The points in the table lie on a line. Find the slope of the line.
Х
6
--2
2.
6
y
8
5
2
1
Answers
Answer:
[tex] Slope (m) = -\frac{3}{4} [/tex]
Step-by-step explanation:
Using any two pairs from the table of values given, (-2, 5) and (2, 2):
[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Where,
[tex] (-2, 5) = (x_1, y_1) [/tex]
[tex] (2, 2) = (x_2, y_2) [/tex]
Plug in the value into the slope formula:
[tex] Slope (m) = \frac{2 - 5}{2 -(-2)} [/tex]
[tex] Slope (m) = -\frac{3}{4} [/tex]
Related Questions
The function is f(x)=x^2+7x-8
Need immediately
Rewarding 100 points !!!!
Answers
Answer: Vertex is (-7/2, -81/4)
Axis of synmentary is x= -7/2
Directrix is y= -41/2
Step-by-step explanation:
Its on google
12. Find the value of x.
(10x - 11)
(7x + 4)
Answers
Answer:
Step-by-step explanation:
7x+4=10x-11
4=3x-11
15=3x
x=5
What is the solution to the equation 1/4x-1/8=7/8+1/2x?
X=-5
X=-4
X=4
Answers
the answer is x=-4 hope it helps
Algebra Find the values of x and y.
5.
olgaus 1986.
115°
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081 91129 rast
Answers
Answer:
hey look up it up it's better
Step-by-step explanation:
The sum of three numbers is 54. The third number is 6 more than the first. The second number is 2 times the third. What are the numbers?
Answers
Answer:
9, 30, and 15.
Step-by-step explanation:
Let the three numbers be a, b, and c.
The sum of them is 54. So:
[tex]a+b+c=54[/tex]
The third number is 6 more than the first. In other words, c=a+6.
The second number is twice the third. In other words, b=2c.
Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).
Let’s substitute them into our equation. So:
[tex]a+2(a+6)+(a+6)=54[/tex]
Solve for a. Distribute:
[tex]a+2a+12+a+6=54[/tex]
Combine like terms:
[tex]4a+18=54[/tex]
Subtract 18 from both sides:
[tex]4a=36[/tex]
Hence, the value of a is:
[tex]a=9[/tex]
So, the first number is 9.
The third number is 6 more than the first, so the third number is 15.
The second number is twice the third. So, the second number is 30.
Therefore, our numbers are:
9, 30, and 15.
If f(x) =x 2 + 10, what is f (-5)?
Answers
Answer:
f(-5) = 35
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = x² + 10
f(-5) is x = -5
Step 2: Evaluate
Substitute: f(-5) = (-5)² + 10Exponents: f(-5) = 25 + 10Add: f(-5) = 35????????????????????????????????????????
Answers
Answer: The Answer is 64
Step-by-step explanation: there isnt much really to it
Answer:
The answer is 64
Step-by-step explanation:
If you need me to explain my answer let me know.
I NEED HELP PLEASEEEE HABSJQBSKQSBQISBWKEJKQDJIQSB :(
Answers
Answer:
5
Step-by-step explanation:
within the brackets do the parentheses (14-12)=2
according to PEMDAS, multiply first 2x3 to get 6
then add 3
you end up with 9 in the brackets so now all that’s left is 45/9 which is 5
If a pair of standard dice are rolled,
what is the probability that the sum
will be greater than 7?
[ ?
Answers
Answer:
P(Pair of dice greater than 7) = 5/12
Step-by-step explanation:
When rolling a pair of dice, there are 36 combinations for the rolls.
(1,1), (1,2), (1,3), .... (2,1), (2,2), .... (6,1), ... (6,6)
Of those, there are 15 where the total is greater than 7.
15/36 = 5/12
#1 #2 Sum > 7
1 1 2 FALSE
1 2 3 FALSE
1 3 4 FALSE
1 4 5 FALSE
1 5 6 FALSE
1 6 7 FALSE
2 1 3 FALSE
2 2 4 FALSE
2 3 5 FALSE
2 4 6 FALSE
2 5 7 FALSE
2 6 8 TRUE
3 1 4 FALSE
3 2 5 FALSE
3 3 6 FALSE
3 4 7 FALSE
3 5 8 TRUE
3 6 9 TRUE
4 1 5 FALSE
4 2 6 FALSE
4 3 7 FALSE
4 4 8 TRUE
4 5 9 TRUE
4 6 10 TRUE
5 1 6 FALSE
5 2 7 FALSE
5 3 8 TRUE
5 4 9 TRUE
5 5 10 TRUE
5 6 11 TRUE
6 1 7 FALSE
6 2 8 TRUE
6 3 9 TRUE
6 4 10 TRUE
6 5 11 TRUE
6 6 12 TRUE
Answer:
5/12
Step-by-step explanation:
I can’t really explain it. I did the same problew though.
x⁴+1 by x+1 ( Long division of polynomials).Please if anyone knows the answer of this question please let mr know.....if you want points and waste my time your answer will be reported...
Answers
[tex] {x}^{3} - {x}^{2} + x - 1 + \frac{2}{x + 1} [/tex]
lmk if u want an explanation for this I can try type it out
Answer:
[tex]x^3-x^2+x-1+\frac{2}{x+1}[/tex]
Step-by-step explanation:
See the picture attached.
Notice how I set up [tex]x^4+1[/tex] as [tex]x^4+0x^3+0x^2+0x+1[/tex], as it makes it easier to solve.
Also, notice that the 2 as the remainder doesn't have anything else to divide to, so that means there will be an extra term [tex]\frac{2}{x+1}[/tex] in the end of the answer.
What is m / 5 - 2 = 8
Answers
Answer:
m=24
Step-by-step explanation:
First, we can combine like terms:
m/(5-2)=8
m/3=8
Now, we need to get m by itself. To do this, multiply by 3:
m/3*3=8*3
m=24
50
50 ÷ 5 = 10, 10-2 =8
kdjrjrjdjjfhrhy to truth thhrjrhejd
Can someone please help me with this? I keep getting half of the answer and I'm doing everything right. ------------------------- The perimeter of any triangle is the sum of the lengths its sides. The lengths of the sides of a certain triangle, in feet, are consecutive even integers. The perimeter of this triangle is between 10 feet and 24 feet inclusive. a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle. b. Write a compound inequality to model this problem. c. Solve the inequality. List all possible lengths for the longest side of the triangle. ------------------------- This is what I have so far... (please tell me what I did wrong as well) ------------------------- 10 ≤ x+(x+2)+(x+4) ≤ 24 ------------------------- 10 ≤ 3x+6 ≤ 24 -------------------------4 ≤ 3x ≤ 18 ------------------------- 4/3 ≤ x ≤ 6
Answers
9514 1404 393
Answer:
a. x, x+2, x+4
b. 10 ≤ 3x+6 ≤ 24
c. 6 ft, 8 ft, or 10 ft
Step-by-step explanation:
Given:
The lengths of the sides of a certain triangle, in feet, are consecutive even integers.The perimeter of this triangle is between 10 feet and 24 feet inclusive.Find:
a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.
b. Write a compound inequality to model this problem.
c. Solve the inequality. List all possible lengths for the longest side of the triangle.
Solution:
You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)
a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.
__
b. Here is the compound inequality
10 ≤ x+(x+2)+(x+4) ≤ 24
__
c. Here is the solution
10 ≤ 3x+6 ≤ 24 . . . . collect terms
4 ≤ 3x ≤ 18 . . . . . . . subtract 6
4/3 ≤ x ≤ 6 . . . . . . . . divide by 3
Your working is correct, but incomplete. The values of interest are the even integers x+4.
5 1/3 ≤ x+4 ≤ 10
The longest side may be 6 ft, 8 ft, or 10 ft.
A coin is flipped and a normal dice is rolled. How many possible outcomes are there? What is the probability of getting no heads? What is the probability of getting at least two tails?
Answers
Answer:
Below.
Step-by-step explanation:
(a) There 8 possible outcomes.
HHH TTT HHT HTH THH TTH THT HTT
(b) Prob(No Heads)
= Prob(TTT)
= 1/8.
(c) Possible outcomes of at least 2 tails are:
TTT, TTH THT HTT = 4
So Probability of this is 4/8 = 1/2.
f(x) = 2x + 3
g(x) = x
(a) Find fg(6).
(b) Solve the equation gf(x) = 100.
Answers
Answer:
a) 15
b) 97/2
Step-by-step explanation:
a) f(g(6))
g(6) = 6
2(6)+3
12 + 3
15
b) gf(x) = 10
2x+3
2x+3 = 100
2x = 97
x = 97/2
Which correctly represents this inequality?
A number times two is less than 20 + 8.
PLS HELP!
Answers
Answer:
solving the inequality we get [tex]x < 14[/tex]
Step-by-step explanation:
We need to solve the inequality A number times two is less than 20 + 8
Let the number be x
The inequality will be:
2x < 20+8
Now solving the inequality to find the value of x
[tex]2x < 20+8\\2x < 28\\x<\frac{28}{2}\\x<14[/tex]
So, solving the inequality we get [tex]x < 14[/tex]
In figure a I am attaching the number line for solution.
In figure b I am attaching the graph for solution.
Find the central angle, indicated by ?
155°
?
120°
Answers
The central angle of the circle is given by the equation A = 120°
What is Central Angle?The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
where s is the length of the arc
r is the radius of the circle
Central Angle = 2 x Angle in other segment
Given data ,
Let the center of the circle be O
Let the arc be represented as AB
Let the angle be represented as ∠AOB
Now , ∠AOB is a central angle with an intercepted minor arc from A to B.
Substituting the values in the equation , we get
m∠AB = 120º
The measure of the central angle ∠AOB = measure of m∠AB
So ,
The measure of the central angle ∠AOB = 120°
Hence , the central angle is 120°
To learn more about central angle click :
https://brainly.com/question/11877137
#SPJ2
Mary has sold 90 boxes of cookies. If her goal was to sell 120 boxes, what percentage of her goal has she sold?
Answers
the percentage is 75%
because 90 divided by 120 is 0.75.
A system of linear equations is given by the tables.
Answers
Answer:
Please, see the explanation.
Step-by-step explanation:
DETERMINING THE EQUATION FOR THE FIRST TABLE
Given the first table
x y
-5 10
-1 2
0 0
11 -22
From the given equation, we can verify and determine that
[tex]y=-2x[/tex] is the required equation that satisfies the table values of the first table.
substituting the table values of all the ordered pairs to check
FOR (-5, 10)
y =-2x
10 = -2(-5)
10 = 10
L.H.S = R.H.S
FOR (-1, 2)
y =-2x
2 = -2(-1)
10 = 2
L.H.S = R.H.S
FOR (0, 0)
y =-2x
0 = -2(0)
0 = 0
L.H.S = R.H.S
FOR (11, -22)
y =-2x
-22 = -2(11)
-22 = -22
L.H.S = R.H.S
As all the ordered pairs of the first table satisfy the equation.
Hence, [tex]y=-2x[/tex] is the equation for the first table.
DETERMINING THE EQUATION FOR THE SECOND TABLE
Given the first table
x y
-8 -11
-2 -5
1 -2
7 4
From the given equation, we can verify and determine that
[tex]y=x-3[/tex] is the required equation that satisfies the table values of the second table.
substituting the table values of all the ordered pairs to check
FOR (-8, -11)
y =x-3
-11 = -8-3
-11 = -11
L.H.S = R.H.S
FOR (-2, -5)
y =x-3
-5= -2-3
-11 = -5
L.H.S = R.H.S
FOR (1, -2)
y = x-3
-2= 1-3
-2 = -2
L.H.S = R.H.S
FOR (7, 4)
y = x-3
4 = 7-3
4 = 4
L.H.S = R.H.S
As all the ordered pairs of the second table satisfy the equation.
Hence, [tex]y = x-3[/tex] is the equation for the second table.
Therefore, the equations are:
[tex]y=-2x[/tex]
[tex]y = x-3[/tex]
Now, let us solve to determine the solution
[tex]\begin{bmatrix}y=-2x\\ y=x-3\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y+2x=0\\ y-x=-3\end{bmatrix}[/tex]
[tex]y-x=-3[/tex]
[tex]-[/tex]
[tex]\underline{y+2x=0}[/tex]
[tex]-3x=-3[/tex]
[tex]\begin{bmatrix}y+2x=0\\ -3x=-3\end{bmatrix}[/tex]
solving
[tex]-3x=-3[/tex]
[tex]\frac{-3x}{-3}=\frac{-3}{-3}[/tex]
[tex]x=1[/tex]
For [tex]y+2x=0[/tex], plugin [tex]x = 1[/tex]
[tex]y+2\cdot \:1=0[/tex]
[tex]y+2=0[/tex]
[tex]y=-2[/tex]
Therefore, the solution to the system of equations are:
[tex]y=-2,\:x=1[/tex]
Match each explicit formula to its corresponding recursive formula.
Answers
Answer:
See attached
Step-by-step explanation:
The answer is in below picture
Identify the slope and the y-intercept of the following: g(x)=-3/2x + 4
Answers
Answer:
x = 6
Step-by-step explanation:
what is the rate of change of y with respect to x for this function
Answers
Answer:
8
one fourth
2
4
Step-by-step explanation:
hope with helped ^^
2x (3x + 5)
=6x^2+20x
Answers
Answer:
Are you 1 grade or what......
Answer:
6x^2 + 10x
Step-by-step explanation:
2x(3x + 5) = 2x * 3x + 2x * 5
= 6x^2 + 10x
Find the value of X that will make L║M
Answers
Answer:
x = 60
Step-by-step explanation:
Given: L ∥ M and the line going through them is transversal
The sum of the interior angles on the same side of a transversal is equal to 180 degrees; therefore, (2x + 5) degrees + (x - 5) degrees = 180 degrees.
2x + 5 + x - 5 = 180
2x + x + 5 - 5 = 180
3x + 0 = 180
3x = 180
x = 180/3
x = 60
Double Check:
2(60) + 5 + (60) - 5 = 180 degrees
120 + 5 + 55 =
125 + 55 =
180 degrees
180 degrees = 180 degrees
Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinates of point T? T(3, 2) T(3, 4) T(4, 5) T(4, 7)
Answers
Question:
Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?
Answer:
[tex]T(4,5)[/tex]
Step-by-step explanation:
Given
[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]
[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]
Required
Determine the coordinates of T
The coordinates of T can be represented as [tex]T(x,y)[/tex]
To do this, we simply solve for x and y
[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]
Solve 6 - 2
[tex]x = \frac{1}{2}*4 + 2[/tex]
Solve 1/2 * 4
[tex]x = 2 + 2[/tex]
[tex]x = 4[/tex]
[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]
Solve 4 - 6
[tex]y = \frac{1}{2}*-2 + 6[/tex]
Solve 1/2 * -2
[tex]y = -1 + 6[/tex]
[tex]y = 5[/tex]
Hence, the coordinates of T(x,y) is:
[tex]T(x,y) = T(4,5)[/tex]
Answer:
C
Step-by-step explanation:
hi can someone answer these 3 questions for me?? thank you :)
Answers
Answer:
1) 1[tex]\frac{1}{8}[/tex]
2) 2[tex]\frac{5}{7}[/tex]
3) 1[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
Step-by-step explanation:
4 7/8 + __ = 6
__ = 6 - 4 7/8
__ = 1 1/8
3 2/7 + __ = 6
__ = 6 - 3 2/7
__ = 2 5/7
3 1/9 + __ = 5
__ = 5 - 3 1/9
__ = 1 8/9
Topic: Fractions
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Can u guys help me w number 5 U can answer 6 if u want too
Answers
Answer:
5. Slope: 2
y-intercept:(0,-6)
y=2x-6
6. Slope:1
y-intercept:(0,-1)
y=x-1
find the area k of triangle ABC WHEN A =19.2 b= 2.05 and c=9.12
Answers
Step-by-step explanation:
Area of a triangle= 1/2breadth × height
evaluate when a=15:2(a-5)+2
Answers
Answer:
22
Step-by-step explanation:
if a=15
then, 2(a-5)+2= 2(15-5)+2 = 2(10)+2= 20+2=22
What is the equation of the line shown in this graph?
Answers
Answer:
y=0x+1
Step-by-step explanation:
Hope this helps!(^-^)
Answer: either -4,1 (+) 6 or 2,1 (-) 6
Step-by-step explanation:
Is the graph linear exponential or neither?