If f(x)=2x^3+4x^2, find f(-3)
Answer:
f(-3) = -18
Step-by-step explanation:
f(x)=2x^3+4x^2, find f(-3); let's rewrite
f(x) = 2[tex]x^{3}[/tex] + 4[tex]x^{2}[/tex]; substitute -3 for x
f(-3) = 2[tex](-3)^{3}[/tex] + 4[tex](-3)^{2}[/tex]; do the exponents
f(-3) = 2(-27) + 4(9); multiply and add
f(-3) = -54 + 36 = -18
The value of the function f(x) = 2x³ + 4x² at f(-3) is - 18.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = 2x³ + 4x².
Now, The value of the function f(-3) can be obtained by replacing
x with - 3.
Therefore, f(-3) = 2(-3)³ + 4(-3)².
f(-3) = 2×-27 + 4×9.
f(-3) = - 54 + 36.
f(-3) = - 18.
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Dalia earns $108.75 for working 15 hours a day as a holiday helper wrapping presents. At this rate, how much money will she make if she works 19 hours a day next week?
Last year, Keith opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?
Answer:
You would multiply $8200 by .075, giving you 615. Then to find the decrease. Take the starting value (8200) by the end value (615). and you would get 7,585.
number of solutions
f(x) = x3 – 5x2 + 9x – 45
There is a graph image below.
how to write
half of a
as an expression
Answer:
1/2
Step-by-step explanation:
Answer:
a/2 or 1/2*a
Step-by-step explanation:
On Monday, the temperature was 43°F. On Tuesday, the temperature increased 6°F. On Wednesday, the temperature decreased 13°F. Which integer represents the overall change in temperature from Monday to Wednesday?
Answer:c Thursday
Step-by-step explanation:
If on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F the overall change in temperature from Monday to Wednesday will be 24°F.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
It is given that on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F. On Wednesday, the temperature decreased by 13°F.
The overall change in temperature from Monday to Wednesday is found as,
= 43°F + 6°F - 13°F
= 24 °F
Thus, if on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F the overall change in temperature from Monday to Wednesday will be 24°F.
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como se simplifican los términos algebraicos
Answer:
what the????????..........
A 27- inch long ribbon was cut into 4 equal lengths. How long was each piece of ribbon?
Answer:
6.75 I think
Step-by-step explanation:
Just do 27 divided by 4
4(2.5)^2x = 4
The value of x?
Answer:
x=0
Step-by-step explanation:
If x is 0, then 2x becomes 0. (2.5)^0 would then be 1. 4*1 would give 0 so x=0.
The property tax on a $60,000 home is $1,500. At this rate what will the property tax be on a home worth $75,000?
Answer:
The answer is $1,875
Step-by-step explanation:
1. I just divided $60,000 by 2 and $1,500 by 2 and got $30,000:$750
2. I realized I needed to do more so I divided again and got $15,000:$375. Next I added it to the question $60,000 + $15,000 = $75,000
3. So then $1,500 + $375 = $1,875
4. $75,000:$1,875
4. Hope this helps :)
Is this congruent by SSS, SAS, AAS, ASA??
Answer:
sss
Step-by-step explanation:
answer pleaseeeeeeeeeeeeeeeee
A farm lets you pick 3 pints of raspberries for $12.00. Use decimal notation if necessary.
a. What is the cost per pint? $
b. How many pints do you get per dollar?
pint(s)
c. At this rate, how many pints can you afford for $20.00?
pints
d. At this rate, how much will 8 pints of raspberries cost? $
Answer:
a=$4.00, B=1/4 a pint per dollar, c= 5
Step-by-step explanation:
Julio is running in a 13.1-mile race. There are water stops every 2.75 miles along the route from the beginning of the race.
What is the distance between the last water stop and the end of the race? Enter your answer in the box.
Answer:
The distance between the last water shop and the end of the race is 2.1 miles
Step-by-step explanation:
Keep on adding 2.75 until you get the number 11 or you can just multiply 2.75 by 4 and get 11. Subtract 11 from 13.1 and you will get 2.1 miles.
I hope this helps
-2x + y = 0
x - y = -3
Answer:
The value of x is 3 and y is 6.
Step-by-step explanation:
You can solve this simultaneous equation by elimination method :
[tex] - 2x + y = 0 - - - (1)[/tex]
[tex]x - y = - 3 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex] - 2x + y + x + (- y) = 0 + ( - 3)[/tex]
[tex] - x = - 3[/tex]
[tex]x = 3[/tex]
[tex]substitute \: x = 3 \: into \: (2)[/tex]
[tex](2)⇒[/tex]
[tex]3 - y = - 3[/tex]
[tex] - y = - 6[/tex]
[tex]y = 6[/tex]
Bob the builder has 3 feet of rope. He cut off 18 inches of the rope to tie a gate together. What percent of the rope did he use? (
Answer:
1.5
I am not 100% sure.. but you should double-check
5a+4=-11 please show work and solve for 5
Answer:
-3
Step-by-step explanation:
5a=-11-4
5a = -15
a = -3
Answer:
5a= -11 - 4
5a = - 15
a = -15/5
a= -3
When reading a word problem, there are clues that will help you to determine whether you need to find the surface area or the volume to solve the problem. Which clues would indicate that you need to find volume? Check all that apply. an object that is filled covering the outside of an object an object that is solid cubic units square units
ANSWER: 1,3,4
The options are as follows
(1) An object that is filled
(2) Covering the outside of an object
(3) An object that is solid
(4) Cubic units
(5) Square units
Answer:
(1) An object that is filled
(3) An object that is solid
(4) Cubic units
Step-by-step explanation:
Clues that applies
(1) An object that is filled: By filling means that object has that amount of volume that is being filled completely.
(3) An object that is solid is likely a clue to finding the volume of an irregularly shaped solid.
(4) Cubic units, volume is measured in cubic units.
Clues that Doesn't Apply
(2) Covering the outside of an object is a clue to finding the surface area of an object.
(5) Square units is a measure of area not volume.
Write the equation in slope-intercept form through the point (1, -5) and is perpendicular to the line y = (1/8)x + 2 and graph
Answer:
Step-by-step explanation:
perp. -8
y + 5 = -8(x - 1)
y + 5 = -8x + 8
y = -8x + 3
4. John is packing books into boxes. Each box can hold either 15 small books or 8
large books. He needs to pack at least 35 boxes and at least 350 books, Write a
system of linear inequalities to represent the situation
Answer:
Your system of inequalities is:
x + y ≥ 35
15x + 8y ≥ 350
Step-by-step explanation:
Let x = number of boxes of small books and let y = number of boxes of large books.
Since John needs to pack at least 35 boxes:
(number of boxes of small books) + (number of boxes of large books) (is at least) 35
x + y ≥ 35
Since John needs to pack at least 350 books:
(number of small books packed) + (number of large books packed) (is at least) 350
(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350
15x + 8y ≥ 350
what is the vertex of y=x^2 +x-6?
y =(x+ 1/2 ²- 25/4 . explanation. y=x²+x=6 . complete the square.
y=x²+x+(1/2)² -6 - 1/4 . simplify
y=(x+1/2²)- 25/4 in the vertex form
hope this will help u
Please help!!! Use equivalent ratios to find the unknown value
Answer:
24/27=8/9
Step-by-step explanation:
Sean said that if an item is on sale for 50% off plus an additional 20% off, that is the same as a 70% discount. Megan disagrees. Who is correct? Justify your reasoning.
Answer:
Megan is correct because when you take 20% off, you're taking it off the 50%.
Step-by-step explanation:
Sorry guys but I still don’t understand, can you help me with this question?
Jerry purchases a used sofa for $275. He cleans and reupholsters the sofa to make it look brand new. After all the improvements, Jerry sells the sofa for 40% more than what he originally purchased it for. What was the profit Jerry made after selling the sofa?
Answer:
$110Step-by-step explanation:
Step one:
we are told that the cost of the sofa is $275
also, he sells it for 40% more of the cost price
let us find 40% of $275
=40/100*275
=0.4*275
=110
=$110
Step two:
This means that the selling price is 275+110
=$385
profit = selling price- cost price
profit=385-275
profit=$110
Please help 90 points
Answer:
can u make a new one because i have a to download the pdf and go back and fourth
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Click on the PDF file link - your browser will automatically launch the Adobe Acrobat reader.
Click the download icon - usually located in the top left or right corner of the screen dependent on which version you have installed.
determine the vertex of y=4(x-25)2+ 91
Answer:
(25, 91)Step-by-step explanation:
y = a(x - h)² + k ← vertex form of the equation of the parabola with vertex (h, k)
So y = 4(x - 25)² + 91 means:
a = 4
x - 25 = x - h ⇒ - 25 = - h ⇒ h = 25
+ 91 = + k ⇒ k = 91
Therefore vertex is:
(25, 91)
How many 1/8-inch pieces of ribbon can be cut from a piece of ribbon that is 3/4 inch long? It can't be a fraction, sadly :')
Answer:
6 pieces.
Step-by-step explanation:
3/4 divided by 1/8
= 3/4 / 1/8
Invert the 1/8 and multiply:
= 3/4 * 8/1
= 24/4
= 6.
What does congruent mean
Answer:
If two figures have the same size and shape, then they are congruent. so if they have the same shape and size even if they are flipped or mirrored they are congruent.
Step-by-step explanation:
The term congruent is often used to describe figures like this, the pictire below. if you look up congruent shapes and look at many examples that will definitely help you understand alot more better what congruent means.
PLZZZZZZ HELP ME!!!!!!!
15 x 5x
Answer: x=0
Step-by-step explanation:
x in (-oo:+oo)
((15*x)/5)*x = 0
3*x^2 = 0 // : 3
x^2 = 0
x = 0
x = 0