Here you go :)
Slope is equal to the change in y over the change in x or rise over run:
m = change in y/change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):
m=y2−y1/x2−x1
Substitute in the values of x and y into the equation to find the slope:
m=5−(−8)/8−(4)
Simplify:
m=13/4
Substitute the value of m into the slope-intercept form of the equation, y = m x + b :
y=(13/4)x+b
Substitute the value of x into the slope-intercept form of the equation, y = m x + b .
y = ( 13/ 4 ) ⋅ ( 4 ) + b
Substitute the value of y into the slope-intercept form of the equation, y = m x + b .
− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b
Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .
( 13/ 4 ) ⋅ ( 4 ) + b = − 8
Cancel the common factor.
13/ 4 ⋅ 4 + b = − 8
Rewrite the expression.
13 + b = − 8
Move all terms not containing b to the right side of the equation.
b = − 21
The values of the slope and y-intercept are m = 13 4 and b = − 21 .
m = 13 4
b = − 21
________
Answered by James
write the equation of the line through the points: (5,-3) & (4,0) Part A In point slope form: A: y-5=3(x=3) B: y+5=(-1/3)(x-3) C: y+3=-3(x-5) D: y-3=(1/3)(x+5)
Answer:
y+3= −3(x−5)
Step-by-step explanation:
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A local sporting goods store is planning to hire up to 24 temporary employees for its annual Black Friday Sale. Experienced workers (x) will be paid $20 per hour and produce 1.5 times the profit that an inexperienced worker produces. Inexperienced workers (y) get hired at $15 per hour. The store can pay up to $400 per hour for the temporary employees. How many of each type of worker can be hired to maximize profit?
Answer:
8 experienced workers and 16 inexperienced workers
Step-by-step explanation:
Let x represent the number of experienced workers, y represent the number of inexperienced workers.
The store can hire up to 24 temporary employees, hence:
x + y ≤ 24
The store can pay up to $400 per hour, hence:
20x + 15y ≤ 400
Also, x, y > 0
The solution to the above problem is at (8, 16). Hence x = 8 and y = 16.
The profit of an experienced worker is 1.5 times the profit that an inexperienced worker. hence:
Profit = 1.5x + y
Profit = 1.5(8) + 16
Profit = 12 + 16 = 28
Given f(x) = 3x^2 - 6x + 2 find f(3)
HELP PLEASE ‼️‼️‼️
Answer: 47
Step-by-step explanation:
You simplify it giving you 47
Answer:
f(3)=11
Step-by-step explanation:
3(3)^2=27
-6(3)=-18
27-18+2=11
Your bank account balance is -$1.56. You deposit $10. What is your new account balance?
Answer:
$8.44
Step-by-step explanation[tex]10+(-1.56)=8.44[/tex]
Answer:
$8.44
Step-by-step explanation:
There is -$1.56 in your account already.
You add $10 to that amount
-$1.56+$10 = $8.44
A restaurant has two different seating options: a table and a family booth. A table can seat 4 people, and a family booth can seat 10 people. The restaurant has a maximum capacity of 242 people. If the restaurant has 19 family booths, which inequality could be used to find t, the number of tables in the restaurant?
Answer:
t ≤ 15
Step-by-step explanation:
Let t = tables
6 * 15 + 2* t ≤ 120
90 + 2t ≤ 120
2t ≤ 30
t ≤ 15
Which compound inequality is represented by the graph?
GU
-5 -4 -3 -2 -1 0 1 2
3
4 5
-35x<1
-3
O xs-3 or x > 1
O x<-3 or 21
The compound inequality represented by the graph is -3 ≤ x < 1
From the graph, we have the following highlights
The line number starts from -3 and ends at 1The dot at 3 is closed, while the dot at 1 is openedThe above means that:
-3 is included in the inequality values, while 1 is not.
Hence, the compound inequality represented by the graph is -3 ≤ x < 1
Read more about inequalities at:
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Simplify 4/7 / 3 over negative 8
Answer:
(4/7)÷ (3/-8). Division of fractions is the same as multiplying their reciprocals. So (4/7) x (-8/3). Now multiply the numerators together and denominators together (make sure you only use the negative sign once). (4 x -8) / (7 x 3) = -32/21.
Perimeter is a measure of the distance around a figure. If each side of a triangle measures 0.75 inches, what is the perimeter of the triangle?
Answer:
The perimeter of a triangle is the sum of all its three sides.
So,
0.73+0.73.0.73 = 2.19in
(-12x^8 – 2v) - 11x^8
Answer:
-23[tex]x^{8}[/tex]-2v
Step-by-step explanation:
someone help me!!!??
1. 0.009457
2. 86 500 000
Does anyone know the answer to this??
Answer:i know something about it:
the AEB thingy is the angle that has the 5x- 10 thing. if you know what the 5x thing means, then you subtract the 5x mystery number from 10. and if you see the points A,E, and B, those are the angle points.
Step-by-step explanation:
i'm sorry that i didn't know about all the things, but i hope you know what the 5x thing is.
A box contains 6 blue pens and 10 red pens. What is the ratio of red pens to total pens as a fraction
Answer: 5/8
Step-by-step explanation: The ratio is 10:16 because total of 16 pens and 10 being red.
The ratio of red pens to total pens as a fraction is 5/8.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
The ratio of red pens to total pens can be expressed as a fraction. To find this fraction, we need to divide the number of red pens by the total number of pens.
The total number of pens in the box is 6 blue pens + 10 red pens = 16 pens
So, the fraction representing the ratio of red pens to total pens is:
10/16
It can be simplified by dividing both the numerator and denominator by 2, to get
5/8
So the ratio of red pens to total pens as a fraction is 5/8. This means that out of every 8 pens, 5 are red.
Learn more about the Ratio here:
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Mike owes his friend $4. Each day, Mike earns $2.
(a) Write an equation that describes the situation in slope-intercept form and explain what the x- and yvalues represent.
(b) Graph the situation on a coordinate plane assuming the domain is all real numbers.
(c) What does the x-intercept mean? What does the y-intercept mean?
(d) Does the situation involve direct variation or not? If it does, justify your answer. If it does not, describe
how the situation would need to change in order for y to directly vary with x. Then, write a direct
variation equation based upon the changed situation.
please help!!! :(
Answer:
C
Step-by-step explanation:
A 1288.1 kg car is traveling at 24.1 m/s when the driver takes his foot off the gas pedal. It takes 4.4 s for the car to slow down to 20 m/s. How large is the net force slowing the car? Answer in units of N.
What is 1 3/8 minus 5/8
Answer:
-4 (-2/8)
Step-by-step explanation:
1-5=(-4)
3-5=(-2)
hope this helps :3
Answer:
3/4
Step-by-step explanation:
Find the value of m and YZ if Y is between X and Z.
Step-by-step explanation:
we know that xy+yz=xz
so if we fill in what we know
5m+1m=25
solve from there
Brian compared the absolute values of the numbers−12,34,and−14.Arrange the numbers from least to greatest.
Answer:
-12, -14, 34
Step-by-step explanation:
All of the following statements are true, except . . .
The product of a and c is negative.
The product of b and c is positive.
The product of b and 0 is 0.
The product of a and b is positive.
Answer:
The product of b and c is positive.
Step-by-step explanation:
b is negative as its less than 0
c is > 0 and is thus positive
multiply these would be negative result
Answer:
The product of b and c is positive.
Step-by-step explanation:
had this question
Table function rule of y=4x+1
Answer:
y=5
Step-by-step explanation:
y equals 5 because x is 1 when you get it alone
what is the difference between m∠A and ∠A?
thank you so much!!
Answer:
The measure of an angle is a numerical value. <A just refers to the angle itself.
Step-by-step explanation:
This graph shows part of Ahmed's journey to the gym and back.
(a) Work out Ahmed's speed on his way to the gym.
(b) How long did Ahmed take in the gym?
Give your answer in minutes.
(c) Ahmed took half an hour to travel back home.
What was Ahmed's speed on his way home?
Step-by-step explanation:
the graph is not showing
Evaluate and solve for the variable and please show your work.
-2=y+5
x – 7 = 4 + 10
–2x + 3x – 5 = 6 – 21
70 = 7m
4 – 14 = 5x
2y + 3y = 4 – 6 – 13
Answer:
Step-by-step explanation:
-2 = y + 5
- y -2 = 5
- y = 5 + 2
- y = 7
y = -7
-2x + 3x – 5 = 6 – 21
x – 5 = 6 – 21
x – 5 = -15
x = -15 + 5
x = -10
70 = 7m
7m = 70
m = 10
4 – 14 = 5x
-10 = 5x
5x = -10
x = -2
2y + 3y = 4 – 6 – 13
5y = 4 – 6 – 13
5y = -15
y = -3
Answer:
I took I quiz and the answers are correct
Step-by-step explanation:
:) :) :) :) :) :) :)
Plz help!
The Gazelle football team made 5 plays in a row where they gained
3 yards on each play. Then they had 2 plays in a row where they lost 12 yards on each play. What is the total change in their position from where they started?
Answer:
5 times 3 equals 15 so they gained 15 yards. 12 times 2 equals 24. 24 minis 15 equals 9.
what is the answer for this question?
Answer:
18
Step-by-step explanation:
Hope this helps
a unit rate is a rate in which the unit in the denominater is?
Answer: a unit rate is a rate with 1
Step-by-step explanation:
What is the vertex of the graph of the function f(x) = x2 + 6x + 9?
0 A. (-3,0)
B. (0, -3)
C. (0, 3)
O D. (3, 0)
The vertex of the given quadratic function is (-3, 0).
What is vertex form of a quadratic equation?The vertex form of a quadratic equation or function is [tex]f(x)=a(x-h)^{2} +k[/tex].
Where,
(h, k ) is the vertex
And, a is constant.
According to the given question
We have a quadratic function
[tex]f(x) = x^{2} + 6x + 9[/tex]
The above function can be written as
[tex]f(x) = x^{2} +2(3x) +9[/tex]
⇒[tex]f(x) = x^{2} + 2(3x) + (3^{2}) -(3)^{2} + 9[/tex]
⇒[tex]f(x) = (x+3)^{2} -9+9[/tex]
⇒[tex]f(x) = (x+3)^{2} + 0[/tex]
Comparing the above equation with the standard vertex form of quadratic function we get
h = -3 and k = 0
Hence, the vertex of the given quadratic function is (-3, 0).
Thus, option A is correct.
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describe and correct the error in the solution. (Be specific and explain as
much as you can. What is the correct solution?) *
5(p+3) > 4p + 2
5p+3 > 4p + 2
5p > 4p - 1
p>-1
Write –2/5 as a decimal.
Answer:
-0.4
Step-by-step explanation:
Answer:
-0.4
Step-by-step explanation:
you just need to devide 2 and 5 or you can multiply the whole thing by 2x so it's 4/10 and than devide if you find it easier
If 15% of x is 42, what is x?
The required whole value of x is 280 if 15% of x is 42.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
To determine the value of x, we can set up the equation: (15/100)x = 42.
This equation states that 15% of x is equal to 42.
To solve for x, we can divide both sides of the equation by (15/100) to get:
x = (100/15) × 42
x = 280
So x = 280.
This means that if 15% of x is 42, then the whole value of x is 280.
Learn more about the percentages here:
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Someone please help me with this. Btw this is 6th grade math
Answer: Ratio is N/S = 4/1 (simplest form), two equations: N=4S and S=1/4N
Step-by-step explanation:
Ratio is 4:1. 4 nails per shelf
El cubo de la quinta parte de un número
Answer:
125
Step-by-step explanation: