F(x)= 2x+1/3x-4 H(x)=3x³-7EvaluateF(x)–¹And Fh(4)
Answers
h(x) = 3x³ - 7
f(h(4)) = 3x³ - 7
f(h(4)) = 3(4)³ - 7
f(h(4)) = 3(64) - 7
f(h(4)) = 192 - 7
f(h(4)) = 185
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The non-profit organization you volunteer for is throwing a fundraiser cookout. You are in charge of buying the hamburgers, which cost $3 per pound, and hot dogs, which cost $2 per pound. The meat budget you are given totals $600 dollars. The inequality 3x + 2y less than or equal to 600 represents the possible combinations of pounds of hamburgers (x) and hot dogs (y) you can buy.
Answers
A standard parabola is y = x^2. Its vertex is at (0,0)
You can change the position (or vertex) of the parabola.
To move a parabola across the x-axis, you can add or subtract a number from x WITHIN brackets of the ^2
eg. (x + 1)^2 will move the parabola across the x-axis. It will move is one unit to the LEFT (as the sign is opposite to the direction it moves ie. The sign it + but you move the whole parabola in the -ve direction).
Adding or subtracting a number from x OUTSIDE of the ^2 moves the parabola up or down the y-axis
eg. x^2 + 3 will move the parabola UP 3 units (the sign is the same as the direction it moves when the added/subtracted number is outside of the ^2 ie. the sign is positive so the parabola moves up in the positive direction)
From this, we can conclude that because (x + 1)^2 + 3, the vertex will be where x = -1 and where y = 3
Vertex : (-1,3)
Calculus:
f(x) = (x + 1)^2 + 3 = x^2 + 2x + 1 + 3 = x^2 + 2x + 4
Expanding the formular to make it easier to differentiate
f'(x) = 2x + 2
Differentiating (finding the formular the the gradiet of the parabola)
0 = 2x + 2
When the gradient is equal to zero, it must be the vertex
-2 = 2x
-2/2 = x
x = -1
Solve to give the x value at the vertex
f(x) = (x + 1)^2 + 3
= (-1 + 1)^2 + 3
Substitute x = -1 into original equatiom to find y value at the vertex
= (0)^2 + 3
= 0 + 3
= 3
Solve for y
Vertex : (-1,3)
Answer:
Vertex : (-1,3) is the answer
Hope this helped!!!!
Step-by-step explanation:
Answers
There is a number line
Start on -7 and move forward 3
-6 -5 -4
Therefore yoy are left on -4
Answers
Answer:
10 sq. ft.
Step-by-step explanation:
2×5=10
Answers
Answer:
48 months
Step-by-step explanation:
12 times 4 48
Answer:
48 months
There's 12 months in 1 year.
So we would multiply 12 months by 4 years to get 48 months
Answers
42 cups of sugar should be used if 21 cups of flour are used
What is Ratio?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
For a given recipe, 12 cups of flour are mixed with 24 cups of sugar
We need to find cups of sugar should be used if 21 cups of flour are used
Let us consider x as cups of sugar should be used if 21 cups of flour are used
Let us form an equation to find x
12/24=21/x
Apply cross multiplication
12x=21×24
12x=504
Divide both sides by 12
x=504/12
x=42
Hence, 42 cups of sugar should be used if 21 cups of flour are used
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Answer:
33 cups of sugar should be used
Step-by-step explanation:
subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used
The successful completion of the exam review packet
The number of days students ate breakfast that semester
The location of students in the classroom
The number of times students completed extra credit
Answers
Answer:
The successful completion of the exam review packet
Step-by-step explanation:
This is the only answer that talks about the school work because every other answer doesn’t even correlate with the question. Except the extra credit one but that one still excludes from the original test. Therefore, it is
The successful completion of the exam review packet
Also I got it right on the test