How does the graph of f(x) = -4^5x - 3 differ from the graph of g(x) = -4^5x?
A. The graph of f(x) is shifted three units to the right of the graph of g(x).
B. The graph of f(x) is shifted three units down from the graph of g(x).
C. The graph of f(x) is shifted three units up from the graph of g(x).
D. The graph of f(x) is shifted three units to the left of the graph of g(x).
Using translation concepts, it is found that the correct option is given by:
B. The graph of f(x) is shifted three units down from the graph of g(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is:
[tex]g(x) = -4^{5x}[/tex]
The translated function is:
[tex]f(x) = -4^{5x} - 3[/tex]
3 was subtracted from the original function, which means that the translated function was shifted 3 units down, and option B is correct.
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A bag contains 5 red marbles, 10 white marbles, and 9 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red?
Answer:
5/24
Step-by-step explanation:
Number of red marbles = 5Number of white marbles = 10Number of blue marbles = 9Total number of marbles = 24P(getting red marbles) = (Number of red marbles)/(Total number of marbles)P(getting red marbles) = 5/24Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair. (Remember the slope-intercept form is y = m x + b)
y = StartFraction 5 Over 6 EndFraction + StartFraction x Over 3 EndFraction
a.
slope = Negative StartFraction 5 Over 6 EndFraction; y-intercept (0, One-third)
b.
slope = Five-sixths; y-intercept (0, One-third)
c.
slope = Negative one-third; y-intercept (0, Five-sixths)
d.
slope = One-third; y-intercept (0, Five-sixths)
The slope of the given linear equation is 1/3 and the y-intercept will be 5/6. Then the correct option is D.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair.
The linear equation is given below.
[tex]\rm y =\dfrac{5}{6} + \dfrac{x}{3}[/tex]
Then the slope of the equation will be 1/3.
And the y-intercept will be 5/6.
More about the slope link is given below.
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Answer:
d
Step-by-step explanation:
Selling price of a book at 1300:00 with a profit of 200:00 what's the selling price
Answer:
sp= 1300
p=200
Sol...
1300-200=1100
Can someone answer theese questions I WILL GIVE BRAINLIST and thanks and a 5 star if they are correct
PLEASE HELP ILL GIVE 20 PTS!!!! What is the measure of an angle if it is 20 less than three times it’s own supplement?
An angle's measure is 20 times less than its supplement. Determine the angle's length. supplement = 180 - x = 180 - 130 = 50 degrees
Element X decays radioactively with a half life of 14 minutes. If there are 310 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 5 grams?
y = a(.5) /
Answer:
83.4
Step-by-step explanation:
Juan leaned a 55-foot ladder against the side of a building. The base
of the ladder is 21 feet from the base of the building. The top of the
ladder is 11 feet from the top of the building. How tall is the building?
Provide an answer accurate to the nearest tenth of a foot.
11
55
21
tabel optional
PLEASE HELP ME PASS 8th GRADE
Answer:
61.8 feet to nearest tenth.
Step-by-step explanation:
USING THE PYTHAGORAS THEOREM:
55*2 = 21^2 + h^2 where h is the height of the top of the ladder from the ground.
h^2 = 55^2 - 21^2
= 2584
h = √2584
= 50.83 ft.
So the height of the building
= 11 + 50.83
= 61.83 feet.
How tall is Merapi in Indonesia?
A. 2,698 meters
B. 3,000 meters
C. 5,201 meters
D. 26.2 miles
Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?
1.29x + 0.85y < 5
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5
Answer:
0.85x + 1.29y < 5
Step-by-step explanation:
x and y will be the numbers of grapes and potatoes he purchased.
Find the slope of the line passing through the pairs of points. (-11. - 11) and (10,- 1)
Answer:
the slope is [tex]\frac{10}{21}[/tex]
Step-by-step explanation:
slope formula for linear equations:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] so for the two points [tex]\frac{-1 - (-11)}{10 - (-11)}[/tex] [tex]= \frac{10}{21}[/tex]
How do I answer this 1x+2
Answer:
x+2
Step-by-step explanation:
Given polynomial:
1x+2
x can be written as 1x, which is
1x = xSame case is here as well.
Rewrite 1x as x:
x + 2There isn't any like terms so we can't simplify.
What number is 32% of 100?
Answer:
32
P = 100 × 32%(0.32) = 32
Answer:
32
Step-by-step explanation: You multiply 100 by 0.32 which is 32% as a decimal
A packaging factory is open from Monday to Saturday.
In a particular week, 15,000 packets were packed on Monday and the factory was also closed on Tuesday.
If no less than 100,000 packets should be packed in that week, what is the minimum equal number of packets that must be packed per day for the remaining days?
packets
Answer:
A minimum of 21250 packets per day.
Step-by-step explanation:
If Monday produced 15,000 packets, and Tuesday was closed they produced 15,000 packets in 2 days.
The factory is open 6 days a week.
They need 100,000 packets.
They have 15,000 packets.
6 subtract 2 is 4.
100,000 subtract 15,000 is 85,000.
They need 85,000 packets in 4 days.
That is a minimum of 21250 packets per day.
21250 is minimum equal number of packets that must be packed per day for the remaining days
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that packaging factory is open from Monday to Saturday.
On monday 15,000 packets were packed.
On tuesday the factory is closed.
The factory has to pack in that week of 100000 packets.
As already 2 days completed by packing 15000
The remaining packets should be packed within 4 days.
The remaining packets are 100000-15000
85000
This should be done with in four days of time.
We need to find the minimum equal number of packets that must be packed per day for the remaining days.
Divide 85000 by 4
85000/4
21250
Hence, 21250 is minimum equal number of packets that must be packed per day for the remaining days
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Area for 10 1/4 and 10 1/2
One day you consume 290 grams of carbohydrates, 60 grams of fat, and 70 grams of protein. What are your total calories for the day?
290 grams of carbs=
60 grams of fat=
70 grams of protein=
Total for the day=
explain please thanks
Answer: 1980 calories
Step-by-step explanation:
290grams of carbs=1160g
60 grams of fat=540
70 grams of protein=280 calories
290 x 4=1160
60 x 9=540
70 x 4=280
1160+540+280=1980 calories
carbs provide 4 calories per gram
fat provides 9 calories per gram
protein provides 4 calories per gram
Simplify each expression. Write your answer as a complex number.
4i+(2+8i)
(2-7i) - (5-3i)
(5-4i)+(2-7i)
(-3-4i) - (-3+5i
Answer:
1. 2 + 12i
2. -3 - 4i
3. 7 - 11i
4. -9i
Step-by-step explanation:
just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi
Does anyone know how to do this Venn diagram question?
Answer:
[tex]\frac{8}{30}[/tex]
Step-by-step explanation:
Card(AUBUC)= Card(A)+card(B)+card(C)-Card (A∩B) -Card( A∩C)-Card(B∩C) +Card(A∩B∩C)
= 21 + 14 + 15 - 10 - 8 - 4 + 2
= 30
Then
Card(AUBUC) = 30
Card( A∩C) = 2 + 6 = 8
[tex]p\left( A\cap C\right) =\frac{card\left( A\cap C \right) }{card\left( A\cup B\cup C \right) }[/tex]
[tex]=\frac{8}{30}[/tex]
Craig bought 8 folders and notebooks for school folders costs 50 cents and notebooks costs a $50 Craig spent a total of $6 how many folders and how many notebooks did he
buy
The number of folders and notebooks in the equation is given by 3 and 5 respectively.
How to find number of folders and notebooks?let
x = number of foldersy = number of notebooksThe equation:
x + y = 8
0.50x + 1.0y = 6
From (1)
x = 8 - y
Substitute x = 8 - y into (2)
0.50(8 - y) + 1.0y = 6
4 - 0.50y + 1.0y = 6
4 + 0.40y = 6
4 - 6 = -0.40y
-2 = - 0.40y
y = -2 / 0.40
y = 5
Recall
x + y = 8
x + 5 = 8
x = 8 - 5
x = 3
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he average of 7 consecutive even integers is 10. What is the largest
of the 7 integers?
Answer:
only two brother ok bye
Please help I'll give 100 points to whoever is correct
Answer:
110.5 yd²
Formula's:
Area of triangle:
1/2 × base × height
Area of rectangle:
length × width
Area of the figure:
= area of triangle + area of rectangle's
= 1/2 × 11 × 7 + 3 × 4 + 5 × 3 + 5 × 2 + 7 × 5
= 110.5 yd²
Answer:
110.5 yd²
Step-by-step explanation:
Separate the figure into 1 triangle and 3 rectangles.
(see attached image)
Area 1
Area of a triangle = 1/2 × base × height
= 1/2 × (7 + 2 + 2) × 7
= 1/2 × 11 × 7
= 38.5 yd²
Area 2
Area of a rectangle = width × length
= 3 × (5 + 2 + 2)
= 3 × 9
= 27 yd²
Area 3
Area of a rectangle = width × length
= 5 × (5 + 2)
= 5 × 7
= 35 yd²
Area 4
Area of a rectangle = width × length
= 2 × 5
= 10 yd²
Total Area
Area 1 + Area 2 + Area 3 + Area 2 = 38.5 + 27 + 35 + 10
= 110.5 yd²
Please help me on this question I’m very confused I will give you brainless??
To solve this problem, we need to use the theorem which states that the sum of angles in a triangle is equal to 180 degrees. The value of m<FED is equal to 120 degrees. From the diagram given, m<CBD is complimentary with m<BED
Sum of Angles in a TriangleThe value of m<FED can be calculated by summing the entire entity and equating to 180 degrees.
Data;
m<FED = (16x - 8)m<EFD = 35m<EDF = 2x + 9[tex]35+(16x-8)+(2x+9) = 180[/tex]
Reason: The sum of angles in a triangle is equal to 180 degrees.
But we would need to solve for the value of x.
[tex]35+(16x-8)+(2x+9) = 180\\35 + 16x - 8 + 2x + 9 = 180\\36+ 18x = 180\\180 - 36 = 18x\\18x = 144\\x = \frac{144}{18} \\x = 8[/tex]
Let's substitute the value of x into m<FED
[tex]m < FED = 16x - 8\\x = 8\\m < FED = 16(8) - 8 \\m < FED = 128 - 8\\m < FED = 120^0[/tex]
The value of m<FED is equal to 120 degrees.
From the diagram given, m<CBD is complimentary with m<BED
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Evaluate the formula for the area of a triangle to solve the problem.
The area of a sandbox = one-half base times height. The height is 2.4 meters and the base is 3.5 meters.
Lokota wants to build a sandbox for his little brother. Determine the amount of sand he needs by finding the area of the sandbox. Use the drop-down menus to complete the statements.
First, write the
.
Next, use parentheses when you substitute
for b and
for h.
Now, simplify by
1
2
, 2.4, and 3.5.
The area of the sandbox is
m².
The area of the triangle will be 4.2 square meters.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The height is 2.4 meters and the base is 3.5 meters.
Then the area of the triangle will be
Area = 1/2 x b x h
Then we have
Area = 1/2 x 3.5 x 2.4
Area = 4.2 square meters
More about the triangle link is given below.
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✔ formula: A = 1/2 bh
✔ 3.5
✔ 2.4
✔ multiplying
✔ 4.2
Step-by-step explanation:
Took quiz
The value of a television t years
after its purchase is modeled by the
exponential function ƒ(t) =
1500(0.83)t. Which best describes
the domain and range of this
exponential function?
Step-by-step explanation:
hope you anderstand
if that's the answer can you brainliest me please thank you
Suppose you roll a special 9-sided die. What is the probability that the number rolled is a "1" OR a "2"?
Answer:
P(1 or 2) = 2/9
Step-by-step explanation:
OR means we add each probability
If it is 9-sided, I will assume the die will be numbered 1-9
Probability of getting a 1 in mathematical notation is:
P(1) = 1/9
Probability of getting 2:
P(2) = 1/9
We add their probabilities since we want to know if we get either 1 or 2
P(1) + P(2) = 1/9 + 1/9 = 2/9
If the question asked what the probability was of getting a 1 and a 2 by rolling the die twice, we would multiply the probabilities together
1/9 x 1/9 = 1/81
I need helppppppp :((
Answer:
H x/10 = 18/8
Step-by-step explanation:
The fact that DE is parallel to CB means DE divides AC in the same proportion that it divides AB. This fact can be used to write a proportion to find x.
__
[tex]\dfrac{\overline{DC}}{\overline{AD}}=\dfrac{\overline{EB}}{\overline{AE}}\\\\\boxed{\dfrac{x}{10}=\dfrac{18}{8}}\qquad\text{matches choice }\textbf{H}[/tex]
_____
Additional comment
The values used in the other answer ratios are not "corresponding."
Answer:
H
Step-by-step explanation:
∠ADE is a scaled version of ∠ ABC.
So,
18:8
and
10:x
Ratios can be expressed as fractions:
[tex]\frac{8}{18}[/tex] and [tex]\frac{x}{10}[/tex].
Since the scale factor is the same,8/18 has to be the same as 10/x.
Therefore,[tex]\frac{8}{18}[/tex]=[tex]\frac{x}{10}[/tex].
Hope this helps!!!
Please mark me as brainliest!!!
This took a lot of effort.
Are EFG and HIJ similar
Answer:
Angle E equals 45 degrees and angle J equals 35 degrees.
If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.
Hope it helps, have a fantastic day.
Step-by-step explanation:
We all know from geometry that all the angles of a triangle add up to 180 degrees.
We can form the following equation:
[tex]100 + 35 + E = 180[/tex]
[tex]E[/tex] here represents the measure of angle E.
Add together like terms:
[tex]135 +E = 180[/tex]
Then subtract 135 from both sides:
[tex]E = 45[/tex]
We can, likewise, form another equation for angle J :
[tex]100 + 45 + J = 180[/tex]
Add together like terms:
[tex]145 +J = 180[/tex]
Then subtract 145 from both sides:
[tex]J = 35[/tex]
Angle E equals 45 degrees and angle J equals 35 degrees.
If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.
Ben tracked the attendance in his class over a period of time and recorded the data in a frequency table.
Create a dot plot for the data in the table. Hover over each number on the number line. Then click and drag up to create the dots
A dot plot for the attendance in Ben's class over a period of time is shown in the image attached below.
What is a dot plot?A dot plot can be defined as a type of line plot that is used to graphically represent a data set above a number line, especially through the use of dots.
In this scenario, a dot plot for the attendance in Ben's class over a period of time would be plotted as shown in the image attached below.
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What is the discriminant of the polynomial below?
4x² + 4x+1
Discriminant means that delta=b^2-4ac
(4)^2-4(4)(1)=0
If the discriminant is equal to 0, the quadratic equation has 1 real solution.
What is the area of the circle?
Answer:
530.93
Step-by-step explanation:
area of a circle = πr²
where r = radius
here we are given the diameter
to convert to radius , we divide by 2
so radius = 26 / 2 = 13
so we have A = πr²
==> plug in r = 13
A = π13²
==> evaluate exponent
A = 169π
==> multiply 169 and π
A = 530.93 ( approximately )
