y-y1 = m(x-x1) — point-intercept form
Given both x1 and y1 = coordinate point.
First we have to find the slope by using rise over run. (y2-y1)/(x2-x1) = m
The slope should be m = -4 then we substitute m-value in point-slope form.
y-y1=-4(x-x1) — new equation. After substituting slope in, we need to find the coordinate point that is part of the graph. You can use any points that are given in the picture. I will use point F or (5,0).
Then we substitute x1 = 5 and y1 = 0 in the point-slope form
y-0=-4(x-5) — point-slope form
y=-4x+20 — slope-intercept form..
How about we change to another coordinate point to substitute in? We can check if these points also give same equation (slope-intercept).
Let's substitute (4,4) in the equation.
y-4=-4(x-4)
y=-4x+16+4
y=-4x+20
Same answer. Meaning that all these points that are shown can be substituted in the equation and get the same slope intercept form.
Therefore, point-slope form for the graph can be
y-4=-4(x-4)
you can also change the coordinate point value.
Look at the graph shown below:
Which equation best represents the line?
A: y = 1 over 3 x - 1
B: y = 3x - 1
C: y = -x + 1 over 3
D: y = 3x + 1
If given f(x) = –4x – 2 and g(x) = 2x, what is (f · g)(x)?
A.
(f · g)(x) = –6x – 4
B.
(f · g)(x) = –8x2 – 4x
C.
(f · g)(x) = –6x – 2
D.
(f · g)(x) = –16x2 – 4x
Step-by-step explanation:
Given
f(x) = - 4x - 2
g(x) = 2x
(f • g) (x) = ?
We know
f(g(x)) = f ( 2x )
= - 4 ( 2x ) - 2
= - 8x - 2
What is the equation of the circle shown below?
Step-by-step explanation:
Equation of circle: (x + 2)² + (y - 2)² = r²
Radius of the circle is 3 (from -2 to 1).
Hence we have
(x + 2)² + (y - 2)² = 3² or (x + 2)² + (y - 2)² = 9.
Please help! Will give brainiest! HIGH POINTS
Evaluate each of the following using ...
Answer:
F(0)= 0, 0
F(3)= -21, 3
F(2)= -12, 2
Step-by-step explanation:
explanation
What is HJ + JM?
The number line from minus four to four by increment of one and each tick mark is labeled. In this number line point minus four is also labeled as G, minus three is labeled as H, minus two is labeled as I, minus one is labeled as J, zero is labeled as K, one is labeled as L, two is labeled as M, three is labeled as N, and four is labeled as O.
Answer:
HJ + JM = 5
Step-by-step explanation:
The number line is majorly used to show the positions of directed numbers. For the given question, the number line has the required points as shown in the attachment to this answer.
From the number line,
HJ = -1 - (-3)
= -1 + 3
= 2
HJ = -2
JM = 2 - (-1)
= 2 + 1
= 3
Thus,
HJ + JM = 2 + 3
= 5
HJ + JM = 5
7th grade math help me please :)
Answer:
7x + 1 and 2a - 1
Step-by-step explanation:
(a)
2x + 1 + 5x ← collect like terms
= (2x + 5x) + 1
= 7x + 1
(b)
- 3a + 2 + 5a - 3 ← collect like terms
= (- 3a + 5a) + (2 - 3)
= 2a + (- 1)
= 2a - 1
Will mark brainliest
A team spent 20 minutes on passing drills and 40 minutes on shooting drills.
What is the ratio of time spent on shooting drills to time spent on passing drills?
1 to 3
3 to 1
2 to 1
1 to 2
Paul's Pizzeria sells 45 cheese pizzas and 20 pepperoni pizzas each week.
What is the ratio of cheese pizzas to pepperoni pizzas sold each week by Paul's Pizzeria?
4:2
3:1
9:4
9:2
Which simplified ratio correctly compares 12 yards to 20 feet?
3:5
5:3
5:9
9:5
Answer:
1. 1 to 2 2. 9 to 4 3. 5 to 3
Step-by-step explanation:
Its just half which is one to 2, this one is pretty simple, so trust me
you just find the highest number that can go into both ones.
12 yards and 20 feet, one yard in 3 feet
Answer:
the ratio is 20
Over 40
Step-by-step explanation:
it’s logical I got it correct and you just put them together
Simplify (4x - 6) + (5x + 1). (1 point)
-X-5
9x + 5
9x - 5
Ох
x - 5
Answer:
9x-5
Step-by-step explanation:
Add the common values together:
(4x-6)+(5x+1)
4x+5x -6+19x-5Answer:
|
−
2
|
+
2
−
2
3
x
−
1
2
Step-by-step explanation:
Help me with this pls
Answer:
Add em both and set em equal to 180
20+(6x-2)=180
18+6x=180
6x=162
X=27
Answer:
6x-2+20=90
or,6x+18=90
or,6x=90-18
or,6x=72
or,x=72÷6
x=12
Use the word virtue in a complete and strong sentence about someone you know.
Answer:
Step-by-step explanation:
My friend is a virtue because he is very upright. The patience that he has is very virtuous, and during school, he shows high moral standards and you can see it by the grades he gets.
Hope this helped a little!
28 POINTS!!!!!! Solve for x. Please Help
Answer:
The third choice, [tex]x\leq -8[/tex]
Step-by-step explanation:
One way to do it is to substitute in the potential answers. I'll show you here.
Choice 1
[tex]2(-2)+3\leq (-2)-5[/tex]
[tex]-4+3\leq -2-5[/tex]
[tex]-1\leq -7[/tex]
We can see that this is false, so the answer cannot be choice 1.
Choice 2
[tex]2(2)+3\leq (2)-5[/tex]
[tex]4+3\leq 2- 5[/tex]
[tex]7\leq -3[/tex]
This is also false, so the answer cannot be choice 2.
Choice 3
[tex]2(- 8)+ 3\leq (-8)-5[/tex]
[tex]-16+3\leq -8-5[/tex]
[tex]-13\leq -13[/tex]
This is true. Let's see if choice 4 works.
Choice 4
[tex]2(8)+3\leq (8)-5[/tex]
[tex]16+3\leq 8-5[/tex]
[tex]19\leq 3[/tex]
This is not true. Therefore, 3 is correct.
Sarah started collecting coins last year.
She already collected 58, when she received another 21 from her parents.
She is expecting to get 12 more for her birthday next week.
How many coins is she going to have at the end of next week if her expectation is right?
Answer:91 coins
Step-by-step explanation:You add them all together the numbers which are 58 and 21 and 12.It gives you 91 coins in total.
Hope it helps :)
HELPPPPPPP PLEASEEEEE
Answer:
5^15
Step-by-step explanation:
if they have the same base then you add the two top vaules therfore giving you c.
Brainliest plzzzzzzz
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
please explain
Answer: y = 6; x = 12
Step-by-step explanation:
3x - 30 = y
Change this into an equation where x and y are in the same side.
3x - 30 = y
Subtract y from both sides
3x - y - 30 = 0
Add 30 to both sides
3x - y = 30
7y - 6 = 3x
Do the same thing I did to the first equation
7y - 6 = 3x
Subtract 3x from both sides
-3x + 7y - 6 = 0
Add 6 to both sides
-3x + 7y = 6
We can now use the system of elimination to find x and y.
3x - y = 30
-3x + 7y = 6
After adding both equations, you get:
6y = 36
Divide 6 from both sides
y = 6
Since we now know y, we can solve for x.
3x - 30 = y
Substitute y for 6
3x - 30 = 6
Add 30 to both sides
3x = 36
Divide both sides by 3
x = 12
Hope this helped!
Answer:
[tex]x = 12.y = 6[/tex]
Step-by-step explanation:
Restructuring
[3x - 30 = y
-3x - 6 =7y
[tex] \frac{ - 36}{ - 6} = \frac{ - 6y}{6} [/tex]
y=6
Sub 6 in equ II
7(6)-6=3x
[tex] \frac{36}{3} = \frac{3x}{3} [/tex]
x=12
Each table shows a proportional relationship between x and y. Match each table with its constant of proportionality.
x y
1 20
2 40
3 60
x y
2 80
8 320
12 480
x y
2 0.4
4 0.8
9 1.8
x y
7.5 4.5
10 6
17.5 10.5
0.6
arrowRight
0.2
arrowRight
20
arrowRight
40
arrowRight
Pls help:( HELP
As table shows a proportional relationship between x and y then constant of proportionality are 20, 40, 0.2 and 20 respectively
In the first table, the constant of proportionality is 20 because each value of y is obtained by multiplying the corresponding value of x by 20.
In the second table, the constant of proportionality is 40 because each value of y is obtained by multiplying the corresponding value of x by 40.
In the third table, the constant of proportionality is 0.2 because each value of y is obtained by multiplying the corresponding value of x by 0.2.
In the fourth table, the constant of proportionality is 20 because each value of y is obtained by multiplying the corresponding value of x by 20.
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Please help!!! I’ll mark brainliest!! (Look at picture)
Answer:
[tex]\huge\boxed{\sf (x*4) + (x*5) = 54}[/tex]
Step-by-step explanation:
[tex]\sf x(4+5) = 54\\\\Applying \ distributive \ property\\\\(x*4) + (x*5) = 54\\\\Distributive\ Property\ is:\\\\A(B+C) = (A*B)+(A*C)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Jenny purchased a prepaid phone card for $30.Long distance calls cost 12 cents a minute using this card. Jenny used her card only once to make a long distance call. If the remaining credit on her card is $24.84, how many minutes did her call last.
Answer:
43 min
Step-by-step explanation:
subtract $24.84 from $30 and you get $5.16 and you divide that by 12 cents which then you get 43 min
sinA.secA
__________ = tan²A
cosecA.cosA
Answer:
Please check explanations for answer
Step-by-step explanation:
Here, we want to show that the left hand side equals the right hand side
We can express the left hand side as:
sin A/ cos A * sec A/cosec A
kindly recall that;
sin A/cos A = tan A
Also;
sec A = 1/ cos A
cosec A = 1/ sin A
Thus, we have that ;
tan A * 1/cos A / 1 / sin A
= tan A * sin A/cos A
This is;
tan A * tan A = tan^2 A
You might need:
Calculator
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 4x2 – 484
lesser x =
greater 2 =
Answer:
x = -11, x = 11
Step-by-step explanation:
Zeros are when g(x) = 0:
[tex]0=4x^{2} -484[/tex]
[tex]0=4(x^{2} -121)[/tex]
[tex]0=x^{2} -121[/tex]
Factor:
[tex]0=(x-11)(x+11)[/tex]
[tex]0=x+11, 0=x-11[/tex]
[tex]x=-11, x=11[/tex]
You went bowling last weekend with your friends, and you had to pay $42.75 in total to rent your shoes and play multiple games. If the shoes cost you $9.00, and you paid $6.75 per game, how many games did you bowl?
Answer:
5
Step-by-step explanation:
42.75 - 9 = 33.75 (shoes)
33.75/6.75= 5 games
Answer:
Im d u m b
Step-by-step explanation:
OMG PLEASE HELP QUICK 7TH GRADE LEVEL
Answer:
26 Feet
Step-by-step explanation:
6 feet 6 inches x 4
Answer:
That would be about 26 feet.
Step-by-step explanation:
will give brainlest 5 stars and thanks
Answer:
96m
Step-by-step explanation:
L x W= A
12x8=96m
Answer:
above the 8 it would be another 8 then to the side it would be a 12 the ad them all up together or like this 8+8 =16 and 12+12=24 16+24 is 40
Step-by-step explanation:
if 15.5 gallons are $24.16, how much is it for one gallon
Answer:
$1.55870968
Step-by-step explanation:
24.16dollars/15.5gallons = 1.55870968dollars/gallon
I = $60, P = $750, r = 4%, t = ?. Find the amount of time.
Answer:
you need to be more specific.
Based on the graph shown, which features are correctly stated?
Answer:
A, B, & C.
that's features that correctly stated.
Find cos 0 for 0 = 30°
The 0 has a weird line through it
Answer: [tex]\frac{\sqrt{3}}{2}[/tex]
======================================================
Explanation:
The symbol [tex]\theta[/tex] is the greek letter theta. It's often used in trigonometry for angles.
In this case, [tex]\theta = 30^{\circ}[/tex]
So,
[tex]\cos(\theta) = \cos(30^{\circ}) = \frac{\sqrt{3}}{2}[/tex]
You'll need to use a reference sheet or the unit circle to determine the value of cos(30). Or you could use a 30-60-90 triangle template.
When using the unit circle, look in the upper right quadrant (which is quadrant 1). The angle 30 degrees is in this quadrant. Locate the terminal point and note how [tex]\frac{\sqrt{3}}{2}[/tex] is the x coordinate of the terminal point. This is due to [tex]x = \cos(\theta)[/tex]
Side note: [tex]\frac{\sqrt{3}}{2} \approx 0.866025[/tex]
What does sas stand for
Answer: Statistical Analysis System
Step-by-step explanation:
What is the slope of the line y = 2x + 5?
Hello! (:
y=2x-5
This equation is written in slope-intercept form (y=mx+b)
Where
m is the slope of the line (2)
b is the y-intercept (5)
Hope it helps! Please ask if you have any query.
~An excited gal
[tex]MagicalNature[/tex]
The slope of the line y = 2x + 5 is 2 obtained by comparing it with slope intercept form y=mx+b, where m is slope.
The slope represents the rate at which the line is increasing or decreasing as you move along the x-axis.
The slope of a linear equation in the form y = mx + b is represented by "m."
In this case, "m" is 2, which means the slope of the line y = 2x + 5 is 2.
Since the slope is positive (2), it means that as x increases by 1 unit, y increases by 2 units, and as x decreases by 1 unit, y decreases by 2 units.
The slope of 2 indicates that the line is inclined, and it rises at a steady rate of 2 units for every 1 unit moved to the right along the x-axis.
Hence, slope of the line y = 2x + 5 is 2.
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The original price of a video game is $32.99 before tax. When Mario bought the video game it rang up as $26.39 before tax. He then paid 8% sales tax on the discounted price.
Part A: What is the percent discount on the game? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Mario paid for the video game including tax? Show all work and steps in your solution.
Answer:
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.
Step-by-step explanation:
Given that:
Part A:
Original price of video game = $32.99
Discounted price = $26.39
Amount of discount = 32.99 - 26.39 = $6.60
Discount percent = [tex]\frac{Amount\ of\ discount}{Original\ price}*100[/tex]
Discount percent = [tex]\frac{6.60}{32.99}*100 = 0.20*100[/tex]
Discount percent = 20%
Part B:
Sales tax = 8% of discounted price
Amount of sales tax = [tex]\frac{8}{100}*26.39 = 0.08*26.39[/tex]
Amount of sales tax = $2.11
Total amount = $26.39 + $ 2.11 = $28.50
Hence,
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.
The amount of increase , divided by the original amount, equals the ____of increase
Answer: percent
Step-by-step explanation: i know stuff and btw i hope this helps