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.
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I need help thank you
Answer:
c)
Step-by-step explanation:
x - 2 ---------------> members in the band with the absentees.
So, x will give the number of members in the band
PLSSS HELP IM DESPERATE!!
Which number line represents the solutions to -2x| = 4?
O 2o 2 4 6 & 10
-i0 -862 0 2 4 6 & 10
-10 -8 -6 -4-2 0 2 4 6 8 10
Answer:
graph c
Step-by-step explanation:
Given
| - 2x | = 4
The absolute value function always gives a positive result, however, the expression inside can be positive or negative , that is
- 2x = 4 or - (- 2x) = 4
Solving both
- 2x = 4 ( divide both sides by - 2 )
x = - 2
or
- (- 2x) = 4
2x = 4 ( divide both sides by 2 )
x = 2
The third graph indicates x = - 2 and x = 2 on the number line
What is the equation for the graph?
Answer:
Standard Form:
[tex]y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]
Another Form:
[tex]y = (x - 1)^{3} - 3[/tex]
Step-by-step explanation:
The type of graph or function is called Cubic Function
The type of graph is represented by the equation of y = a(x-h)³+k
Thus our equation for the graph is
[tex]y = {(x - 1)}^{ 3} - 3[/tex]
In case if you want standard form.
Simplify the expression.
[tex](x - y)^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} [/tex]
[tex]y ={x}^{3} - 3 {x}^{2} + 3x - 1 - 3 \\ y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]
buna ,ma puteti ajuta
PLZ ANWSER WERTAY
anyody know math? and wanna be friends i need help with this The successor of
−22
is
−23
−21
23
21
Answer:
-21
Step-by-step explanation:
after -22 there comes-21 so successor of-22 is -21
-1/2c+26-22 help ASAP plz
Answer:
−1/2c+4
Step-by-step explanation:
Combine Like Terms:
−1/2c+26+−22=(−1/2c)+(26+−22)=
−1/2c+4
Hope this helped :)
plzzz help me i give you points of you help
I will give brainliest
A small scoop holds 75% as much as a large scoop.
If the small holds 36 units, how much does the large hold?
Answer:
Large scoop holds 48 units.
Step-by-step explanation:
Large: x
Small: .75x = 36
x = 48 units
Estimate the quotient. Use compatible numbers. Round your answer to the nearest tenth.
5.8 ÷ 8 ≈ ___
Answer:
5.8/8=0.725
Rounded number: 0.7
Step-by-step explanation:
Estimate 6/8=0.75
6 because 5.8 rounded to a whole number=6
help me please i will really appreciate it
Answer:
Step-by-step explanation:
120°
Ratio of
Rs 2.25 to Rs 6.75
Answer:
2.25 : 6.75
divide by 0.25
9 : 27
1 : 3
Solve for x in the equation x2 + 20x+100= 36.
Answer:
-16, -4
Step-by-step explanation:
x² +20x +100 -36 = 0
x² +20x +64 = 0
x² -Sx +P =0, where S= sum of roots, P=product of roots
so what 2 numbers have
S= -20 and P = 64 , ...that ul be -4, -16
or you can use factoring:
( x+16) ( x+4) = 0
x+16 = 0 , x= -16
x+4 =0, x = -4
or you can do quadratic equation, or graph ...
Answer: The Answer is:
Fraction form: x= -32/11
Decimal form: x= -2.90909....
Step-by-step explanation:
1. Add similar elements: 2x+20x=22x
22x+100=36
2. Subtract 100 from both sides:
22x+100-100=36-100
3. Simplify:
22x=-64
4. Divide both sides by 22:
22x÷22=-64÷22
5. Your Answer:
x= -32/11
What is the answer?
Answer:
B is the answer
Select the correct answer.
Solve the system of equations.
y = x + 4
y = x2 + 2
A.
(-1,6) and (2,3)
B.
(-1,3) and (2,2)
C.
(-1,3) and (2,6)
D.
(1,3) and (-2,2)
Answer:
Option C
Step-by-step explanation:
Locate the two points on the graph
Answer
ok the correct answer is c
Step-by-step explanation:
its the only answer that has points on the graph
ur welcome;)
Megan ran 9/12 of a mile and skips a 12th of a mile around the track how far around the track did Megan go in total use the benchmarks fraction 1/2 1 and 0 to help you estimate each answer before you solve
Answer:
She went a total of 5/6 of a mile around the track
Step-by-step explanation:
Here, we want to calculate the distance around the track travelled
From the question, we are told that she ran 9/12 of a mile and skipped 1/12
So the total distance covered will be;
9/12 + 1/12 = 10/12 = 5/6
Kallie is selling lemonade and ice pops to raise money for a trip to the local water park. A cup of lemonade costs $0.75, and
an ice pop costs $1.25. She needs to raise at least $25. She knows she will sell more than 20 items. Set up a system of
inequalities, and determine if selling 20 cups of lemonade and 15 ice pops meets the constraints.
Answer:
1.25x+0.75y>25
x+y>20
Explanation:
Selling 20 cups of lemonade and 15 ice pops will raise enough money to go to the water park.
0.75x+1.25y≥25
Acellus
Give the equation for this line in
slope-intercept form.
slope = -2, y-intercept = 5
y ]
= [?]x + []
Answer:
y = -2x + 5
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope and c is the y-intercept. Since we already know the values, we can just put it into the equation.
y = mx + c
y = -2x + 5
Answer:
y = - 2x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 and c = 5 , thus
y = - 2x + 5 ← equation of line
What is the image of the point (-6,-8) after a rotation of 90° counterclockwise about the origin?
Answer:
(6,-8)
Step-by-step explanation:
By rotating the point (-6,-8) Counterclockwise you get the point (6,-8)
Hope it helps
The new coordinates after rotation will be - P'(8, -6)
We have a Point on a X - Y plane as P(-6, -8) which is rotated by 90° counter clockwise about the origin.
We have to determine the image of this point after the rotation.
What do you understand by Rotation of a Point in X - Y plane?
A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.
According to the question, we have -
A point with coordinates → P(-6, -8)
Any point (say A[x, y]) when rotated 90° counter clockwise about the origin, then its new coordinates become A'(-y, x).
Using this rule, the coordinates of the point after rotation of point by 90° counter clockwise about the origin will be → P'(8, -6)
Hence, the new coordinates will be - P'(8, -6)
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Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope intercept for (y=mx+b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary. y=20x;(2,2)
The equation is y =
Please help very urgent! :)
Answer:
y = - 0.05x - 1.9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = 20x ← is in slope- intercept form
with slope m = 20
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{20}[/tex] = - 0.05 , thus
y = - 0.05x + b ← is the partial equation
To find b substitute (2, - 2) into the partial equation
- 2 = - 0.1 + b ⇒ b = - 2 + 0.1 = - 1.9
y = - 0.05x - 1.9 ← equation of perpendicular line
2
Did the same result occur in both parts when you held up a lighted splint to the jar's mouth?
What can you conclude from this about the identity of the gas(es) in Parts 1 and 2? (3
points)
Answer:
Oxygen gas causes a glowing splint to continue burning. If you observe a gas forming, test for its identity by inserting a glowing wood splint into the mouth of the test tube. Light the splint and then blow out the flame, leaving a glow.
25-20x+4x² heh help pls and hurry :((
Answer:100 POINTS! (50 split up) PLSSSSSSSSSS HELP!!! I REALLY NEED IT SO MUCH :( I PROMICE TO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!
You measure the mass of an apple using a balance. You get these three measurements:
100
Monique is factoring the expression 4 x + 16 x y. Her work is shown below.
Factors of 4x: 1, 2, 4, x
Factors of 16xy: 1, 2, 4, 8, 16, x, y
GCF: 4x
Factored expression: 4 x (0 + 4 y)
Which best describes the accuracy of Monique’s solution?
Monique’s solution is accurate.
Monique made an error when listing the factors, which affected the GCF and the factored expression.
Monique made an error when determining the GCF from her list of factors.
Monique made an error when writing the factored expression.
Answer:
Monique made an error when writing the factored expression
Step-by-step explanation:
Monique's work:
Factors of 4x: 1, 2, 4, x
Factors of 16xy: 1, 2, 4, 8, 16, x, y
GCF: 4x
Factored expression: 4 x (0 + 4 y)
Correct working:
Factors of 4x: 1, 2, 4, x
Factors of 16xy: 1, 2, 4, 8, 16, x, y
GCF: 4x
Factored expression: 4 x (1 + 4 y)
Therefore, Monique made an error when writing the factored expression
Check:
4x(1 + 4y)
Opening bracket
4x + 16xy
The answer is D the guy above me corretc
Bill charges $12 per hour for a plumbing job. Write the equation that shows the relationship between the numbers of hours Bill work's,h, and the amount of money he makes, m?
Answer:
m = 12h
Step-by-step explanation:
Since Bill charges $12 per hour, it implies for every hour he charges $12. Therefore, the amount of money he makes, m, is dependent on the number of hours he works, h. The higher the number of hours, the more his money. And vice versa.
So that;
m = 12h
Thus if Bill works for 6 hours, his amount of money would be;
m = 12 (6)
= 72
m = $72
Bill would make $72 after working for 6 hours.
A sequence is defined by the term-to-term rule
U = + 2
Given that u, = -3,
a) find u,
b) find uz
Answer:
Please check the explanation.
Step-by-step explanation:
a)
A sequence is defined by the term-to-term rule such as
[tex]U_{n+1}=U^3_n+2[/tex]
Given that
[tex]U_0=-3[/tex]
Substituting n = 0 to determine u₁
[tex]U_{0+1}=U^3_0+2[/tex]
[tex]U_1=U^3_0+2[/tex]
substituting [tex]U_0=-3[/tex]
[tex]U_1=\left(-3\right)^3+2[/tex]
[tex]U_1=-27+2[/tex]
[tex]U_1=-25[/tex]
Therefore,
[tex]U_1=-25[/tex]b)
[tex]U_{n+1}=U^3_n+2[/tex]
Substituting n = 1 to determine u₂
[tex]\:U_{1+1}=U^3_1+2[/tex]
substituting [tex]U_1=-25[/tex]
[tex]U_2=\left(-25\right)^3+2[/tex]
[tex]U_2=-15625+2[/tex]
[tex]U_2=-15623[/tex]
Therefore,
[tex]U_2=-15623[/tex]
There are 240 children at summer camp. They will travel by bus on a field trip. Each bus will hold a total of 50 students.
What is the minimum number of buses they will need?
A builder is building a fence with 6 LaTeX: \frac{1}{4}1 4 inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to build a fence that is 150 inches long?
Answer:
24 boards
Step-by-step explanation:
From the above question, the width of a wooden board for a fence = 6 1/4 inches
How many boards are needed to build a fence that is 150 inches long?
This is calculated as:
6 1/4 inches = 1 board
150 inches = x
Cross Multiply
6 1/4 × x = 150 × 1
x = 150 ÷ 6 1/4
x = 150 ÷ 25/4
x = 150 × 4/25
x = 24 boards
Hence, 24 boards would be needed to build a fence that is 150 inches long
Which point could represent 5/5
.A
.B
.C
.D
Answer:
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which one is greater 8.002 or 8.20
Answer:
Step-by-step explanation:
It would be 8.20 because the 10 place is higher than the 10 place in 8.002
The graph shows the amount of money left after buying video games. Find the slope of the line
Answer:
It’s -20
Step-by-step explanation:
The slope of the line is m = -20.
What is the slope?The ratio of the vertical and horizontal changes between two points on a surface or a line is known as the slope.
Note that the graph passes through points (2,80) and (4,40).
The formula for the slope of a line passing through the points (x₁,y₁) and (x₂,y₂) is:
m = (y₂-y₁)/(x₂-x₁)
Substitute the points (x₁,y₁) = (2,80) and (x₂, y₂) = (4,40) into the above equation:
m = (40 - 80)/(4 - 2)
m = -40/2
m = -20
Hence, the slope of the line is m = -20.
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A wireless company offers two cell phone plans. For the month of September Plan A charges $35 plus $0.25 per minute for calls. Plan B charges $20 plus $0.50 per minute for calls. For what number of minutes do both plans cost the same amount?
i really need help
Answer:
3.75 minutes
Step-by-step explanation:
Set up an equation where x is the number of minutes:
0.25x + 35 = 0.5x + 20
Solve for x:
0.25x + 35 = 0.5x + 20
35 = 0.25x + 20
15 = 0.25x
3.75 = x
So, both plans will cost the same with 3.75 minutes