Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below I can't figure this out. Does anyone have a way to explain this to me?
Answers
Answer:
7
down
3x-6
Step-by-step explanation:
g(x)=3x-6
f(x)=3x+1
Thus, g(x) is just f(x)-7
Hope it helps <3
Graph g(x) is the graph of f(x) translated 6 units downwards and g(x) = 3x - 5
Transformations of a function,If a function 'f' is shifted by 'h' units left and 'k' units down, image function g(x) will be given by,g(x) = f(x + h) - k
Given function in the question is → f(x) = 3x + 1
From the graph attached,
Let the equation of the line is,
y = mx + b
Here, m = Slope of the line
b = y-intercept
Since, slope of the line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Therefore, slope of the line passing through (0, -5) and (3, 4) will be,
\(m=\frac{4+5}{3-0}\)
\(m=3\)
\(\text{y-intercept} = b=-5\)
Equation of the line will be,
\(y=3x-5\)
And the function will be,
g(x) = 3x - 5
By comparing both the functions,
g(x) = f(x) - 6
Therefore, graph g(x) is the graph of f(x) translated 6 units downwards and g(x) = 3x - 5
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Related Questions
what point below is the solution to the expression 2x+y=12
A) (4,2) C) (8,-1)
B) (3,6) D) (0,6)
Answers
Answer:
Step-by-step explanation:
It's B.
Let's rewrite the expression like this :
2x+y=12 ⇒ y=12-2x
and try given values for x :
if x=4 ⇒ y=12-(2×4)=12-8=4 ( so it is not 2 ) ⇒ wrong if x=3 ⇒ y=12-(2×3)=12-6=6 (it is 6) ⇒ right if x=8 ⇒ y=12-(2×8)=12-16=-4 (so it is not -1) ⇒ wrong if x=0 ⇒ y=12-(2×0)=12-0=12 (so it is not 6) ⇒ wrongDrag and drop one set of parentheses into the expression below so that it's value when simplified is 31. Where would these ( ) go? _2_*4^2_+_square root36_-_13_
Answers
Answer:
2 * (4^2 + squared root of 36) - 13
since the space where the _ are, that's where the parenthyeses would be placed. If you place these around 2, you get 25, is around 4^2, it's also 25, if placed around square root of 36, it will also be 25, but if placed around -13, it's -46. But place then around 4^2 + the square root of 36, then you will get your answer of 31 simplified.
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.
What are the values a, b, and c in the following quadratic equation?
−6x2 − 8x + 12 = 0
a = −6, b = −8, c = 12
a = 6, b = 8, c = 12
a = 8, b = 12, c = 0
a = −8, b = 12, c = 0
Answers
Answer: A!
Step-by-step explanation: The quadratic formula is ax2+bx+c, so you just plug in and see which ones go with the equation, a=-6 (-6x2) b=-8 (+-8 or -8) and c=12 (+12) Hope this helps
64068 - X divided by 74 What is the SMALLEST possible answer?
Answers
Answer:
23421
Step-by-step explanation
x = 32094 divided by 74 = 12.0932 so 64068 - 12.0932 = 64055.9068
good luck
Answer:
Already have the answer, but its 23421.
Step-by-step explanation:
\(3a-4\leq5\)
Answers
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
Darcy likes to eat peanut butter and raisins on apple slices. On each apple slice, she puts 1/16 cup of peanut butter and 8 raisins. Darcy has 2/5 cups of peanut butter and 80 raisins. She eats a whole number of apple slices until the peanut butter is all gone. What fraction of the 80 raisins did she eat? Enter the fraction in the response box.
Answers
The shirts available in a clothing store are sizes S, M, and L. A total of 240 shirts are sold in a day. 20% of the shirts are of size S and 45% are size M. Find the number of shirts sold for each of the sizes.
Answers
Answer: L 38
Step-by-step explanation:
total 84
Answer: 48 small shirts
108 medium shirts
84 Large shirts
Step-by-step explanation:
20% of 240 = 48
45% pf 240 = 108
45 + 20 = 65, 100 - 65 = 35
35% of 240 = 84
And 48 + 108 + 84 = 240
On a piece of paper, graph y = 2x - 4. Then determine which answer matches
the graph you drew.
Answers
Answer:
Step-by-step explanation:
The graph which matches the equation y = - 2x - 4 is the graph drawn in the option B.
The equation is written in slope - intercept form such that :
The slope = - 2 The intercept = - 4This means that the slope of the graph is negative and the trend line crosses the y - axis at - 4.
Only the graph in option B has a negative slope and its intercept at negative 4
Therefore, the appropriate option is the graph B.
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Consider that ALMN is similar to APQR and the measure of ZP is 80°. What is the measure of 2L?
A) 20
B) 70
C) 80
D) 90
Answers
Answer:
80°
Step-by-step explanation:
as ALMN is similar to APQR thus L and P are similar too.measure of ZP =80° i.e. 80 ÷2 = 40° for each Z and P.now P =40° (so L =40° ) , then 2L = 2 × 40° = 80°Use the best-fit line below to predict the value of y when x = 7
Answers
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
1. What is the distance between the points (4,-7) and (-5,-7)?
A. 1 unit B. 3 units C. 7 units D. 9 units.
2. Fill in the blanks. Write the coordinates of two points that are the given distance from these points and horizontal/vertical:
2. 5 units from (-1,-2) ( ,-2 and ( ,-2)
3. 8 units from (2,4) (2, ) and (2, )
4. 3 units from (-7,-5) (-7, ) and (-7, )
5. 6 units from (4,-1) (4, ) and (4, )
6. 10 units from (-1,9) ( ,9) and ( ,9)
7. 7 units from (-3,2) ( ,2) and ( ,2)
Answers
Answer:D. 9 units 2. (-6,-
Step-by-step explanation:What is the distance between the points (4,-7) and (-5,-7)? A. 1 unit B. 3 units C. 7 units D. 9 units. 2. Fill in the blanks. Write the coordinates of two points that are the given distance from these points and horizontal/vertical: 2. 5 units from (-1,-2) ( ,-2 and ( ,-2) 3. 8 units from (2,4) (2, ) and (2, ) 4. 3 units from (-7,-5) (-7, ) and (-7, ) 5. 6 units from (4,-1) (4, ) and (4, ) 6. 10 units from (-1,9) ( ,9) and ( ,9) 7. 7 units from (-3,2) ( ,2) and ( ,2)
Answer:
1. D
Step-by-step explanation:
You can add the X coordinates together and you will get the length (sorry I can't answer the others ones I don't have enough time rn)
tyler saves 17% of his income and he makes $4300 a month. how much will he save?
Answers
Answer:
25294.1176471
Step-by-step explanation: :)
Answer:
He will have $731
Sorry if somebody already said this :(
Step-by-step explanation:
Find the percent equivalent to 18 over 30.
Answers 39% 56% 60% 66%
PLEASE HELP NOW
Answers
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
To find the value of a fraction as a percent we can divide the numerator by the denominator and then multiply that by 100.
\(\frac{18}{30}= \frac{3}{5} = 0.6\)
0.6 x 100= 60
Therefore 18/30= 60%
The table shows the relationship between the number of minutes and the gallons of water pumped out on the black hole write an expression to determine the number of gallons pumped out for any number of minutes.
*this is due monday; february 27*
Answers
Answer:
m × 1,000 =
Step-by-step explanation:
Step 1:Figure out the pattern(see what is common)
Step 2:Divide 3,000 by 3 to get a quotient of 1,000
Step 3:Multiply each number of minutes(m) by 1,000 to check .
Victoria has 21 seashells Kim has twice as many Seashells as Victoria how many seashells does Kim have
Answers
Answer:
42
Step-by-step explanation:
21x21 there you go marke me as brilliant
if you rolled two dice what is the probability that you would roll a sum of 10
Answers
The probability of rolling a sum of 10 with two dice is 1/12.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
Given that two dice are rolled and find the probability of a sum of 10.
The sample space of the event of rolling two dice is
S = {(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, 6)}
The total possible outcomes is 36.
The favorable outcomes that is the outcomes where the sum is 10 is
(1, 4), (2, 3), (3, 2).
The number of favorable outcomes are 3.
To find the probability of rolling a sum of 10 with two dice, write the sample space and then determine the number of favorable outcomes that is the outcomes where the sum is 10 and the total number of possible outcomes.
The formula to find out the probability of any event is:
\(\text{P(event)} = \dfrac{(\text{number of favorable outcomes})}{\text{total number of possible outcomes}}\)
By using the data and formula, the probability of rolling a sum of 10 is,
\(\text{P(event)} = \dfrac{(\text{number of favorable outcomes})}{\text{total number of possible outcomes}}\)
\(\text{P(rolling a sum of 10)} = \dfrac{3}{36}\)
On dividing both numerator and denominator by 3 gives,
\(\text{P(rolling a sum of 10)} = \dfrac{1}{12}\)
Hence, the required probability of rolling a sum of 10 with two dice is 1/12.
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The probability that you would roll a sum of 10 if you rolled two dice is 1/12.
We need to consider all the possible outcomes and count the favorable outcomes to determine the probability of rolling a sum of 10 when rolling two dice.
When rolling two dice, each die has six possible outcomes, ranging from 1 to 6. To find the total number of outcomes, we multiply the number of outcomes for each die: 6 * 6 = 36.
Next, we need to count the number of favorable outcomes, which are the combinations of two dice that result in a sum of 10. These combinations include:
1. Rolling a 4 on the first die and a 6 on the second die: (4, 6)
2. Rolling a 5 on the first die and a 5 on the second die: (5, 5)
3. Rolling a 6 on the first die and a 4 on the second die: (6, 4)
There are three favorable outcomes.
Therefore, the probability of rolling a sum of 10 when rolling two dice is:
Probability = (Number of favorable outcomes) / (Number of total outcomes) = 3/36 = 1/12.
Hence, the probability is 1/12.
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look at the photo to understand the question that I need answered is question 2
Answers
Answer: The two models are the same because they are both rectangles.
They are different because the second ones are is double that of the first one
Derek gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks cost the same amount.
What is the cost in dollars and cents for each pair of socks?
Answers
$14.97 / 3 = $4.99
Each pair of socks costs $4.99.
question : ill mark brainlist
3. The ______ projection shows the size and shape of continents accurately but distorts water areas.
A. Conic
B. Mercator
C. Robinson
D. Interrupted
Answers
The correct answer is A. Conic projection.
A conic projection is a type of map projection created by projecting the surface of a globe onto a cone. The cone is then unrolled and flattened to create a two-dimensional map. Conic projections are best for mapping small areas, such as individual countries or states. They are also good for mapping areas that are located near the equator.
Conic projections show the size and shape of continents accurately, but they distort water areas. This is because the cone is tangent to the globe at one point, and the further away from that point you get, the more distortion there is.
Mercator projection is a cylindrical map projection presented by Flemish geographer and cartographer Gerardus Mercator in 1569. It became the standard map projection for navigation because it is unique in representing north as up and south as down everywhere while preserving local directions and shapes. The map is thereby conformal. As a side effect, the Mercator projection inflates the size of objects away from the equator. This inflation is very small near the equator but accelerates with increasing latitude to become infinite at the poles.
Robinson projection is a map projection presented by American cartographer Arthur H. Robinson in 1963. It is a compromise projection that attempts to balance the distortions of area, shape, and distance. The Robinson projection is neither conformal nor equal-area, but it is pseudocylindrical, which means that the meridians are straight lines and the parallels are circles.
Interrupted projection is a type of map projection that is interrupted at regular intervals. This is done to reduce the distortion of the map. The most common type of interrupted projection is the Mercator projection, which is interrupted at the equator and the prime meridian
hey can you please answer this question on 7th grade exponents? thank you! boo
Answers
PLEASE HELP THE WORKSHEET IS: graphing speed.
I WILL GIVE 100 POINTS!!! ITS SCEINCE MIDDLE SCHOOL!!!
Analysis and Conclusion
1. Which task and distance resulted in the fastest speed?
2. Create a graph to show your fastest speed, using the times for 0, 5, and 10 meters.
3. Which task and distance resulted in the slowest speed?
4. Create a graph to show your slowest speed, using the times for 0, 5, and 10 meters.
Answers
Task 1: Walking 10 meters
Times:
0 meters: 0 seconds
5 meters: 7 seconds
10 meters: 15 seconds
Graph for fastest speed (walking 10 meters): As time increases from 0 to 15 seconds, distance increases linearly from 0 to 10 meters.
Distance (meters)
^
|
10 \\
| |\
5 / |
| / |
0 /
0 5 15
Time (seconds)
Task 2: Crawling 5 meters
Times:
0 meters: 0 seconds
5 meters: 25 seconds
10 meters: 50 seconds
Graph for slowest speed (crawling 5 meters):
Distance (meters)
^
|
10
/|
/ |
5/|
/ |
0
0 25 50
Time (seconds)
Find the surface area of a top open cylinder
12 in radius
2 in height
Answers
The surface area of the top open cylinder is 6810.149 sq.cm.
A cylinder is a three-dimensional solid that consists of two congruent surfaces (bases) and one lateral surface.
Surface area of a cylinder = Base area + Lateral area
Base area of a cylinder = 2 × π × r²
Lateral area of a cylinder = (2 × π × r) × h
Therefore, here base area of a cylinder = 2× π × 12²
= 5837.27 sq.cm.
And, lateral area of a cylinder = (2 × π × 12) × 2
= 972.8784 sq.cm.
Therefore, total surface area of a cylinder = 5837.27 + 972.8784
= 6810.149 sq.cm.
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still stuck wth...........
Answers
Wat is the product of 8/9 and 2/7
Answers
Answer:
16/63
Step-by-step explanation:
Given problem,
→ (8/9) × (2/7)
Let's solve the problem,
→ (8/9) × (2/7)
→ (8 × 2)/(9 × 7)
→ 16/63
Hence, answer is 16/63.
6^{2} + b^{2} = 8^{2}
Answers
Answer:
-{2√7} or {2√7}
Step-by-step explanation:
1) Simplify the exponents 6^2 and 8^2 by multiplying 6*6=36 and 8*8=64.
2) Write an equation, 36+b^2=64
3) Subtract 36 from both sides, b^2=28
4) Apply a square root to both sides, √(b^2)=√(28)
5) Simplify the equation, b=-√(28) or b=√28
6) If you want, factor the square root by finding a factor that is a square number, -{√(4)*√7} or {√(4)*√7}; -{2√7} or {2√7}
36+ b^2 = 64
64-36=28
__
_/28
5.3~~ approximately
Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?
A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft
Answers
Answer:
D
Step-by-step explanation:
just multiply the three over four inches with seven and a half to get the accurate measurements
What do they call bowling in Hawaii? Be sure to include the answers to the worksheet.
Answers
Answer:
bowling
Step-by-step explanation:
IF U HELP ME I WILL GIVE YOU A BRAINLIEST
Amy has to write a paper for school that has more than 3,315 words. She has already written 1,222 words and writes at a rate of 299 words per day. Which of the following inequalities could be used to solve for x, the number of days it will take Amy to finish her paper?
A. 299x > 3,315
B. 299x > 1,222
C. 299x + 1,222 > 3,315
D. 299x - 1,222 > 3,315
Answers
Hope I helped
Answer:
I think its C
Step-by-step explanation:
A spinner has four equal sections, with one letter from the word “MATH” in each section.
You spin the spinner 80 times.
About how many times do you expect it will land on something other than "A"
Answers
explanation: this is like rolling dice but there’s only 4 possibilities so you divide the 80 by 4 since you have 25% of landing on each letter