Answers
[tex]\huge\boxed{y=-\frac{4}{3}}[/tex]
To find the equation for a line in slope-intercept form, we need to find the slope and the y-intercept.
The y-intercept is easy to find. It's just the value of [tex]x[/tex] when [tex]y=0[/tex]. In this case, the y-intercept is [tex]0[/tex] since the line goes through the origin.
To find the slope, we use the slope formula, where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are two known points. In this case, we'll use the only two points we have: [tex](0, 0)[/tex] and [tex](-3, 4)[/tex]
[tex]\begin{aligned}m&=\frac{y_2-y_1}{x_2-x_1}\\&=\frac{4-0}{-3-0}\\&=\frac{4}{-3}\\&=-\frac{4}{3}\end{aligned}[/tex]
Finally, we put it all together in slope-intercept form, where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
[tex]y=mx+b\\y=-\dfrac{4}{3}x+0\\\boxed{y=-\frac{4}{3}}[/tex]
Related Questions
what is the y-intercept of the graph that is shown below? A. (-2, 0) B. (-1, 2) C. (0, 4) D. (4, 0)
Answers
Please help me by answering the following questions!!
Answers
Answer:
1. A number having 2, 3, 7 or 8 at unit's place is never a perfect square. In other words, no square number ends in 2, 3, 7 or 8. The number of zeros at the end of a perfect square is always even. In other words, a number ending in an odd number of zeros is never a perfect square.
2. Only those numbers, when squared will have 6 at their unit place are 4 and 6 Because 4×4 = 16 and 6×6 = 36(i dont know if this is what you were looking for)
3. the square root of 24336 consists of three digits and those digits are 156
Step-by-step explanation:
i am sorry my brain hurts lol, i will answer the 7 other questions later
When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?
Answers
Katlyn sent 34,008 text messages last
year. If she sent the same number of
texts each month, how many messages
did she send in one month?
Answers
Answer:
2,834 texts
Step-by-step explanation:
There are 12 months in a year so divided the total number of texts by 12 then that will give you the monthly number of texts sent
If you divide the number of text messages (34,008) by the number of months in a year (12) you get 2834.
Will mark brainliest
Number 1 and 3
Answers
Answer: Q1=20 Q2=39
Step-by-step explanation:
For question one all you have to do is multiply 20x35x8 giving you 5600. For question two just multiply 39x7x8 giving you 2184. Beat of luck.
What is an equation of the line that passes through the point (3,-1) and has a slope of 2?
Answers
y=2x-1
or
y=2x+(-1)
hope this helps:)
X-3=2(y+1)
X-3=2y+2
X-3-2y-2=0
Hope this helps ;)
Helpp-Find the measure of angle SRT!!!!!
Answers
180-50 you get 130 and if u divide by 2 you get 65
Miranda and Savannah are excited that a new store just opened in town! They go together the first day it opens! Each time Miranda goes to the store she plans to spend $7dollar sign, and each time Savannah goes to the store she plans to spend $9.A few weeks from now, Miranda and Savannah are surprised to find out that they have spent the exact same total amount of money at the store.
Answers
Answer:
Miranda made 9 visits to the store and Savannah made 7 visits to the store
Step-by-step explanation:
To find how many times Miranda and Savannah went to the store we would need to find the Greatest Common Multiple of the amount that each of them spends per visit. We do this by simply going through each of these numbers' times tables until we find a common one.
7 * 1 = 7 9 * 1 = 9
7 * 2 = 14 9 * 2 = 18
7 * 3 = 21 9 * 3 = 27
7 * 4 = 28 9 * 4 = 36
7 * 5 = 35 9 * 5 = 45
7 * 6 = 42 9 * 6 = 54
7 * 7 = 49 9 * 7 = 63
7 * 8 = 56
7 * 9 = 63
Finally, we can see that the first time that both Miranda and Savannah have spent the exact same amount would be when Miranda made 9 visits to the store and Savannah made 7 visits to the store. Each of which wasted $63
Simplify the expression i⁸²
Answers
Answer:
We can use a trick here. Let's look at the first few exponents of i to realize this:
i^0 = 1
i^1 = i
i^2= -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.
Step-by-step explanation:
The sum of 5 consecutive integers is 505,
What is the third number in this sequence?
Answers
Answer:
101
Step-by-step explanation:
hope that helps
What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.
Answers
Answer:
the slope is 4/3
Step-by-step explanation:
Fuseina has ¢40000 to invest.She decides to put part of the money in an account paying 4% interest and the reminder into stocks paying 6% interest . Her financial advisor tells her that the total annual income from these investments should be¢2040. How much should she invest at each rate?
Answers
Answer:
The amounts invested in the account = ¢ 18000
and the amount invested in the stock = ¢40000-¢18000= ¢22000.
Step-by-step explanation:
Given that the account paying 4% interest and the stocks paying 6% interest.
Assuming she put ¢ x in the account, so
Income (interest) from the account = 4% of x = ¢ 0.04x...(i)
She has a total of ¢ 40000 to invest, so the remaining amount = ¢(40000-x).
As she put the remaining amount into stock, so
Income (interest) from the stock=6% of (40000-x)=¢(2400-0.06x)...(ii)
As total income from the investment is ¢ 2040, so on adding both the incomes from equations (i) and (ii), we have
[tex]2040=0.04x + (2400-0.06x) \\\\\Rightarrow 2040=2400 - 0.02x \\\\\Rightarrow 0.02x = 2400-2040=360 \\\\\Rightarrow x = 360/0.02=18000.[/tex]
So, the amount invested in the account = ¢ 18000
and the amount invested in the stock = ¢40000-¢18000= ¢22000.
If you are making a scale drawing of a girrafe that is 6m tall, and the height of the girrafe in your drawing is 3cm, what is the scale of the drawing?
Answers
Answer:
1cm to 200cm
Step-by-step explanation:
l of giraffe = 6m = 600cm
l of giraffe drawing = 3cm
scale = drawing : real = 3 : 600 = 1 : 200
Therefore the scale is 1cm to 200cm
Visitors to the Royal Ranch Golf Paradise shoot an average of 88 on their 18-hole golf course. The standard deviation is 12. Between what two values does 68% of the data fall between?
Answers
Answer:
76 and 100
Step-by-step explanation:
We solve this question busing Empirical rule.
Empirical rule states that:
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ
From the above question,
Mean = 88
Standard deviation = 12
Hence,
μ - σ
= 88 - 12
= 76
μ + σ
= 88 + 12
= 100
The two values that 68% of the data falls withing is 76 and 100
Ramon and justine are both watching brodcast both star at 7:00 a.M and ends at 9:00 a.M one one shows commercials every 17 minutes and 14 minutes. When will commercials show at the same time
Answers
Answer:
1:58 minutes after the showStep-by-step explanation:
Step one:;
given data
start time= 7:00 am
end time= 9:00 am
we are told that one broadcast shows commercial every 17minutes
and the other shows commercials every 14 minutes
now the time when they both sho commercial is given by the greates common multiple of the times 17 and 14
multiples of 17= 17,34,51,68,85,102,119,136,153,170,187,204,221,238
multiples of 14= 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238
for the number above 238 is common to both
238minutes to hours= 3.96667
=3:58 minutes
this shows that commercials will show at the same time 1:58 minutes after the show
Sally baked 28 brownies with 4 scoops of flour. With 5 scoops of flour, how many cookies can she bake?
Answers
Answer:
28 brownies - 4 scoops
x brownies - 5 scoops
Cross multiply and we get:
140 = 4x
Divide both sides by 4:
140/4 = 4x/4
35 = x
Hence, 5 scoops of flour will bake 35 brownies
Step-by-step explanation:
28/4=7
7 x 5 = 35
35 cookies
If your good at math PLEASE HELP ME!
Katherine bought some cans of sardines and corned beef. She gave the store owner Php 200 as payment. However, the owner told her that the amount is not enough. What could be the reasons? What mathematical statement would represent the given situation?
Answers
Answer:
need more info
Step-by-step explanation:
i need more information to answer this
Paul earns $7 per hour at the bagel
shop and $12 per hour mowing lawns.
Paul needs to earn at least $120 per
week, but he must work less than
30 hours per week. Write and graph
the system of linear inequalities that
describes this situation.
Answers
Answer:
he can work 10 hours mowing lawns and will get exactly $120!
Step-by-step explanation:
whats the place value of the decimal in the number 125.6
Answers
Answer:
in between the ones and the tenths place
Step-by-step explanation:
so it would be in the ones place
The cost of a cell phone plan varies directly with the amount of data included. A 0.5 GB plan costs $14.95 per month. How much does a 3 GB plan cost?
Answers
Answer:
Step-by-step explanation: D. (24, 12), (36, 0)
Determine the two numbers between which v~2
OA 1.2 and 13
B.
1.4 and 1.5
c. 1.5 and 1.6
OD 1.3 and 1.4
Answers
Answer:
A
Step-by-step explanation:
i have the picture as a link
Answers
Answer:
21 is your answer
2 1
3 2 | 6 7 2
6 4
3 2
3 2
Jacqui needs 8 cups of sugar to make 12 batches of cookies. What is the proportional equation that represents the situation?
Answers
Answer:
4
Step-by-step explanation:
The proportional equation that represents the situation is k=2/3.
Given that, Jacqui needs 8 cups of sugar to make 12 batches of cookies.
We need to find what is the proportional equation that represents the situation.
What is the proportional equation?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Based on the type of relationship two or more quantities share, the proportion can be classified into different types. There are two types of proportions.
Direct ProportionInverse ProportionThe number of cups of sugar used to make batches of cookies is a direct proportion.
8∝12
⇒8=12k
⇒k=8/12
⇒k=2/3
Therefore, the proportional equation that represents the situation is k=2/3.
To learn more about the proportional equation visit:
https://brainly.com/question/15179946.
#SPJ6
Emma needs some steel bolts to finish a patio deck project. If five steel bolts cost
$3.50, how much would 35 steel bolts cost?
Answers
Answer:
Step-by-step explanation:
$24.5
This will be given 100 points, after it has been answered!
Answers
The answer to 2+2 isnt 4 ill show you why
So you need to do f(x) 5x^2+3x-19+3
You would simplify the equation to get to y=4x+5f(x)+2
Naturally you would now graph the equation to a linear degree but still inducing a parabellum, y-(d-3)=0
Then solve using the square method (b/2)^2=(6)^2
Then put the 6 on both sides of the equation.
6^2+w0+8x+7t^2
After you get hydrogen oxide as your answer please note: Puenomia can only occur inside the respatory system.
There ya go: 18.
Answers
wow you are so smart
1,200 tv; 10%discount
Answers
Answer:
The TV would cost $1,080.
Step-by-step explanation:
The discount would be $120. So $1,200 - $120 = $1,080.
Q2) f(x) = 2X^2 - 5x, g(x) = 3x^3 find g(5)
Answers
Answer:
g(5) = 375
Step-by-step explanation:
g(x) = 3x³
g(5) = 3(5)³
g(5) = 3(125)
g(5) = 375
The required value of g(5) is 375. which is determined by substituting the value of x = 5 in the function of g(x).
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The functions are given in the question,
f(x) = 2x² - 5x, g(x) = 3x³
We have to determine the value of g(5).
⇒ g(x) = 3x³
Substitute the value of x = 5 in the function of g(x) and then evaluate
⇒ g(x) = 3x³
⇒ g(5) = 3(5)³
Here (5)³ = 5 × 5 × 5 = 125
⇒ g(5) = 3(125)
Apply the multiplication, and we get
⇒ g(5) = 375
Therefore, the required value of g(5) is 375.
Learn more about the functions here:
brainly.com/question/12431044
#SPJ2
Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle.
1. Set up the proportion: StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction
2. Use cross product: 9(16) = 6x
3. Simplify:
144 =
4. Divide:
= x
Answers
Answer:
x = 24
Step-by-step explanation:
9/6 = x/169(16)= 6x144 = 6xx = 144/6x = 24The double number line shows that to make 4 apple pies takes 14 pounds of apples.Select the double number line that correctly labels the number of pounds of apples that are needed to make 1 , 2, and 3 pies.
Answers
Answer:
The number of pounds of apples that are needed to make
1 pie = 3.5 pounds of Apples
2 pies = 7 pounds of Apples
3 pies = 10.5 pounds of Apples
Step-by-step explanation:
The double number line shows that to make 4 apple pies takes 14 pounds of apples.Select the double number line that correctly labels the number of pounds of apples that are needed to make 1 , 2, and 3 pies.
Hence;
For 1 pie
4 apple pies = 14 pounds of apples
1 apple pie = x pounds
4 apple pies × x pounds = 1 apple pie × 14 pounds of apples
x pounds = 1 apple pie × 14 pounds of apples/4 apple pie
x pounds = 3.5 pounds of apples
For 2 pies
4 apple pies = 14 pounds of apples
2 apple pies = x pounds
4 apple pies × x pounds = 2 apple pies × 14 pounds of apples
x pounds = 2 apple pies × 14 pounds of apples/4 apple pie
x pounds = 7 pounds of apples
For 3 pies
4 apple pies = 14 pounds of apples
3 apple pies = x pounds
4 apple pies × x pounds = 3 apple pies × 14 pounds of apples
x pounds = 3 apple pies × 14 pounds of apples/4 apple pie
x pounds = 10.5 pounds of apples