if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
g(f(x))=___x^2+___x+___
Answer:
Step-by-step explanation:
g(x^2 + 2x - 4)
3(x^2 + 2x - 4) + 1
3x^2 + 6x - 12 + 1
3x^2 + 6x - 11
2. Simplify the following expression:
(10 – 7r - p2)+(-6r2 - 18 +5r)
Your answer
Answer:
-p^2-6r^2-2r-8
Step-by-step explanation:
When you simplify it you get that. Hope this helped :)
The solution to the given expression is -8 - 2r - p² - 6r² which is determined by performing the arithmetic operation.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The given expression is given in the question
(10 – 7r - p²) + (-6r² - 18 +5r)
Open the parentheses and rearrange the terms,
10 - 18 - 7r + 5r - p² - 6r²
Apply the arithmetic operation in the likewise terms,
-8 - 2r - p² - 6r²
Therefore, the solution to the given expression is -8 - 2r - p² - 6r²
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What is the domain of the function shown on the graph?
A. -10 < x < 2
B. x ≤ 1
C. -∞ < x < ∞
D. x ≤ 2
Answer:
C. -∞ < x < ∞
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values can be any number. Therefore, we have all real numbers as our domain:
(-∞, ∞) or -∞ < x < ∞
Answer:
C. -∞ < x < ∞
Step-by-step explanation:
Plato
Translate into a verbal expression:
3x - 2
Answer:
three times a number minus two
Step-by-step explanation:
x= times a number
Point A is located at (−5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point A'. Which measurement is closest to the distance between point A and point A' in units?
Answer:C) 4.5 units
Step-by-step explanation:
Simplify this expression.
6m4 n4
12m
Answer:
18m+n4
Step-by-step explanation:
i think.
Answer: girly im not gonna lie im no mathematician but i came up with 18m 8n i sowy if it's wrong but, you can't blame a girl from trying .
Step-by-step explanation: i combined like terms but im probably still wrong just saying .
Which is the value of 3b² — b when b = 5?
Answer:
The answer is
70Step-by-step explanation:
3b² - b
when b = 5
Substitute the value of b that's 5 into the expression
That's
3(5)² - 5
= 3(25) - 5
= 75 - 5
We have the final answer as
70Hope this helps you
x-7/4 =-2 I need helpp
Answer:
x = -1
Step-by-step explanation:
x-7/4=-2
x-7=-8
x=-1
In the figure below, O is between M and P, and N is the midpoint of MO. IF NO=3 and MP = 10, find OP.
Answer:
OP = 4
Step-by-step explanation:
N is the midpoint of MO.
Since NO = 3, then MN = 3, and MO = 3 + 3 = 6
MO + OP = MP
6 + OP = 10
OP = 4
A line segment is also a line but the line with finite length and having fixed endpoints. The length of the line segment OP is 4 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given the following details as:
O is between M and P.N is the midpoint of MO. NO=3 and MP = 10.Now, from the figure, We have,
Since O is between M and P and N is the midpoint between MO
MP = MN + NO + OP _____(1)
Now,
N is the midpoint of MO so,
MN = N0
N0 = 3 and MP = 10 ____(2)
MN = NO = 3 _______(3)
From (1)
MP = MN + NO + OP
Substituting (2) and (3) in (1)
10 = 3 + 3 + OP
10 = 6 + OP
Subtracting 6 on both sides
10 - 6 = 6 + OP - 6
4 = OP
OP = 4
Thus, OP = 4.
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jamie's string is 10ft 1in long. emma's string is 6ft 4in long. how much longer is jamie's string
Answer:
Jamie's string is 3ft and 9in
Step-by-step explanation:
10ft 1in
-6ft 4in
=3ft 9in
Answer:
3ft 9 in
Step-by-step explanation:
So, in each foot there's 12 inches. Knowing that, the operation you use is subtraction. So you do 10 ft 1 in - 6 ft 4 in. If you do that operation knowing that 12 inches=1 foot, then you should get 3 ft 9 in.
Please let me know if there is still any confusion.
When dividing two numbers with the same base
Answer:
you subtract the exponents
find the zero of the function h(x) = 4x+2
Answer:
[tex]x=-1/2=-0.5[/tex]
Step-by-step explanation:
So we have the function:
[tex]h(x)=4x+2[/tex]
To find the zero(s) of a function, set the function equal to 0 and solve for x. So:
[tex]0=4x+2[/tex]
Subtract 2 from both sides:
[tex]-2=4x[/tex]
Divide both sides by 4:
[tex]x=-1/2=-0.5[/tex]
So, the zero of the function is -0.5.
This means that the graph (a line) crosses the x-axis at (-0.5, 0).
Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.
The parabola opens downwards since a=____ and this value is _____ 0.
The choices for the second blank question are:
-less than
-greater than
-equal to
g(x) = -(x + 1)^2 - 3
Let's simplify this equation
g(x) = -(x^2 + 2x + 1) - 3
Distribute the negative sign
g(x) = -x^2 - 2x + 1 - 3
Combine like terms
g(x) = -x^2 - 2x - 2
The value of a = -2 and this value is LESS THAN 0
Write a linear function given in the table below. Use function notation.
First, let's choose two points from the table to solve for our slope.
(0, -1) and (1, 4)
Slope = (4 -(-1)) / (1 - 0) = 5/1 = 5
The slope of our line is equal to 5
So far we have y = 5x + b
To solve for be, we need to plug one of our points into the equation.
-1 = 5(0) + b
Simplify
-1 = b
So, our equation: y = 5x -1
what is 91,007,500 in scientific notation?
Answer:
Step-by-step explanation:
the scientific notation of 91,007,500
9.10075 x 10^7
What is the angle of x?
Answer:
Step-by-step explanation:
There are 540 degrees in a pentagon so take 540-(everything there)= 67
Find the midpoint of the segment with the given endpoints
(- 4.7) and (-1,-1)
The midpoint is?
What property is m+7=7+m
Answer:
Commutative propertyStep-by-step explanation:
The "Commutative Laws" say that when we add then we can swap numbers over and still get the same answer.
Please help me ASAP
Answer:
Step-by-step explanation:
Base 5 uses 0, 1 , 2, 3, 4
When we add 2+ 1 = 3
When we add 4 +3 = 7 = 5 +2 . 5 will be carried as 1
4 + 3= 12
In subtraction, 32 - 4
From 2 we cannot subtract 4. So, borrow 5 from 3. So, 2+5 = 7.
7-4=3
32 -4 = 23
I have attached the sums
PLEASE HELP ALGEBRA 2!!!
Step-by-step explanation:
-4.5x -2y = -12.5 -------(1)
3.25x -y = -0.75 --------(2)
From (2) we can make y the subject of the relation
y = 0.75+3.25x -------(3)
Input 0.75+3.25x into y in (1)
-4.5x -2(0.75+3.25x) = -12.5
-4.5x -1.5- 6.5x = -12.5
-4.5x -6.5x -1.5 = -12.5
-11x = -12.5 +1.5
-11x = -11
x = 11/11
x = 1
If x = 1,substitute 1 into x in (3)
y = 0.75+3.25x
y = 0.75 +3.25(1)
y = 0.75 +3.25
y = 4
x = 1,y = 4
A person is trying to quit chewing gum. They decide they will have 64 pieces in week 1, but each week have half as many as the week before. The function f represents the number of pieces of gum they will have in week n. What is a reasonable domain for this function? Explain your reasoning.
Function is missing.
It is;
f(n) = ½⋅f(n − 1) for n ≥ 2
Answer:
Domain for this function is;
n ≥ 1
Step-by-step explanation:
We are told They decide they will have 64 pieces in week 1,
Thus;
f(1) = 64
From the function given;
f(n) = ½⋅f(n − 1)
So;
f(2) = ½•f(2 - 1)
f(2) = ½•f(1)
f(2) = ½ • 64
f(2) = 32
Also;
f(3) = ½•f(3 - 1)
f(3) = ½•f(2)
f(3) = ½ × 32 = 16
Looking at the steps, they follow a general pattern of;
f(n) = 64•½^(n - 1) for n ≥ 1
Thus, the domain for the function for n weeks after the first one is n ≥ 1
[tex](8 + 4 + 3) + (6 + 5 + 11) = [/tex]
Answer:
= 37
Step-by-step explanation:
(8+4+3) + (6+5+11)
= 15 + 22
= 37
Marlene brought a pitcher filled with 10 cups of water to her volleyball game. The paper cups she brought hold Two-thirds of a cup of water each. How many paper cups can Marlene fill with water?
Which math sentence represents the problem?
Two-thirds divided by 10 = 20/30=1/15
10 divided by two-thirds = 30/2=15
10 divided by three-halves = 20/3] 6 and two-thirds
1/10 divided by two-thirds = 3/20
Marlene needs 15 paper cups to fill with water
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Since each paper cups can hold Two-thirds of a cup of water, hence to hold 10 cups of water:
Number of water cups = 10 cups / (two- thirds) = 10 * 3 / 2 = 15
Marlene needs 15 paper cups to fill with water.
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Answer: The answer is B
Step-by-step explanation: got it right on e2020
When they ask, for example "What is the value of √100?" are they asking what is the square root of 100?
Answer: I need help on this tooooooo
Step-by-step explanation:
Answer:
Yes. The term [tex]\sqrt{}[/tex] means "square root".
If there is a number beside the symbol, for example [tex]\sqrt[3]{}[/tex], this means to cube root. But if there is no number, it just simply means square root.
Factorize completely
- 3a² + 4a + 4
Use the ALEKS calculator to find 48% of 70. Do not round your answer.
Answer:
its 28
Step-by-step explanation:
hope this helps also u have to divide 70 divided by 48% in order to get 28
If 3.x - 7 = 5, then 2x – 1=?
Answer: -2
Step-by-step explanation:
-12=x-1 Please help need help
Answer:
x = -11
Step-by-step explanation:
-12 = x - 1
-12 + 1 = x
x = -11
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 11}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: - 12 = x - 1}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation
[tex] \hookrightarrow{ \sf{x - 1 = - 12}}[/tex]
[tex] \tt{Step \: 2 \: }[/tex] : Move 1 to right hand side and change it's sign
[tex] \hookrightarrow{ \sf{x = - 12 + 1}}[/tex]
[tex] \tt{Step \: 3}[/tex] : Calculate
Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.
[tex] \hookrightarrow{ \sf{x = - 11}}[/tex]
The value of x = 11
Hope I helped!
Best regards! :D
~TheAnimeGirl
is something with/without a decimal greater?
Answer:
without
Step-by-step explanation:
Anything without a decimal is greater than something that does.
Answer:
without
Step-by-step explanation:
If it has no decimal, it is greater than a number with a decimal. The answer is without.
57 toys are split into groups of 4 toys. What question do we need to answer here? please don't give wrong answers this test is already missing so plssss help!
Answer:
There will be 14 and 1/4 GROUPS of 4 toys created by 57 toys
Step-by-step explanation:
57 toys divided into groups of 4 toys.
57/4= 14.25 or 14 1/4 GROUPs