Answer: I think it's D.
Step-by-step explanation:
I'm on the same thing and my best answer is Both functions are increasing, but function g increases at a faster average rate.
Both functions are increasing, but function g increases at a faster average rate.
x f(x)
-2 -46
-1 -22
0 -10
1 -4
2 -1
What is an increasing function?If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.
Let us assume [tex]f(x)=ab^x+c[/tex]
at x=0, f(0)=-10
So, [tex]-10=a+c[/tex]
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'(x)=-18(\frac{1}{3} )^xln(\frac{1}{3} )[/tex]
[tex]ln\frac{1}{3} < 0[/tex]
So, [tex]g'(x) > 0[/tex]
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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The number line shows the solution to an inequality. 40 45 50 55 60 Create an inequality represented by the number line using the variable n. 1 1 2 3 4 5 6 + 7 > 8 9
Answer:
55
45-55
Step-by-step explanation:
Given f(x)= -x -5 solve for x when f (x). =4
Answer:
x = -9
Step-by-step explanation:
given:
[tex]f(x) = - x - 5[/tex]
solve for x, when:
[tex]f(x) = 4[/tex]
◇◇•◇◇
[tex] - x - 5 = 4[/tex]
[tex] - x = 4 + 5[/tex]
[tex] - x = 9[/tex]
[tex]\boxed{\green{x = - 9}}[/tex]
Shirts are on sale for 20%.You buy 2 of them. As you pay, the cashier says, “20% off of each shirt means 40%off the total price.” Do you agree or disagree? Please explain thoroughly.
Step-by-step explanation:
Disagree.
If each shirt is originally x dollars, then the new price is 0.8x. So the total cost is 1.6x, down from the original 2x.
So the discount is (2x − 1.6x) / 2x × 100% = 20%.
jill write's 2 to the 3 power times 4 to the 3 power =8 to the 6 power and the teacher marked it wrong. Explain Jill's error
Answer:
Jill did 2*4 = 8. and then she added 3+3 for the exponets. This led her to get 8 ^6. What she should have done instead of figure it out separately. This would have led her to get 8*64, which is, 8^3.
Step-by-step explanation:
Please help with this question! I need to write it as an inequality. I tried searching for answers but they did not work!
Answer:
11 miles a day
Step-by-step explanation: 80 - 25 / 5
100 POINTS COME HELP
Answer:
218
Step-by-step explanation:
Answer:
218
Step-by-step explanation:
Communities A,B and C are faced with acurate water problem. The distance between A and B is 5km and that of A and C is 7km, the angle between path AB and Ac is 45 degree . If a well is to be dug for the communities such that it would have equal distance in the path linking each communities. A) indicate by using of sketching the exact place to dug the well. B) measure the distance between communities B and C
Answer:
B) The distance between communities B and c is 4.95 km.
Step-by-step explanation:
A) Join communities B and C. Then bisect angles A, B and C to determine the mid point equidistant to the three communities. The point where the three bisectors meet, w, is the exact place to dig the well.
The sketch is in the attachment to this answer.
B) Since we have two sides and an included angle, the cosine rule is applicable to determine a (distance between B and C).
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A
b = 7 km, c = 5 km and A = [tex]45^{o}[/tex]. So that;
[tex]a^{2}[/tex] = [tex]7^{2}[/tex] + [tex]5^{2}[/tex] - 2(5 x 7) Cos [tex]45^{o}[/tex]
= 49 + 25 - 70 x 0.7071
= 74 - 49.497
= 24.503
⇒ a = [tex]\sqrt{24.503}[/tex]
= 4.95
The distance between communities B and c is 4.95 km.
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer:
Step-by-step explanation:
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer:
The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Step-by-step explanation:
How wazzzz ya'll Day today? what is 40m+ 100m
Answer:
140
Step-by-step explanation:
[tex]100 + 40 = 140[/tex]
Answer: 140m
Step-by-step explanation:
1. Add 40 Meters (m) to 100 meters
40 + 100 = 140
140 Meters is your answer.
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
Answer:
(THE SPACES ARE THE FRACTIONS)
Step-by-step explanation:
Hence it is a simply rearrangement of the equation to start with, in order to make
y
the subject:
2
x
+
3
y
=
1470
3
y
=
1470
−
2
x
y
=
1470
3
−
2
3
x
y
=
490
−
2
3
x
This is the graph in ’slope-intercept’ form. From here it is easy to see that gradient =
−
2
3
and that y-intercept = 490.
The easiest way to draw a straight-line graph, such as this one, is to plot the y-intercept, in this case (0, 490), then plot another point either side of it at a fair distance (for example substitute
x
= -5 and
x
= 5 to procure two more sets of co-ordinates). These can be joined up with a straight line to form a section of the graph, which would otherwise extend infinitely either side - use the specified range in the question for x-values, and do not exceed it (clearly here the limit of
x
-values is 0 ≤ x ≤ 735, since neither x nor y can be negative within the context of the question - the upper limit was found by substituting
y
= 0).
In function notation, the graph is:
f
(
x
)
=
490
−
2
3
x
The graph of this function represents how the value of the function varies as the value of x varies. Looking back at the question context, this graph specifically represents how many wraps could have been sold at each number of sandwich sales, in order to maintain the same profit of $1470.
When the profit is higher, the gradient is not changed (this is defined by the relationship between the $2 and $3 prices, not the overall profit) - instead the
y
-intercept is higher:
2
x
+
3
y
=
1593
3
y
=
1593
−
2
x
y
=
1593
3
−
2
3
x
y
=
531
−
2
3
x
Therefore we have gleaned that the new y-intercept is 531.
Clearly I cannot see the third straight line. However the method for finding the equation of a straight line graph is fairly simple:
1. Select two points on the line and write down their coordinates
2. The gradient of the line =
c
h
a
n
g
e
−
i
n
−
y
c
h
a
n
g
e
−
i
n
−
x
3. Find the change in
y
(Δ
y
=
y
2
−
y
1
4. Find the change in
x
(Δ
x
=
x
2
−
x
1
5. Divide the result of stage 3 by the result of stage 4
6. This is your gradient
7. Take one of your sets of coordinates, and arrange them in the form
y
=
m
x
+
c
, where your
m
is the gradient you just calculated
8. There is only one variable left, which is
c
(the y-intercept). Simply solve for this
9. Now generalise the equation, in the form
y
=
m
x
+
c
, by inputting your gradient and y-intercept whilst leaving the coordinates as
y
and
x
For example if the two points were (1, 9) and (4, 6):
Δ
y
= 6 - 9 = -3
Δ
x
= 4 - 1 = 3
m
=
−
3
3
= -1
I choose the point (4, 6)
6 = (-1 * 4) + c
6 = c - 4
c = 10
Therefore, generally,
y
=
10
−
x
Within the context of the question, I imagine the prices of the two lunch specials will be the same in the third month and hence the gradient will still be
−
2
3
- this means steps 1-6 can be omitted. Furthermore if the axes are clearly labelled, you may even be able to just read off the y-intercept and hence dispose with steps 1-8!
can anyone help me with the bottom problem
Answer:
E
Step-by-step explanation:
they have the same dimensions it is just flipped around
please help I'm so confused rn so please helppp!!!!!
look at the screenshot
Answer:
there's no screenshot attached
Use the distributive property to write an equivalent expression. 4(16 + Y)
Answer:
46+y
Step-by-step explanation:
I will give 12 points for the answer
A 62-foot long rope is cut into 11-foot pieces to make jump ropes. How many 11-foot pieces can be cut and how many feet of rope will be left over? Explain how you got your answer.
Answer:
There will be 5 jump ropes and 7 feet left over
Step-by-step explanation:
62-11-11-11-11-11-11
Daily go from home to school driving my car the school is 15 miles (d) from my house. The speed limit is 30 miles per hour. I have to be at school not after 08:00 am (t1). Repersents the time leave home, where the limit is defined by d=s(t1-t0 What time should I leave home?
Answer:
7:30 a.m
Step-by-step explanation:
Number of miles from house to school(d) = 15 miles
Speed limit (s) = 30 mph
t1 = time to be in school is at most 8:00a.m
t0 = time to leave house
Given the model. :
15 = 30(8 - t2)
15 = 240 - 30t2
30t2 = 240 - 15
30t2 = 225
Divide through by 30
30t2 / 30 = 225/30
t2 = 7.5
Hence, I need to leave home by 7.5 (.5 in minutes = 0. 5*60 = 30 minutes)
Hence, t0 = 7:30,; I need to leave home by 7:30 a.m
Fatima has a total of $8 to spend to make fruit smoothies. She will use two types of fruit. What are the possible combinations of ingredients that Fatima can buy?
Answers:
part 1
A: mango and strawberry
B:pineapple and strawberry
C:mango and pineapple
part 2:
2x+3y=32
part 3:
x+2y=16
part 4:
3x+4y=32
part 5:
"most"
part 6:
"least
part 7:
10 2/3, and 16
part 8:
8, and 16
part 9:
8, and 10 2/3
part 10:
12
part 11 (finale)
A and B
PLEASE HELP! 20 points
Answer: 60
Step-by-step explanation:
subtract 24 from 144, then divide each side by 2. x=60
13.2 + 0.05 - 5.45 can u please solve it I need it right now really fast.
Answer:
7.8
Step-by-step explanation:
13.2 + 0.05 - 5.45
~Add
13.25 - 5.45
~Subtract
7.8
Best of Luck!
Answer:
7.8 is the answer
After a baby was born, he began to gain weight at a rate of 1.25 pounds per
month. The weight of the baby at birth was 7 pounds. Make a table of values
and then write an equation for W, in terms of t, representing weight, in
pounds, of the newborn baby t months after birth.
Answer:
W = 7 + 1.25t
0 month= 7
1 month = 8.25
2 month = 9.5
3 month = 10.75
PLEASE HELP QUICK!!
Select the equation that is in Standard Form:
1.) y = 3x + 4
2.) 3y = 4x + 8
3.) 3x + 4y = 8
Answer: 3.) 3x+4y=8
Step-by-step explanation: It is in standard linear form AX+BY=C
Multiply (5t^6)(7t^3) =
Answer:
[tex]35t^{9}[/tex]
Step-by-step explanation:
Since you're multiplying these terms together, you would multiply the base numbers and add the exponents.
Base: 5 × 7 = 35
Exponents: 6 + 3 = 9
Hope this helps! I apologize if I'm incorrect
The multiplication of this expression (5t⁶)(7t³) is 35t⁹
To determine the multiply of
(5t⁶)(7t³)
First multiply the base numbers.
Base: 5 × 7 = 35
Then, add the exponents together
Exponents: 6 + 3 = 9
Therefore, the final expression is 35t⁹
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(x2 + 2xy + y2)(x+1)
A) X3 + 2x2y + x2 + y2 +xy2
B) X2 + 2xy + y2
C) x3 + x2 +2x2y +xy2 + y2 + 2xy
D) x2 + y2 + 2xy + x + 1
Please show me how you solved it, I'm struggling with these and need an example to follow off of to complete the assignment so I can understand it better. Thank you!
Answer: x3 + x2 +2x2y +xy2 + y2 + 2xy
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the factor of x*4-8x*2 +16
Answer: 12
Step-by-step explanation: x*4-8x*2 +16= −4⋅(3x−4)= 12
where is it supposed to go lol
numeros enteros cuyo valor absoluto sea menor que 11
Answer:
The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.
El valor absoluto de cualquier número positivo es el número en sí, por lo que 11 tiene 11 como valor absoluto. Además, el valor absoluto de un número negativo es su opuesto (positivo), por lo que también tiene 11 como valor absoluto.
Step-by-step explanation:
How do i find angle equation of angle bisector with 2 angles? I have 2 angle, 50° and 3x+1. How do i make an solvable equation with it? Sorry for my bad english!
Answer:
50° = 3x + 1, and x ≅ [tex]16.3^{o}[/tex]
Step-by-step explanation:
An angle bisector divides a given angle into two equal part in degrees.
Now, given that we have <ABC which has been bisected into two angles 50° and 3x + 1.
Since the two angles are equal, then;
50° = 3x + 1 (bisection property of an angle)
So that,
50° - 1 = 3x
49 = 3x
Divide both sides by 3, to have;
x = [tex]\frac{49}{3}[/tex]
= [tex]16.3^{o}[/tex]
Therefore, the value of x is approximately [tex]16.3^{o}[/tex].
Keith has $500 in a savings account at the beginning of summer he wants to atleast have $200 at the end of summer he withdraws $25 per week for food clothing and movie tickets how many weeks can keth with draw from his account
Answer:
12 weeksStep-by-step explanation:
"Keith has $500 in a savings account at the beginning of summer he wants to atleast have $200 at the end of summer he withdraws $25 per week for food clothing and movie tickets how many weeks can keth with draw from his account"
given data
amount at hand=$500
amount expected= $200
weekly deduction from amount at hand=$25
Note: this is a reduction situation at a rate of $25
the expression for the situation is given as
y=c-mx
where y=200
c=500
m=25
substituting we have
200=500-25x
solving for x we have
200-500=-25x
-300=-25x
divide both sides by 25 we have
x=300/25
x=12 weeks
Mr. Jeffries has $72 in his wallet. He pays $67 in cash for groceries and withdraws $49 in cash from his bank account. How much can he spend before he has no cash left in his wallet?
Answer:
Step-by-step explanation:
72-67 is 5
49+5 is 54
he can spend 54 dollars
PLEASE HELP!! what is m/9+2/3= 7/3 what does the m=?
Answer:
15
Step-by-step explanation: