Let f(x)=3x^2+2.
The equation g(x) is f(x) translated up 5 units.
What is the equation of g(x)?
Answers
Answer:
g(x) = 3x² + 7
Explanation:
Here the f(x) is translated up 5 units, so we shall increase y axis by + 5
so new equation: g(x) = 3x² + 2 + 5 ➛ g(x) = 3x² + 7
check the image given below. The red line is f(x) and blue line g(x)
Answer:
g(x) = 3x² + 7
Step-by-step explanation:
If a function is translated 5 units up then:
g(x) = f(x) + 5
⇒ g(x) = 3x² + 2 + 5
⇒ g(x) = 3x² + 7
Related Questions
Solve the equation 4x+1=3 without a calculator, using either a table or a graph. (Find what x equals).
Answers
Answer:
Fraction form:
x = 1/2
Decimal form:
x = 0.5
Graph:
Answer:
x=1/2 or x=0.5
Step-by-step explanation:
4x+1=3
1. subtract 1 from each side
4x=2
2. divide by 4
x=1/2 or x=0.5
Hope this helps have a great day!!!!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.
How many angles are alternate exterior angles with angle 5?
Answers
The angles that are alternate exterior angles with angle 5 are <3 and <13 and <9
What are alternate exterior angles?Alternate exterior angles are two angles that are on the exterior of and , but on opposite sides of the transversal
Conversely, if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.
According to the theorem above, we can conclude that the angles that are alternate exterior angles with angle 5 are <3 and <13 and <9
Learn more on alternate exterior here: https://brainly.com/question/11397920
please solve the following, many thanks!!
Answers
Answer:
54
Step-by-step explanation:
24+24+6
8x6 / 2 = 48/2 = 24
4x6=24
3x4 / 2 = 12/2 =6
Sample space— is the _____of all the _____ in the probability experiment
Answers
Answer:
The set of all the possible outcomes is called the sample space of the experiment
hey can y’all help me with this question from grad point ?? it’s so hard
Answers
Answer:
the answer is number is the last one
7. MP Make a Conjecture A figure has a vertex at the point (-4,-6). The
figure is dilated with the center at the origin with a scale factor of 5. The
resulting image is then dilated with a scale factor of
a. What are the coordinates of the vertex in the final image?
Answers
Answer: (-14, 18)
Step-by-step explanation:
71.2% of 722.69 what is this
Answers
Answer:
514.5552
Step-by-step explanation:
:)
Answer:
514.55528
Step-by-step explanation:
that what 71.2% of 722.69 is it is 514.55528
Shana inherited land from her late grandmother. The land originally cost $25,000 when
her grandfather had purchased it in 1945. If the value of the land increased by about 5%
annually, how much did it cost in 2015?
Answers
Answer:
760660.638388
Rounded: 760660.64
Step-by-step explanation:
You can use an exponential function. that would be a(b)^x or 25000(1.05)^x
From 1945 to 2015 there is a 70-year gap, so you would substitute 70 for x. That would get you 760660.638388, so in 2015, the value of the land would be 760660.64 if you round up.
Answer: $760,660.64
Step-by-step explanation:
Just did the test
A 7th grade homeroom was asked if they would
prefer a hamburger, pizza, or hot dog. Calculate
the relative frequency ( or experimental
probability) of choosing a hot dog using this
chart.
12%
20%
16.7%
1.66 %
Answers
The probability of choosing a hot dog is 16.7%
Relative frequency and probabilityProbability is the likelihood or chance that an event will occur
Probability = Expected outcome/Total outcome
From the figure;
Total outcome = 4 + 6 + 2
Total outcome = 12
Since there are 2 hotdogs, hence the probability of choosing a hot dog is given as:
Pr(hot dog) = 2/12
Pr(hot dog) = 0.1667
Hence the probability of choosing a hot dog is 16.7%
Learn more on probability here: https://brainly.com/question/24756209
lines a and b are parallel
what is the measurement of angle s?
Answers
Answer:
22 degrees
Step-by-step explanation:
158 x 2 is 316
360 - 316 = 44
44 / 2 = 22
and both are the same angles for each set of angles.
If you have3/12 of an orange how many fourths do you have?
Answers
Answer:
1/4
Step-by-step explanation:
A good way to explain this is if you have a bar split into fourths you are able to split each part into three parts making them twelfths
3/12 divided by 3 = 1/4 1 times 3 = 3
3 times 4 = 12
what are the names to these quadrilaterals
Answers
Answer:
The top left one is a pentagon, the lower left is a quadrilateral, the top right is a rhombus, and the bottom left is a parallelogram.
Step-by-step explanation:
Answer:
From left to right:
pentagon
quadrilateral
rhombus
parallelogram
Step-by-step explanation:
From left to right:
First polygon:
5 sides, pentagon. This pentagon has two sets of congruent sides, but there is no special name for it.
Second polygon:
4 sides, quadrilateral. This quadrilateral has 3 congruent sides, but there is no special name for it.
Third polygon:
4 sides, quadrilateral. All sides are congruent. It is a rhombus. A rhombus is also a parallelogram.
Fourth polygon:
4 sides, quadrilateral. There are two pairs of congruent sides. It is a parallelogram.
Bill is twice as old as Adam
Charlie is 3 years younger than Bill
The sum of their three ages is 27
Find the ratio of Adam's age to Charlie's age, giving your answer in the form 1:n
Answers
Answer:
[tex] \frac{1}{1.5} [/tex]
Step-by-step explanation:
Let B represent Bill age
A be adam age
C be charlie age
We know that
[tex]b = 2a[/tex]
We also know that
[tex]c = b - 3[/tex]
And we know that
[tex]a + b + c = 27[/tex]
Fist let subsitue c for b-3
[tex]a + b + (b - 3) = 27[/tex]
[tex]a + 2b - 3 = 27[/tex]
[tex]a + 2b = 30[/tex]
We know that b=2a so
[tex]a + 2(2a) = 30[/tex]
[tex]a + 4a = 30[/tex]
[tex]5a = 30[/tex]
[tex]a = 6[/tex]
Plug that in first equation to solve for b
[tex]b = 2(6)[/tex]
[tex]b = 12[/tex]
Finally plug that in the final equation to solve for c.
[tex]6 + 12 + c = 27[/tex]
[tex]c = 9[/tex]
Know we want the ratio of Adam age, a to Charlie age, c.
So we have
[tex] \frac{6}{9} = \frac{2}{3} = \frac{1}{1.5} [/tex]
Cottage cheese is being sold in different size containers. The sizes and prices are given below: 4 - 5 ounce containers for $5. 00 1 - 12 ounce container for $3. 24 1 - 16 ounce container for $4. 19 Which container is the better buy? a. The 5 ounce container is the better buy. B. The 12 ounce container is the better buy. C. The 16ounce container is the better buy. D. The containers have the same unit price.
Answers
Division is the process of finding the number of times a number is multiplied by itself. The 16-ounce container is the better buy.
What is Division?
The division is the process of finding the number of times a number is multiplied by itself.
The prices of the different size containers are given to us,
4-5 ounce containers for $5. 00
1-12 ounce container for $3. 24
1-16 ounce container for $4. 19
Now, find the cost of the cheese per ounce when we buy the minimum cheese and when we but the maximum amount of cheese.
1. For the first Container, 4-5 ounce containers for $5.00
If we buy 4 ounces of cheese, then the cost of each ounce of cheese will be $1.25 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $1.
2. For, the second container, 1-12 ounce container for $3.24
If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $3.24 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $0.27.
3. For, the third container, 1-16 ounce container for $4.19.
If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $4.19 for each ounce, while if we buy the maximum amount of cheese therefore 16 ounces for $4.19 then the cost of each ounce of cheese will be $0.26.
Thus, if we buy the maximum amount of cheese from each of the boxes, the third box will be the cheapest.
Hence, The 16-ounce container is the better buy.
Learn more about Division:
https://brainly.com/question/369266
1. A bottling company uses a machine to fill the bottles with olive oil. These bottles are
designed to contain 475 millilitres (ml). In fact, the contents vary according to a normal
distribution with a mean of 473 ml and standard deviation of 3 ml. A) What is the distribution, mean, and standard error of the sample mean of six randomly
selected bottles?
Answers
Using the Central Limit Theorem, it is found that the distribution of the sample mean of six randomly selected bottles is approximately normal, with mean 473 ml and standard error of 1.22 ml.
Central Limit TheoremThe Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, for the population, we have that:
[tex]\mu = 473, \sigma = 3[/tex]
Then, for the sample of n = 6:
[tex]s = \frac{3}{\sqrt{6}} = 1.22[/tex]
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
5 4/7 + 3 13/21
Enter your answer as a mixed number in simplest form
Answers
Answer:
9 1/7
Take 5 4/7 + 3 13/21 and get 9 1/7
Two congruent squares and a parallelogram were used to form the figure shown.
3 m; 2.8 m; 6 m; 3 m.
What is the area of the figure in square meters?
25.8 m2
40.8 m2
34.8 m2
28.8 m2
Answers
Answer:
the answer is 40.8 m2
Step-by-step explanation:
The area of a figure is the amount of space the figure occupies
The surface area of the figure is 34.8 square meters
How to determine the area of the shape
From the question, we have:
The dimensions of the congruent squares are 3 m by 3 m
The dimensions of the parallelogram are height of 2.8 m, and base of 6 m
So, the area of the figure is:
Area = 2 * Area of square + Area of parallelogram
This gives
Evaluate the products
Evaluate the sum
Hence, the surface area of the figure is 34.8 square meters
Read more about surface areas at:
brainly.com/question/24571594
so the answer is 40.8 m2
The area of a figure is the amount of space the figure occupies
Hence, The surface area of the figure is 34.8 square meters
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, From the question, we have:
The dimensions of the congruent squares are 3 m by 3 m
The dimensions of the parallelogram are height of 2.8 m, and base of 6 m
So, the area of the figure is:
Area = 2 × Area of square + Area of parallelogram
This gives;
Area = 2 × 3 × 3 + 2.8 × 6
Area = 18 + 16.8
Area = 34.8 m²
Hence, The surface area of the figure is. 34.8 square meters
Learn more about surface areas at:
brainly.com/question/24571594
#SPJ3
How many pounds of $2. 4/lb trail mix should a grocer combine with 5 lb of $1. 5/lb trail mix to get $1. 9/lb trail mix?
ANSWER IN POUNDS PLEASE I BEG YOU!!!!
WILL MARK BRAINLIEST
Answers
By solving a linear equation, we can see that you should use 4lb of the $2.4/lb mix.
How much of each mixture should you use?
First, if you use x pounds of the $2.4/lb mix, the total mass of mixture that you will have is:
(x + 5lb).
And that mass must cost $1.5/lb, so the costs on the left side must be equivalent to the cost on the right side.
x*$2.4/lb + 5lb*($1.5/lb) = (x + 5lb)$1.9/lb
Now we need to solve this for x
x*$2.4/lb + 5lb*($1.5/lb) = x*$1.9/lb + 5lb*$1.9/lb
x*$2.4/lb - x*$1.9/lb = 5lb*$1.9/lb - 5lb*($1.5/lb)
x*$0.5/lb = $2
x = $2/($0.5/lb) = 4lb
You should use 4lb of the $2.4/lb mix.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
Two number cubes are rolled. What is the
probability that the sum of the numbers rolled is
either a 4 or a 10?
INI
1
2
3
First Number Cube
Second Number Cube
1 2 3 4 5 6
1.1 1.2 1.3 1.4 1.5 1.6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,64
6,5 6,6
O 5/36
O 3/12
O 1/12
O 1/6
Answers
Answer:
1/6
Step-by-step explanation:
Since it's a OR statement, find a probability of each event and add
Another way would be count the ones that give u the sum of 4 and 10 which I got 6.
Total number of outcomes is 36.
So 6/36 = 1/6
If 2a , 3a , 4a and 6a are the angles of a quadrilateral , Find them .
i need answer of 1. d no
step by step
process by process
who will give correct answer
i will make him/her as a brainlists
Answers
Step-by-step explanation:
sum of angle of quadrilateral is 360°
so,
2a+3a+4a+6a=360°
15a=360°
a = 360°/15= 24°
Now,
2a= 2×24=48
3a=3×24=74
4a=4×24=96
6a=6×24=120
Question 1 options:
In the diagram, ∆UVW~∆XYW. Use similarity criteria for triangles to determine the height of the tree. Then fill in the blank:
h = _____ ft (Answer with numbers only.)
Answers
Answer:
Step-by-step explanation:
In similar triangles, corresponding parts are in same ratio.
[tex]\dfrac{h}{40}=\dfrac{5}{8}\\\\\\h=\dfrac{5}{8}*40\\\\\\ = 5*5\\\\h = 25 \ ft[/tex]
8 apples cost $1.44 how mucho is 1 cost
Answers
Answer:
$0.18
Step-by-step explanation:
apple(s) : price
8 : $1.44
4 : $0.72
2 : $0.36
1 : $0.18
Help it’s due by the end of class today Please help
Answers
Answer:
A=54
Step-by-step explanation:
What is the area of the trapezoid? 6 feet 8 feet 10 feet © 60 f12 80 ft2 (64 ft? 24 ft2
Answers
Answer:
A=70
Step-by-step explanation:
[tex]A=\frac{a+b}{2}[/tex]
[tex]h=\frac{6+8}{2} *10[/tex]
[tex]=70[/tex]
The following question find the value of the variables. If your answer is not an integer leave it in simplest radical form
The triangle is not drawn to scale.
Ox=1013, y = 30
Ox= 10, y = 30,13
Ox= 30/3, y= 10
Ox= 30, y = 10.73
Answers
Answer:
option 4
Step-by-step explanation:
using the sine/ cosine ratios in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 20[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 20 × 3 = 60 ( divide both sides by 2 )
x = 30
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{3} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
y = 10[tex]\sqrt{3}[/tex]
A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doing: reading a book, watching television, playing video games, or listening to music. The results are displayed in the circle graph below.
How many teenagers chose listening to music?
a. 40
b. 50
c. 45
d. 35
Answers
Answer:
d
Step-by-step explanation:
28÷100×125=35
hope it helps
Answer:
35
Step-by-step explanation:
28% of 125=35
16% of 125=20
32% of 125=40
24% of 125=30
which one is it ?? The _____ is the vertical line on the coordinate grid.
Group of answer choices
line graph
line plot
x-axis
y-axis
Answers
Which of the following inequalities matches the graph?
Answers
Answer:
the answer would be answer B
On Nick's playlist, 5/12 of the songs are pop. What fraction of the
songs, n, are NOT pop?
How can you draw a picture and write an equation to
represent the problem?
Answers
Answer:
7/12
Step-by-step explanation:
Draw a rectangle with 12 squares. 5 of them will be pop and 7 will not.
The equation will be 12/12 = 5/12 + n. You will subtract 5/12 from each side and get 7/12 = n.
a family buys 5 airline tickets online. The family buys travel insurance that costs $17 per ticket. The total cost is $1,495. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answers
Answer:
$282
Step-by-step explanation:
The price per ticket can be found by dividing the total cost by the number of tickets, then subtracting the value of any per-ticket add-ons.
5(x +17) = 1495 . . . . . total cost of 5 tickets with 17 per ticket ins charge
x +17 = 299 . . . . . . divide by 5
x = 282 . . . . . . . price of 1 ticket
The price of one ticket is $282.