Answer:
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
Given f(x)=(2x+1)^3. Find f^−1(x). (inverse)
Answer:
Step-by-step explanation:
[tex]f(x)=y=(2x+1)^3\\Exchanging\ x\ and\ y\\\\x=(2y+1)^3\\\\\\Finding\ y\\\sqrt[3]{x} =2y+1\\\\2y=\sqrt[3]{x}-1\\\\\boxed{y=\dfrac{\sqrt[3]{x}-1}{2} =f^{-1}(x)}[/tex]
help plz i will rate
Answer:
Step-by-step explanation:
94 degrees.
Answer:
m1 = 94°
m2 = 26°
m3 = 60°
m4 = 26°
m5 = 60°
m6 = 120°
m7 = 60°
m8 = 60°
m9 = 94°
m10 = 94°
please answer this question I have for you now
Answer:
A. 10
Brainliest, please!
Step-by-step explanation:
(1, 2)(x, 5) = 1/3
5 - 2 / x - 1 = 1/3
3 / x - 1 = 1/3
x - 1 = 3 / 1/3
x - 1 = 9
x = 9 + 1
x = 10
WILL MARK BRAINLIEST
Given the linear function f(x)= - 5/8x + 16, does the point (1,2) lie on the line?
The sum of elght and a number is one hundred. What is the number?
Answer:
92
Step-by-step explanation:
[tex]8+x=100\\\\x=92[/tex]
Answer: B. 92
Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92
Find the value of the expression when x = 4 and y = 6.
8x + 2y + 3
Answer:
47
Step-by-step explanation:
8(4) + 2(6) + 3 = 47
32 + 12 + 3 = 47
18. Mabel gave Margo a bag containing red, white, and
blue marbles. The bag contained half as many red
marbles as blue ones, and 1/4 of the marbles in the
bag were white. If 8 of the marbles were red, how
many marbles were in the bag?
Answer:
32.
Step-by-step explanation:
Let the number of red marbles be x then the number of blue = 2x
So we have 8 red and 16 blue marbles.
If the total number of marbles are y marbles the number of white one = y/4.
So y = y/4 + 8 + 16
3/4y = 24
y = 24 * 4/3
= 96/3
= 32 marbles.
=
a fifth of the sum of number a and 34
Write as an algebraic expression
The answer you are looking for is 1/5(a+34).
Solution/Explanation:
"Of"="multiplication (x)."
So, therefore, write it like this, to get the better picture and visualization,
1/5 times the sum of a number "a" and "34."
"Sum" obviously is related to "addition."
So, therefore, we can simplify the algebraic expression a little bit more,
1/5 times (a+34).
Now, we can finally write it like this.
1/5x(a+34).
The more proper way to write it, however is like this:
1/5(a+34).
So, therefore, the final answer is 1/5(a+34).
I hope that this has helped you. Enjoy your day, and take care!
The given statement is required in the form of an algebraic expression.
The statement is a fifth of the sum of number a and 34.
The sum means addition
So, the sum is [tex]a+34[/tex]
The statement states a fifth of which, means multiplied by [tex]\dfrac{1}{5}[/tex]
The algebraic expression will be the product of [tex]\dfrac{1}{5}[/tex] and [tex](a+34)[/tex]
The algebraic expression is [tex]\dfrac{1}{5}(a+34)[/tex]
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what is the relationship between the location of plate boundaries and the formation of mountainsa
Answer:
Movements of tectonic plates create volcanoes along the plate boundaries, which erupt and form mountains. A volcanic arc system is a series of volcanoes that form near a subduction zone where the crust of a sinking oceanic plate melts and drags water down with the subducting crust.
A trader sold 250 articles for $525,000.00 at a profit of 25%.
a.Calculate the cost of each article.
b.If the trader had wanted 45% profit on the cost price then how much would he sell the articles?
Answer:
a. $2100 b. $945000
Step-by-step explanation:
You have to divide 525000 and 250 to solve for "a". To solve for "b" you need to find %100 of the profit and do %100 of the profit times 0.45 to see how much is %45 of profit.
Is the fraction 1/3 equivalent to a terminating decimal or a decimal that dose not terminate
Answer:
1/3 = .3333333 forever
Step-by-step explanation:
It's a decimal that doesn't terminate.
What is 10 x 0.018? HELP I WILL PLEASE
Answer:
0.18Step-by-step explanation:
10 x 0.018
(On multiplying 10 decimal point will shift one side right)
= 0.18 (Ans)
Answer:
your answer is 0.18
I hope it's helps you
Name the algebraic property demonstrated in the example below:
3 ⋅ (x ⋅ y) = (3 ⋅ x) ⋅ y
Answer:
It's Associative Property of Multiplication.
Thank You
You are offered two jobs. One with a yearly salary of $53,749, and the other an hourly
job with a rate of $26 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?
Answer:
$1170
Step-by-step explanation:
you will have to multiply the the rate you earn hourly by 45hours then it will state the more you'll be making hourly $26×45=$1170
please help with this one
A. is the correct answer
Answer:
A
Step-by-step explanation:
(x-3)(2x+1)= (due to FOIL(First Outer Inner Last)) (First)2x^2-(Outer+Inner)5x-(Last)3. 2x^2-5x-3 is what A says, so A is the answer.
geometry 1.4 - Segment Addition Postulate & Midpoint
i don’t know how to do this so if anyone could also give a in depth explanation i’ll give branliest
Answer:
28
Step-by-step explanation:
AB + BC = AC
14 + 3x-4 = 4x+4
Combine like terms
10 +3x = 4x+4
Subtract 3x from each side
10+3x-3x = 4x+4-3x
10 = x+4
Subtract 4 from each side
10-4 =x-4+4
6 =x
We want AC
AC = 4x+4 = 4*6+4 = 24+4 = 28
Let's see
AB+BC=AC14+3x-4=4x+43x+10=4x+410-4=4x-3xx=6AC
4(6)+4=24+4=28
help plss
----------------------------
Answer:
it ebtween 10 and negetive 4.5
Step-by-step explanation:
I need help with quotients please can somebody help
Evaluate each expression if a=12, b=9, and c=4
b^2+2^a-c^2=?
Answer:
you have to substitute the value of the variables then solve
If HJ=7x-27, find the value of x
Answer:
x= HJ+27/7
Step-by-step explanation:
HJ + 27 = 7x
HJ+27/7 = x
The value of 5x2 - 11x + 18 is
when x = 2.4 and
whenx = -3.
f(x)=5x^2-11x+18
[tex]\\ \sf\longmapsto f(2.4)[/tex]
[tex]\\ \sf\longmapsto 5(2.4)^2-11(2.4)+18[/tex]
[tex]\\ \sf\longmapsto 5(5.76)-26.4+18[/tex]
[tex]\\ \sf\longmapsto 28.8-26.4+18[/tex]
[tex]\\ \sf\longmapsto 2.4+18[/tex]
[tex]\\ \sf\longmapsto 20.4[/tex]
And
[tex]\\ \sf\longmapsto f(-3)[/tex]
[tex]\\ \sf\longmapsto 5(-3)^2-11(-3)+18[/tex]
[tex]\\ \sf\longmapsto 5(9)+33+18[/tex]
[tex]\\ \sf\longmapsto 45+51[/tex]
[tex]\\ \sf\longmapsto 96[/tex]
The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The quadratic expression is given below.
⇒ 5x² - 11x + 18
The value of the expression at x = 2.4, then the value of the expression will be
⇒ 5(2.4)² - 11(2.4) + 18
⇒ 28.8 - 26.4 + 18
⇒ 20.4
The value of the expression at x = -3, then the value of the expression will be
⇒ 5(-3)² - 11(-3) + 18
⇒ 45 + 33 + 18
⇒ 96
The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.
More about the value of expression link is given below.
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Last year, the girl's basketball team had 20 ninth-grade students and 10 sixth-grade students. what was the ratio of sixth-grade students to total students on the team
Simplify.
What is the answer?
Answer:
81[tex]y^{8}[/tex][tex]z^{4}[/tex]
Step-by-step explanation:
Harry and Olivia are planning to buy a bedroom furniture set that costs $4,100 plus 6% taxes. They would like to apply for a 0% APR store credit card on purchases for 10 months. How much money do they need to pay in equal installments monthly for the next 10 months such that they will be able to pay off the bedroom furniture set before the 0% APR offer expires?
Answer:
434.60
Step-by-step explanation:
Prove the following
Answer:
Step-by-step explanation:
Sin² x - Cos² x = (1 - Cos² x ) - Cos² x {Sin² x + Cos² x = 1}
= 1 - 2Cos² x
= - (2Cos x -1)
[tex]= -(\dfrac{2}{Sec^{2} x} - 1)\\\\=-(\dfrac{ 2}{Sec^{2} \ x}-\dfrac{Sec^{2} \ x}{Sec^{2} \ x})\\\\=-(\dfrac{2-Sec^{2} \ x}{Sec^{2} \ x})\\\\=\dfrac{2-Sec^{2} \ x }{-Sec^{2} \ x}[/tex]
Hence proved
Interval notation of x<2
interval notation of x<2
x=1
Question
What is the measure of JKL?
A. 186°
B. 174
C. 87
D. 267
Answer: 174
Step-by-step explanation:
Ichiro's batting average in baseball is 0.342. This is
0.08 higher than Giancarlo's batting average. What is
Giancarlo's batting average?
(a+b+c)^2 - a^2+b^2..................
Answer:
[tex]2b^2 + c^2 + 2ab + 2ac + 2bc[/tex]
Step-by-step explanation:
Whenever you have a parentheses to a power of a number you have to make it the parentheses times itself, so (a+b+c)^2 becomes (a+b+c)(a+b+c), where you then multiply a by a, a by b, a by c, b by a, b by b, b by c, and so on and then add all those numbers up. If you do that you would get a^2 + ab + ac + ab + b^2 + bc + ac + bc + c^2, where you then add them up to get a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. Since you have - a^2 after this, you cancel out the a^2, and finally, you have + b^2 so you add b^2 to it and you get a final answer of 2b^2 + c^2 + 2ab + 2ac + 2bc.
Find the mean, median, and mode of 14, 15, 3, 15, 14, 14, 18, 15, 8, 16.
Answer:
mean: 13.2 (average)
median: 14.5 (Center)
mode: 14 and 15 (because data is bimodal so there are two modes
Step-by-step explanation:
Answer:
mean = 13.2, median = 15.5, mode = 18
Step-by-step explanation:
mean = 14+15+3+15+14+14+18+15+8+16/10
= 132/10 = 13.2
median =[ (n/2)th term + (n/2+1)term ]/2
here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order
= [10/2 + (10/2+1)]/2
= [5th term + 6th term]/2
= (15+16)/2
= 31/2 = 15.5
mode = 18