Answer:
Slope is -2/5 and y-intercept is -1/3
Step-by-step explanation:
To get the slope, we pick any two points and apply the slope formula
The slope formula is;
m = (y2-y1)/(x2-x1)
To get the slope, we select any two points
That will be;
(-3/4, -1/30) and (1/4,-13/30)
Substituting these in the slope formula, we have:
m = (-13/30 + 1/30)/(1/4 + 3/4)
m = 12/30 = -2/5
Generally, the equation of a straight line is;
y = mx + b
m is slope and b is the y-intercept
We already have the slope, to get the y-intercept, we select any of the points
-3/5 = -2/5(2/3) + b
= -3/5 + 4/15 = b
b = (-9 + 4)/15 = -5/15 = -1/3
Slope is -2/5 and y-intercept is -1/3
Answer:
A
Step-by-step explanation:
The slope is -2/5, and the y-intercept is -1/3.
combine like terms to simplify each expression. 1: 3/4z(3)+4-1/4z(3). 2: 3.4m+2.4m. 3: 4.2n+5-3.2n. 4: q(5)+q(5)+q(5). 5: 3x+1/4+2y+1/4+7x-y. 6: 1.5z(2)+4.5+6z-0.3-3z+z(2)
Explanation and steps to the expressions are marked in order in the images below.
1. Answer is 3z/2 + 4
2. Answer is 5.8m
3. Answer is n + 5
4. Answer is 15q
5. Answer is 10x + 1/2 + y
6. Answer is 8z + 4.2
The maximum is five images, so I cannot add the last explanation and steps for the last expression.
Which of the following statements best explains why this graph shows a set of points that represent a relation that is not a function of x?
There are x-values which are paired with multiple y-values.
A book contains 120 pages and each page 35 lines how many pages will the book contains if every page has 24 lines
Answer:
If there will be 24 lines on all pages, there will be 175 pages in the book
Step-by-step explanation:
First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....
120 x 35 = 4200
Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......
4200 / 24 = 175
A line with a slope of 5 passes through the point (2, 5). What is its equation in
slope-intercept form?
Answer:
y = 5x - 5Step-by-step explanation:
slope-intercept form of equation: y = mx + b
where m is slope and b is y-intercept
If line y=ax+b passes through point (x₀,y₀) that means
that the equation y₀=ax₀+b is true
(2, 5) ⇒ x=2, y=5
m = 5
So:
5 = 5×2 + b
5 = 10 + b
b = -5
Therefore equation in slope-intercept form:
y = 5x + (-5)
y = 5x - 5
The equation of the line in slope-intercept form is y = 5x - 5.
Given that the slope of the line is 5 and it passes through the point (2, 5), we can use the point-slope form of a linear equation to find the equation of the line.
The point-slope form is given by:
y - y1 = m(x - x1),
where (x1, y1) is the given point and m is the slope.
Substituting the values, we have:
y - 5 = 5(x - 2).
Now, let's simplify this equation:
y - 5 = 5x - 10.
Next, let's isolate y:
y = 5x - 10 + 5.
Simplifying further:
y = 5x - 5.
So, the equation of the line in slope-intercept form is y = 5x - 5.
Learn more about slope-intercept form here:
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I have no clue what to put in all of these boxes help me
i dont think it right i only could do the first one i dint know the last one cuz ...
5 of the 25 players on the soccer team are 7th graders. Find the Percent of 7th graders
Ruby’s homework covers multiplication with the powers of 10 the first question on her homework is 82.6 x 10 to the power of 2 what is the value of expression?
Answer:
826
Step-by-step explanation:
82.6 x 10 to the power of 2 :
8.26 * 10^2
8.26 * (10 * 10)
8.26 * (100)
= 826
Here is a picture of a circle. Each square represents 1 square unit.
Explain why the area of the circle is less than 4 square units.
Answer:
No picture?
Step-by-step explanation:
i need a picture to anwser
HELP FAST PLEASE!!!
50 POINTS FOR WHOEVER ANSWERS FIRST!!!
What is the exponent in the expression 76?
a.6
b.7
c.13
d.42
Step-by-step explanation:
If you mean 7⁶, the exponent is 6. (A)
When written as a^m, a is a number and m is the exponent.
What is the solution of....
[tex]\huge \mathscr{\blue {\underline {\red{\underline{Answer :-}}}}} [/tex]
[tex] \bf \frac{5}{2} x - 7 = \frac{3}{4} x + 14[/tex]
[tex] \bf \implies \: \frac{5}{2} x - \frac{3}{4} x = 14 + 7[/tex]
[tex] \bf \implies \: \frac{10x - 3x}{4} = 14 + 7[/tex]
[tex] \bf \implies \: \frac{7}{4} x = 21[/tex]
[tex] \bf \implies \: 7x = 21 \times 4[/tex]
[tex] \bf \implies \: x = \frac{21 \times 4}{7} [/tex]
[tex] \bf \implies \: x = 3 \times 4[/tex]
[tex] \bf \implies \: x = 12[/tex]
ᴏᴘᴛɪᴏɴ (ᴅ) x = 12 ɪs ʏᴏᴜʀ ᴄᴏʀʀᴇᴄᴛ ᴀɴsᴡᴇʀ
[tex]{\huge{\underline{\small{\mathbb{\blue{HOPE\:HELPS\:UH :)}}}}}}[/tex]
1/3x-2=16 solve the equation
Answer:
x=54
Step-by-step explanation:
1/3 x 54 = 18, 18 - 2 = 16
:)
A store is having a sale where everything is discounted 30%. Find the discount and the sales price if a customer buys an item that normally sells for $365.
Answer:
The discount is $109.50 and the sales price is $155.50
Step-by-step explanation:
30% of 365 is 109.5
356-109.5=155.5
Esther deposited $5,000 into an account that grows at a rate of 8% per year. To the nearest cent, how much will be in the
account after 5 years?
Answer:
The total amount after five years = $7,000
Step-by-step explanation:
Step(i):-
Given Esther deposited $5,000 into an account
Principal amount 'P' = 5000
Given rate of interest (R) = 8%
r = R / 100 = 0.08 per year
Step(ii):-
The total amount after 5 years
[tex]A = P( 1 + r t )[/tex]
[tex]A = 5000(1+ (0.08 X 5) = 7000[/tex]
Final answer:-
The total amount after five years = $7,000
PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
0.96% or 1% to the nearest whole ( use the whole as for your answer )
Step-by-step explanation:
825-817 = 8
8 / 825 = 0.00969696....
x 100 = 0.96%
Solve. x2 – 10x + 21 < 0
Answer:
(3,7)
Step-by-step explanation:
Which rules of exponents will be used to evaluate this expression? Check all that apply.
A: product of powers
B: quotient of powers
C: power of a power
D: power of a product
E: negative exponent
F: zero exponent
Answer:
A: product of powers
B: quotient of powers
E: negative exponent
Step-by-step explanation:
Let's evaluate to see which several rules we would be applying in each step
[tex] \frac{((-8)^4)^{-5}}{(-8)^6} [/tex]
[tex] \frac{((-8)^{4*-5}}{(-8)^6} [/tex] (power of a power)
[tex] \frac{(-8)^{-20}}{(-8)^6} [/tex]
[tex] (-8)^{-20 - 6} [/tex] (quotient of powers)
[tex] (-8)^{-26} [/tex]
[tex] \frac{1}{(-8)^{26}} [/tex] (negative exponent)
Thus, the rules of exponents we have applied to far are:
A: product of powers
B: quotient of powers
E: negative exponent
Answer:
product of powers
quotient of powers
negative exponent
Solve for W: P=2L + 2W
A. W=P-L
B. W= 1/2P - L
C. W= 1/2 P + L
D. W= 2P - L
Answer:
B
Step-by-step explanation:
[tex]P=2L+2W[/tex]
[tex]P-2L=2W[/tex] (Subtract 2L from both sides of the equation)
[tex]2W=P-2L[/tex] (Symmetric Property of Equality)
[tex]W=\frac{P-2L}{2}[/tex] (Divide both sides of the equation by 2)
[tex]W=\frac{P}{2} -\frac{2L}{2}[/tex] ("Split" the fractions)
[tex]W=\frac{1}{2}P-L[/tex] (Simplify)
Hope this helps!
PLEASE HELP ASSP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111
Answer:
2.3
Step-by-step explanation:
Your beginning equation is 5 (t + 3) = -3.5. You start by dividing by 5. This leaves you with t + 3 = 0.7. If you add 3 you get 2.3
Enter the sum in simplest form. pls answer I give brainliest
11/12 -5/12 would equal 7/12. 7/12 can not be simplified, because seven and twelve can not be divided by the same number to get smaller numbers. 7/12 is the simpliest form
Answer:
1/2
the 1 goes on top and the 2 goes at the bottom
Decide if the statement is giving you the x or y value of the function
Answer: 1a. f(2) is an x-value
1b. f(x) = 4 is a y-value
1c. f(-10) is an x-value
1d. m(x) = 64 is a y-value
2. f(4) = 17
3. x = 39
Step-by-step explanation: In general, if there is an equal sign, the output f(x) is a y-value. if the expression is f(#) with a number in the parentheses, that is the value to insert for x.
2.) f(x) = 2x + 9
f(4) = 2(4) + 9
f(4) = 8 + 9
f(4) = 17
3. f(x) = 5x -3
192 = 5x -3
192 + 3 = 5x
195 = 5x
39 = x
Which property of equality would you use -to solve the equation math8n=16
Answer:
im not sure but i do know that the letter n would be 2
Step-by-step explanation:
This is under the Category Exponent Rules (Variable and Coefficients)
Help Simplify (−10x^2)(-2x^4)
Answer:
20x^6
Step-by-step explanation:
multiply bases and add exponents
What are the vertices of triangle A'B'C' produced by (x, y) -> (x+5, y-2)?
Answer:
The vertices of triangle A'B'C' produced by (x, y) → (x+5, y-2) will be:
A'(8, -2) B'(8, 0) C'(5, -5)Step-by-step explanation:
Given the vertices of an original triangle ΔABC such that
A = (3, 0)B = (3, 2)C = (0, -3)As the rule of translation is given by
Translation: (x, y) → (x+5, y-2)
So, after the translation the vertices of the original triangle ΔABC will be translated as:
A = (3, 0) → (x+5, y-2) ⇒ (3+5, 0-2) = A'(8, -2)
B = (3, 2) → (x+5, y-2) ⇒ (3+5, 2-2) = B'(8, 0)
C = (0, -3) → (x+5, y-2) ⇒ (0+5, -3-2) = C'(5, -5)
Therefore, the vertices of triangle A'B'C' produced by (x, y) → (x+5, y-2) will be:
A'(8, -2) B'(8, 0) C'(5, -5)in an 7th grade class with 80 people, seven tenths of the students wore shorts, how many students wore shorts
Answer:
56
Step-by-step explanation:
80 x (7 / 10) = 56
What is the slope of y=-4x-3y=−4x−3y, equals, minus, 4, x, minus, 3?
Answer:
-4
Step-by-step explanation:
Given:
[tex] y = -4x - 3 [/tex]
Required:
Slope of the line
SOLUTION:
The equation of the line, [tex] y = -4x - 3 [/tex], is given in the slope-intercept form, which is [tex] y = mx + b [/tex].
Where, m is the slope, and b is the y-intercept.
Therefore, the slope (m) of the line, [tex] y = -4x - 3 [/tex] is -4.
m = -4
(5c^2 - 3c +9) - (2c^2 + 8c - 3)
What is 0.80 as a fraction?
Answer:
just type it into ur web browser and you can get the answer
Step-by-step explanation:
thats what i do <3
If six people share 4 pints of lemonade equally, how much lemonade will each person receive?
Answer:
1.5
i think
Step-by-step explanation:
for question 8. Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.
9514 1404 393
Answer:
yes, SAS
Step-by-step explanation:
Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).
The ratios of short to long sides are ...
39/52 = (3·13)/(4·13) = 3/4
63/84 = (3·21)/(4·21) = 3/4
The sides are proportional and the angle between them is congruent, so ...
the triangles are similar by SAS.
1/6x + 3/2 slope of line
Answer: m=1/6
Step-by-step explanation: