find the equation of the linear function represented by the table below in slope-intercept form. picture of table is below
Answers
Answer:
[tex] y = 3x + 2 [/tex]
Step-by-step explanation:
The equation of a linear function in slope-intercept form is: y = mx + b, where, m = slope, and b = y-intercept.
Find slope (m) of the linear function by using any two points, say (3, 11) and (7, 23):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 11}{7 - 3} = \frac{12}{4} = 3 [/tex]
To find the y-intercept (b), substitute the value of the corrdinate pair of any of the points represented on the table, and the value of the slope (m) into [tex] y = mx + b [/tex].
Substituting, x = -1, y = -1, m = 3.
[tex] y = mx + b [/tex]
[tex] -1 = 3(-1) + b [/tex]
[tex] -1 = -3 + b [/tex]
Add 3 to both sides
[tex] -1 + 3 = b [/tex]
[tex] 2 = b [/tex]
[tex] b = 2 [/tex]
Substitute m = 3, and b = 2 into the equation of the linear function in slope-intercept form:
[tex] y = mx + b [/tex]
[tex] y = 3x + 2 [/tex]
Related Questions
Divide.
Write your answer in simplest form.
-3/2 ÷ 4/7
Answers
Answer:
-21/8
Step-by-step explanation:
What would the value of x be
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Answer:
25
Step-by-step explanation:
it is alternate interior
same thing
65-25=40
2×25-10=40
what is the slope of the line containing the points (1,-1) and (3,3)
Answers
Answer:
1
Step-by-step explanation:
1111111111111111111
please help me with domain and range of graphs Part 1
Answers
Answer:
see the attached for domainRange: (-∞, 4], [3, ∞), [-3, 1]Step-by-step explanation:
The domain is the horizontal extent of the graph. When the graph has arrows on the end, it extends to infinity in the indicated direction.
__
The range is the vertical extent of the graph.
Left Graph
We assume the curve is intended to touch, not cross, the line y=4, so the range is ...
range: (-∞, 4]
__
Middle Graph
We assume the graph continues along the line y=3 to the right indefinitely. Then this value is the minimum of the range.
range: [3, ∞)
__
Right Graph
The low point on the graph is at y=-3, and it looks like the graph continues to the right along the line y=1. Then the range is ...
range: [-3, 1]
12≥ -4 k (solve for k)
Answers
Answer:
[tex]k\ge \:-3[/tex]
Step-by-step explanation:
[tex]12\ge \:-4k[/tex]
[tex]-4k\le \:12[/tex]
[tex]\left(-4k\right)\left(-1\right)\ge \:12\left(-1\right)[/tex]
[tex]4k\ge \:-12[/tex]
[tex]\frac{4k}{4}\ge \frac{-12}{4}[/tex]
[tex]k\ge \:-3[/tex]
A mountain bike costs $675. If the sales tax is 8%, find the total cost of the bike. Round to the nearest cent, if
necessary
Answers
Answer:
$729.00
Step-by-step explanation:
The tax is ...
0.08 × $675 = $54.00
So, the total cost of the bike is ...
$675 +54 = $729.00
14. What is the rate if the distance traveled is 360 miles for 6 hours?
Answers
Answer:
60
Step-by-step explanation:
360/6=60
solve equation with variable on both sides
2(3r-4)=4r=3
Answers
Step-by-step explanation:
your problem can't have two equal however if you mean 2(3r-4)=4r + 3 its equal to 11/2. but if you mean 2(3r-4)=4r(3) its equal to -4/3
can someone help please
Answers
Answer:
es
375
Step-by-step explanation:
Susan paid for 6 shirts to be delivered.
Each shirt cost $15.00.
Susan paid $9.99 for delivery.
What is the total amount that Susan Paid?
Answers
Answer:
$99.99
Step-by-step explanation:
6 x 15 = 90
+ 9.99
What is -9.5-(-8)-6.5
Answers
Answer:
-8
Step-by-step explanation:
Which of the following coordinates exists on the line y = 2x - 4?
O A. (1,-2)
O B. (-1,2)
O C. (-3,-5)
O D. (2,-4)
Answers
(1, -2) is the coordinates that exists on the line y = 2x - 4
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation of a line, we need to find that on which of the given points it lies,
So, we will put the points one by one, the point which stratify the equation will be the answer.
The equation :- y = 2x-4
1) (1, -2)
Put x = 1, y = -2 in the equation,
2(1)-4
= 2-4 = -2
LHS = RHS
Since, point (1, -2) satisfy the equation therefore, the line will pass through it.
Hence, (1, -2) is the coordinates that exists on the line y = 2x - 4
Learn more about equations, click;
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WILL MARK BRAINLIEST Find the coordinates of the points of intersection of the graphs with coordinate axes: b y=−2x+4
Answers
Answer:
Step-by-step explanation:
For the following right triangle, find the side length x
Answers
What is a counterexample? "If a number is an integer, then it is either positive or negative."
Answers
Answer:
POSITIVE THANK ME LATER
Step-by-step explanation:
A boy has 11 coins in dimes and quarters. Their value is $1.70. How many of each does he have?
Which of the following equations could be used to solve the problem?
options:
x + (11 - x) = 1.70
25x + 10(11 - x) = 1.70
0.10x + 0.25(11 - x) = 1.70
Answers
I think the equation would be C
What is the value of -x² - 4x - 11 if x = -3
Answers
Answer:
-74 your welcome
Step-by-step explanation:
|-4| + |-5| i need help!!!
Answers
Answer:
9
Step-by-step explanation:
The absolute value of any number is just its distance from 0.
-4 is 4 away from 0, so its absolute value is 4.
-5 is 5 away from 0, so its absolute value is 5.
Therefore, the equation is basically just asking what is 4 + 5, which is 9 :D.
Answer:
9
Step-by-step explanation:
The bars around the two numbers imply that it wants you to find the absolute value. Absolute value is the distance a number is from zero since distance is always positive to find the answer just make the number positive. Following this rule l-4l=4 and l-5l=5. Then add them together 4+5=9.
What multiply 12 and add to get -7
Answers
Explantion:
Line f has a slope of -3/4 line g is perpendicular to f. What is the slope of like g
Answers
Answer:
Slope of line g = [tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
Line f has a slope of [tex]-\frac{3}{4}[/tex] Line g is perpendicular to f* Mathematics rule: If two lines are perpendicular to each other, then the product of their slopes is equal to -1 .
∴ [tex]-\frac{3}{4}[/tex] × slope of line g = -1
Slope of line g = -1 ÷ [tex]-\frac{3}{4}[/tex] = 4/3 = [tex]1\frac{1}{3}[/tex]
Find the value of x, y and z. Round to the
nearest whole number.
Answers
Hello!
We can say that:
x = 35y = 18z = 13Let's go!Calculate x, knowing that angles opposite the vertex have the same value: ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
4x - 21 = 2x + 74x - 2x = 7 + 212x = 28x = [tex]\dfrac{28}{2}[/tex] x = 14To know the value of y, just calculate when the angle 4x - 21 ° is worth, as we already have the value of x. Then just do another equation.
4.14 - 2156 - 21 35Now, we calculate:
6y + 37 + 35 = 1806y + 72 = 1806y = 180 - 726y = 108y = [tex]\dfrac{108}{6}[/tex] y = 18Now, we calculate z:
180 - 35 → (35 is the value of 4x - 21 angle, and the adjacent angle of 2x + 7 is same to 10z + 15)= 145Now, we calculate:10z + 15 = 14510z = 145 - 1510z = 130z = [tex]\dfrac{130}{10}[/tex] z = 13Is important stand out what the draw isn't in the correct scale.
Hope this helps!!!! Good studies! ☺
Can someone explain this to me becasue ive been trying for the past 30 mins and i still dont understand it
Answers
S=$1800+$110*N
Use this equation to plot a graph.
Which statement correctly describes the inverse of the following function?
Answers
1 The graph below represents a jogger's speed during her 20-minute jog around her neighbor.
Answers
Answer:
4) She was jogging at a constant rate.
Step-by-step explanation:
In any graph that has to do with time and speed, anytime the line plateaus (flattens out), that means speed is at a constant rate.
Given: -8(x+1)=-5(x+10) prove x=14
Answers
-8(x+1)=-5(x+10)
-8x-8=-5x-50
+50 +50
-8x+42=-5x
+8x +8x
42=3x
/3 /3
14=x
if one pack of blueberries cost 4$, how many packages of blueberries can be bought for 12$
Answers
Answer:
3
Step-by-step explanation:
12 ÷ 4 = 3
If one packet cost 4$ you would be able to buy 3 packets for 12$ as 4x3=12.
What is the measure of PQS
Answers
Find the average (mean) of each group of numbers.
41. 3, 12, 6
42. -8,-1, -3
43. -8, 15, 5, 8
45. –10, -7, 7, 10
46. 12, 24, 9, 15, 18, 20, 16, 14
Answers
Answer:
41, 7
42, -4
43, 5
45, 0
46, 16
Step-by-step explanation:
41, 3+12+6 ÷3
42, -8, -1, -3 ÷3
43, -7+15+5+8÷4
45 -10-7 is -17, 7+10=17, 17-17 =0
46, 128/8=16
Which of these fractions is a repeating decimal
1/4
2/3
4/5
3/6
will give out brainliest, a THX, friend request, and i'll rate ur answer
Answers
3x+7 x 2x+3
step by step please im so confuzed
Answers
Answer:
6x^2 + 23x + 21
Step-by-step explanation:
3x+7 x 2x+3
= 3x(2x) + 3x(3) + 7(2x) + 7(3)
= 6x^2 + 9x + 14x + 21
= 6x^2 + 23x + 21