The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.
Given the table
x f(x)
-2 -46
-1 -22
0 -10
1 -4
2 -1
We have to choose which statement describes better about function
Let us assume [tex]f(x)=ab^x+c[/tex]
at x=0, f(0)=-10
So, -10 =a+c
Similarly, by satisfying the above table in the f(x)
[tex]f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}[/tex]
[tex]f'(x) > 0[/tex]
So we can say that f(x) is an increasing function.
[tex]g(x) = - 18 (\frac{1}{3} )^ x + 2[/tex]
[tex]g^ \prime (x) = - 18 (\frac{1}{3} )^ x ln(1/3)[/tex]
ln(1/3) < 0
So, g^ \prime (x) > 0
So, g(x) is an increasing function.
For any x∈f(x) and x∈g(x) [tex]g'(x) > f'(x)[/tex]
So, g increases at a faster average rate
Thus, Both functions are increasing, but function g increases at a faster average rate.
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Mikaela and Viktoria both competed in a curling match on opposing teams. Mikaela
said to Viktoria, "2 more than twice my team's score is the
same as three times your team's score reduced by 3." If
Viktoria's team's score was 7, what was Mikaela's team's
score?
Answer:
Mikaela's team scored 5.3 points, in whole number form 5.
Step-by-step explanation:
If Viktoria's team's score was 7, 2 more than twice is (7*2) +2.
(7*2)+2=16
16 is three times Mikaela's team's score. Reduced by three means just to divide.
16/3=5.3
Mikaela's team scored 5 points.
Hope this helps!
If not, I am sorry.
Answer:
8
Step-by-step explanation:
Make it into an equation.
2x+2=(3x7)-3
2x+2=21-3
2x+5=21
2x=16
x=8
8
Add the equations. Two-Variable Systems: Elimination (question is linked with the screenshot below)
Answer:
2y = 24Given -
5x - y = (-1)
-5x + 3y = 25
To find - Summation of this
5x - y = (-1)
+ (-5x) + 3y = 25
adding both the equation we get,
5x +(-5x) - y + 3y = (-1) + 25
0 + 2y = 24
2y = 24.
Answer:
2y = 24
Step-by-step explanation:
5x – y = -1
+ - 5x + 3y = 25
2y = 24
Hence, A. 2y = 24 is the right answer.
The table below shows the earnings, in thousands of dollars, for three different commissioned employees.
Who had the largest dollar amount in sales for the month of December?
a.
The salary plus commission employee.
b.
The straight commission employee.
c.
The graduated commission employee.
d.
They each had the same dollar amount in sales.
The answer to the person with the largest dollar sales in December is d. They each had the same dollar amount in sales.
What were the sales amounts in December?The sales of the salary + commission employee is:
= (4,400 - 2,000) / 3%
= $80,000
The sales of the straight commission employee is:
= 5,600 / 7%
= $80,000
The sales of the graduated commission employee is:
The amount earned on the first $40,000 is:
= 5% x 40,000
= $2,000
The rest of the sales is therefore:
= (5,200 - 2,000) / 8%
= $40,000
The total sales for this employee is:
= 40,000 for 5% commission + 40,000 for 8%
= $80,000
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What is the area of triangle ABC?
Answer:
3 square units
Step-by-step explanation:
Use BC as the base = 2
Use y -axis to C (or B) as the height = 3
Area of triangle = 1/2 * base * height = 1/2 * 2 * 3 = 3 units^2
Please helpWhich graph represents the reflection of ABC over the line x=0
Answer:
A
Step-by-step explanation:
Reflection over the x axis means that for points A, B, and C, the sign of the y value would change. Since point A is (1, 1), a reflection over the x axis means that it would become (1, -1). We can do the same for points B and C and therefore the answer is graph A
Answer: D for me at least
Step-by-step explanation: hope this helps :3
6. Which equation has a slope of - 7 and contains
(-2,-2) ?
A. y-2=-2(x-7)
B. y + 2 = 7(x-2)
C. y-2=-7(x + 2)
D. y + 2 = 7(x + 2)
Answer:
so there is no answer in choice
Step-by-step explanation:
y=mx+b
so we have m,y and x so we have to find b
-2=-7×-2+b
b=-16
so y=-7x-16
the answer should be
y+2=-7(x+2)
Which if the following rules best describes the matrix below?
a.
dilation of scale factor 2
c. reflection over the line y = x
b. reflection over the y-axis
d. translation 1 unit left and 1 unit up
Answer:
D
Step-by-step explanation:
i just know i guess
S is a subset within a universal set, u. if s = {x, y, 4, 9, ?}, which could describe u?
The set that best describes the universal set U is; U = {keys on a keyboard }
How to determine mathematical sets?We are told that S is a subset within a universal set U.
Now, from the subset S = (x, y, 4, 9, ?), we will need to find among the given sets the one that describes the best set.
From the subset, we see that the Universal set will be keys on a key board due to the fact that the keys on a keyboard will have alphabets, numbers and punctuation marks mentioned in the set.
Therefore U = {keys on a keyboard } will be the correct answer.
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Modeling with Two- and Three-Dimensional Figures: Practice
Question 1 of 5
Select the correct answer.
A solid metal cylindrical rod has a diameter of 4 centimeters and a length of 100 centimeters. The rod weighs between 10 and 11 kilograms.
What type of metal was used?
O
O
O
Yellow brass with a density of 8.47 g/cm³
Stainless steel with a density of 7.48 g/cm³
Iron with a density of 7.87 g/cm³
Nickel with a density of 8.90 g/cm³
dhy
Answer:
Yellow Brass with a Density of 8.47 g/cm^3
Step-by-step explanation:
That's the answer on the website
Need help with number 27 asap
Answer:
Yes
Step-by-step explanation:
Yes; points X and Y are fixed under the reflection, so they must lie on the line of reflection. Since two points determine a line, the line of reflection is XY.
https://www.rcboe.org/cms/lib010/GA01903614/Centricity/Domain/1030/Reflections.pdf
.
Select all the functions that show an inverse variation...
a) y=6x
b) y=3/x
c) y=1/3x
d) y= -.07x
e) y= 2/x+4
f) xy=-3
Function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we know, when x is not equal to zero and k is a nonzero real number constant, the equation of the form xy = k describes the nonlinear function known as inverse variation.
a) y=6x
The above function is a linear function
b) y=3/x
or
xy = 3
The above function shows an inverse variation.
c) y=1/3x
or
y = (1/3)x
The above function is a linear function
d) y= -.07x
The above function is a linear function
e) y= 2/x+4
or
y = (2+4x)/x
xy = 2 + 4x
The above function shows an inverse variation.
f) xy=-3
The above function shows an inverse variation.
Thus, function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.
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the only difference between the set of whole numbers and the set of natural numbers is that 0 is only included in the set of (circle answer)
whole numbers or natural numbers).
Answer:
Whole numbers
Explanation:
0 is a whole number, but not a natural number. Whole numbers include all natural numbers and 0.
Instructions: Simplify the algebraic expression.
[tex]4(-4x-\frac{3}{2} )[/tex]
HELPPPPP ITS AN EMERGENCY ITS MY FINAL GRADEEEEE
click on the photo
Answer:
D
Step-by-step explanation:
2 units right 1 unit down
Good luck
Answer:
(x-2, y+1)
Step-by-step explanation:
G(0, 4) -> G'(-2, 5)
H(2, 4) -> H'(0, 5,)
E(0, 2) -> E'(-2, 3)
F(-1, 2) -> F'(-3, 3)
Question 1
Use right triangle XYZ to complete the following parts.
Part A
12
XY =
30°
? Question
What is the length of XY in AXYZ?
Type the correct answer in the box. Use numerals instead of words.
units
Answer:
XY = 6
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{XY}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 XY = 12 ( divide both sides by 2 )
XY = 6
The length of the side XY in ΔXYZ is 6 units.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
In reference to the angle of 30° opposite side is XY and the hypotenuse is 12 units.
We know, sin = opposite/hypotenuse.
Therefore, sin30° = XY/12.
1/2 = XY/12.
XY = 12/2.
XY = 6 units.
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On the first journey, a cyclist travelled 1 1/2 km in x minutes.
On the second journey, the same cyclist travelled for y hours at the same average speed as on his first journey. Express, in terms of x and
total distance travelled in km for both journeys.
The equation D = 1.5x/y represents the total distance traveled in km in terms of x.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
On the first journey, a cyclist traveled 1 1/2 km in x minutes.
As we know,
Speed = distance/time
Distance = 1 1/2 = 3/2 km = 1.5 km
time = x
Speed = 1.5/x
On the second journey, the same cyclist traveled for y hours at the same average speed as on his first journey.
Distance = speed×time
Distannce(D) = (1.5/x)(y)
D = 1.5x/y
Thus, the equation D = 1.5x/y represents the total distance traveled in km in terms of x.
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y=5+3x for x
Show work
Answer:
[tex]x = \frac{y - 5}{3}[/tex]
Step-by-step explanation:
Hello!
To solve for x, we have to first isolate the variable.
Solve for x[tex]y = 5 + 3x[/tex][tex]y - 5 = 3x[/tex][tex]y - 5 = 3(x)[/tex][tex]\frac{y - 5}{3} = x[/tex]The value of x is [tex]\frac{y - 5}{3}[/tex].
how many times does the quadratic function below intersect the x-axis?
y=x^2+10x+25
Answer:
A. 1
Step-by-step explanation:
To find the x-intercept, substitute 0 for y and solve for x.
x-intercept(s): (-5,0)
Considering (-5,0) is the only intersection on the x-axis, 1 is your answer.
If you want a visual of this, I recommend you use the Desmos graphing calculator to input your equation. It will show you what the curved line looks like.
Abigail works as a salesperson at an electronics store and sells phone: accessories. Abigail earns a $12 commission for every phone she sells commission for every accessory she sells. On a given day, Abigail mad $258 in commission and sold 6 more accessories than phones. Write a equations that could be used to determine the number of phones sold a number of accessories sold Define the variables that you use to write thigail works as a salesperson at an electronics store and sells phones and phone cessories. Abigail earns a $12 commission for every phone she sells and a $3 mmission for every accessory she sells. On a given day, Abigail made a total of 258 in commission and sold 6 more accessories than phones. Write a system of quations that could be used to determine the number of phones sold and the umber of accessories sol Define the variables that you use to write the system.
The system of equations are:
$12p + $3a = $258
a - p = 6
Where:
a = phone accessories p = phoneWhat are the system of equations?Two linear equations would be derived from the question. The linear equations would be a function of the phones and accessories sold. These equations are known as simultaneous equations and they would have to be solved together in order to determine the required values.
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Pls help me with these =)
a) the correct expression for the perimeter of the shape is B
Write down six numbers that have a median of 8, a mean of 9 and a range of 13.
Hurry please!
Answer:
5 ,6,8,8,9,18
Step-by-step explanation:
5 ,6,8,8,9,18
Range:
18-5=13
Median:
8
Mean:
5+6+8+8+9+18=54
54÷6=9
The function h(x) is given below.
h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
Which of the following gives h–1(x)?
{(3, 5), (5, 7), (6, 9), (10, 12), (12, 16)}
{(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}
{(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
{(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}
The inverse function will be h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}. Then the correct option is B.
What is inverse of a function?Suppose that the given function is
f:X → Y
Then the inverse of the considered function will be
f⁻¹: Y → X
The function h(x) is given below.
h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
Then the coordinate of the inverse function gets swapped.
h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}
Then the correct option is B.
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Please help me with this question
Answer:
7
Step-by-step explanation:
OK, so we're looking for the index in the fourth column and the fourth row
which is gonna be 7 if you count correctly
[tex] {2}^{5} \div 4 = {2}^{5} \div {2}^{a} = {2}^{b} = c [/tex]
What Does:
a= ?
b= ?
c= ?
Step-by-step explanation:
please mark me as brainlest
the expression 5 3/2 is equivalent to
to √5³
Step-by-step explanation:
[tex] = {5}^{ \frac{3}{2} } [/tex]
[tex] = \sqrt[2]{ {5}^{3} } [/tex]
[tex] = \sqrt{ {5}^{3} } [/tex]
(PLEASE HELP!) Determine the values for the pronumerals that make the following piece-wise functions continuous.
Answer:
a = - 1b = 7Given A piece-wise function, consisting of three lines.
In order to make the function continuous, the first and second pairs of lines should have common points.
Let's find the common points.1. Intersection of the first two lines:
- x = 2 + x -2x = 2x = - 1This determines the value of a:
a = - 12. Intersection of the second two lines:
2 + x = 2x - 52x - x = 2 + 5x = 7This determines the value of b:
b = 7See the graph attached
factorise
answer is (a+c) (ca-b²)
Answer:
Step-by-step explanation:
2. Given that 5-6 ÷ 5p = 125º, find the value of 1/2p
Answer: -50
Step-by-step explanation:
5 - 6 / 5p = 125 degrees
1/2p = ?
First, subtract 5 from both sides, that way, the 5 on the left side will cancel out.
-6/5p = 125-5 degrees
-6/5p = 120 degrees
now, multiply 5p on both sides.
-6 = 120 * 5p degrees
-6 = 600p degrees
divide 600 on both sides
-6/600 = p degrees
-0.01 = p degrees
p = -0.01
1/2p = 1 / -0.02 = -50
Hope I helped!
Please don't give a long answer
2400 - 40x = 600
As she has not studied 600 flashcards still, we subtract unit rate from total.
Part B40x - 600 = 2400
Here 'x' represent per hour. As he rents studio space for 600, subtracting this from total he earns by charging his students gives us the profit.
Part C(600 + 40)x = 2400
Here 'x' represent mass. As masses are same for both. They can be joined.
If 343* = 494-x, what is the value of x?
5/8
8/5
2
8
Answer: [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
343 is equal to 7 to the power of 3.
49 is equal to 7 to the power of 2.
You can then make the equation:
[tex](7^{3})^x = (7^2)^{4-x}[/tex]
The powers law means if something is to the power of something, it is multiplied.
So, we can remove the 7 and make the equation:
3x = 2(4-x)
3x = 8 - 2x
5x = 8
x = [tex]\frac{8}{5}[/tex]
You can verify this by plugging it in,
[tex]343^{8/5} = 11388.6066[/tex]
[tex]49^{4-(8/5)} = 11388.6066[/tex]