Answer:
For no values of x.
Step-by-step explanation:
A function is increasing when its graph is sloping upwards.
Conversely, a function is decreasing when its graph is sloping downwards.
From the given graph, we can see that it is sloping downwards at all x values. In other words, it is always decreasing and never increases.
Therefore, for no values of x is the graph increasing.
Which expression is equivalent to
[tex]2 \sqrt[3]{ {x}^{2} } - \sqrt{16x} [/tex]
if x > 0?
[tex]2\sqrt[3]{x^2}\cdot \sqrt{16x}\\\\=2\sqrt[3]{x^2} \cdot 4\sqrt x\\\\=8x^{\tfrac 23} \cdot x^{\tfrac 12}\\\\=8\cdot x^{\tfrac 23 + \tfrac 12}\\\\=8\cdot x^{\tfrac 76}\\\\=8\sqrt[6]{x^7}\\\\=8\sqrt[6]{x^6 \cdot x}\\\\=8x\sqrt[6]{x}[/tex]
[tex]\text{Hence the answer is A}[/tex]
Answer:
[tex] \sf \: Option \: A \: \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}[/tex]
Step-by-step explanation:
[tex] \sf \: if \: x > 0 \\ \sf \: 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 2 \sqrt[3]{ {x}^{2} } \cdot \: 4 \sqrt{x} \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{2}{3} } \cdot \: {x}^{ \frac{1}{2} } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} =8 {x}^{ \frac{2}{3} + \frac{1}{2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{4 + 3}{3 \times 2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{7}{6} } \\ \sf 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{7} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{6} + x } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}[/tex]
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John put away 36 of 48 shirts in his closet. Don has 84 shirts. If he put away the same percent, how many shirts did Don put in his closet?
Answer:
63
Step-by-step explanation:
John's percentage:
36 and 48 have a common factor of 12 so divide both of them by 12.
36/12= 3 and 48/12=4 therefore
so 36/48= 3/4 which is 75% but we don't need to focus on the percent.
Don's no. of shirts:
we know Don has 84 shirts so we say
3/4 of 84= no. of shirts that Don put in his closet
84/4=21 21x3=63
Don put 63 shirts in his closet.
Hope that helped! Anymore questions just ask! :)
10 POINTS!!!
Please help no links or ill report!!
Answer:
Step-by-step explanation:
Francesca wants to buy a package of balloons. She has $35.42 and each package costs $8.36. About how many packages of balloons can Francesca buy? (Round to the nearest dollar.)
Answer:
Francesca can buy 4 packages of balloons for $34.
Step-by-step explanation:
35.42 x 100 = 3542 ÷2 = 1771
8.36 x 100 = 836 ÷2 = 418
1771 ÷ 418 = 4.236842105263158 (We will round it to 4.23)
If we round it to 5, it will exceed Francesca's budget, so we will make 4.23 4.
4 x 8.36 = $33.44
We cannot cut the 44 cents so we will round it to $34.
Hope this helped!
PLS HELP! Select all the correct locations on the image. Select functions f and g such that the ratio of function f to function g is equal to function h.
The functions f(x), g(x) and h(x) are related as a result of composite functions
The values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2
How to determine the functions f(x) and g(x)?From the question, we have the following equation
h(x) = f(x)/g(x)
This gives
f(x) = g(x) * h(x)
The function h(x) is given as:
h(x) = x - 4
So, we have:
f(x) = g(x) * (x - 4)
The function g(x) cannot be x³ - 3x² - 6x + 8 because the leading coefficients of function f(x) are 3 and 2
Next, we assume that:
g(x) = x² - x - 2
So, we have:
f(x) = (x² - x - 2) * (x - 4)
Expand
f(x) = (x³ - x² - 2x - 4x² + 4x + 8)
Evaluate like terms
f(x) = x³ - 5x² + 2x + 8
The above function exists in the given table.
Hence, the values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2
Read more about composite functions at:
https://brainly.com/question/10687170
Surface area- Rectangle
Please help ASAP
Answer:
The surface area of the rectangle is 2670
- -7=12 what is this one i need help
Answer:
False
Step-by-step explanation:
I am assuming this is the answer you are looking for and if not I am sorry. The sides of this equation are not currently equal. (-7=12) So the statement of the equation is false.
Which equation has a graph that lies entirely above the x-axis?
y = –(x + 7)2 + 7
y = (x – 7)2 – 7
y = (x – 7)2 + 7
y = (x – 7)2
Answer:
[tex]y = (x - 7)^{2} + 7[/tex].
Step-by-step explanation:
Let [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex] be constants, and let [tex]a \ne 0[/tex]. The equation [tex]y = a\, (x - h)^{2} + k[/tex] represents a parabola in a plane with vertex at [tex](h,\, k)[/tex].
For example, for [tex]y = -(x + 7)^{2} + 7 = -(x - (-7))^{2} + 7[/tex], [tex]a = (-1)[/tex], [tex]h = (-7)[/tex], and [tex]k = 7[/tex].
A parabola is entirely above the [tex]x[/tex]-axis only if this parabola opens upwards, with the vertex [tex](h,\, k)[/tex] above the [tex]x\![/tex]-axis.
The parabola opens upwards if and only if the leading coefficient is positive: [tex]a > 0[/tex].
For the vertex [tex](h,\, k)[/tex] to be above the [tex]x[/tex]-axis, the [tex]y[/tex]-coordinate of that point, [tex]k[/tex], must be strictly positive. Thus, [tex]k > 0[/tex].
Among the choices:
[tex]y = -(x + 7)^{2} + 7[/tex] does not meet the requirements. Since [tex]a = (-1)[/tex], this parabola would open downwards, not upwards as required.[tex]y = (x - 7)^{2} - 7[/tex] does not meet the requirements. Since [tex]k = (-7)[/tex] and is negative, the vertex of this parabola would be below the [tex]x[/tex]-axis.[tex]y = (x - 7)^{2} + 7[/tex] meet both requirements: [tex]a = 1[/tex] and [tex]k = 7[/tex].[tex]y = (x - 7)^{2}[/tex] (for which [tex]k = 0[/tex]) would touch the [tex]x[/tex]-axis at its vertex.Answer:
its c
Step-by-step explanation:
Which table shows a function that is decreasing over the interval (−2, 0)? A 2-column table with 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 0, negative 5, 0, 5. A 2-column table with 4 rows. The first column is labeled x with entries negative 2, 0, 2, 4. The second column is labeled f of x with entries negative 15, negative 5, negative 20, negative 30 A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24. table shows a function that is decreasing over the interval (−2, 0)? A 2-column table with 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 0, negative 5, 0, 5. A 2-column table with 4 rows. The first column is labeled x with entries negative 2, 0, 2, 4. The second column is labeled f of x with entries negative 15, negative 5, negative 20, negative 30 A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.
Answer: A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.
Step-by-step explanation:
The table shown in the attachment has the function that is decreasing in the interval of interest."Decreasing" means that for increasing x-values, each f(x) value is less than the one before.
PLEASE HELP ME!!!! IM STUCK
Answer:
B .565
Step-by-step explanation:
10 + 13 =
23
13/23 = .565
can someone please help my solve for x?
x= 41
Break the shape into two triangles
Use Pythagoras theorem to solve for the hypotenuse of the first triangle (the triangle with sides 32 and 24). You should have 40
Get to the second triangle. Use Pythagoras theorem to solve for the hypotenuse which, in this case, is x. Note that the sides of the second triangle are 40 (the hypotenuse of the last triangle. Look closely. ) and 9
PLEASE HELP I'M SO CLOSE TO BEING DONE
Answer:
see explanation
Step-by-step explanation:
the perimeter (P) is the sum of the 3 sides of the triangle.
P = 4x² + 1 + 26x + 6 + x² + 10x ← collect like terms
= 5x² + 36x + 7
to factor the expression, consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × 7 = 35 and sum = 36
the factors are + 35 and + 1
use these factors to split the x- term
5x² + 35x + 1x + 7 ( factor the first/second and third/fourth terms )
= 5x(x + 7) + 1 (x + 7) ← factor out (x + 7) from each term
= (x + 7)(5x + 1) , then
P = (x + 7)(5x + 1) ← in factored form
Tina buys tickets to an amusement park. Adult tickets cost $18.50 each and children tickets cost $12.25 each. Tina has $280 to purchase both adult and children's tickets. If she purchases 6 children's tickets, determine algebraically the maximum number of adult tickets that Tina can purchase.
Answer: 11 adult tickets
Step-by-step explanation:
First, we will write an equation. Let x be adult tickets and y be children tickets.
$280 ≥ 18.5x + 12.25y
Now I will graph it!
-> See attached
If she bought 6 children's tickets, we can look to the y value of 6 (children's tickets) to find our maximum value of x (adult tickets).
This means she can buy a maximum of 11 tickets because we will assume she cannot buy part of a ticket.
She can buy 11 adult tickets.
Which correctly applies the distributive property to show an equivalent expression to (8.6)(–2.5)?
(8)(2) – (0.6)(0.5)
(8)(–2) – (0.6)(–0.5)
(8.6)(2) – (8.6)(0.5)
(8.6)(–2) + (8.6)(–0.5
Answer:
(8.6)(-2)+(8.6)(-0.5)
Step-by-step explanation
Since -2+-0.5= -2.5, we need to use a plus sign. Also, since we multiply both by 8.6, that is the answer.
Hello! Pls help me! I dont get this!
Jaleel did the sides by eachother.
Since it's 3d, it also wants them/us to count the sides that are not shown. He did one side by the length and then another by the height, then doubled it. Finally he added it all together
Find the area! (Don’t need to explain)
Area of vertical rectangle:-
13(5)65mm²Area of horizontal rectangle:-
13(2)26mm²Area of triangle:-
1/2(13-10)(5)1/2(3)(5)15/27.5mm²Total area:-
7.5+26+6598.5mm²what is f(x)=x²-16 in factored form
Answer:
f(x) = (x + 4)(x - 4)
Step-by-step explanation:
f(x) = x² - 16
This is the difference of two squares.
f(x) = (x + 4)(x - 4)
round to the nears hundrend .7,666
Answer:
.767
Step-by-step explanation:
0. ones, tens, hundreds, thousands
1. Which equation represents the line that passes through the points (4, 8) and (2, -6)?
Answer:
D : y = 7x - 20
Step-by-step explanation:
let D be the line that passes through the points (4, 8) and (2, -6)
Then D has an equation of the form D: y = ax + b
Now we need to find a and b in order to be able to write the equation of the line D:
[tex]a = \frac{8-(-6)}{4-2}=\frac{14}{2}=7[/tex]
Since the point (4, 8) lies on the line D then :
8 = 7 × (4) + b
then
8 = 28 + b
then
b = 8 - 28
= -20
Conclusion:
Since a = 7 and b = -20 then
D : y = 7x - 20
When Joseph first starts working at a grocery store, his hourly rate is $10dollar sign, 10. For each year he works at the grocery store, his hourly rate increases by $0.50dollar sign, 0, point, 50.
Joseph's hourly rate R, in dollars, is a function of t, the number of years he works at the grocery store.
Write the function's formula.
Answer:
R(t)=10+0.50t
Step-by-step explanation:
Let t be the number of years.
We have been given that When Joseph first starts working at a grocery store, his hourly rate is $10.
For each year he works at the grocery store, his hourly rate increases by $0.50.
So the hourly rates after t years will be 10 plus 0.50t.We can represent this information in an equation as: R(t)=10+0.50t
Therefore, the function R(t)=10+0.50t represents Joseph's hourly rates after t years.
(Hope this helps pls can I have brainlist have a great day )
2/3(x-6)=6 solve for x
Answer:
18
Step-by-step explanation:
2/3 = 66%
66% of 18 =
12-6=
6
The two figures have a ratio of similarity of 3:4. If the area of the larger is 100 square units, what is the area of the smaller?
Answer:
75 square units
Step-by-step explanation:
set up a proportion first.
[tex] \frac{3}{4} = \frac{x}{100} [/tex]
(x is on top because it asks for the smaller area, so it is on the same side of the 3)
after, cross multiply to find x
4x = 300
divide by 4
x= 75
A professor grades students on three tests, four quizzes, and a final examination. Each test counts as two quizzes and
the final examination counts as two tests. Sara has test scores of 65, 62, and 60. Sara's quiz scores are 61, 96, 80, and
89. Her final examination score is 65. Use the weighted mean formula to find Mara's average for the course. (Round
your answer to one decimal place. )
Using the weighed mean formula, it is found that Mara's average for the course was of 68.6.
What is the weighed mean?The weighed mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
In this problem, the weights are as follows:
A quiz has a weight of 1.A test has a weight of 2.The final examination has a weight of 4.Hence, her weighed mean is given as follows:
[tex]M = \frac{2(65 + 62 + 60) + (61 + 96 + 80 + 89) + 4(65)}{6 + 4 + 4} = 68.6[/tex]
Mara's average for the course was of 68.6.
More can be learned about the weighed mean formula at https://brainly.com/question/24398353
you have $11.35 to buy treats for yourself and a friend. You buy 3 packs of marshmallow chicks for $1.45 each. Then u buy 2 cupcakes for $2.29 each. Which two items below could you afford to buy with your change? bunny $1.88, egg $1.05 ,jelly beans $1.37
Answer:
Egg and Jelly Bans
Step-by-step explanation:
*Using a calculator or otherwise*
1.45 x 3 = $4.35 1.05(eggs)+1.37(beans)= $2.42
+
2.29 x 2 =$4.58
= $8.93
11.35-8.93= $2.42
what comes first i genuinely forgot, like is (2,3) on a graph (x,y) or is it (y,x)
Answer:
(x,y)
Step-by-step explanation:
x comes first always
(x,y)
so 2 would be the x value and 3 would be the y value
When a business seeks a certain profit, it uses a factor to adjust its price. The factor is called a ____.
A.credit discount
B.Inventory adjustment
C. markup
D.quantity discount
Answer:
a
Step-by-step explanation: bc i just did it
sarah uses 2/3 of her supply of cheese to make pizza and 1/9 of her supply of cheese to make lasagna. If Sarah uses 2 1/3 pounds of cheese, how many pounds of cheese were in her supply?
Answer: 0.05 cup
Step-by-step explanation:
Divide 2.5 by 10 to find how much is in one of Sarah’s dishes.
This gives you 0.25
Divide 1.6 by 8 to find how much is in one of Amy's dishes.
This gives you 0.2
Now minus 0.2 from 0.25.
This gives you a 0.05 cup
hope this helps
The polynomial −2x3 − x2 13x in the last line is the result of dividing x2 3x 1 by 3x2 and bringing down 13x. subtracting 3x4 9x3 3x2 from the dividend and bringing down 13x . multiplying 3x2 by x2 3x 1.
Subtracting 3x^4+9x^3x^2 from the dividend and bringing down by 13x, the quotient is 3x^2-2x+5, and the term 3x^2 in the quotient is the result of dividing 3x^4 by x²
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have a polynomial:
[tex]=\rm -2x^3-x^2+13x[/tex]
The dividend polynomial:
[tex]\rm = 3x^4+7x^3+2x^2+13x+5[/tex]
If we subtract the polynomial [tex]\rm 3x^4+9x^3+3x^2[/tex] from the dividend polynomial, we will get:
[tex]\rm = (3x^4+7x^3+2x^2+13x+5)-(3x^4+9x^3+3x^2)[/tex]
[tex]\rm = -2x^3-x^2+13x+5[/tex]
After bringing down 13x, we will get the polynomial:
[tex]=\rm -2x^3-x^2+13x[/tex]
If complete the division of the polynomial, we will get:
[tex]\rm = \frac{(3x^4+7x^3+2x^2+13x+5)}{x^2+3x+1}[/tex]
= [tex]=\rm 3x^2-2x+5[/tex]
Thus, the subtracting 3x^4+9x^3x^2 from the dividend and bringing down by 13x, the quotient is 3x^2-2x+5, and the term 3x^2 in the quotient is the result of dividing 3x^4 by x²
Learn more about Polynomial here:
brainly.com/question/17822016
triangle that is reflected, rotated, then translated will result with the pre-image and the image being two congruent triangles? true or false
Yes the pre image and image are congruent inspite of reflection, rotation or translation
This happens because they are rotated or translated according to a constant factor called scale factor
k=y/xFind the slope of the line passing through (2, 10) and (8, 7)
Slope= -1/2
Solution:The slope formula will help us find the slope.This is the formula:[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{7-10}{8-2} =\frac{-3}{6} =-\frac{1}{2}[/tex]Hope it helps.
Do comment if you have any query.
Slope:-
m=7-10/8-2m=-3/6m=-1/2