Answer:
A. B. C. D.
Step-by-step explanation:
because Which statement describes the end behavior of the function f(x)= |x-7| -7?
A. As x approaches negative infinity, f(x) approaches negative infinity.
B. As x approaches negative infinity, f(x) approaches positive infinity.
C. As x approaches positive infinity, f(x) is no longer continuous.
D. As x approaches positive infinity, f(x) approaches negative infinity.
the perimeter of a rectangle is 70 cm . if the ratio of the width to the length is 2:5 what is the width ?
Answer:
width = 10 cm
Step-by-step explanation:
the ratio of width to length is 2 : 5 = 2x : 5x ( x is a multiplier )
the perimeter (P) of a rectangle is calculated as
P = 2 × width + 2 × length
given P = 70 then
2(2x) + 2(5x) = 70
4x + 10x = 70
14x = 70 ( divide both sides by 14 )
x = 5
Then
width = 2x = 2 × 5 = 10 cm and length = 5x = 5 × 5 = 25 cm
What is the equation of the parabola? (3 points)
A) y = -1/8x^2 +5
B) y = 1/8x^2 +5
C) y = 1/8x^2 - 5
D) y = -1/8x^2 -5
Answer:
A.
Step-by-step explanation:
The parabola opens down, so the "a" value (the number in front of x^2) must be negative. The y-intercept is (0, 5) so the constant must be positive 5.
Find the volume of a cylinder that has a diameter of 7 and a height of 8.
28 Pi
392 Pi
448 Pi
98 Pi
Therefore,
Radius (r) = d / 2Radius (r) = 7/2We know that :
V = πr^2hSubstituting the values :
>> V = π × (7 / 2)^2 × 8
>> V = π × (49 / 4) × 8
>> V = π × 49 × 2
>> V = 98π
Henceforth,
98 pi is the answer.We know , the volume of a cylinder is given by the formula – πr²h, where r is the radius of the cylinder and h is the height.
Diameter - 7Height - 8radius = 7/2Therefore, putting the values, we get,
[tex] \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: {r}^{2}h[/tex]
[tex] \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \times \: \bigg(\frac{7}{2} \bigg)^{2} \: \times \: 8 \\ [/tex]
[tex] \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: \times \: \frac{7}{2} \: \times \: \frac{7}{2} \: \times \: 8 \\ [/tex]
[tex] \Large \mathcal \purple {Volume } \large\red\implies \tt \large \:\pi \: \times \: \frac{7}{2} \: \times \: \frac{7}{ \cancel2} \: \times \: \cancel{8} \: ^{ \orange4} \\ [/tex]
[tex]\Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: \times \: \frac{7}{ \cancel2} \: \times \: {7} \: \times \: \cancel4 \: ^{ \orange2} \\ [/tex]
[tex] \\ \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: \times \: 7 \: \times \: 7 \: \times \: 2[/tex]
[tex]\Large \mathcal \purple {Volume }\ \large\red\implies \tt \large \:\pi \: \times \: 49 \: \times \: 2[/tex]
[tex]\Large \mathcal \purple {Volume }\large\red\implies \tt \large \:98 \:\pi[/tex]
Hence , the volume of cylinder is 98 pi
NEED HELP ASAP !!!
Simplify: √16r
O 47²
O 473
87²
O 8-3
Answer:
4 r^3
Step-by-step explanation:
sqrt ( 16 r^6 ) = sqrt ( 4^2 * (r^3)^2 ) = 4 r^3
What’s the vertex of this graph??
Answer:
(4, -3)
Step-by-step explanation:
A vertex is just a point at which 2 lines going in different directions meet, hence (4, -3)
a. The Gap purchased inventories totaling $10,392 million for the fiscal year ended February 2, 2019. Use the financial statement effects template to record cost of goods sold for The Gap's fiscal year ended February 2, 2019. (Assume accounts payable is used only for recording purchases of inventories and all inventories are purchased on credit.)
b. What amount did the company pay to suppliers during the year? Record this with the financial statement effects template.
I'm not sure how to show these amounts on the financial statement effects template.
The cost of goods sold is $10,258 million and the Cash paid to supplier is $10,447 million.
Cost of goods solda. Cost of goods sold
Cost of Goods Sold=Beginning Inventories + Purchases – Ending Inventories
Cost of goods sold = $1,997 + $10,392 - $2,131
Cost of goods sold = $10,258
b. Cash paid to supplier
Cash paid=2015 Beginning balance + Purchases - 2015 Ending balance
Cash paid = $1,181 + $10,392 - $1,126
Cash paid = $10,447
Therefore the cost of goods sold is $10,258 million and the Cash paid to supplier is $10,447 million.
Learn more about cost of goods sold here:https://brainly.com/question/24742623
#SPJ1
62. The width of a rectangle is 3 cm less than its length. The perimeter of the rectangle is 30 cm. Find the length and width of the rectangle.
Answer: Length = 9 cm, Width = 6 cm
Step-by-step explanation:
L - 3 + L - 3 + L + L = 30
2L - 6 + 2L = 30
4L - 6 = 30
4L = 36
L = 9
Length = 9 cm
Width = 9-3 = 6 cm
Here is the histogram of a data distribution. All class widths are 1.
SO
4
3
2-
2 3
Which of the following numbers is closest to the mean of this distribution?
A. 2
OB. 3
O C. 10
OD. 5
5 6 7 8 9 10
E. 4
The correct answer is option B which is 3
What is mean?
Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Given data:-
4,3,2
The mean will be calculated as:-
Mean = (4 + 3 + 2) / 3
Mean = 9 / 3
Mean = 3
Therefore the correct answer is option B which is 3
To know more about mean follow
https://brainly.com/question/968894
#SPJ1
PLEASEEEEEE PLEASEEEEEE HELPPPPPPPPP!!!
Create a word problem that can be represented by this mathematical statement and
solve your problem.
12! / 3! 9!
should i create the world problem with 12 3 and 9?
Which graph best represents the equation shown below? 3x + y = 2 A. B. C. D.
Answer:
The plots are (0,2) (1,-1)
Step-by-step explanation:
a slanted line starting from top left corner ending in the bottom right
The tables represent the functions f(x) and g(x).
Which input value produces the same output value for the two functions?
x = –12
x = –9
x = –6
x = –3
A function assigns the values. The correct option is C, x=-6.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) When the value of x is -12,
f(-12) = 2/3(-12) + 7 = -1
g(-12) = 2(-12) + 15 = -9
B.) When the value of x is -9,
f(-9) = 2/3(-9) + 7 = 1
g(-9) = 2(-9) + 15 = -3
C.) When the value of x is -6,
f(-6) = 2/3(-6) + 7 = 3
g(-6) = 2(-6) + 15 = 3
D.) When the value of x is -3,
f(-9) = 2/3(-3) + 7 = 5
g(-9) = 2(-2) + 15 = 11
Hence, the correct option is C, x=-6.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ1
NEED HELP ASAP !!
Which equations are equivalent to 2 + 2 12-x1=1? Check all that apply.
Answer:
[tex]\frac{2}{3}|2-x|=\frac{1}{15}[/tex]
Step-by-step explanation:
[tex]\frac{1}{5} + \frac{2}{3} |2-x| = \frac{4}{15} \\\\\frac{1}{5}*(\frac{3}{3}) = \frac{3}{15}\\\\\frac{3}{15}-\frac{3}{15} + \frac{2}{3}|2-x| =\frac{4}{15}-\frac{3}{15}\\\\\frac{2}{3}|2-x|=\frac{1}{15}[/tex]
Which expression is equivalent to...
Answer:
first option
Step-by-step explanation:
[tex]\frac{(2g^5)^3}{(4h^2)^3}\\= \frac{8g^1^5}{64h^6} \\= \frac{g^1^5}{8h^6}[/tex]
Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]
The area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners. It has one pair of opposite congruent angles and the diagonals of a kite are perpendicular.
We have a quadrilateral shown in the picture.
The diagonal divides the quadrilateral into two triangles
The area of the quadrilateral = area of the triangle ADC + area of the
triangle ADB
= (1/2)3.42×4.39 + (1/2)5.44×3.42
= 7.5069 + 9.3024
= 16.80 square units
Thus, the area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.
Learn more about the quadrilateral here:
brainly.com/question/6321910
#SPJ1
A student survey his classmates to determine their favorite movies
Answer:
The answer is C. Hope it helps
A count of patients needing a blood transfusion in the emergency room at a city hospital would best be modelled by what
distribution?
A. geometric
B. continuous
C. normal
D. Poisson
The count of patients needing a blood transfusion can be modelled as a continuous distribution.
What is a continuous distribution?
A continuous distribution is a distribution that can take on an infinite number of possible values. A continuous distribution is not defined at specific values. The number of patients can be 1 or 10 or 50 or even 0.
To learn more about a continuous distribution, please check: https://brainly.com/question/14699767
#SPJ1
Expert Mathematicians, please help!
Answer:
Two functions which satisfies the H(x) are f(x) = 2x - 4, (x) = x⁵ and
f(x) = 2x, g(x) = x⁵ - 2
Step-by-step explanation:
The given question is based on the decomposition of a given function into two functions
Decomposition of a function :- functional decomposition is the process of resolving a functional relationship into its constituent parts in such a way that the original function can be reconstructed from those parts by function composition
so the function given in the question is H(x) = 2x⁵ - 4
now by using the concept of decomposition of a function we can find two functions f and g
therefore,
f(x) = 2x - 4
and g(x) = x⁵
similarly we can find another pair which satisfies the function H(x)
f(x) = 2x
and g(x) = x⁵ - 2
more about decomposition of functions at :
https://brainly.com/question/14310025
#SPJ10
(6-^8)^4 please helpppp
[tex](6^-^8)^4[/tex]
[tex]=6^-^2^4[/tex]
[tex]=\frac{1}{6^2^4}[/tex]
PLEASE HELP ME ASAPPPP
Which statement best describes the relationship between the two figures? Figure QRTS is bigger than figure Q’R’T’S’. Figure QRTS is congruent to figure Q’R’TS’. The measure of angle R is equal to the measure of angle Q’. The measure of angle S is equal to the measure of angle T’.
Answer: Figure QRTS is congruent to figure Q'R'T'S'.
Step-by-step explanation:
A reflection is a rigid motion, and rigid motions preserve congruency.
Which of the following is the number if sides a polygon can have to form a regular tessallation?
A. 5
B. 9
C. 3
D. 7
None of the options is true.
Three Different, Regular tessellation is formed 1. if we join regular polygons of side 3, called equilateral triangle,2. Regular polygon of side 4, called Square, and 3. Regular polygon of side,6 called hexagon,
to form a pattern.
What is the polygon?A polygon is said to be regular if all interior angles and all sides are equal.
The regular polygon of side 3, when joined together can be named: 3.3.3.
The regular polygon of side 4, when joined together can be named 4.4.4.
The regular polygon of side 6, when joined together can be named 6.6.6.
So, a regular tessellation is formed, from a regular polygon having,3,4, and 6 Sides.
None of the sides of the polygon, which is given in the option, can be used to form a regular tessellation.
None of the options is true.
To learn more about the polygon visit:
https://brainly.com/question/1592456
#SPJ1
Please help! Will give the brainliest :)
Answer:
First figure out the angle measure of CBA and DBE to find out what Angle measure of ABE is.
Angle CBA and DBE are vertical angles, meaning they are congruent.
so set the equation as:
(2x+21)=(5x)
21=5x-2x
21=3x
x=7
It doesn't matter in which angle you plug 7 you get the same angle measure, so : 5x=5(7)=35 degrees
So to find angle measure of ABE:
We know that ABE and DBE form linear pair, so
180-35=145 degrees
145 degrees is the answer.
Hope it helps!
Answer:
∠ABE = 145°
Step-by-step explanation:
because angle CBA and ABE form a straight line, we know that they must add together to 180 degrees
and because DBE and ABE also form a straight line/angle, they must add together to 180 degrees
we can set this up as a system of equations (I will be writing ABE as "y")
2x + 21 + y = 180
5x + y = 180
We can combine this to beL
2x + 21 + y = 5x + y
- 2x -2x
21 + y = 3x + y
- y - y
21 = 3x
x = 7
If we plug this back into our original equations (which is set to 180 degrees), we can find y
2(7) + 21 + y = 180
14 + 21 + y = 180
35 + y = 180
- 35 - 35
y = 145
(remember, "y" is angle ABE)
we can check this value (ABE = 145) by substituting our second equation
5(x) + ABE = 180
35 + 145 = 180
180 = 180
(TRUE)
so, the measure of ∠ ABE is 145°
hope this helps!!
What is the average rate of change from n = 1 to n = 2 for the sequence an = 2(2)n − 1
Answer: 2
Step-by-step explanation:
[tex]a_{n}=2(2)^{n-1}\\\\a_{1}=2(2)^{1-1}=2\\\\a_{2}=2(2)^{2-1}=4[/tex]
Average rate of change:
[tex]\frac{4-2}{2-1}=\boxed{2}[/tex]
Construct a linear equation for the linear data presented in the table
Answer:
y = -7x
Explanation:
Take two points from table: (-4, 28), (-3, 21)
Find slope:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
[tex]\rightarrow \sf slope\ (m): \dfrac{21-28}{-3-(-4)} = -7[/tex]
Now find equation:
[tex]\sf y - y_1 = m (x - x_1)[/tex]
[tex]\rightarrow \sf y - 21 = -7(x - (-3))[/tex]
[tex]\rightarrow \sf y = -7(x +3) + 21[/tex]
[tex]\rightarrow \sf y = -7x -21 + 21[/tex]
[tex]\rightarrow \sf y = -7x[/tex]
Slope
m=y/xm=14/-2m=-7Equation of line
y=mx+0y=-7xa) Write VW as a column vector.
b) Write WV as a column vector.
c) Write a sentence to explain what you notice about
your answers.
W
V
Answer:
vector VW= w - v
vector WV= v - w
Step-by-step explanation:
there are no figures to solve the question so i'll just write the formula..
vector VW= w - v
vector WV= v - w
solve for x
[tex]\bold{x {}^{2} + 5x + 6 = 0}[/tex]
ty! ~
Answer:
x = -2x = -3Step-by-step explanation:
[tex] \bf {x}^{2} + 5x + 6 = 0[/tex]
Write the equation in factored form.
[tex]\bf (x + 2)(x + 3) = 0[/tex]
Separate equations, and set each factor to zero.
[tex]\bf x + 2 = 0[/tex]
[tex]\bf x + 3 = 0[/tex]
Rearrange and isolate the variable to find the solutions
[tex]\bf x = - 2[/tex]
[tex]\bf x = - 3[/tex]
------------------------------------
Answer:
x=-3 x=-2
Step-by-step explanation:
x^2 +5x+6 =0
We need to factor the equation
What two numbers multiply to 6 and add to 5
3*2 = 6
3+2 =5
(x+3)(x+2)
Using the zero product property
x+3 =0 x+2 =0
x=-3 x=-2
Algebra 2 help needed image below
Answer:
8x + 100
Step-by-step explanation:
Your answer is correct! But because the equation is already set to "y =", you do not need the "f(x)" in your equation.
Help me with this question please!! :)
Answer: 4.2%
Step-by-step explanation:
The probability the first response is correct is 1/6.The probability the second response is correct is 1/4.Multiplying these, we get (1/6)(1/4), which is about 4.2%
Based on the graph of g(x), on which intervals
are the function's values negative? Select all that
applv.
Answer:
[tex]\text{B}) \text{ } -3 < x < -1\\\text{D}) \text{ } 2 < x < \infty[/tex]
Step-by-step explanation:
The graph lies below the x-axis.
Please help me with this hard problem
Part 1: Finding [tex](g\circ h)(x)[/tex]
Note that [tex](g\circ h)(x)=g(h(x))[/tex]
In this case, it is [tex]g(\sqrt{x+4})=(\sqrt{x+4})^{2}-3=x+4-3=\boxed{x+1}[/tex]
Part 2: Domain
For the domain, we need to make sure the radicand of h(x) is greater than or equal to 0, so we get [tex]x+4 \geq 0 \longrightarrow \boxed{x \geq -4}[/tex]
The composition (g ο h) = x+ 1 and the domain of the composition (g ο h) is = (-∞ , ∞).
The composition (g ο h) means that the function g(x) composes of h(x) that is g(h(x)). So we have to put the the values of h(x) in the function g(x).
Now here it is given that
g(x) = [tex]x^{2} -3[/tex] and h(x) = [tex]\sqrt[2]{x + 4}[/tex]
so to get (g ο h) we have to replace the x with the value of h(x)
That gives :
g(h(x)) = [tex]\sqrt[2]{x+4} ^{2} - 3[/tex]
g(h(x)) = x + 4 - 3 = x +1
So the composition (g ο h) = x+ 1
The domain of the function is the values of x for which the function is defined.
so the domain of the composition (g ο h) is :
g(h(x)) = x+ 1
This function is undefined for no value of x .
So its domain is (-∞ , ∞).
Learn more about composition and domain here -https://brainly.com/question/13463273
#SPJ10
whats the GCF of x^6 and x^4
