Evaluate the function
f(8) + g(-1) for the functions f(x) = -2x + 9 and g(x) = x²-2
Answer:
- 8
Step-by-step explanation:
To evaluate f(8) substitute x = 8 into f(x)
f(8) = - 2(8) + 9 = - 16 + 9 = - 7
Similarly for g(- 1)
g(- 1) = (- 1)² - 2 = 1 - 2 = - 1
Then
f(8) + g(- 1) = - 7 + (- 1) = - 7 - 1 = - 8
Using laws of exponents,
The answer is :
- i
I hope this helps
Answer:
-i
Step-by-step explanation:
just did it on edg 2021
PLEASE HELP. URGENT!
Determine the equation of a line in slope, y-intercept form, that has a slope of -2/5 and passes through the point (-5,7)
Answer:
y = -2/5x + 5
Step-by-step explanation:
y = -2/5x + b
7 = -2/5(-5) + b
7 = 2 + b
5 = b
If there are 28 girls and 32 boys in the school’s band, what is the ratio of boys to to total students?
If it takes 2 cups of flour to make 45 cookies, how many cups of flour will it take to make 135 cookies? (hint: set up a proportion.)
A factory makes 12 bikes in 3 hours. If it keeps making bikes at the same rate, how many bikes will it have made in 8 hours? (hint: set up a proportion.)
On a map, two cities measure 6.2 cm apart. If the scale of the map is 5 cm per 10 miles, then how many miles apart are the cities? (hint: set up a proportion.)
4 questions will mark brainliest 1st to answer them in order
Answer:
1. 8:15
2. 6
3. 32
4. 12.4
If g(x) is the inverse of f(x), what is the value of f(g(2)?
============================================================
Explanation:
g(x) is the inverse of f(x), which tells us that g undoes everything f(x) does.
If we input x = -6 then f(x) outputs 1
g(x) then reverses this to say that g(1) = -6. The inputs and outputs swap roles.
Moving to row 2, we see that f(-3) = 2 which reverses to g(2) = -3
We'll replace the g(2) with -3 to go from
f( g(2) )
to
f( -3 )
-3 isn't the answer, but I wanted to put it in bold to show how the replacement is happening.
From the table, we see that f(-3) = 2 which is the final answer
In other words, f(g(2)) = 2
------------------------------
Side note:
We can say that f(g(x)) = x for any number x in the domain of g(x).
As another example, g(3) = 5 and f(g(3)) = f(5) = 3.
The same works the other way around meaning that g(f(x)) = x.
Can someone help me? It's urgent and thank you!
Look at all the picture's and tell me which one it is do it by A,B,C,D
Answer:
C
Step-by-step explanation:
It should be C since whenever something is explained by X, the number (which in this case is 3) will be negative on the X axis line. Hope I helped
What is m+n?
Please solve! I really need help!!
Answer:
I think 180
Step-by-step explanation:
I think 180 because it looks like M+n are supplimetary angles.
Sorry if this is wrong.
in a cave, a stalactite gets 4 millimeters longer each year. This year it is 72 centimeters long. How many years until it is 1 meter long?
50 Pts!!!!!!! What is the straight line distance between the points?
A bag contains 5 red marbles, 7 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be blue?
A certain word game contains a large 20-sided die with letters instead of numbers on the sides. If all of the vowels (a, e, i, o, and u) are on the die, then what is the probability of rolling a vowel?
Answer:
The probability to get the vowel is 1/4.
Step-by-step explanation:
The number of elements in sample space, n(S) = 20
The number of elements in event, n (E) = 5
The probability to get the vowel is
[tex]P(E) =\frac{n(E)}{n(S)}\\\\P(E)=\frac{5}{20}\\\\P(E) = \frac{1}{4}[/tex]
A lamp post 15 feet high casts a shadow
that is 12 feet long. At the same time a
stop sign 10 feet high casts a shadow how
many feet long?
is due today !! need help (show work/explanation)
Answer:
Step-by-step explanation:
radius=diameter/2
=8/2
=4 m
volume of a cylinder =πr^2h
=3.14*(4)^2*13
=40.82*16
=653.12 m^3
5x + 1/2 y^2 What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
Answer:
16
Step-by-step explanation:
5x+1/2y^2
5(3)+1/2(2)^2
15+1^2
15+1=16
Any help please?? I've been stuck on this answer for too long its embarrassing.
Answer:
13/16
Step-by-step explanation:
The pan is divided into 16 bars. His family eats half and then another 5/8. What the question is asking you to do, is to count how many green bars there are left in the pan.
Hope this Helps!
-kiniwih426
Identify each expression as linear or nonlinear.
8xy. Please answer
Answer:
I want to help but I don't understand the question. Can you plz send a picture of the question
For which rational expression is –2 an excluded value of x?
a.(x-3)/x^2-4
b.(x-3)/x^2+4
c.(x-4)/x^2-3
d.(x+4)/x^2-3
Answer:
option a is the answer
Step-by-step explanation:
put the value of x in each expression as x = -2
you'll see that in option a the expression becomes
[tex] \frac{x - 3}{ {x}^{2} - 4} = \frac{ - 2 - 3}{ {( - 2)}^{2} - 4} \\ = \frac{ - 5}{4 - 4} \\ = \frac{ - 5}{0} [/tex]
which is not defined. hence -2 is excluded value
The perimeter of a rectangle is 80x. The base is 7 times the height. In terms of x, what are the dimensions of the rectangle?
a.
h = 10x, b = 10x
c.
h = 3x, b = 5x
b.
h = 5x, b = 35x
d.
h = 5x, b = 25x
F is proportional to a If F = 36 when a = 9 find, a when F = 32
Answer:
a = 8
Step-by-step explanation:
Given F is proportional to a then the equation relating them is
F = ka ← k is the constant of proportion
To find k use the condition F = 36 when a = 9
36 = 9k ( divide both sides by 9 )
4 = k
F= 4a ← equation of proportion
When F = 32 , then
32 = 4a ( divide both sides by 4 )
8 = a
Who good at angles ?
Answer:
JRQ = 56
Step-by-step explanation:
SRQ - SRJ = JRQ
166 - 110 = 56
write one problem statement for each subject area that stactistics can solve
Answer:
look in explanation
Step-by-step explanation:
what is the probability of the ball hitting u in dodge ball in pe
what is the ratio of your computer to everyone else's in comp science
how much of your essay did you finish (in a fraction)
how many people are there in psychology class for every notebook?
Need help with this ASAP DUE SOON PLEASE AND SHOW WORK
Answer:
The answer is gonna be 20
Step-by-step explanation:
Since its 2 in and 10 in. u have to do 2*10=20
Which of the following is the correct graph of the compound inequality 4p + 1 >-11 or 6p +3 <39
Answer:
Option C
only there is p > -3
p < 6
Answer:
c
Step-by-step explanation:
What is the answer to this question??
Answer:
12
Step-by-step explanation:
sqrt(144)
What number times itself equals 144
12*12 = 144
-12*-12 =144
Given your choices, your solution is 12
Which of the following is a factor of 8x2– 10x– 3?
Answer:
8x2- 10x- 3 = 46
Step-by-step explanation:
justification of scissors
Answer:
Following are the description of the scissors:
Step-by-step explanation:
The tool is used to cut cloth, paper, and other materials. This refers to two blades placed one on each other and attached inside the middle to enable the thumbs and fingertips to opened and shut through hooks at the bottom of the handles.
It may be used to cut different thin materials, including papers, cartons, sheets, cloth, cloth, or wire. For specific needs a broad range of scissors and shears are available.
Tony is building a new silo to store corn as animal feed. It will be a cylinder
topped with a half-sphere, and must store 21 000 t of corn. The entire silo can be
filled with corn. Tony wants to minimize the surface area of the silo to reduce
materials and paint costs. He has the following information:
• 1 cubic m of corn has a mass of 700 kg.
• Building costs are $8/m2, taxes included.
• Paint comes in 3.8 L cans.
Each can covers 40 sq m and costs $35,
taxes included.
• Corn costs $140 per tonne ($140/t), taxes
included.
02
Recall that 1 ton = 1000kg
What is the total cost to build, paint, and fill a silo with the least surface area?
Answer:
its $2,400
Step-by-step explanation:
if this helps please mark brainliest
Please I need help with this!!!!!!!
Answer:
Step-by-step explanation:
1). Step 4:
[tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]
[tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]
[tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]
Step 5:
[tex]x=\sqrt[3]{(5)^3\times 5}[/tex]
[tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
[tex](3x-1)^{\frac{1}{5}}=2[/tex]
Step 1:
[tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]
Step 2:
[tex](3x-1)=2^5[/tex]
Step 3:
[tex]3x=32+1[/tex]
Step 4:
[tex]x=11[/tex]
4). By substituting [tex]x=11[/tex] in the original equation.
[tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]
[tex]=(2^5)^\frac{1}{5}[/tex]
[tex]=2[/tex]
There is no extraneous solution.
1). Step 4:
x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31
x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a
x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5
Step 5:
x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5
x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
(3x-1)^{\frac{1}{5}}=2(3x−1)51=2
Step 1:
(3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215
Step 2:
(3x-1)=2^5(3x−1)=25
Step 3:
3x=32+13x=32+1
Step 4:
x=11x=11
4). By substituting x=11x=11 in the original equation.
(3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51
=(2^5)^\frac{1}{5}=(25)51
=2=2
There is no extraneous solution.
Wilt Chamberlain scored 100 points in a single basketball game on March 2, 1962. In that game, he made 36 field goals (baskets) in 63 attempts. Find the ratio of field goals to attempts
Answer:
Field goals: No. of attempts
36:63
4:7 (simplest form)
Hence, the answer is 4:7.
hi please answer me asap I will mark brainlist
Answer:
1) c
2) b
3) d
4) b
5) c
6) b
7) b
8) d
9) c