What will the equation be if f(x)= x^2 is translated 6 units left and 3 units up?
Answer:
(x+6)^2+3
Step-by-step explanation:
translate 6 left
left is negative
so (x+6)^2. it is + because the x goes in the opposite direction causing (x-6)^2 to go right
and 3 units up so add x by 3 to get (x+6)^2+3
Answer:
g(x) = (x + 6)² + 3
Step-by-step explanation:
To move horizontally replace each x with (x ± c)
if you move it to the right, you need x - c
if you move it to the left , you need x + c
Since we are moving to the left 6, we will have: g(x) = x² + 6
To move up or down, add or subtract the constant equal to the units moved, so to move it up 3 would give us:
g(x) = (x + 6)² + 3
A graph is below for further conformation.
hope this helps!
Question 3
6 pts
A ball is thrown vertically upward with an initial velocity of 48 feet per
second and started from a height of 8 ft off the ground.
a. Write a vertical motion equation that models the situation.
b. How long will it take the ball to hit the ground? (round to the nearest
Hundredth)
c. How long will it take the ball to be 56 ft above the ground?
No answer text provided.
(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².
(b) The time for the ball to hit the ground is 3.15 s.
(c) The time for the ball to travel 56 ft above the ground is 0.79 s.
Vertical motion equation for the ball
The vertical motion equation for the ball is calculated as follows;
h = h₀ + vt - ¹/₂gt²
h = 8 + 48t - ¹/₂(32)t²
h = 8 + 48t - 16t²
Time for the ball to hit the ground0 = 8 + 48t - 16t²
solve the above quadratic equation with formula method;
a = -16, b = 48, c = 8
t = 3.15 s
Time for the ball to be 56 ft above the groundlet upward motion be positiveh = 8 + 48t + 16t²
56 = 8 + 48t + 16t²
0 = -48 + 48t + 16t²
solve the above quadratic equation with formula method;
a = 16, b = 48, c = -48
t = 0.79 s
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John, Britteny, Chloe, Kenji, Warner, and Juliette are in a race and are all considered equally fast what is the probability that John and Britteny would be the first two finishers
Detailed explanations are most welcome
Answer:
1/3
Step-by-step explanation:
There are 6 people partaking in this race.If John and Brittney are to be the first two finishers, then 2 out of the 6 people are the said first two finishers.That gives 2/6.By reducing the fraction, we have:(2÷2)/(6÷2) = 1/3.Hope this helps!
15 is 60% of what number?
25
hope it helps...!!!!
Professor Mallory determines the distribution of students on five variables in her target population. She then uses nonprobability sampling to select students who fill the pre-established proportions of people in each combination of variables. Which sampling strategy did she use
The sampling strategy she use was a quota.
Quotas are meant to establish boundaries on the number of specific goods that are allowed to be lawfully imported into the country throughout a distinct period of time. In that, quotas are similar embargoes, except quotas don´t have explicit political purposes as embargoes do.
A Fixed quota would be a maximum amount not to be surpassed, while a tariff rate surcharge allows it, but with a higher duty.
How would you solve this?
Answer:
the answer of the perimeter is B
Melissa will paint a jewelry box that is in the shape of a cube. The surface area of the cube can be determined using the formula A = 682 wheres represents the side length the cube Determine the surface area of the box that Melissa will paint to the nearest tenth of a square inch if x = 2.
The surface area of the box that Melissa will paint is 24 square units
Surface are of a cubeA cube is a solid figure with 6 faces. The formula for calculating the surface area of the cube is expressed as:
A = 6L^2
where
L is the side length of the cube
Given
L = 2units
Substitute
A = 6(2)^2
A = 6 * 4
A = 24 square units
Hence the surface area of the box that Melissa will paint is 24 square units
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Chloe gave out a survey to some students in her school about their favorite color. 219 of those surveyed said their favorite color was purple. If 73% of the students surveyed said their favorite color was purple, how many students were surveyed in total?
If 73% of the students surveyed said their favorite color was purple, 1,000 students were surveyed in total.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Let the total number of persons surveyed be x. However, the question tells us that 350 respondents, or 35% of this x, make up the total.
Hence, mathematically, we have;
73% of x = 219
(73/100) × x = 219
73x = 100×219
73x = 219,000
x = 219,000/219
x = 1,000 students
Thus, if 73% of the students surveyed said their favorite color was purple, 1,000 students were surveyed in total.
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f(x) = x^2. What is g(x)?
A. g(x) = (4x)^2
B. g(x) = 2x^2
C. g(x) = (2x)^2
D. g(x) = (1/2x)^2
Answer:
C
Step-by-step explanation:
g(x) through the point (1,4) so its mean when x equal to 1, g(x) equal to 4 so you replace that point so you can choosse C
HELP ME FOR A BRAINLIEST BA3
Answer:
it should be -65. because I did this already
Answer:
x=3, y=-3
Step-by-step explanation:
pluging in y we get -3x+15=6, or -3x=-9
this means x is 3
What is the factored form of this expression? x9-1000
A. (x3-10)(x3+10)(x2-10x+100)
B. (x3+10)(x6-10x3+100)
C. (x-10)(x+10)(x3-10x2+100)
D. (x3-10)(x6+10x3+100)
Answer:
D. (x^3 - 10)(x^2 + 10x^3 + 100).
Step-by-step explanation:
Using the identity a^3 - b^3 = (a - b)(a^2 + ab + b^2):
We have x^9-1000 :
- here a = x^3 and b = 10 so:
x^9-1000 = (x^3 - 10)(x^2 + 10x^3 + 100)
HELpppppppppPPPPPPPPPPPPPPPpppppPPPPPPPP
Answer:
(a) mintutes, seconds
(b) Randomly pick 55 students to run a lap around the track and measure their times
Step-by-step explanation:
(a) When measuring distance like running you measure it in minutes and seconds
(b) When finding the average of a population you have to pick randomly and to get the best results you time them youself
Randomly pick 55 students to run a lap around the track and measure their times.
The town of La Belle wants to build a soccer
field. They want it to be 50 yards wide and 80
yards long. What is the total area of the soccer
field? Show your process
Answer:
4000 yd^2
Step-by-step explanation:
50 yd * 80 yd = (50*80) ( yd * yd) = 4000 yd^2
The ratio of the measures if the sides of a triangle is 4:6:8, and its perimeter is 126 feet. What are the measures of the sides of the triangles
Answer:
56 feet.
Step-by-step explanation:
4k+6k+8k=18k=126⟹k=7
Therefore, the lengths are 4⋅7=28, 6⋅7=42 and 8⋅7=56 feet.
if 54735 = 53000+735+p what is the value of p
Answer:
1000 :)
Step-by-step explanation:
We need to subtract to solve!!
54735 - 53000 = 1735
1735 - 735 = 1000
Have an amazing day!!
Please rate and mark brainliest!!!
Simply the expression.
4 (2m -6) - 3p - 2m + 8
Let's solve the equation.
4 (2m -6) - 3p - 2m + 8
= 8m - 24 - 3p - 2m + 8 (We simplified 4 (2m -6))
= 6m - 16 - 3p (We added the 8 to the 24)
= 6m - 3p - 16 (We organized the variables together so it matches an answer.)
The answer is A!
Answer: hii
The answer; 6m - 3p -16Step-by-step explanation:
How to solve your problem:
4 (2m -6) - 3p - 2m + 8
Simplify.
Distribute.
4 (2m -6) - 3p - 2m + 8
8m - 24 - 3p - 2m + 8
Add the numbers:
8m - 24 - 3p - 2m + 8
8m - 16 - 3p - 2m
Combine like terms:
8m - 16 - 3p - 2m
6m - 16 - 3p
Rearrange terms:
6m - 16 - 3p
6m - 3p - 16
Solution:
6m - 3p -16
Hopefully this helps you ~
- Matthew
Find the equation of the line with slope = -6 and passing through (-2,10). Write your equation in the
form y = mx + b.
Submit Question
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies -6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-6}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-10=-6(x+2)\implies y-10=-6x-12\implies y=-6x-2[/tex]
I need help because I dont quiet understand pls explain?
Explain how to create a graph to model the relationship between the 2 quantities in the table.
Answer:
For every hour they work (x), they are being paid $25. (d)
Step-by-step explanation:
So, D=25x
what is 7h-5(3h-8) = -72
Answer:
14
Step-by-step explanation:
7h-5(3h-8)=-72
7h-15h+40=-72
-8h=-112
h=14
Answer:
Answer is 14
Step-by-step explanation:
7h-15h+40 = -72-8h = -72-40-8h = -112h = -112------
-8
h = 14Hope it helps!
BYE
Sonja is spinning a spinner with 15 equal sectors labeled 1 through 15.
What is P(multiple of 6)?
2/15
4/15
2/5
3/5
Answer:
2/15
Step-by-step explanation:
there are only 2 numbers which are multiples of 6, which are both 6 and 12. That means it would be a 2/15 probability. You cannot simplify it more, so it will remain the same.
Answer:
2/15
Step-by-step explanation:
:)
Find the volume of the figure. Round answer to nearest hundredths place.
Answer: 540 nearest hundred is 500
Step-by-step explanation:
I multiplyed them together to get the answer.
Answer:
4834.9
Step-by-step explanation:
1) Split the Figure into a Cone and a Cylinder
2) Cylinder Formula V=πr²h And Cone V=1/3hπr²
3) π[tex]9^{2}[/tex]15 + 1/2(12)π([tex]9^{2}[/tex])
4) 3817.04+1017.88
5) 4834.9
Dilation is enlarging or shrinking a figure by using a scale factor.
Using a scale factor bigger than one, creates a
figure.
Using a scale factor between 0 and
creates a
figure.
Create your own
dilation examples or find 2 images of dilation examples. Be
sure the two examples are different by showing one getting larger and one
getting smaller.
Answer:
Step-by-step explanation:
scale factor bigger than one, in math greater than, the figure is larger than the object being used a figure smaller than 1 creates a figure smaller than the original
Luckily you can just use your web browser to scale a screen up or down in it's scale. try it.. top right ellipse for go ogle chrome lets you scale over 100 per cent or 1 and also under 100 per cent or less than 1 remember 100 per cent = 1.00
At a football stadium, 2% of the fans in attendance were teenagers. If there were 240 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
12000
Step-by-step explanation:
240÷2=120
120=1%
120×100=12000
12000=100%
Answer: 12,000
Step-by-step explanation:
2% is = 240
1% is 240/2
100% is 240/2 × 100/1
Find the measure of angle A.
Angle 1. x+59
Angle 2. 84
Angle 3. x+51
I already know x= -7 But the measure of angle A is on the outside of the triangle
Ans: The measure of exterior angle i.e angle A is -52⁰.
You meant to say that the measure of an angle A is on exterior angle so let me elaborate it you clearly,
[tex]x + 59 \\ = - 7 + 59 \\= - 52[/tex]
the sum of six interior angles of a regular octagon is 800 the other two angles are equal find the size of each angle
An octagon is a polygon with 8 sides and angles. The two equal angles are 140 degrees each
How to calculate the sum of an interior angle of a polygon?An octagon is a polygon with 8 sides and angles
The formula for calculating the sum of interior angle of a regular polygon is expressed as:
S = (n-2) * 180
If the sum of six interior angles of a regular octagon is 800 the other two angles are equal, then;
800 + 2x = (8-2)*180
800 + 2x = 1080
2x = 1080 - 800
2x = 280
x = 140
The two equal angles are 140 degrees each
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Exponential growth/decay problem 2
Answer:
a) decay
b) 2,950,000
c) 0.025
d) [tex]f(x)=2950000(0.975)^x[/tex]
e) 2,409,123
Step-by-step explanation:
Part (a)
Exponential DECAY, since the population was decreasing annually.
Part (b)
Initial amount = 2,950,000 people (in the year 2000)
Part (c)
Decay factor = 2.5% = 0.025 (in decimal form)
Part (d)
General form of exponential decay function:
[tex]f(x)=a(1-r)^x[/tex]
where:
a = initial amountr = rate of decay (in decimal form)x = time (in years)Given:
a = 2950000r = 0.025[tex]\implies f(x)=2950000(1-0.025)^x[/tex]
[tex]\implies f(x)=2950000(0.975)^x[/tex]
Part (e)
To determine the city's population in 2008:
[tex]x = 2008 - 2000 = 8[/tex]
[tex]\begin{aligned}\implies f(8) & =2950000(0.975)^8\\ & = 2409123\: \sf(nearest\:whole\:number)\end{aligned}[/tex]
1.4.
Which scatter plot shows a negative linear association between x and y?
A.
B.
y
y
C.
D.
..
..
.
●
●
.
●
Answer:
need more details
Step-by-step explanation:
...
Without buying points, a monthly mortgage payment will be $958. buying 1 point at closing would reduce the payment to $948.75. if each point costs $1000.00, rounded to the nearest year, how long would it take to break even by buying 1 point? a. 7 years b. 8 years c. 9 years d. 10 years please select the best answer from the choices provided a b c d
If each point costs $1000.00. how long would it take to break even by buying is:9 years.
TimeFirst step
Monthly savings=$958-$948.75
Monthly savings=$9.25
Second step
Time=(Cost of points/Mothly savings)/ 12 months
Time=($1,000/$9.25)/12 months
Time=108/12 months
Time=9 years
Therefore how long would it take to break even by buying is:9 years.
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Find the value of x
Answer: 11
Step-by-step explanation:
The classroom has 20 students and
1
10
of the students have blonde hair. How many students have blonde hair?
Answer:
2 students out of 20 have blonde hair.
Step-by-step explanation:
20 was the total number if u divide 20 ÷ by 10 = 2
so 2 is 1/10
because is only 1 out of 10
Answer:
2 students.
Step-by-step explanation:
20 divided by 10 = 2