Answer:
y-3x=4
Step-by-step explanation:
1-4/-1-0=3
1 = 3(-1)+b
1=-3+b
b=4
The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,
⇒ y = 3x + 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-1, 1) and (0, 4)
Now,
Since, The equation of line passes through the points (-1, 1) and (0, 4).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (4 - 1) / (0 - (-1))
m = 3 / 1
m = 3
Thus, The equation of line with slope 3 is,
⇒ y - 1 = 3 (x - (-1))
⇒ y - 1 = 3 (x + 1)
⇒ y - 1 = 3x + 3
⇒ y = 3x + 3 + 1
⇒ y = 3x + 4
Therefore, The equation of linear equation in standard form is,
⇒ y = 3x + 4
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Describe the change in the graph of the transformation from f to g. f(x) =x^2 + 5 g(x)=(x-6^2 + 5)
Answer:
need more imformacion
compare linear and nonlinear functions
4. Line r is mapped onto line m by a dilation centered at the origin with a
scale factor of 4. The equation of line r is 6x – 3y = 12. What is the
equation for line m?
3x - y = 8
Step-by-step explanation:
Since, if a line having points represented by (x,y) is dilated about origin with a scale factor k,
Then the coordinates of the dilated line is obtained by the rule,
Here, line L is,
3x - y = 4
The x-intercept and y-intercept of line L are (4/3,0) and (0,-4) respectively,
If the line L is mapped onto line M by a dilation centered at the origin with a scale factor of 2,
Then by the above definition,
The points of the line M are,
(2×4/3, 2×0) and (2×0, 2×-4) ⇒ (8/3,0) and (0,-8)
Hence, the equation of line M passes through the points (8/3,0) and (0,-8)
An electrician charges a rate of $65 per hour plus a fee of $75 for a job done during the weekend. She earned $465 for a weekend job.
Part A. Enter an equation to find the number of hours, h, the electrician worked on this job.
Part B. How many hours did the electrician work?
Answer:
(465 - 75) ÷ 65
She worked for 6 hours
Step-by-step explanation:
Answer:
Step-by-step explanation:
jj
z2 + 5z - 3z2 + z
Terms
Like Terms
Use two sets of coordinates to write an equation
to describe the relationship.
Answer/Step-by-step explanation:
An equation that describes the relationship can be written as [tex] y = mx [/tex].
Using the two sets of coordinates, (2, 140) and (4, 280), calculate the slope (m) as shown below:
[tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{280 - 140}{4 - 2} = \frac{140}{2} = 70 [/tex]
Substitute m = 70 into [tex] y = mx [/tex]
The equation would be:
[tex] y = 70x [/tex]
This equation can be interpreted as follows:
The heart's resting rate is 70 beats each minute.
What value of x makes this equation true?
15 –
1
2
x = 21
Answer:
x= -0.5
Step-by-step explanation:
You want to isolate x on one side of the equation
15-12x=21
-15 -15
-12x=6
/-12 /-12
x= -0.5
6th one....pls help me out
Now , For 12n to end with 0, it should have 2 as well as 5 in its Prime factors to end with 0, Also to end with 5 , it requires at least a single multiple of 5 in its Prime Factors, So 12n cannot end with the digit 0 or 5.
trey had 440 songs on his mp3 player.now he has 473 songs.what is the percent of increase in the number of songs on his mp3 player?
round to the nearest tenth if necessary.
Answer:
There is 7.5% increase in the number of songs on his mp3 player.
Step-by-step explanation:
Original Songs in mp3= 440 songs
Final Songs in mp3= 473 songs
We need to find percent of increase in the number of songs on his mp3 player.
The formula used is: [tex]Percent \ of \ increase = \frac{Final \ Value \ -\ Original \ Value}{Original \ Value} \times 100[/tex]
Now putting values and finding percent of increase
[tex]Percent \ of \ increase = \frac{Final \ Value \ -\ Original \ Value}{Original \ Value} \times 100\\Percent \ of \ increase = \frac{473-440}{440} \times 100\\Percent \ of \ increase = 7.5\%[/tex]
So, there is 7.5% increase in the number of songs on his mp3 player.
Which value of x makes the equation 0.5(x + 15) = 2 + 0.75(x - 4) true?
Answer:
Step-by-step explanation:
[tex]\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)[/tex]
To make this easier, to get ride of the fractions, we can multiply both sides by 4
[tex]2(x+15) = 8 + 3(x-4)[/tex]
now use the distributive property
[tex]2x + 30 = 8 + 3x - 12\\[/tex]
now we want to isolate x to one side and isolate all the constants to the other
[tex]2x - 3x = 8 - 12 - 30\\[/tex]
now simplify
[tex]-x = -34\\x = 34[/tex]
to test, we can plug in back to the original
[tex]\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}[/tex]
it works
995² evaluate and answer
Answer:
Step-by-step explanation:
995 2 = 990025
Thia is the correct answer
I need help with solving for x. Then find the measure of the base angle. Please
Answer:
x = 8 base angle = 81 degrees
Step-by-step explanation:
Answer:
x = 8
base angle = 81 deg
Step-by-step explanation:
we observe that because the given triangle is a isosceles triangle, the base angles must be the same.
Hence the missing base angle must also be (10x+1)°
recall that all internal angles of an triangle must add up to 180 deg,
hence
180° = sum of all internal angles
180° = 18° + (10x+1)° + (10x+1)°
180° = 18° + 2(10x+1)° (subtracting 18 from both sides)
180 - 18 = 2(10x+1)
162 = 2(10x+1) dividing both sides by 2)
162 / 2 = 10x + 1
81 = 10x + 1 (subtracting 1 from both sides)
81 - 1 = 10x
10x = 80 (divide both sides by 10)
x = 80/10
x = 8 (answer)
substituting x = 8 into the expression for the base angle
base angle = (10x+1)
= 10(8) + 1
= 10 + 1
= 81
r=4/3(p-q)
solve for p
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[tex]r = \frac{4}{3} (p - q) \\ [/tex]
Multiply sides by 3
[tex]3r = 4(p - q)[/tex]
Divide sides by 4
[tex] \frac{3r}{4} = p - q \\ [/tex]
Add sides q
[tex] \frac{3r}{4} + q = p \\ [/tex]
[tex]p = \frac{3}{4} r + q \\ [/tex]
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SOMEONE PLEASE HELP ME PLEASEEEEEE PLEASEEE!!!
Evaluate the expression
d2 – 3e
if d = 9 and e =5
Answer:
18-15
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Plug in: d = 9, e = 5
(9)2 - 3(5)
9 x 2 = 18
-3 x 5 = -15
18 - 15 = 3
Brielle's bill for brunch at a restaurant was $52. She left a 20% tip. What was the amount of the tip?
The answer should display money. If needed round
Answer:
$10.4
Step-by-step explanation:
First convert 20% to a decimal. 20% = 0.2
To find 20% of $52, just multiply.
0.2 ($52) =$10.4
Hope this helps. If it does, can I get brainliest? Thanks
I WILL MARK BRAINIEST
please answer question 5
Answer:
a = 150
Step-by-step explanation:
The sum of the internal angles of an octagon is 1080°.
[tex]4a+4(120)=1080[/tex] (There are four [tex]120^{\circ}[/tex] and 4 [tex]a^{\circ}[/tex], they sum to 1080°)
[tex]4a + 480 = 1080[/tex]
[tex]4a = 600[/tex]
[tex]a = 150[/tex]
Hope this helps :)
Answer:
a = 150
Step-by-step explanation:
A octagon is 1080 degrees. The half circles are showing which angles are the same. So all the red circles are 120 degrees. To find the green circles, multiply 120 by 4 for the total of the four angles and then subtract it from 1080:
120(4) = 480
1080 - 480 = 600
So 600 is the total of all the green half circles added together, so divide 600 with 4 because there are four green half circles.
600/4 = 150
Use the information in the graph to answer the following.
What is the verbal description of this transformation?
5)
What is the symbolic representation?
Answer:
Ff
Step-by-step explanation:
i need help answer it correctly
Answer:
(1) when x is 0 y=5/2 and when y is 0 x=5
(2)Graph the points : (0 , 5/2) and (5 , 0)
(3)the slope is -1/2
Step-by-step explanation:
help me someone solve this
Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to (−3n+18m)−(112m−n)?
Answer:
I believe it is -94m-2n
what is the solution for x in the equation?
Answer:
3
Step-by-step explanation:
combine like terms (so 1/2 and 3/2): 2 - x = x - 4
add x to both sides: 2 = 2x - 4
add 4 to both sides: 6 = 2x
divide both sides by 2: 3 = x
. There are 200 different pieces of fruit in a barrel. There are 42 apples, 82 oranges, and 76 pears. Which of the following events have a probability that is less than 0.4? * Select all that apply. A. Randomly selecting an apple B. Randomly selecting an orange C. Randomly selecting a pear D. Randomly selecting an apple or an orange E. Randomly selecting an apple or a pear F. Randomly selecting an orange or a pear
Answer:
A and C
Step-by-step explanation:
42/200 = .21
76/200 = .38
Answer:
Apples and Pears
Step-by-step explanation:
21 % = Apples
41 % = Oranges
38 % = Pears
Probablity of less than 40% = pears and apples
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Identify the pattern for the following sequence. Find the next three terms in the sequence. 5, 2, -1, -4, ____, ____, ____,...
Answer: -7, -10, -13, -15
Step-by-step explanation: It’d changing by a constant difference of -3.
Which of the following equations has infinitely many real solutions?
A. 4x + 1 = x-1
B. 4(x - 5) = 4x – 20
C. 4(x – 5) = 4x + 20
D.4x + 1 = 4x - 1
Do you know the answer
Answer:
y=2x+2
Step-by-step explanation:
The * stands for multiplication.
0*2+2=2
3*2+2=8
6*2+2=14
All of these statements are true, so this should be the correct answer.
Complete the square for the expression, then factor the trinomial.
x^2-4x
please explain how to do it as well! :)
Answer:
[tex]x {}^{2} - 4x \\ = x(x - 4)[/tex]
PLEASE HELP URGENT!!!!!!
Tom, Sam and Victor are painting the rooms in their new house. It takes Tom 4 hours to paint one room, but Sam and Victor take 3 hours each. If all of them work together, how long does it take them to paint one room?
9514 1404 393
Answer:
12/11 = 1 1/11 hours
Step-by-step explanation:
The total rate is the sum of the individual rates in rooms per hour.
Tom can paint 1/4 room per hour.
Sam and Victor can each paint 1/3 room per hour.
Their total rate is ...
1/4 +1/3 +1/3 = 11/12 . . . rooms per hour
The rate in "hours per room" is the inverse of this.
It takes them 12/11 = 1 1/11 hours to paint one room.
a 6 ounce package costs $2.10 a 16 ounce package costs $5.28 a 26 ounce package costs $9.36 which package is the best buy
Answer:
The better buy is the 16 ounce package for $5.28.
Step-by-step explanation:
First divide each price with their ounce,so 2.10 ÷ 6 = 2.1 per 1 ounce , 5.28 ÷ 16 = 0.33 per 1 ounce , 9.35 ÷ 26 = 0.36 per 1 ounce.
Next compare the prices for 1 ounce and see which on is lower. The 16 ounce package has a better price because the price for each ounce is lower than the other prices.
HELP 1 QUESTION.... Write a plan for proving that <1 is congruent to <2
Answer:
corresponding angles
Alternate angle
cointerior angle
