function g is a transformation of function f using a horizontal shift 3 units left and vertical compression by a factor of 1/2 . plot the corresponding point on function g.
Answers
9514 1404 393
Answer:
g(x) = x + 1
Step-by-step explanation:
The transformation "shift left 3 units" is accomplished by replacing x in the function definition by x+3.
F(x) is defined as ...
f(x) = 2x -4
Then the left shift gives ...
f(x +3) = 2(x +3) -4 = 2x +2
__
The transformation "vertical compression by a factor of 1/2" is accomplished by multiplying the function by 1/2.
g(x) = 1/2f(x +3) = (1/2)(2x +2)
g(x) = x +1
__
In the attached, we wanted to show where the table points would end up if they were shifted left 3, then moved half their vertical distance toward the x-axis (compression by 1/2). Doing that, the points in the first table become the points in the second table. This is different from what you get when you simply substitute the same values of x into the new function g.
Consider, for instance, the bottom left point on the red graph. When it is moved 3 left, its coordinates are (-3, -4). When the y-coordinate is cut in half, its new location is (-3, -2), the bottom left point on the blue graph.
Related Questions
solve x + 1 > 3. graph the solution. can someone help me out??
Answers
Answer:
x>2
Step-by-step explanation:
x+1>3
x>3-1
x>2
I hope this helps
The diagram shows a rhombus inside a regular hexagon
Work out the size of x
Answers
Answer:
add a picture
Step-by-step explanation:
Give the ordered pair of the 3rd Critical point.
Y = 4cos10(x - 12°) +16
Answers
When you solve x^2 - 8x + 7 = 0 what is the last step of the equation
before you simplify to get the two answers? *
O x = -4 13
O x = 3 + 4
O x = 4 + 3
Answers
Answer:
x = 1 and x = 7
Step-by-step explanation:
The given equation is [tex]x^2 - 8x + 7 = 0[/tex].
We need to solve the equation.
It is a quadratic equation whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = 1, b = -8 and c = 7
Put values,
[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]
So, the values of x are x = 1 and x = 7.
So who’s tryna help me ☝
Answers
Answer:
4
Step-by-step explanation:
5+3=8 and 5-3=2 which is 8/2=4
Answer: 4
1. Simplify 5 + 3 to 8.
8 / 5 - 3
2. Simplify 5 - 3 to 2.
8 / 2
3. Simplify.
4
a lorry is travelling at 13.5m/s along a stretch of road
Answers
Answer:
Proved
Step-by-step explanation:
This question is incomplete. The complete details are:
[tex]v = 13.5m/s[/tex] --- speed of the lorry
[tex]v_2 =50km/h[/tex] --- speed limit on the road
Required
Prove that the lorry is within the speed limit
To do this, we simply convert the speed of the lorry to km/h.
So, we have:
[tex]v = 13.5m/s[/tex]
[tex]1m = 0.001km[/tex]
and
[tex]1s = \frac{1}{3600}h[/tex]
So, the expression becomes:
[tex]v = \frac{13.5 * 0.001km}{1/3600h}[/tex]
[tex]v = \frac{0.0135km}{1/3600h}[/tex]
Rewrite as:
[tex]v = 0.0135km/h * 3600[/tex]
[tex]v = 48.6km/h[/tex]
48.6km/h is less than 50km/h (the speed limit).
Hence, the lorry is within the speed limit.
I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY!!! Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, 3), B(-3, 3), C(-3, 6), and D(-8, 6)
What is the area of rectangle ABCD
Answers
Answer:
15 square units
Step-by-step explanation:
find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression.
Answers
Answer:
1. The greatest common monomial factor is xy
2. xy(6 + 2y² + 3x²)
Step-by-step explanation:
6xy + 2xy³+ 3x³y
1. Determination of the greatest common monomial (GCM) factor.
6xy + 2xy³+ 3x³y
6xy => 2 × 3 × x × y
2xy³ = 2 × x × y × y × y
3x³y = 3 × x × x × x × y
GCM => xy
2. Rewrite the expression
6xy + 2xy³+ 3x³y
GCM => xy
6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)
First answer gets brainest. 8th grade math root question
Answers
Answer:
9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
Square Rooting is basically going down to the origins of the number, trying to figure out what times (x) would give you your current number. In order it get 81, you would need to do 9*9, therefore making the square root 9
13. Find the measure of angle ABC. B 8x 6x 6x A С
Answers
Angle A = 54 degree
Angle B = 72 degree
Angle C = 54 degree
ExplainIt is a triangle, so the total of angle is 180 degree
Find X
8x + 6x + 6x = 180
20x = 180
x = 180/20
x = 9°
Value of x is 9°
Substitute a score of x for every angle =
Angle A
= 6x
= 6(9)
= 54°
Angle B
= 8x
= 8(9)
= 72°
Angle C
= 6x
= 6(9)
= 54°
#LearnWithBrainly
Which choice is equivalent to the fraction below?
5/16
O A. 5.16
O B. 5 divided 16
O C. 5-16
O D. 16 divided 5
Answers
Answer:
I think A
Step-by-step explanation:
But im not sure
solve for x using the quadratic formula. x^2+9x+20=0
Answers
Answer: x= -4,-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
I can help
Step 1
factor the left sides of the equation
Then you will get (x+4)(x+5)=0
Step 2
You will have to set the factors equal to 0
x=-4 or x=-5
Hope this helped
Please help me on this question! And explain how you got your answer please!
Answers
Answer:
she has a total of 140 coins
Step-by-step explanation:
x is coins in total
5/100 times x = 7
0.05 times x = 7
x = 7/0.005
x = 700/5
divide that you get 140
Answer:
Maybe 7.14285714?
Step-by-step explanation:
50% divided by 7?
I'm sorry I just guessed
A quantity with an initial value of 140 decays continuously at a rate of 4% per decade. What is the value of the quantity after 98 years, to the nearest hundredth?
(pls answer)
Answers
9514 1404 393
Answer:
93.84
Step-by-step explanation:
The exponential function will be of the form ...
q = a×b^t
where 'a' is the initial quantity and b is the growth factor per time period t.
If we use decades as the time period, then the growth factor is 1 more than the growth rate of -4%. For the initial value 140, the function is ...
q = 140×(1 -4%)^t
q = 140×0.96^t
98 years is 9.8 decades, so the quantity q remaining will be ...
q = 140×0.96^9.8 ≈ 93.84
The quantity remaining will be 93.84 after 98 years.
Answer:
94.6
Step-by-step explanation:
a sunglasses store bought $5,000 worth of glasses the store made $9,000 making a profit of $20 per sunglasses there were How many pairs of sunglasses involved?
Answers
Answer:
150 pairs
Step-by-step explanation:
so total money spent Is equal to 5000
profit is equal to 3000
profit on each pair is equal to 20
so 3000 divided by 20
which gives 150
so 150 pairs of sunglasses were involved
pls give me brainliest I need it
Answer:
The sunglasses involved are 200
Cassandra earns $12.98 an hour working at Key Food. How much money will she
earn this month, if she works 36.7 hours? Round the amount of time to the
nearest hundredth. *
Answers
Answer:
12.98x36.7=476.366
Please help ! Please help! I put extra points! And I will heart you!
Answers
Answer:
89 degrees
Step-by-step explanation:
Answer:
91 degrees
Step-by-step explanation:
180-89=91 degrees
180 is the line that 89 degrees is on.
13. Using figure 1, angles 5 and 6 form a linear pair, If mz6=95", find m25.
a. 5°
b. 85"
c. 90°
d.95"
14. In figure 1, 25 and 28 are vertical angles. If m2s 2x + 45 and m28= 7x - 15
What is the value of x ?
a.6
b. 12
c.9
d. 21
paki answer po plss
Answers
In the figure, angles 1 and 5 are alternate exterior angles. Use the Alternate Exterior ... each pair of alternate interior angles is congruent. ... 1 and 3. SOLUTION: If the radiation rays form parallel lines, then ∠1 and ... supplementary; since 3 and 5 are a linear pair, ... ∠8, ∠9 and ∠10, ∠11 and ∠12, and ∠13 and ∠14.
17% off a $35 dresser
Answers
Answer:
Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars
A rectangle has a perimeter of 66 inches. The length is 5 inches longer than the width. What is the length of the rectangle?
A.19 in
B.14 in
C.30.5 in
D.28 in
Answers
Answer:
I think that it is A. 19
Step-by-step explanation:
I think it is A. because 19x2=38. 19-5=14, 14x2=28. 28+38=66.
P=66
L=19
W=14
Sorry if I'm wrong.
213=22: Z=14 Select True or False for each equation as is state
O True
O False
5x=25
Answers
Point O is the center of the square ABCD. Point E is the midpoint of line segment CD. The area of square ABCD is 24, what is the are of the quadrilateral BCEO?
Answers
Answer: You divided 24 by 3 then you take the answer
Step-by-step explanation:I hope it help
Please help very urgent
Answers
Answer:
330 degrees
Step-by-step explanation:
look at 4th quadrant of unit circle
(cos,sin)
(sqrt3/2,-1/2)=330
Solve for y please will mark brainly
Answers
Answer:
y = -4
Step-by-step explanation:
since f(y) = 9, you know the equation is equal to 9
9 = [tex]\sqrt{y+29}[/tex] - y
81 + 18y + y^2 = y + 29
y = -4
Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. The article Evaluation of Adding Distance Information to Freeway-Specific Service (Logo) Signs (J. of Transp. Engr., 2011; 78-888) reported that in one investigation, six sites along Virginia interstate high ways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
The cited article included the statement A paired t test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs. Carry out such a test. [Note: The relevant normal probability plot shows a substantial linear pattern.] a seventh site were to be randomly selected among bearing service signs, between what values predict the difference in number of crashes to lie?
Answers
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
if the square roots of the natural numbers from 1 to 200 are calculated what will be the whole numbers
Answers
Answer:
f
Step-by-step explanation:
Green vines attached to the trunk of the tree had wound themselves toward the top of the canopy. Ants used the vine as their private highway, avoiding all the creases and crags of the bark, to freely move at top speed from top to bottom or bottom to top depending on their current chore. At least this was the way it was supposed to be. Something had damaged the vine overnight halfway up the tree leaving a gap in the once pristine ant highway.
The whole numbers will be:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
How to find the whole numbers?
Remember that a square root will have a whole number as an outcome only if the input is a square number.
Then, what we can do here is just find all the square numbers smaller than 200.
1*1 = 1
2*2 = 4
3*3 = 9
4*4 = 16
5*5 = 25
6*6 = 36
7*7 = 49
8*8 = 64
9*9 = 81
10*10 = 100
11*11 = 121
12*12 = 144
13*13 = 169
14*14 = 196
Then, if we take the square roots of all the natural numbers from 1 to 200, we will have 14 whole numbers as outcomes, and these will be:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
If you want to learn more about square roots, you can read:
https://brainly.com/question/8952483
solve the system using substitution x=-4y y=2x+9
Answers
Answer: x=-4
Step-by-step explanation:
Given
x=-4y
y=2x+9
Rephrase equation to find y value in terms of x
y=-x/4
y=2x+9
Use substitution (substitute value of y)
2x+9=-x/4
Multiply -4 on both sides
-4(2x+9)=-4(-x/4)
-8x-36=x
Add 8x on both sides
-8x-36+8x=x+8x
-36=9x
Divide 9 on both sides
-36/9=9x/9
x=-4
Hope this helps!! :)
Please let me know if you have any questions
PLEASE HELP! IM GIVING BRAINLIEST!
Answers
Answer:
1/2 x 1/2= 2/4
Step-by-step explanation:
Answer:
Nicoles pattern is correct
Ians pattern is 0,1,3,7,15,
Coordinate pairs
1,0
5,1
17,3
53,7
161,15
Step-by-step explanation:
Pencil and paper
Find a formula for a geometric sequence that begins with 11, -33, 99
Answers
Answer:
17
Step-by-step explanation:
Hey, I need help!
What is 56/2?
Answers
Answer:
28
Step-by-step explanation:
Answer:
56 divided by 2 would be 28.
Step-by-step explanation:
[tex]\frac{56}{2}[/tex] is the same thing as half of 56, since two 28s added together is 56, which means [tex]\frac{56}{2}[/tex] is equivalent to 28.