Answer:
4
Step-by-step explanation:
HELP!!!!!!!
The slope of a line is 2 and the point (1, 1) lies on the line. What is the y-intercept of this line?
Answer:
-1
Step-by-step explanation:
What you're gonna do is plug in the values. (i rhymed) The formula is y=mx+b
m = slope
b = y-intercept
y and x are just the y and x values.
1 = 2(1) + b
1 = 2 + b
-2 -2
-1 = b
That's how you solve for the y-intercept (b) = -1.
Hope this helps and have a great day!
Helps me solve this problem please
Answer:
1-2x
Step-by-step explanation:
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.
(-3,5), (3,3)
What is the point-slope form of the equation of the line?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
What is the slope-intercept form of the equation of the line?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answer:
Step-by-step explanation:
Point-slope form:
The standard point-slope form equation is
[tex]y-y_1=m(x-x_1)[/tex]
where [tex](x_1,y_1)[/tex] are the coordinates and [tex]m[/tex] is the slope/gradient
so for point-slope form we need to find m cause we already have 2 coordinates (-3,5) , (3,3) we can use any one of them in our equation but first we need to find the slope by the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
we use our coordinates to find it and simply plug in the values
[tex]m=\frac{3-5}{3-(-3)} \\m=\frac{-2}{6} \\\\m=\frac{-1}{3}[/tex]
so we get our slope m = -1/3
and simply put m and any one of the coordinates into the standard form
[tex]y-y_1=m(x-x_1)\\y-3=\frac{-1}{3} (x-3)\\3(y-3)=-1(x-3)\\3y-9=-x+3\\3y=-x+12\\y=\frac{-x+12}{3} \\y=\frac{-x}{3} +4[/tex]
Slope-intercept form:
The standard slope-intercept form is
[tex]y=mx+c[/tex]
where m is the slope and c is the y-intercept, we already know the slope is -1/3 from the previous steps but we don't know the y-intercept so lets get started.
y-intercept means the equation intersects the y-axis which means the coordinate should be [tex](0,y)[/tex] so we plug in the slope -1/3 and the coordinate given above (-3,5) , (3,3) in the equation to find the y-intercept that is c. We can you use any one of the two coordinates.
[tex]y=mx+c\\3=\frac{-1}{3}(3)+c \\\\3=\frac{-3}{3} +c\\\\3=-1+c\\c=4[/tex]
so now we found the value of c=4 which is the y-intercept (0,4) and finally our slope-intercept form would be
[tex]y=\frac{-x}{3} +4[/tex]
as both form are same but the approach is different this verifies that both our answers are correct.
The slope of the line is -1/3. The equation in the slope-intercept form is y = (-1/3) x + 4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that,
The line passes through points (-3,5), and (3,3).
The slope of the line is,
m = (y₂-y₁) / (x₂-x₁)
m = (3-5) / (3-(-3)
m = -2 / 6
m = -1 / 3
The standard equation for the line is,
y - y₁ = m (x - x₁)
y - 5 = -1 / 3 (x - (-3)
3(y - 5) = -1(x+3)
3y - 15 = -x -3
x + 3y = -3 +15
x + 3y = 12
3y = -x +12
y = (-1/3) x + 4
Thus, the slope of the line is -1/3. The equation in the slope-intercept form is y = (-1/3) x + 4.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
whats the answer? I pick brainiest if right
Answer:
the first one
Step-by-step explanation:
Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties. What would be another major cost of her investment?
Answer:
The answer is C.
Step-by-step explanation:
I just took the test and i got it right.
x²+x-90=0 using completing the square method
Answer:
x = - 10, x = 9
Step-by-step explanation:
Given
x² + x - 90 = 0 ( add 90 to both sides )
x² + x = 90
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] = 90 + [tex]\frac{1}{4}[/tex]
(x + [tex]\frac{1}{2}[/tex] )² = [tex]\frac{361}{4}[/tex] ( take the square root of both sides )
x + [tex]\frac{1}{2}[/tex] = ± [tex]\sqrt{\frac{361}{4} }[/tex] = ± [tex]\frac{19}{2}[/tex] ( subtract [tex]\frac{1}{2}[/tex] from both sides )
x = - [tex]\frac{1}{2}[/tex] ± [tex]\frac{19}{2}[/tex] , thus
x = - [tex]\frac{1}{2}[/tex] - [tex]\frac{19}{2}[/tex] = [tex]\frac{-20}{2}[/tex] = - 10
x = - [tex]\frac{1}{2}[/tex] + [tex]\frac{19}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9
What is the slope of the equation y = (5/4)x + (7/4)
Answer:
Step-by-step explanation:
4y=5x+7
The width of a rectangle is six inches less than its length. If the perimeter of this rectangle is 20 inches, find the width.
Answer:
W=16
Step-by-step explanation:
A random sample of 25 U.S. residents was selected using census data from the year 2000. The dotplot below shows the distribution of total personal income (in thousands) for the members of the sample. The mean of this distribution is $25,615 and the standard deviation is $25,333.What percent of the sample had total personal incomes within two standard deviations of the mean?
Answer:
95%
Step-by-step explanation:
Data falls within 2 standard deviations from the mean - is calculated using;
μ – 2σ and μ + 2σ .
The mean of this distribution is $25,615 and the standard deviation is $25,333.
μ – 2σ
= $25,615 - 2($25,333)
=$-25051
μ + 2σ
= $25,615 + 2($25,333)
= 76,281
Empirical rule states that: 95% of data falls within 2 standard deviations from the mean
Hence, 95% the sample had total personal incomes within two standard deviations of the mean.
Given the equation f(x) = 2x - 5. what is the slope?
Answer:
m=2
Step-by-step explanation:
Convert to standard form: 2x-f(x)=5
Slope using standard form:m=2
m=2
Which one?
A. B. C. or D?
Answer:
C
Step-by-step explanation:
hope this helps
BRAILIEST? PWEASE
find the distance between the pairs of points. enter your answer in the box. (-3,-6) and (-3,1)
The lifespans of zebras in a particular zoo are normally distributed. The average zebra lives 20.520.520, point, 5 years; the standard deviation is 3.93.93, point, 9 years. Use the empirical rule (68-95-99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a zebra living between 16.616.616, point, 6 and 24.424.424, point, 4 years.
Answer:
0.67894
Step-by-step explanation:
Given that :
Lifespan of zebra is normally distributed :
Mean(μ) = 20.5
Standard deviation (σ) = 3.93
Probability of Zebra living between 16. 6 to 24.4 years
Using the empirical rule :
Z = (x - μ) / σ
For : P(Z < x ) ; X = 16.6
Z = (16.6 - 20.5) / 3.93
Z = - 0.9923
P(Z < - 0.9923) = 0.16053
For : P(Z < X) ; X = 24.4
Z = (24.4 - 20.5) / 3.93
Z = 0.9923
P(Z < 0.9923) = 0.83947
Hence,
0.83947 - 0.16053 = 0.67894
Answer:
68%
Step-by-step explanation:
20 POINTS!!!! Geometry Will Mark Brainliest.
Answer:
3 is 68 degrees
Step-by-step explanation:
So 7 is 22
2 is equal to seven so that is 22 too
it's a 90 degree angle
so 90-22=68
so that is how i got 3 is 68 degrees
Answer:
m < 3 = 68°
Step-by-step explanation:
Given m<7 = 22°, apply the Alternate Interior Angles Theorem to solve for m<5 which is also 22°.
You can use the Vertical Angles Postulate to find the m<2 which is also 22°.
Given that m || n and y is perpendicular to m, making y also perpendicular to n.
Since x and y are parallel, x is also perpendicular to n.
This means m<2 + m<3 = 90°
22° + m<3 = 90°
m<3 = 68°
During a baseball game, a baseball player got 4 hits out of 12 times at bat. What is the "hit" per "at bat" ratio for this player?
Answer:
4:12
Step-by-step explanation:
he hit the bat 4 : out of 12 times
4:12
how do u make someone brainlest
Answer: There would be a crown on the top right side of their comment
Rewrite 2/5 : 1/20 as a unit rate.
A. 40:1
B. 5:40
C. 8:1
D. 40:5
Answer:
Your answer would be D
Step-by-step explanation:
first make 2/5 and 1/20 into ?/100
figure out how many times 5 goes into 100 than multiply 2 by that answer.
40/100=40:?
then do the same to 1/20
5/100= ?:5
So 40:5
Find the slope given points (7, 3) and (5, 9)
Answer: -3
Step-by-step explanation: 3-9=-6, 5-7=-2, simplify -6/-2 to get -3
In a two-digit number, the units digit is 5 more that the tenth digit. The number itself is three times the sum of its digits. What is this number?
Answer:
27
Step-by-step
Suzy spent 6 ⅞ days working on her English paper, 3 ⅙ days doing her science project, and 1 ½ days studying for her math test. How many more days did Suzy spend on her English paper and math test combined than on her science project?
Answer:
She spent [tex]5\frac{5}{24} days[/tex] on her English paper and math test combined than on her science project
Step-by-step explanation:
Suzy spent time on English paper =[tex]6\frac{7}{8}=\frac{55}{8}[/tex]
She spent time on science project = [tex]3\frac{1}{6}=\frac{19}{6}[/tex]
She spent on Maths test =[tex]1\frac{1}{2}=\frac{3}{2}[/tex]
She spent on her English paper and math test combined =[tex]\frac{55}{8}+\frac{3}{2}=\frac{67}{8}[/tex]
Suzy spend time more on her English paper and math test combined than on her science project = [tex]\frac{67}{8}-\frac{19}{6}=5\frac{5}{24}[/tex]
Hence She spent [tex]5\frac{5}{24} days[/tex] on her English paper and math test combined than on her science project
Which situation can be represented by the equation. 1500 - 50x = 2000 - 100x
Answer:
x= 10
Step-by-step explanation:
hope i help youuuuu :)
Which is the graph of g(x)?
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Marcus and Jeremy both evaluated the expression −52 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student’s work.
Answer:
Step-by-step explanation:
Both of them are wrong the answer would be -49.
Answer:
Marcus is correct. Jeremy squared -5 instead of 5. The negative is not within parentheses, so it is not squared.
Step-by-step explanation:
What is the exponential expression for the numerical expression.
5.5.5.5?
204
54
45
0 4.54
Answer:
The answer would be 54
Step-by-step explanation:
Monique wants to find the decimal equivalent of 8/33 so she divides. Study Moniques work shown here, and then answer the question below
Answer:
0.24242
Repeat in a pattern
Repeat in a pattern
Step-by-step explanation:
I did it
Answer:
0.24242
Repeat in a pattern
Repeat in a pattern
Step-by-step explanation:
hope it helps!
one mourning the outside temperature was 14 degrees fahrenheit below zero. By noon the outside temperature had risen 18 degrees. By midnight the outside temperature had dropped 6 degrees. What was the outside temperature at midnight in degrees fahrenheit?
1) Michael has a guitar book with 64 songs in it. Michael has learned to play 25% of these songs. What is the total number of songs in this book that Michael has NOT learned to play? Show your work.
Answer:
16
Step-by-step explanation:
1. We can write 25% as 25/100
2. We Multiply this fraction with the total number of songs he has
3. 25/100 X 64 equals 16
You are making picnic baskets The list shows the items you are putting into baskets. You want identical grouops of the items in each basket with no items left over, What is the greatest number of picnic baskets you can make? 32 sanwisches 40 gronaola bars 48 apple
Answer:
8
Step-by-step explanation:
Given that :
Picbic baskets is to be made from;
32 sandwiches
40 granola bars
48 apples
The greatest Number of picnic baskets that can be made is found by obtaining the Greatest Common factor of sandwiches, granola bars and apples ;
Factor of :
32 : 1, 2, 4, 8, 16
40 : 1, 2, 4, 5, 8, 10, 20, 40
48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Hence, the greatest common factor = 8
Answer:
34
Step-by-step explanation:
gbfdnxmkuhfhrjuu7gf
Describe how to name an angle
Answer:
Look below for an explanation
Step-by-step explanation:
To name an angle, you have to lokk at the three points that create it. There is the vertex and two 'arms' or lines. In the image below, the angle can be called AOB or BOA. However, you can NEVER name an angle by saying the vertex point first. I hope this helps!