Answers
Answer:
y=4x-3
Step-by-step explanation:
We're given that the equation is linear (a line), so it must be in the form y=mx+b. We're also given that it contains the points (0,-3) and (1,1).
Plugging the values of the x and y coordinates in that first point, we get the equation -3=m*0+b, simplifying to -3=b. Therefore, the b-value is -3.
Next, we can plug in the values from the second point to get the equation 1=m*1-3, which simplifies to 1=m-3. Adding 3 to both sides, we get m=4. Therefore, the equation of the line is y=4x-3.
Note that -3 is the value where the line intercepts the y-axis, which means -3 is known as the y-intercept. The value of b is always the y-intercept.
Related Questions
Kendra knits hats. She starts with 334 yd of yarn. After knitting for 514 h, there is 118 yd of yarn left. At what rate does the amount of yarn change? Show your work.
Answers
Answer:
Step-by-step explanation:
Total yarn = 334 yards
Amount remaining = 118 yards
Amount knitted = 512
amount per hat =x
amount used = y
amount used = 334 - 118 = 514*x
y= 216= 514x
216 = 514 x Divide by 514
216/514 = x
.42 yards/hat = x
how many times does 67 117
Answers
Evaluate the function: f (x)=4x-1. Find f (5)
Answers
Answer:
f(5)= 4(5)-1
=20-1
=21
The evaluated value of f(5) is 19, which is determined by performing the arithmetic operations.
The linear function is given as follows:
f(x) = 4x - 1
To evaluate the function f(x) = 4x - 1 and find f(5), we substitute x = 5 into the function.
f(5) = 4(5) - 1
= 20 - 1
= 19
Therefore, f(5) is equal to 19.
The function f(x) = 4x - 1 represents a linear equation. In this case, when x is equal to 5, the value of f(x) can be calculated by substituting x = 5 into the equation.
By performing the necessary arithmetic operations, we find that f(5) is 19.
Learn more about the functions here:
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Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
3%
?
Answers
Answer:
4.50
Step-by-step explanation:
Answer:
Sales tax:1.50, total cost:51.50
Step-by-step explanation:
price x sales tax rate = sales tax
50 x .03 (3%) = 1.50 sales tax
price + sales tax = total cost of item
50 + 1.50 = 51.50
Solve for x. What type of angles
are they?
112ºxº
Answers
Answer:
x=68
Step-by-step explanation:
180-112=68
180=112+x
stright line is 180 degrees
5s - (-6s – 10) < 5s + 9 + 5s
Answers
Answer:
see in picture
...........
What is the slope of the line through (2,-2)and(9,3)?
Answers
Answer:
5/7
Step-by-step explanation:
y2-y1/x2 -x1
3 - (-2)/9-2
3+2/9-2
5/7
Answer:
M=5/7Step-by-step explanation:
Hope this helps!! Please consider marking brainliest! Have a good one!!
During the school day, you spend 2 hours in math, 1 hours in science, 2 hours in ELA and 1 hour in art and 2 hours at a friends house studying for your math tests. What percent of the time do you spend at your friend's house studying for your math tests?
Answers
Answer:
Step-by-step explanation:
More than two hours of homework may be counterproductive, research suggests. GSE scholar Denise Pope finds that students in high-achieving schools who spend too much time on homework experience more stress and health problems. ... Students in these schools average about 3.1 hours of homework each night
Questions in pic plz help
Answers
Answer:
i think its c
Step-by-step explanation:
What’s the domain and range of a horizontal line?
What’s the domain and range of a vertical line?
Answers
The horizontal line has infinite domains but a range that has only one value.
The vertical line has a domain is the -intercept, and its range is "all real numbers."
Given that,
The horizontal and vertical lines.
Since we know that,
Linear functions always have infinite domains and ranges.
The exception is when the graph is a horizontal line.
This happens for functions that equal a constant such as f(x) = a. These functions have infinite domains but a range that has only one value, a.
And, A vertical line that is the -axis has an infinite number of -intercepts. A vertical line is not a function;
Hence its domain is the -intercept, and its range is "all real numbers."
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Which statement best describes the behavior of the graph of 3x − 4y = 8?
A. The graph is a vertical line.
B. The graph is a horizontal line.
C. The graph is rising as x increases.
D. The graph is falling as x increases.
Answers
Answer:
B. The graph is a horizontal line.
Step-by-step explanation:
brainest plz
Pls help me with the answer
Answers
Answer:
I found out the answer, it's 2/3
Step-by-step explanation:
I hope that helped!
will make brainleist find the value of ar in the figure below if re is parallel to bc show your work
Answers
The value of the variable x is 5. Then the value of length AR will be 2.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle ΔABC is given.
There is a line segment RE which is parallel to the BC.
Then the triangle ΔABC and triangle ΔARE will be the similar triangles.
Then the ratio of the corresponding side will be constant.
(x – 3) / (x – 1) = 5 / 10
2(x – 3) = x – 1
2x – 6 = x – 1
x = 5
Then the value of AR will be
AR = x – 3
AR = 5 – 3
AR = 2
More about the triangle link is given below.
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Very much need help
Answers
Simplify> 29x+6 =180
Take away 6 each side
29x=180
Divide both sides by 29 and there’s your answer
how do you find the y - intercept (explain in sentences)
Answers
i have a question, what is a number increased by twelve? in expression symbols . . .
Answers
Answer:
well it would be +12, does that answer your question?
Which one should I choose
Answers
Answer:
-32
Step-by-step explanation:
((−4)(4))(2)
=−32
Answer:
-32
Step-by-step explanation:
hope this helps you out
2(4x-1) = -8x-2 no solution or infinitely many solution
Answers
Answer:
One solution only.
Step-by-step explanation:
2 ( 4x - 1 ) = -8x - 2
8x - 2 = -8x - 2
0 = 0
One solution only.
In a survey of 10 musicians, 2 were found to be left-handed. Is it practical to construct the
90% confidence interval for the population proportion, p?
Answers
Answer:
-0.0081<p<0.4081
Step-by-step explanation:
Using the formula for calculating the confidence interval expressed as;
CI = p±z√p(1-p)/n
p is the proportion = x/n
n is the sample size
x is the amount that are left-handed
p = 2/10
p = 0.2
z is the z score at 90% CI = 1.645
Substitute the values into the formula;
CI = 0.2±1.645√0.2(1-0.2)/10
CI = 0.2±1.645√0.2(0.8)/10
CI = 0.2±1.645√0.16/10
CI = 0.2±1.645√0.016
CI = 0.2±(1.645*0.1264)
CI = 0.2±0.2081
CI = (0.2-0.2081, 0.2+0.2081)
CI = (-0.0081, 0.4081)
hence the 90% confidence interval for the population proportion, p is expressed as -0.0081<p<0.4081
What is 38,050,000 expressed in scientific notation?
O A. 3.805 x 108
O B. 0.3805 x 108
O C. 0.38 x 10-8
O D. 3.805 x 107
Answers
Answer:
I think it is 3.805 × 10 to the 7th power
Step-by-step explanation:
Hope this helps!
Answer should be B/0.3805 x 108
Step-by-step explanation:
if I'm wrong please tell me and I will try to correct it :)
Solve the following
1. 6(22-17)+(33)
2. If Kate's Flight lasts 12 hours and she had already traveled 7 miles in 1 hour how many miles does she have left to travel
Answers
Answer:
1. = 63
2.= 77 miles
Step-by-step explanation:
Answer:
hope this helps
Step-by-step explanation:
1. 6(22-17)+(33)
=132-102+33
=30+33
=63
2. The answer is 77 miles
Find the equation of the line that is parallel to the given line and passes through the given point.
y = −6x + 8; (4, 5)
The equation is y = .
Answers
Answer:
get smart
Step-by-step explanation:
Evaluate 1/2t + 3/8 when t= 1/4
Answers
Answer:
1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
1/2t + 3/8
t = 1/4
Step 2: Evaluate
Substitute: 1/2(1/4) + 3/8Multiply: 1/8 + 3/8Add: 4/8Simplify: 1/21/8 + 3/8 = 4/8 or 1/2
So the answer is 1/2
Hope I helped
find the slope of the line through each pair of points (6, 10) , (-1, 10)
Answers
Answer:
-7Step-by-step explanation:
Slope is rise/run or change in y over change in x.
To calculate rise we subtract y2 from y1.
-1 - 6 = -7
RUN: -7
To calculate run we subtract x2 from x1.
10 - 10 = 0
RISE: 0
Slope is -7/0
Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $9300. Using chebyshev's theorem, state the range in which at least 88.9%of the data will reside
Answers
Answer:
Range = (237100, 292900)
Step-by-step explanation:
Using Chebyshevs Inequality:
[tex]P(|X - \mu | \le k \sigma )\ge 1 -\dfrac{1}{k^2}= 0.889[/tex]
[tex]1 -\dfrac{1}{k^2}= 0.889[/tex]
[tex]\dfrac{1}{k^2}= 1- 0.889[/tex]
[tex]\dfrac{1}{k^2}=0.111[/tex]
[tex]k = \sqrt{\dfrac{1}{0.111}}[/tex]
[tex]k \simeq 3[/tex]
Thus, 88.9% of the population is within 3 standard deviation of the mean with the Range = μ ± kσ
where;
μ = 265000
σ = 9300
Range = 265000 ± 3(9300)
Range = 265000 ± 27900
Range = (265000 - 27900, 265000 + 27900)
Range = (237100, 292900)
if henry has 8 apples , and josh ate 5 . how many apples does henry have?
Answers
Answer:
Henry has 3 apples
Step-by-step explanation:
can you help me answer this question
Answers
Answer:
it would be 18 over 5
HELP please again ;-;
Answers
Answer:
[tex] \frac{1}{2} [/tex]
Hope this helps!
Answer:
Step-by-step explanation:
Slope= (y1-y2)\(x1-x2)=(3-4)\(6-8)=0.5
what is the GCF of 40 and 72?
Answers
Answer: 8
Step-by-step explanation: The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
This means the greatest common factor is 8.
Slope of 3,4 and 0,-2
Answers
Answer:
The answer is m=2/3
Step-by-step explanation:
Answer:
[tex]-2[/tex]
Step-by-step explanation:
In order to find the answer you need to use the formula for slope and solve, simplifying if needed.
[tex]Slope=\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex](y^2,y^1)=(-2,4)[/tex]
[tex](x^2,x^1)=(0,3)[/tex]
Substitute:
[tex]\frac{-2-4}{0-3}[/tex]
Solve:
[tex]-2-4=-2+-4=-6[/tex]
[tex]0-3=-3[/tex]
[tex]=\frac{-6}{-3}[/tex]
Simplify:
[tex]-6\div3=-2[/tex]
[tex]-3\div3=-1[/tex]
[tex]=\frac{-2}{-1}[/tex]
[tex]\frac{-2}{-1} =-2[/tex]
[tex]=-2[/tex]
Hope this helps.