Answers
Step-by-step explanation:
Here is Slope-Intercept Form for a line: y=mx+b
m is the slope
b is the y intercept
The y intercept is basically the point on the y axis where the line touches.
I will do #3 for you.
Let's first look for the y intercept. We can see that the line touches the y axis at -4, so that's it.
Let's put it into our equation, plugging in -4 for b. This is what we have so far: y=mx-4
To complete this equation, we still need to find the slope, m.
To find it, look at the point where the y intercept is, and count how many units you need to go up or down the y axis, and then right or left the x axis to get to another point on the line. The slope is equal to the change in y ÷ the change in x.
So we see that there's another point on (-3, -2), so let's try to get there from the y intercept.
We need to move two units up and 3 to the left.
In terms of y, we went up +2, and in terms of x, we went down -3
So our slope is 2/-3 or -2/3.
Now that we have our slope (m) and y intercept (b), we can plug it into out Slope-Intercept Equation, plugging in -2/3 for m:
y=-2/3x-4.
We don't need to find x or y. This is our answer for 3. Using the same method, you should be able to find the equations for the rest of the graphs. Good luck.
Related Questions
Your goal in training for the race is to run more than 50 miles per week. So far this week you have run 32 miles. Which inequality represents the situation?
A. d - 32 > 50
B. d + 32 ≥ 50
C. d ≥ 18
D. d + 32 > 50
Answers
Answer:
the answer is D
Step-by-step explanation:
You have to run MORE than and not just 50 miles, because of this it wont be B, it wont be A because you have run it already.
5(x −1) < 3x + 10 − 8x
Answers
Answer:
x < [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
I hope this help
Answer:
Step-by-step explanation:
5x - 5 < -5x + 10
10x - 5 < 10
10x < 15
x < 15/10
x< 3/2
How does place value help us divide?
Answers
Answer:
Place value allows us to take complicated addition subtraction, multiplication, and division problems and reduce them to simpler problems. We do this by breaking down problems according to their place value or tens hundreds, and thousands.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Place value allows us to take complicated addition, subtraction, multiplication, and division problems and reduce them to simpler problems. We do this by breaking down problems according to their place value, or tens, hundreds, and thousands.
Hope this helps!!!
At the market five lightbulbs cost nine dollars how much do seven lightbulbs cost
Answers
Answer:
$12.60
Step-by-step explanation:
Answer:
12.60
Step-by-step explanation:
9 dollars divided by 5 lightbulbs is 1.8
so 1.80 dollars × 7 lightbulbs = 12.60
9÷5=1.8
1.8×12.60
The scatterplot below shows the average yearly consumption of bottled water by people in the United States starting in 1990. Using the trend line, predict the average consumption of bottled water in the year 2000.
Answers
Find value if x in the figure below
Answers
Easy buddy...
[tex]5x - 15 = 3x + 7[/tex]
Subtract the sides of the equation plus 15
[tex]5x = 3x + 7 + 15[/tex]
[tex]5x = 3x + 22[/tex]
Subtract the sides of the equation minus 3x
[tex]5x - 3x = 22[/tex]
[tex]2x = 22[/tex]
Divided the sides of the equation by 2
[tex]x = \frac{22}{2} \\ [/tex]
[tex]x = 11[/tex]
________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
what is f(-2) if f(x)=x^2+3
Answers
Answer:
f(-2)=7
Step-by-step explanation:
substitute -2 in for x
[tex]f( - 2) = { - 2}^{2} + 3[/tex]
-2×-2=4
4+3=7
Answer:
f(-2)=7Step-by-step explanation:
[tex]f(x)=x^2+3\\\\f(-2)=?[/tex]
Substitute ; -2 for x in the given function
[tex]f(-2)= (-2)^2+3\\\\\mathrm{Calculate\:exponents}\:\left(-2\right)^2\::\quad 4\\\\f(-2)=4+3\\\\f(-2)=7[/tex]
If f(x)=3x-1 and g(x)=x+2, find (f+g)(x)
Answers
Answer:
4x+1
Step-by-step explanation:
Assume you have 3,000 songs downloaded to your mobile phone. Of these songs, 50 songs are by your favorite artist. If you play the songs on random shuffle, how many songs would you have to listen in a row before you heard a song by your favorite artist?
Answers
Answer:
2950
Step-by-step explanation:
i just subtracted 3,000 with 50
There are 2950 songs would you have to listen in a row before you heard a song by your favorite artist.
What is random shuffle of songs?
Shuffle play is a type of music playback in which all tracks are selected at once and songs are played in a random order. Media player software, digital audio players, and CD players all frequently have it.
Given: You have 3,000 songs downloaded to your mobile phone.
Of these songs, 50 songs are by your favorite artist.
So, the number of songs would you have to listen in a row before you heard a song by your favorite artist are,
3000 - 50 = 2950.
Therefore, there are 2950 songs would you have to listen in a row before you heard a song by your favorite artist.
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Choose a justification for each step in the derivation of the sine difference identity.
Answers
Answer:
Step-by-step explanation:
The missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even and sine function is odd respectively.
Given:
The given expression is [tex]\sin (x-y)[/tex].
To find:
The justification for each step.
Explanation:
Cofunction identities:
[tex]\sin\left(\dfrac{\pi}{2}-x\right)=\cos x[/tex]
[tex]\cos\left(\dfrac{\pi}{2}-x\right)=\sin x[/tex]
Cosine difference identity:
[tex]\cos(x-y)=\cos x\cos y+\sin x\sin y[/tex]
Cosine function is even, so [tex]\cos(-x)=\cos x[/tex].
Sine function is odd, so [tex]\sin(-x)=-\sin x[/tex].
We have,
[tex]\sin (x-y)[/tex]
[tex]=\cos\left|\dfrac{\pi}{2}-(x-y)\right|[/tex] Step 1: Cofunction identity
[tex]=\cos\left|\dfrac{\pi}{2}-x+y\right|[/tex] Step 2: Distributive property
[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)+y\right|[/tex] Step 3: Associative property
[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)-(-y)\right|[/tex] Step 4: Factoring out
[tex]=\cos\left(\dfrac{\pi}{2}-x\right)\cos(-y)+\sin\left(\dfrac{\pi}{2}-x\right)\sin(-y)[/tex] Step 5: Cosine difference identity
[tex]=\sin(x)\cos(-y)+\cos(x)\sin(-y)[/tex] Step 6: Cofunction identity
[tex]=\sin(x)\cos(y)-\cos(x)\sin(y)[/tex] Step 7: Cosine function is even, sine function is odd
Therefore, the missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even, sine function is odd respectively.
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Store ABC began business 5 years ago. The graph below shows the store’s profit for those 5 years.
Question
Make a table showing the relationship between the year in business and profit.
Answers
Answer:
Check the pictures above.
Pls help with question 7
Answers
Answer:
please check the image for the answer
Given the points (2,4),(-2,6),(1,3), and (0,3), categorize the domain and range.
Domain
Range
No Answers Chosen
ING
1
Possible answers:
2
3
All real numbers
-2
0
4
6
2
3
4
Answers
Answer: range: 3, domain: 4
Step-by-step explanation:
the range of a problem is basically the difference between the smallest and the largest y value. the largest y value here is 6 and the smallest is 3, so 6-3 = 3 -> 3 is your range! now for domain: the domain of a problem is the difference between the smallest and largest x value. the largest x value is 2 and the smallest is -2, so 2 - -2 = 4 -> the domain is 4! hope this helped!
Please help for 50 points
Answers
Answer:
sometimes
never
always
sometimes
Step-by-step explanation:
Answer:
sometimes
never
always
sometimes
Step-by-step explanation:i did this...i got it correct
if 1 cm represents 35 miles what is 1.25 cm in miles?
Answers
Answer:
43.75 miles
Step-by-step explanation:
You divide the 35 by 4 and then just add it to the original distance of 35 miles. 35/4=8.75
8.75+35=43.75
I need help finding the solution
Answers
✩ Answer:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
[tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Subtract [tex]5[/tex] from both sides:
[tex]3z<17-5[/tex]✺ Subtract [tex]5[/tex] from [tex]17[/tex] to get [tex]12[/tex]:
[tex]3z<12[/tex]✺ Divide both sides by [tex]3[/tex]. Since [tex]3[/tex] is positive, the inequality direction remains the same:
[tex]z<\frac{12}{3}[/tex]✺ Divide [tex]12[/tex] by [tex]3[/tex] to get [tex]4[/tex]:
[tex]\boxed{z<4}[/tex][tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
"ටᆼට"
Four time the sum of twice a number and six is thirty-two. Find the number
Answers
Answer:
4(2x+6)=32 x= 1
Step-by-step explanation:
multiply 4 to 2x and 6= (8x+24)=32
then subtract 24 from 32 = 8
then divide 8 from both sides
8x/8=8/8
x=1
An equation is formed of two equal expressions. The unknown number is 1.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the unknown number be represented by x.
The given statement can be written in the form of an equation as shown below.
Twice of a number → 2xSum of twice a number and six → 2x + 6Four-time the sum of twice a number and six → 4(2x + 6)Four-time the sum of twice a number and six is thirty-two→ 4(2x + 6) = 32
The given equation can be solved as shown below.
4(2x + 6) = 32
Open the parenthesis by multiplying 4 inside the parenthesis,
8x + 24 = 32
Subtract 24 on both sides of the equation,
8x + 24 - 24 = 32 - 24
8x = 8
Divide both sides of the equation by 8,
8x/ 8 = 8/8
x = 1
Hence, the unknown number is 1.
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Lisa has t toy cars. Gordon has 19 times as many toy cars as Lisa. Choose the expression that shows how many toy cars Gordon has.
Answers
Answer:
19 times t = how many toy cars Gordon has.
OR
19t= how many toy cars Gordon has
For each set of sequences, find the first five terms. Then compare the growth of the arithmetic sequence and the geometric sequence. Which grows faster? When? Anthmetic sequence: f(1) = 2; common difference: d = 3 Geometric sequence: g(1) = 2; common ratio: r = 3 Arithmetic Geometric 9(2) which value do you think will be more, f(100) or (100)? Why? (100)
Answers
Answer:
yx(yx)-x11
Step-by-step explanation:
its the x-axis can contribute with the center so it makes since so its yx(yx)-x11
PLEASE SOMEONE HELP ME ASAP!!! I’ll make you BRAINLIEST!!!!
Write y=2x^2+24x+47 in vertex form. Also please explain/write the steps thanks.
Answers
Answer:
y=(2x^2+24x)+25
y=2x(x^2+12x)+25
y=2x(x^2+12x+36)+25-2x(36)
Y=2x(x+6)^2+25-72
Y=2x(X+6)^2-47
Step-by-step explanation:
sorry it was late
Answer: y=2(x+6)²-5
Step-by-step explanation: First you find the coefficient of x^2, which is 2, then take out 2 as a factor, 24/2 which will equal to 12. After that do 47 divided by 2 if you calculate that it will equal to 23.5. y=2(x²-12+23.5) y =2(x²-12x+23.5)
Next Step: Figure out the coefficient of x. To make it easier,look what is in front of x as you can see it is 12. Then you divide 12/2 which is 6. Then square 6, which is 36. Then you add and subtract 36. To write the first three terms as a square, you do ( x+6)^2. Then do -36 + 23.5 if you calculate that it will get you wil get -12.5 . Now that you have calculated that distribute 2, then do 2 times -12.5 which is -12.5. This is how it shoud look like y=2(x+6)² -12.5.
The equation of the line parallel to y−6=
1
8(x+6) that passes through Q(5,−5) is
Answers
Answer:
y+5=0
Step-by-step explanation:
go to desmos graphing calculator and
put the y-6=1
and the points (5,-5)
and y+5=0 and you see that this equation is parallel and goes through (5,-5)
6x +3 = 6x -20 - x equations with variables
Answers
6x+3=5x-20
6x+23=5x
23= -x
x= -23
the final answer is -23
-4(–7m – 10m – 4) – 2m
Answers
Answer:
Im assuming you need to simplfy as far as you can so
Step-by-step explanation:
-4 ( -17m -4 ) - 2m
distribute
68 m + 16 -2m
combine like terms
66m + 16
Answer: 66m + 16
Step-by-step explanation:
9) A canoe rental company charges a $20 transportation fee and $30 an hour to rent a canoe. Which of the following inequalities would you use to find out how many hours James could rent a canoe if he could only spend at most $200? a. 20x + 30 < 200 b. 20x + 30 > 200 30x + 20 < 200 d. 30x + 20 > 200 C.
Plz hurry
Answers
Answer:
30x + 20 < 200
Step-by-step explanation:
Given parameters:
Transportation fee = $20
Charge per hour = $30/hr
Unknown:
Inequality representing then number of hours if he has $200 = ?
Solution:
Let the number of hours = x
At most is interpreted in inequality term as <, less than a certain amount;
For x hours,
30x + 20 < 200;
gives the number of hours James have access to the canoe if he has at most $200
1)For every 90 minutes of sleep, a person has one dream stage. Rachael went to bed at 10:00 P.M. and woke up at 5:30 A.M. . How man dream stages did she likely have ? REMEMBER: 1 hour= 60 minutes. *
9 points
A) 5
B) 6
C)9
D)10
2) Ms. Lopez has $118 for tickets at the Sports Fun Park. She needs to buy 1 adult ticket for $19. How many child tickets can she buy if child tickets cost $12 each?
10 points
A) 5 child tickets
B) 6 child tickets
C) 7 child tickets
D) 8 child tickets Giving 35 points dont answer just for points
Answers
Answer:
1) a. 5
2) d. 8 child tickets
Step-by-step explanation:
1) added 90 minutes until 530
2) 118-19=99 99÷12=8.25
Analyze the number line below and answer the question that follows.
If jpg, where could point I be?
A.
–7
B.
–6
C.
–5
D.
–4
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
c
Step-by-step explanation:
Tammy purchased a prepaid phone card for $15. Long distance calls cost 18 cents a minute using this card. Tammy used her card only once to make a long
distance call. If the remaining credit on her card is $6.72, how many minutes did her call last?
Answers
Answer:
46 minutes
Step-by-step explanation:
Sorry about not answering your question sooner, but here is your answer:
In order to get the answer, we have to subtract the original amount of money on the phone card by the amount left ver after the call:
15 - 6.72 = 8.28
Then, we divide this number by 0.18:
8.28 / 0.18 = 46
So, Tammy's call lasted 46 minutes
Hope this helps :)
Solve x2 − 8x + 15 < 0. The solution set for the quadratic inequality is:
Answers
Answer:
3<x<5
Step-by-step explanation:
[tex]x^2 - 8x + 15 < 0\\\\\mathrm{Factor}\:x^2-8x+15:\quad \left(x-3\right)\left(x-5\right)\\\left(x-3\right)\left(x-5\right)<0\\\\\mathrm{Find\:the\:signs\:of\:the\:factors\:of\:}\left(x-3\right)\left(x-5\right)\\\\\mathrm{Identify\:the\:intervals\:that\:satisfy\:the\:required\:condition:}\:<\:0\\\\3<x<5[/tex]
If the pattern indicated below continued, what would be the total number of cubes in the 8th stage of the pattern?
1, 1+4=5, 1+4+9=14
Answers
Answer:
The number of cubes in the 8th stage of the pattern is 204
Step-by-step explanation:
Here, we want to calculate simply the 8th term of the pattern
T1 = 1
T2 = 1 + 4 = 1 + 2^2 = 5
T3 = T2 + 3^3 = 5 + 9 = 14
T4 = T3 + 4^2 = 14 + 16 = 30
T5 = T4 + 5^2 = 30 + 25 = 55
T6 = T5 + 6^2 = 55 + 36 = 91
T7 = T6 + 7^2 = 91 + 49 = 140
T8 = T7 + 8^2 = 140 + 64 = 204
7 + 9 – (–3) – 1 + 2
Answers
Answer: 20
Step-by-step explanation:
Hope helps
Answer:
7 + 9 - (-3) - 1 + 2
16 - (-3) - 3
19 - 3
16