Answer:
2x² - 16x + 30Step-by-step explanation:
p(x) = 2x² - 4x
g(x) = x - 3
To find (pog)(x) replace every x in p(x) by g(x)
That's
(pog)(x) = 2(x - 3)² - 4(x - 3)
= 2( x² - 6x + 9) - 4x + 12
= 2x² - 12x + 18 - 4x + 12
= 2x² - 16x + 30Hope this helps you
In the following figure name the exterior and remote interior angles.
PLEASE HELP!!!
Answer:
The exterior angle is angle 4. The remote interior angles are 1 and 2.
Step-by-step explanation:
An exterior angle is an angle that is between a side of the shape and a line extended from the side next to it.
Remote interior angles in a triangle are the two angles that are not a linear pair with the exterior angle. (A linear pair is a pair of angles that add up to 180 degrees and form a line.) Essentially, the they are the two angles not next to the exterior angle. As a side note, if you add up the measures of the remote interior angles, the sum will be equal to the measure of the exterior angle.
If any of this is confusing, feel free to ask for clarification. I hope this helps! ☺
What is x if
f(x) = -2?
Answer:
x ∈ ℝ
Step-by-step explanation:
Since this is a constant function, this domain is the set of all real numbers.
Hope this helped! :)
Answer:
x = -2
Step-by-step explanation:
f(4) =
If g(x) = 2, x =
Sososos
Step-by-step explanation:
A class has 16 boys and 24 girls.Of the 16 boys ,3 are left handed.Of the 24 girls, 2 are left handed.If a student is chosen at random to clean the whiteboard ,find the probability that the student is left handed.What is the answer:1/8 1/9
Answer:
1/8
Step-by-step explanation:
you add 16 and 24 which is 40
there are 5 ppl who are left handed
which is 5/40 which is simplify to 1/8
hope this helps
Answer: go on quizlet but my guess is 2/3
Step-by-step explanation: i guessed tbh
Ms. Stone decided to purchase 2 reusable bottles instead. When she got to the counter, she realized she had $10.15, only ⅝ of the money she needed for the purchase. How much does 1 bottle cost?
Answer:
One reusable bottle cost $8.12
Step-by-step explanation:
Let
x=total cost of the two reusable bottles
Ms stone has 5/8 if the total cost of the two reusable bottles
5/8 of x=$10.15
5/8*x=10.15
x=10.15÷5/8
=10.15×8/5
=81.2/5
=16.24
x=$16.24
The total cost of of the two reusable bottles=$16.24
If total cost of two reusable bottles=$16.24
Cost of one reusable bottle=$16.24/2
=$8.12
One reusable bottle cost $8.12
At which root does the graph of f(x) = (x + 4) 6(x + 7)5 cross the x-axis?
-7
4
4
07
Answer:
-7 and -4
Step-by-step explanation:
The graph of the function f(x) = (x + 4)⁶ (x + 7)⁵ cross the X axis at x = -4 and x = -7.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given is a function,
f(x) = (x + 4)⁶ (x + 7)⁵
When the function cross the X axis, the value of the function will be 0.
Let f(x) = 0
(x + 4)⁶ (x + 7)⁵ = 0
This implies that, either x + 4 = 0 or x + 7 = 0
x + 4 = 0 ⇒ x = -4
x + 7 = 0 ⇒ x = -7
Hence the roots are -4 and -7 where the function crosses the X axis.
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Solve for x 5x−1=6x−9
Hey there! :)
Answer:
x = 8.
Step-by-step explanation:
Starting with:
5x - 1 = 6x - 9
Subtract 5x from both sides:
5x - 5x - 1 = 6x - 5x - 9
-1 = x - 9
Add 9 to both sides:
-1 + 9 = x - 9 + 9
8 = x.
Answer:
x=8
Step-by-step explanation:
We can start by subtracting 5x from both sides
That leaves us with -1=x-9
Then we can add 9 to both sides to cancel out the -9
x=8
In circle C. r = 32 units.
What is the area of circle C?
A
32īt units?
c
641 units?
256TI units
1024Tt units?
Answer:
1024 pi
Step-by-step explanation:
r = 32 units.
Area = pi * r^2
Area = 3.14 * 32^2
Area = 1024 * pi
Tt = pi??
Brielle and Joshua are running a half marathon race, which is
13.1 miles long. It takes Brielle 10 minutes to run 1.25 miles
and Joshua 18 minutes to run 1.5 miles. If they run at the
same speed for the entire shift, who will run the marathon
faster? How many minutes will it take each of them to run the
race?
Answer and Explanation:
Brielle will run the marathon faster.
Work:
Brielle: 13.1/1.25=10.48*10=104.8 minutes
Joshua: 13.1/1.5=8.73...*18=157.2 minutes
Brielle finished in 104.8 minutes.
Joshua finished in 157.2 minutes.
Brielle finished the half marathon race by 52.5 minutes faster than Joshua.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Brielle will run the marathon faster. Brielle will take 104.8 minutes to finish the race and Joshua will take 157.2 minutes to finish the race.
What is division?The division is simply dividing a number by another number.
Given in the question the marathon race is of 13.1 miles long.
Brielle takes 10 minutes to cover 1.25 miles.
So to cover 1 mile he will take = 10/1.25= 8 minutes
So to finish the marathon race i.e. to cover 13.1 miles he will take the time= 8*13.1= 104.8 minutes.
Joshua takes 18 minutes to cover 1.5 miles.
So to cover 1 mile he will take = 18/1.5= 12 minutes
So to finish the marathon race i.e. to cover 13.1 miles he will take the time= 12*13.1= 157.2 minutes.
So from above, it is clear that Joshua is taking more time than Brielle to finish the race.
Brielle will run the marathon faster as he takes less time to finish.
Therefore Brielle will run the marathon faster. Brielle will take 104.8 minutes to finish the race and Joshua will take 157.2 minutes to finish the race.
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Classify the polynomial by its degree and the number of terms
Question: 4ab+9a
PLEASE HELP!!!
Answer:
The polynomial "4ab+9a" is a quadratic binomial
Step-by-step explanation:
It is quadratic because the degree of the term is 2. it is a binomial because it has 2 terms
Chloe discovers that her rectangular shed is 6 feet longer than three times the width. If the perimeter of the shed is 100 feet, find the dimensions. (Recall: the perimeter of a rectangle is given by the formula P = 2 L + 2 W .)
Answer:
11 feet by 39 feet.
Step-by-step explanation:
In this case, the perimeter, P, is 100 ft.
If the length of the shed is 6 feet longer than three times the width, that means that the length, L, is equivalent to 6 plus 3 times the width, W.
So, we have an equation: P = 2 * L + 2 * W.
100 = 2 * (6 + 3W) + 2 * W
100 = 12 + 6W + 2W
100 = 12 + 8W
8W + 12 = 100
8W = 88
W = 11
And so, we know that the width is 11 feet.
To solve for the length...
L = 6 + 3W
L = 6 + 3 * 11
L = 6 + 33
L = 39
So, the length is 39 feet.
Now, you have the dimensions of the shed: 11 feet by 39 feet.
Hope this helps!
The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?
Answer:
Maximum = 756
Minimum = 600
Step-by-step explanation:
A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.
And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:
(1 + 3 + 5 + 8 + 10) × (2 + 4 + 6 + 7 + 9) = 756
At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:
(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600
A physical count of supplies on hand at the end of may for Masters, inc. Indicated $1,253 of supplies on hand. The general leger balance before any adjusting is $2,130. What is the adjusting entry for office supplies that should be recorded on may 31?
Answer: Debit Supplies Expense $877 and credit Supplies $877
Step-by-step explanation:
From the question, we are informed that a physical count of supplies on hand at the end of may for Masters, inc. showed $1,253 of supplies on hand while the general leger balance before any adjusting is $2,130.
The adjusting entry for office supplies that should be recorded on may 31 will be the difference in the physical count and general ledger balance which is ($2130 - $1253) = $877. We then have to debit Supplies expense $877 and then credit supplies $877
It's URGENT PLEASE HELP!!! what is 5x-2=6 x=??
Answer:
x = 1.6x = 8/5x = 1 3/5Step-by-step explanation:
5x - 2= 6
Question = 5x - 2= 6
1. Isolate the variable
5x - 2= 6
+ 2 + 2
2. Simplify the like terms
6 + 2
= 8
3. Simplify the answer
Simplify by dividing both sides by 5
5x = 8
/5 /5
x = 8/5 or 1.6
The answers are:
x = 1.6
x = 8/5
x = 1 3/5
Hope this helped,
Kavitha
If f = (1,2) , (3,4) , (5,6) and g = (2,3) , (4,6) , (6,8) . Find the composite of gof. does fog exist?
Answer:
[tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].
[tex]f\circ g[/tex] does not exist.
Step-by-step explanation:
It is given that,
[tex]f=\{(1,2),(3,4),(5,6)\}[/tex]
[tex]g=\{(2,3),(4,6),(6,8)\}[/tex]
We need to find the composition gof.
[tex](g\circ f)(x)=g(f(x))[/tex]
Now,
[tex](g\circ f)(1)=g(f(1))=g(2)=3[/tex]
[tex](g\circ f)(3)=g(f(3))=g(4)=6[/tex]
[tex](g\circ f)(5)=g(f(5))=g(6)=8[/tex]
So, [tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].
We need to check whether [tex]f\circ g[/tex] exist of not.
If range of g(x) is subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] exists.
Now,
Range of g(x) = {3,6,8}
Domain of f(x) = {1,3,5}
Since range of g(x) is not a subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] does not exist.
O aquário de Noé é um paralelepípedo retangular com dimensões 50 cm x 25 cm x 40 cm. Ele quer encher o aquário com água da torneira, mas a localização da torneira obriga-o a inclinar o aquário de um ângulo de 45°. A água flui a borda do aquário.Calcule a altura máxima da água no aquário e marque a opção correta abaixo. A) 28,5 B) 27,5 C) 26,5 D) 25,5 E) 24,5
Answer:
si
Step-by-step explanation:
which of the following shows the polynomial below written in descending order?
Answer:
A
Step-by-step explanation:
Descending order is where the monomials of a polynomial are arranged in decreasing exponent order so the answer is A.
Answer:
the answer is option a because all the expression in option a is written descending power form.
Salt is falling on a Conical pile of 6 cubic meters per minute. The diameter of the cone is twice the height, what is the rate the height is changing when the pile is 9 meters tall.
Answer:
0.0236 m per minute,
Step-by-step explanation:
Volume of the cone V = 1/3 π r^2 h.
Diameter = 2r = 2h so r = h
and V = 1/3 π h^3
So the rate of change of volume with height =
dV / dh = π h^2.
We are given that dV/dt = 6.
So the rate of change of height: dh/dt = dV/dt * dh/dV
= 6 * 1/ π h^2
When h = 9
dh/dt = 6 / 81π m per minute
= 0.0236 m per minute,
which shape is a parallelogram?
Answer:
A,C,and D are parralelograms
The parallelogram are shapes with figures having opposite sides which are parallel
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , from the figure 1
a)
The figure is having opposite sides are parallel
where AB = CD
And , BC = AD
So , it is a parallelogram
b)
The figure does not have any sides parallel
So , it is not a parallelogram
c)
The shape is having 2 sides as parallel
And , AB = CD
So , it is a parallelogram
d)
The shape is having 2 sides as parallel
And , AB = CD
So , it is a parallelogram
Hence , the parallelogram is solved
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the initial velocity of a micro van is 15m /s square. it gains a velocity of 40/second in 10 second . calculate the average velocity and acceleration of the van?
Answer:
Please check the answer whether it is correct or not
Matt invested $1500 into a stock of his choice. After two years, he had received
$400 in dividends. He sold the stock and received a total of $1600. What is Matt's
rate of return on investment?
For this question, the time given confuses me. I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note: In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.
hope this helped you ;)
Matt probably would have got about a 5% return on a good stock.
How to find the rate of return?The rate of return is just the total return divided by investment.
Consider that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500.
Now, if Matt's dividends were reinvested into the stock then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500.
In the real, current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.
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Point L is located at (4, -3) and M is located at (-8, 5). Find the y value of the point that lies halfway between L and M.
Answer:
y = 1
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (- 8, 5), thus the y value of midpoint is
y = [tex]\frac{1}{2}[/tex] (- 3 + 5) = 0.5 × 2 = 1
what is the next term for this sequence: 5,7,3,9,1,11,?
Answer:
-1
Step-by-step explanation:
each time it moves by the next even number. (Difference between 5 and 7 is 2, difference between 7 and 3 is 4, difference between 3 and 9 is 6, etc.)
A cable TV company charges a flat fee of $25 for basic cable service, plus
extra for each movie a customer watches. Here is some of the pricing
information:
Movies watched 0 1 2 3
Cable TV bill ($) 25 29 33 37
According to this information, how many movies can a customer watch and
still keep his or her bill under $60?
Answer:
8
Step-by-step explanation:
Each movie costs $4 since the bill increased by $4 when the customer watched a movie.
$29 - $25 = $4
Create an equality using this information. Solve for x.
25 + 4x > 60
(25 + 4x) - 25 > (60) - 25
4x > 35
(4x)/4 > (35)/4
x > 8.75
Since the bill must stay under $60, round the answer down. The customer can watch 8 movies with the given price range.
What is the ratio of the Volume of the smaller pyramid to the larger pyramid
The area between z = 0.41 and z = 1.93 is
Answer:
Step-by-step explanation:
0.026803
Find an equation that fits this graph:
Answer:
y = -2/3x + 4
Step-by-step explanation:
Use formula for slope given two points.
m = (y2 - y1)/(x2 - x1)
The two points are (0, 4) and (6, 0)
m = (0 - 4)/(6 - 0)
m = -4/6
m = -2/3
y = -2/3x + b
The y-intercept b is 4.
• How can you tell that a point on the graph is a maximum, a minimum, or neither?
Answer:
If it is on the maximum, then the y-value of the point cannot be any higher and still be on the graph of the function. If it is on the minimum, the the y-value of the point cannot be any lower and still be on the graph of the function. If it isn't either the maximum or the minimum, it is neither.
Which of the following functions is graphed below?
8
84
4.
24
-8
2
4
8
8
12
-2
4
-6+
-87
Answer:
Step-by-step explanation:-
-
-8239910.76
Brent Pokott borrowed $4000 from his brother Dave. He agreed to repay the money at the end of 3 years, giving Dave the same amount of interest that he would have received if the money had
been invested at 1.25% compounded quarterly. How much money did Brent repay his brother?
(Round to the nearest cont as needed)
Answer: Brent repay $4152.61 to his brother.
Step-by-step explanation:
Formula to calculate compound amount : [tex]A =P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= principal amount
r= rate of interest (in decimal)
t= time
As per given, we have
P= $4000
t= 3 years
r= 1.25% = 0.0125 [we divide a percentage by 100 to write in simple form]
Now, substitute these values in the formula
[tex]A=4000(1+\dfrac{0.0125}{4})^{4\times3}\\\\=4000(1.003125)^{12}\\\\=4000\times1.03815129256\\\\\approx4152.61 \ \ [\text{To the nearest cent.}][/tex]
Hence, Brent repay $4152.61 to his brother.