Answer:
[tex]f^\prime(x)=-(x+1)^2-4[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=x^2[/tex]
And we want to write its equation after being: 1) Flipped over the x-axis, 2) shifted 4 units down, and 3) shifted 1 unit to the left.
To denote a flip over the x-axis, we multiply the function by -1. Hence:
[tex]f^\prime(x)=-x^2[/tex]
Is our function flipped over the x-axis.
To shift n units vertically, we simply add n to our function.
Since we are going 4 units downwards, we will add -4 to our function. Hence:
[tex]f^\prime(x)=-x^2-4[/tex]
Finally, to shift n units horizontally, we substitute our variable [tex]x[/tex] for [tex](x-n)[/tex].
Since we are shifting 1 unit to the left, n=-1. Hence, we will substitute [tex]x[/tex] for [tex](x+1)[/tex]. Therefore:
[tex]f^\prime(x)=-(x+1)^2-4[/tex]
So, our final function is:
[tex]f^\prime(x)=-(x+1)^2-4[/tex]
A band is planning a concert at a local theater. The graph below shows the ticket sales per hour.
What is the slope of the line shown in the graph?
A.
-400
B.
-250
C.
-2,000
D.
-1,500
Answer:
A. -400
Step-by-step explanation:
Linear pairs definition?
Answer:
A linear pair is two adjacent angles whose sides that are not common form a straight line.
Step-by-step explanation:
Which piecewise function is shown in the graph?
Answer:
A
Step-by-step explanation:
why would i lie to you
Which statements about angles and geometric figures are true? Check all that apply.
An acute angle and an obtuse angle always form a straight angle.
An obtuse angle has a measure less than 90 degrees.
The sum of the interior angles of a quadrilateral is 360°.
The sum of the interior angles of a triangle is 180°.
A right angle has a measure of 90°.
A triangle can have two right angles.
Answer:
c,d,e
Step-by-step explanation:
Just took it and edge
Answer:
C, D, E.
Step-by-step explanation:
I got the answer on edge
Jay wants to buy a book for $8.00. The sales tax is 6%. How much will Jay pay for the book including tax?
Answer: $8.48
Step-by-step explanation: 8x.06 = .48 +8 = $8.48
I Need help plz
i'm dumb
Use any method to multiply (–14ab)(a + 3b – 4c).
Question 2 options:
A)
–14a2b – 42ab2 + 56c2
B)
14a2b + 42ab2 + 56abc
C)
–14a2b – 42ab2 + 56abc
D)
–14a2b – 42a2b2 + 56c
Answer:
-14 a^2 b - 42 a b^2 + 56 a b c C. is the answer
Step-by-step explanation:
Expand the following:
-14 a b (a + 3 b - 4 c)
Hint: | Distribute -14 a b over a + 3 b - 4 c.
-14 a b (a + 3 b - 4 c) = -14 a b a - 14 a b×3 b - 14 a b (-4 c):
-14 a b a - 14×3 a b b - 14 (-4) a b c
Hint: | Combine products of like terms.
-14 a b a = -14 a^2 b:
-14 a^2 b - 14×3 a b b - 14 (-4) a b c
Hint: | Combine products of like terms.
-14 a b×3 b = -14 a b^2×3:
-14 a^2 b + -14×3 a b^2 - 14 (-4) a b c
Hint: | Multiply -14 and 3 together.
-14×3 = -42:
-14 a^2 b + -42 a b^2 - 14 (-4) a b c
Hint: | Multiply -14 and -4 together.
-14 (-4) = 56:
Answer: -14 a^2 b - 42 a b^2 + 56 a b c
Serena paid $24.60 for 7 and 1/2 gallons of gasoline. What is the cost per gallon of gasoline?
Answer:
The cost would be $3.28 for each gallon.
How to solve y=2x-10 and 6x+7y=10 using substitution
Answer:
x=4
Step-by-step explanation:
y=2x-10 and 6x+7y=10
6x+7(2x-10)=10
6x+14x-70=10
20x=80
x=4
help me please it's due at 2:30
Answer:
i have the same doubt
Step-by-step explanation:
HELP QUICK PLEASE !!
Given: AABC with vertices A(5, -2), B(5, -7), and C(1, -2). Which set of
coordinates best repositions the triangle to make a coordinate proof easier?
Answer:(0,0),(0,4) and (5,0)
Step-by-step explanation:
It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.
So this answer has a y intercept and an x intercept.
Find the value of X while a⊥B and b║c
Which of the following is the graph of y==(x-2) 0 - 5?
12
1
2
3
4
15
X
-
3
4
5
-6
-7
-8
-9
-10
-5 -4 -3 -2 -1
1
2.
3
4
5
Given the equation x^2=16, which statement below describes the solution(s)?
Answer:
4
Step-by-step explanation:
x²=16
x=√16
x=4
Answer:
x^2=16
^ stands for power or exponent
so, the equation is: x square= 16
for this x should be equal to 4
now,
4^2=16
Step-by-step explanation:
Can someone please actually help me with my math assignments
I WILL MARK BRAINLIEST!!!
The product of a number and negative three is twenty-seven. Which of the following could represent this statement?
-3n + 27
-3(27) = n
-3n = 27
-3 = 27n
Answer:
-3n=27
Step-by-step explanation:
The value of n is -9.
So we can represent this in an equation. We won't get that as a result if we multiply the following
-3n=27 Divide -3 by both sides.
n=-9
Answer:
The product of a number and negative three is twenty-seven.
-3n=27
A satellite travels 12 miles in 15 minutes at a constant speed. What is the satellite’s speed in mile per hour?
Answer: 46 mph
Step-by-step explanation: 15*4=60 so 12*4=46
I hope this helps!
find the area of the regular hexagon PQRSTU of sides 8 cm as shown in the figure
Answer:
Area = 245m^2
Step-by-step explanation:
We can split this figure into 2 parts, a rectangle and a trapezoid.
Rectangle Sides = 10m and 20m
Area = 10m x 20m = 200m
Trapezoid formula = a+b/2(h)
a and b are the 2 bases and h is the height
Using a little deductive reasoning we get the following, 5+10/2(6)
This simplifies to 15/2(6) -->
7.5(6) = 45
Thus, our area is 200 + 45, or 245m^2
ILL GIVE BRAINLEST!
Probably a proccess look it you should be able to find it on the web. You got this!
Answer:
the 2nd one is the 2nd one the 1st one is the 3rd one and the last one is the 1st one brainlest pleaze
Step-by-step explanation:
HELP WITH THE QUESTION IN THE PICTURE PLS !
Answer:
Step-by-step explanation:
54°
Does anyone know know the correct answer?! Please help! If the answer is correct ill mark you as the best!
Answer:
D)
Step-by-step explanation:
In slope-intercept form in order to find the perpendicular equation you change the sign and find its reciprocal.
So in the equation y= -3x+1, the opposite sign of - is + and the opposite of 3 is 1/3
The number of girls in a classroom is greater than the number of boys. There are more than 2 girls. Write a system of inequalities to model this situation. Use x to represent the number of boys and y to represent the number of girls.
Answer:
x < y > 2
Step-by-step explanation:
Girls is more than boys, so:
y > x
Girls is more than 2, so:
y > 2
So:
x < y > 2
I hope this helps you :)
I need help with both of these
Answer:
14) B
15) C
Step-by-step explanation:
Ratio number 1.50:1.38
pls try and show work due today
Answer:
Step-by-step explanation:
you start from 2 on the y axis and then go up 4 and right 3 so it will take you to coordinate point (6,3) then you start from 2 on the y axis again and go down 4 and left 3
5 divided by one third
Answer:
15
Step-by-step explanation:
5/ 1/3
if you are dividing a fraction, you have to flip the reciprocal and multiply.
1/3= 3 (the reciprocal)
5*3= 15
Hope this helps!
Answer:
15
thats what i got
A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is °F. The submarine dives down 115 feet deeper, and the water temperature drops by °F. What were the elevation and the water temperature after the submarine dove? Assume that sea level is at 0 feet of elevation. Complete the steps below to solve the problem.Which operation must you use to find the water temperature after the submarine’s final dive? Which word or words in the problem signify this operation?
Answer:
The problem states that the temperature drops 2 degrees F. The word drops signifies that I should subtract 2 1/5 degrees F from 63 1/4 F.
Step-by-step explanation:
Correct Answer
Answer:
The problem states that the temperature drops 2 degrees F. The word drops signifies that I should subtract 2 1/5 degrees F from 63 1/4 F.
Step-by-step explanation:
what is the answer
Answer:
x=-49/3
Step-by-step explanation:
The cheerleaders at City High make their own
megaphones by cutting off the small end of a
cone made from heavy paper. If the small end of
the megaphone is to have a radius of 2.5 cm,
what should be the height of the cone that is cut
off?
2.5 cm
60 cm
Answer:
The height of the cone that is cut would be 2.5
roots are 1 and 3 coefficient 1
Answer:
x² - 4x + 3
General Formulas and Concepts:
Alg I
Factoring/FOILingStep-by-step explanation:
Step 1: Define
Roots: x = 1, 3
Leading Coefficient: 1
Step 2: Write linear roots
(x - 1)(x - 3)
Step 3: Expand by FOIL
x² - 3x - x + 3
Step 4: Combine like terms
x² - 4x + 3
ILL MARK BRAINLIEST IF FAST
Select the correct answer.
Which table represents a linear function that has a greater unit rate than that of the function y = 200x + 50?
Answer:
D
Step-by-step explanation:
A unit rate is basically which one increases more as time goes on. Now. to make it easier let me explain visual.
You have 50 apples at the start and every hour you get 200 more apples, sweet!
Now let's look at the chart.
The first one is 200x+100, this is wrong since this has a better start but you don't get as much apples.
Same goes for the B and C. The only one that would make sense is D since you're also adding 10 more apples for each one you increase.
