Use your understanding of transformations and key features to write the slope-intercept equation of this linear function.
Enter the correct answer in the box by replacing the values of m and b.
Answer:
f(x)=-2x+5
Step-by-step explanation:
The line shown in the graph is always decreasing at a constant rate, has a slope of -2, and has a y-intercept of 5.
So the parent function has been reflected across the x-axis (multiplied by -1), vertically stretched by a factor of 2 (multiplied by 2), and vertically translated up 5 units (5 added to it).
Therefore, the slope-intercept equation that represents this linear function is f(x)=-2x+5.
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=-2x+5.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The given line passes through two points with coordinates (0,5) and (1,3). Therefore, the slope and the y-intercept of the given equation of a line can be written as,
Slope, m = (5 - 3)/(0 - 1) = 2/-1 = -2
y-intercept, c = 5
Now, the equation of the line can be written as,
y = mx + c
y = -2x + 5
Hence, the equation of the given line is y=-2x+5.
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savings account
deposit: $800
rate: 6% per year
time: 2 years
Answer:
896
Step-by-step explanation:
1. find 12% (because the time is 2 years) of 800 (94)
2. 96 + 800 = 896
3. answer is 896
What is the solution to the equation 3X + 27 = -2x + 18
Answer:
-9/5 or -1.8
Step-by-step explanation:
3x+27=-2x+18 add 2x to both side
5x+27=18 minus 27 from both side
5x=-9 divide 5
x=-9/5, in decimal form=-1.8
Answer:-9/5
Step-by-step explanation:
3x + 27 = -2x + 18
-27 -27
-3x = -2x - 9
+2x +2x
5x = -9
5x/5 = -9/5
x= -9/5
Scale factor: 2:1
10 in
5 in
13 in
Scale drawing
Object
A. Side a is 26 inches long, side bis 20 inches long, and side cis 10
inches long
B. Side a is 15 inches long, side bis 12 inches long, and side cis 7
inches long
C. Side a is 11 inches long, side bis 8 inches long, and side cis 3
inches long
D. Side ais 2.5 inches long, side bis 5 inches long, and side cis 6.5
inches long
Answer: A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.
Step-by-step explanation:
Scale factor for drawing = 2:1
Dimensions of drawing : 10 in, 5 in, 13 in
Dimension of object = Scale factor x Dimension of drawing
Sides of object:
2 x 10 in =20 in [b]
2 x 5 in = 10 in [c]
2 x 13 in = 26 in. [a]
Hence, the correct option is
A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.
Answer:
Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long.
Step-by-step explanation:
PLEASE ANSWER ASASP! Ill GIVE BRAINLEST!!!!!!!!!!
that isnt the actual answer i just put it there
Answer:
I'm 80% sure its greater than, because $10 per week for 30 weeks Is 300 I think
Determine which of the lines, if any, are parallel. Explain.
Line a: 4y +x=8
Line b: 2y + x = 4
Line c: 2y = -3x + 6
; The slopes are
Answer:
Parallel lines have same slope but different y-intercept
None of the given equations have same slope. Therefore lines are not parallel.
Step-by-step explanation:
Slope of Line a: 4y +x=8 is -1/4
Slope of Line b: 2y + x = 4 is -1/2
Slope of Line c: 2y = -3x + 6 is -3/2
Since the slope of the parallel lines is equal and the slope of the given lines is not equal the lines are not parallel.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that, the lines are.
Line a: 4y +x=8
Line b: 2y + x = 4
Line c: 2y = -3x + 6
Line a,
4y +x=8
4y= -x+8
y=-1/4x+2
Compare the given equation with the standard equation, y=mx+c in order to find the value of slope(m).
The slope of line a is -1/4.
Line b:
2y + x = 4
2y=-x+4
y= -1/2x+2
The slope of line b is -1/2.
Line c:
2y = -3x + 6
y= -3/2x+3
The slope of line c is -3/2
The slopes of the line 4y +x=8, 2y + x = 4 and 2y = -3x + 6 will be -1/4, -1/2 and -3/2 respectively.
Thus, if the slope of the parallel lines is equal and the slope of the given lines is not equal the lines are not parallel.
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Which statement about 2(x+4) is true. Possible answers: :2(x+4) is a quotient :2(x+4)is a product of three factors :2(x+4)has 4 terms. :2(x+4) is a product.
Answer:
three factors
Step-by-step explanation:
HELP , I’ll MArK bRAINLIESt
Answer:
you need to work on your capitalization.
Step-by-step explanation:
no offense.
1) What is the sample space for the given situation?
A) [2, 3, 4, 5, 6, 7, 8, 9)
B) [3, 4, 5, 6, 7, 8, 9)
(1,3,5,7,9
D) {3,5,7)
Please help
Answer:
false_(a) 3 € {2,4,6,8} false_(b) 0 € false (c) {1} € {1, 2, 3} true_(d) {2} S {1, 2, 3} true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} true_ () Ø Ç {1,3
Step-by-step explanation:
i don't know about this is this it ?
(5,3) reflected across the x axis and then across the y axis
Answer: (-5,-3)
Step-by-step explanation:
Answer:
X-axis: (5, -3)
Y-axis: (-5, 3)
Step-by-step explanation:
What is 0.25 as a fraction
Answer:
1/4
Step-by-step explanation:
[tex]\frac{1}{4}[/tex]
Answer: 1/4
Step-by-step explanation:
Trust me ;)
Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card? need help now pls
Answer:a
Step-by-step explanation:all the other ones are not smart
if u think about it
U can’t dived t and I so just do the one that doesn’t do that
During four trips to the arcade, Julie has collected ticket amounts of 15, 60, 78, and 94.
What is the fewest number of tickets she can collect during her final visit to have an average of 70 tickets per visit?
Answers:
During four trips to the arcade, Julie has collected ticket amounts of 15, 60, 78, and 94.
the screen shot contains the answer!
What is the fewest number of tickets she can collect during her final visit to have an average of 70 tickets per visit?
103
hope this helps :)
Tim saw that a pair of $200 dollar jeans had been marked down by 20%. He told his friend that if you took the new price of the jeans and increased that value by 20%, the jeans would return to the original price of $200. is he correct or no?
Hey there!
The answer is no, they would not return to the original price of $200.
This is because when you decrease 200 by 20%, you get 160. Then, if you increase 160 by 20%, you get 192. This is because 20% of 200 and 20% of 160 is different.
Hope this helps! Have a great day, and good luck on your assignment!
what is the slope intercept form of the equation of the line?
Answer:
The slope-intercept form of the equation of the line is:
y = 2/3x + 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(0, 2)(3, 4)(x₁, y₁) = (0, 2)
(x₂, y₂) = (3, 4)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [3 - 0]
= 2 / 3
Thus, the slope of the line = m = 2/3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting m = 2/3 and b = 2 in the slope-intercept form
y = mx+b
y = 2/3x + 2
Therefore, the slope-intercept form of the equation of the line is:
y = 2/3x + 2
An investor purchased 100 shares of stock in a company for $1,500. One year later, the investor sold all the shares for $1,750. What is the investor's rate of return?
Answer:
16 2/3%
Step-by-step explanation:
rate of return is the profit (1750 - 1500) over the original investment
250/1500 = .1666 or 16 2/3%
Answer: .1666
Step-by-step explanation:
Is the relationship between time and distance an arithmetic sequence?
Explain.
h(x)=4-2x find h (-3)
Answer:
10
Step-by-step explanation:
h(x) = 4 - 2x
h(-3) = 4 - 2*(-3)
= 4 + 6
= 10
? Solve for X
3x + 6 = 21
Answer:
x=5
Step-by-step explanation:
21-6=15
3x=15
15÷3=5
Answer:x=5
Step-by-step explanation:
Tina collects stuffed animals. She has 8 teddy bears, 9 dogs, 10 frogs, and 6 monkeys. What is the ratio of monkeys to teddy
bears?
A. 3:7
B. 3:4
O C. 8:6
O D. 7:4
Plssss help ASAP giving away lost of branlist
Answer:
it's c
Step-by-step explanation:
there are 8 bears and 6 monkeys!
hope this helps:)
Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 5 mi/h. How long (in hours) will it be before Amanda catches up to Ben?
Answer:
2 hours 15 minutes
Step-by-step explanation:
Given that :
Ben's speed = 3 mi/hr
One and half hours after Ben leaves = 1.5 hours
Ben's distance = 3 mi/hr * 1.5 = 4.5 miles
Amanda's speed = 5 mi/hr
Time taken before Amanda catches up:
Let time taken = x
Distance = speed * time
Ben's distance = Amanda's distance
4.5 mi + (3 * x) = 5 * x
4.5 + 3x = 5x
4.5 = 5x - 3x
4.5 = 2x
x = 4.5 / 2
x = 2.25 hours
Time taken = 2.25 * 60 = 135 minutes = 2 hours 15 minutes
It would take Amanda 2.25 hours to catch up with Ben
Speed is the ratio of distance to time. It is given by:
Speed = distance/time
Given that Ben covers a distance d at time t, hence:
3 = d/t
d = 3t
Since Amanda leaves One and a half hours (1.5) after Ben leaves, hence Time = t - 1.5
5 = d/(t - 1.5)
d = 5t - 7.5
Since they catch up, hence:
3t = 5t - 7.5
2t = 7.5
t = 3.75 hours
Time for Amanda = t - 1.5 = 3.75 - 1.5 = 2.25 hours
Hence it would take Amanda 2.25 hours to catch up with Ben.
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Enter a fraction that is equivalent to
1/9
with a numerator of 2.
Answer:
2/18
Step-by-step explanation:
Answer:
2/18
Step-by-step explanation:
2/1=2
2*9=18
2/18
Hope this helps. Have a nice day you amazing bean child.
Tisha babysat for 5 hours and earned $32.50. At the same rate, how much would she earn in 8 hours?
$52.00
$14.50
$40.50
$48.50
Answer: The answer is $48.50
Answer: The answer is $52.00.
Step-by-step explanation:
Step 1: Find the Unit Rate
$32.50 divided by 5 = $6.50
Step 2: Find the Price for Babysitting for 8 Hours
$6.50 x 8 (hours) = $52.00
I hope this helps!
Find the general solution of
dy/dx + 2y =6
Answer:
ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C
Step-by-step explanation:
dy/dx + 2y = 6
This is a first order linear ODE.
p(x) = 2
Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)
e^(2x)(dy/dx + 2y) = 6e^(2x)
e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx
Integrate both sides of the equation.
ye^(2x) = 3e^(2x) + C
Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.
A +40 =0. What is the value of A?
Answer:
-40
Step-by-step explanation:
Answer:
hope you for the answer
Step-by-step explanation:
A+40=0
A=0-40
A=-40#
SOMEONE PLEASE HELP ME. PLEASE!
Answer:
30
Step-by-step explanation:
It is a 30 60 90 triangle if you ever heard of it. Look at it and it will make more sense.
What’s 36 x 99? I don’t know, do you?
Answer:
3564
Step-by-step explanation:
calculator, dude.
Answer:
Its 3,464 *smh
If you had 99 barrels of oil, then multiplied it why 36, how much would u have?
Answer - 3,464
PLZ answer this for me its urgent PLZ needed Now!
Answer:
1 or 2 i think 2
Step-by-step explanation:
AS ALWAYS, DUE TODAY!!! WILL GIVE EVERYTHING GOOD!!! NOTE: I NEED THE COORDINATES!!! I STILL NEED HELP WITH THIS!!!
Answer:
(2, 5)
Step-by-step explanation:
Find the measure of angle DEF
Answer:
31.8
Step-by-step explanation:
90-58.2=31.8
because the square in the middle means 90 degrees!
Answer:
<DEF= 31.8°
Step-by-step explanation:
Angle DEF is apart of a right angle which is 90°. The other angle, 58.2° is given and that plus DEF would equal 90°.
In an equation:
< DEF +58.2=90
-58.2 -58.2
----------------------------
<DEF= 31.8°