as brainy)
Step-by-step explanation:
Find the width:
length⋅width= area
4w=44 Plug in known values.
4w/4=44/4 Divide both sides by 4
w=11
Find the diagonal:
(4)^2+(11)^2= c^2 Use the Pythagorean Theorem.
16+121= c^2 Simplify.
137=c^2 Simplify.
±√137= √c^2 Square root both sides.
11.704699...= c Simplify. Ignore the negative root, as the length must be positive.
11.7≈ c Round to the nearest tenth.
The length of the diagonal is 11.7 units.
Suppose you invest $1850 at an annual interest rate of 5.2% compound annually. write a function to re[resent the total earnings e(t) as a function of time in years,t.
Answer:$1,942.50
Step-by-step explanation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.5%/100 = 0.025 per year.
Solving our equation:
A = 1850(1 + (0.025 × 2)) = 1942.5
A = $1,942.50
The total amount accrued, principal plus interest, from simple interest on a principal of $1,850.00 at a rate of 2.5% per year for 2 years is $1,942.50.
the sum of two consecutive integers is 65. what are the two integers? show steps please.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the two integers, given that they are consecutive, and their sum is 65.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.Let the first integer be x, and let the second integer be x+1.
Their sum is 65. Let's set up our equation:
[tex]\longmapsto\sf{x+x+1=65}[/tex]
Combine like terms:
[tex]\longmapsto\sf{2x+1=65}[/tex]
Subtract 1 from both sides of the equal sign:
[tex]\longmapsto\sf{2x=64}[/tex]
Divide both sides by 2:
[tex]\longmapsto\sf{x=32}[/tex]
To find the second integer, subtract the first integer from the sum of the two integers:
[tex]\longmapsto\pmb{65-32}[/tex]
[tex]\longmapsto\pmb{33}[/tex]
The integers are: 33 and 32.
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
What should be done so that the expression will have a value of 10?
12 - 2 + 2 2 ÷ 8
please help with this math problem i will give brainliest
Write the rational number as a decimal.
−38 =
Answer:
-0.38
Step-by-step explanation:
It takes 15 people to play a 13 minute pool game. How many people would it take to play a 39 minute game?
Answer:
depends on how much beer is left
Step-by-step explanation:
45 people would it take to play a 39 minute game.
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
What is percentage?The percentage is defined as the ratio expressed as a fraction of 100.The percentage is denoted by sign of %.For example, if XYZ scored 46% marks in his test, it means that he scored 46 marks out of 100. It is written as 46/100 in the fraction form and 46:100 in terms of ratio.
Given that,
It takes 15 people to play a 13 minute pool game
So, a 23 minute pool game played by 15 people
A one minute pool game played by 15/13 people
The ratio of one minute pool game to people = 15 : 13
A 39 minute pool game played by number of people = 39(15/13)
A 39 minute pool game played by number of people = 45
Hence, 45 people would it take to play a 39 minute game.
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11.3 9 9 9 7.8 surface area of triangular prism
Answer:
Total area = 187.65 cm^2
Step-by-step explanation:
AREA of a triangle = 1/2 base * height
THREE sides 3 * 1/2 *9 * 11.3 = 152.55 cm^2
Bottom 1/2 * 9 * 7.8 = 35.1 cm^2
total = 187.65 cm^2
The point-slope form of the equation of the line equation of the line that passes through (-9,-2) and (1,3) is y-3=1/2(x-1)
Answer:slope is 1/2, intercept is 2.5
Step-by-step explanation:slope is coefficient of x. Intercept is sun of constants on right side when left side is y. Add 3 to both sides
find the length and width of a rectangle whose
Length is 5cm longer than it’s width
Whose area is 50cm
Step-by-step explanation:
width= x (let)
length= x+5
Area=50 cm
Now ,
area = l ×b
50 = (X×X+5)
50 = (2X + 5)
50÷ 2= X+5
25 -5 = X
X=20
LENGTH = X+5
20+5
=25
what is 10 1/2 divide by 2 1/4
Answer: 4 2/3 or 14/3 if wanting a improper fraction.
Convert 650 ml into litres
Answer:
.65 litres
Step-by-step explanation:
What is the closest point on the line y = 2x - 5 to (4, 8)?
Answer: I think it is (6.5, 8).
Step-by-step explanation:
I don't know if you had any choices, but I graphed it on Desmos and that was the closest point. I hope this helps!! :)
Submit the answers to the checkpoint questions in the text box with the Lesson Review.
Part A Checkpoint
Directions: Complete each of the following questions.
(PICTURE FOR THE FIRST QUESTION)
1. Indicate the kind of energy represented in each example below:
a. Burning fuel in a car
b. Exploding an atomic bomb
c. Current moving in a wire
d. Tires sliding on pavement when brakes are applied
e. Football player running for a touchdown
2. All forms of energy except nuclear fission come from the _________.
3. Energy is ______________.
its that one dudee!!!!!
help me plss ty in advance:))
Answer:
AACBC7Step-by-step explanation:
Q1
A graph which uses horizontal or vertical bars with no gaps to represent data is called bar graph.
Q2
Data plotted against the frequency in a histogram is class interval.
Q3
The data plotted against the frequency in an ogive is cumulative frequency.
Q4
A score of 50 under the column > c.f. with the boundaries 23.5 - 28.5 means 50 students got a score greater than 23.5.
Q5
Mean = 2(2) + 3 + 4 + 7(3) + 10 + 11 + 2(12) / 11
Mean = 4 + 7 + 21 + 21 + 24 / 11
Mean = 77/11
The mean is 7
Q6
The median is the middle term.
The median of the distribution is 7
BRAINLIEST if correct answer
total price of made dolls:
n×£8.50
=170×£8.50
=£1445
total cost:
C= 5n+432
C = 5×170+432
C= £1282
profit=price-cost
p= £1445-£1282
= £165
Hi, I'm in 7th grade and I'm about to fail Mathematics. Please help me...
2x - 5x =
i beliebe 3×=0
ao the answer should be x/0
Answer:
-3x
Step-by-step explanation:
The order of where the terms are placed definitely matter for subtraction. 5x-2x is 3x, but because the smaller number is first, we've gone into the negatives. Think of it like this:
2x - 5x
-2x -2x
__ __
0 -3x
Because we still have the - in front of the 3, it is a negative 3.
Hope this helps!
Solve for all values of y in simplest form.
21 = |7y|
Answer: y =
Submit Answer
f(x) = 3 and g(x) = x – 2
3 = x – 2
5 = x
Answer:
The question is incomplete
Step-by-step explanation:
Because the question not tells that what is to be find .