Answer:
2) D
4) A
Step-by-step explanation:
y=3(x-1)
multiply
3(x-1)
then y=3x-3
y+1=4/3(x+3)
multiply 4/3(x+3)
y=4/3x+3
Answer:
1) D. y = 3x-3
2) A. y = 4/3 x+3
Step-by-step explanation:
1)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : y-(3*x-3)=0
Step 1:
Equation of a Straight Line
Solve y-3x+3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-3x+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000
y-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000
x-intercept = 3/3 = 1
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - (-3.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 6.000/2.000 = 3.000
Geometric figure: Straight Line
Slope = 6.000/2.000 = 3.000
x-intercept = 3/3 = 1
y-intercept = -3/1 = -3.00000
2)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(4/3*x+3)=0
Step 1:
Simplify 4/3
Equation at the end of step 1:
y - ((4/3 • x) + 3) = 0
Step 2: Rewriting the whole as an Equivalent Fraction
Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
3 = 3/1 = 3 · 3/3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4x + 3 · 3/3 = 4x+9/3
Equation at the end of step 2:
y - (4x+9)/3=0
Step 3:
Rewriting the whole as an Equivalent Fraction :
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
y = y/1 = y · 3/3
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
y • 3 - ((4x+9)) 3y - 4x - 9
———————————————— = ———————————
3 3
Equation at the end of step
3
:
3y - 4x - 9
——————————— = 0
3
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3y-4x-9
——————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3y-4x-9 = 0
Equation of a Straight Line
4.2 Solve 3y-4x-9 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3y-4x-9 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000
y-intercept = 9/3 = 3
Calculate the X-Intercept :
When y = 0 the value of x is 9/-4 Our line therefore "cuts" the x axis at x=-2.25000
x-intercept = 9/-4 = -2.25000
Calculate the Slope :
Slope = 2.667/2.000 = 1.333
Geometric figure: Straight Line
Slope = 2.667/2.000 = 1.333
x-intercept = 9/-4 = -2.25000
y-intercept = 9/3 = 3
Im going to write a long essay, do I indent my introduction paragraph?
Answer:
when writing a essay u should indent every paragraph
Step-by-step explanation:
Answer:
I would suggest that you do this to make the essay more "serious" looking, especially if this is for something important.
helppppp
i need the answer
Answer:
30
Step-by-step explanation:
y2-y1/x2-x1 = 37-(-23)/74-/4 = 60/20 = 30
Answer:
54/23 and 74/37 improper fraction
2.3 and 2integer
integers are rational numbers. Allays sometimes or never true
Answer:
always
Step-by-step explanation:
The table shows the ratio of tables to chairs in a classroom.
A 2-column table with 4 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4. Column 2 is labeled Chairs with entries 4, 8, question mark, 16.
Find the missing value in the table.
For 3 tables, there are chairs.
Answer:
For three tables, there are 12 chairs.
Step-by-step explanation:
Shawty had them apple bottom jeans-
—————————————————————
One table has 4 chairs. That means that two tables should have eight. Your adding 4 chairs everytime a table is added. Now 3 tables. Add 4 more chairs and you should get 12.
————————————————————-
Im sorry you haven’t got an answer in like 2 weeks, have a blessed day!
Please mark me brainlisest if i’m right))
Answer: 12
took the test
You saved $250.00 to spend over the summer. You decide
to budget $25,00 to spend each week.
a. Define the variable and write a function that
represents this situation.
The value of p in 18+6p=90 is???
Step-by-step explanation:
HOPE IT HELPS!!!!!!!!!
Answer:
[tex]p=12[/tex]
Step-by-step explanation:
[tex]18+6p=90\:[/tex]
[tex]18+6p-18=90-18[/tex]
[tex]6p=72[/tex]
[tex]\cfrac{6p}{6}=\cfrac{72}{6}[/tex]
[tex]p=12[/tex]
HOPE IT HELPS!!
please help!!! thank you
Answer:
answer below
Step-by-step explanation:
y = |x|
y = - |x| .... reflection over x axis
y = - |x+4| ... horizontal translation to the left 4 units
y = - |x+4| + 1 ... vertical translation 1 unit up
please help me quickly
Answer:
y=2x-2
Step-by-step explanation:
4=2(3)+b
-2=b
y=2x-2
18) How many points are on this plane?
A.1
B.6
C.5
D.7
If you want to enlarge
a photograph that
has a ratio of 3:5 by
a scale factor of 3,
what size photograph
would
you have?
may computer kana man eh
I want the best answers
Answer:
You need to be more specific of this question.
The formula for the perimeter of a rectangle can be written as P=2(l+w). Solve the formula for the length L
Answer:
(P/2)-w=l
Step-by-step explanation:
divide 2 from both sides then subtract w from both sides
The line passing through the points (5, 2) and (5, 4) has which of the following slopes?
A. Undefined
B. Zero
C. Positive
D. Negative
Answer:
IT'S A POSITIVE SLOPE HOPE THIS HELPS
which graph represents an exponential function
graphs in comments
HELP ASAP!!! IM BEING TIMED!!
Answer:it’s b
Step-by-step explanation:
If A= 30°verify:sin2A=2sinA.cosA
Answer:
..........hope it helps.....
4x = 75° + x
mZDCB
?
DONE
х
B
Answer:
75 degrees=3x
you have to divide 3 both sides to get x on its own,
25 degrees= x
2. The new rate of increase per kilowatt hour of electricity is Php0.125. What is the resulting rate if the original rate per kilowatt hour was Php 8.97?
Answer:
ang electricity ay 150 at ang sagot ay 7.65
At a Rubik's Cube competition, Martin solved the Rubik's Cube 5 times in 82.5 seconds.
On average, how long did it take him to solve the Rubik's Cube once?
Answer:
It takes him 16.5 seconds for each Rubik Cube
Step-by-step explanation:
Divide 82.5 by 5.
1. Explain how the volume of a right cone relates to the volume of a cylinder with the same base and height.
PLZ HELP ASAP: due at 11:59 tonight!!
A cylindrical container is to be constructed so that the sum of its height and its diameter is 15 feet.
a. Write an equation relating the height of the cylinder, h, to its radius, r. Solve the equation for h in
terms of r.
b. The volume of a cylinder is given V = pie • r^2 • h Use your answer in part a to express the volume of the
cylindrical container in terms of r alone. Leave your expression in factored form so that it will be
easier to analyze.
c. What are the values of r for which this problem makes sense? Explain.
Answer:
What’s it for? Is it for your assessmen. Ok I’m on it.
Step-by-step explanation:
A solid has faces that consist of 4 triangles, 3 rectangles, and 1 hexagon. The solid has 9 vertices. How many edges does the solid have?
A 12 edges
B. 15 edges
C 18 edges
D 21 edges
Answer:
Step-by-step explanation:
c)18
Answer:
B. 15 edgesStep-by-step explanation:
According to Euler's formula:
F + V = E + 2, where F- faces, V- vertices, E- edgesSubstitute known values and solve for E:
(4 + 3 + 1) + 9 = E + 217 = E + 2E = 17 - 2E = 15Correct choice is B
Hello could someone solve this please? The answer is: x = -1 or x = -2/25.
I would like a step by step solution please
Answer: the answer only -2/25
Step-by-step explanation:
[tex](5x + 3)^{2}= (\sqrt{3x+7} )^{2}[/tex]
[tex]25x^{2} +30x++9 = 3x+7[/tex]
[tex]25x^{2}+27x+2=0[/tex]
[tex](x+1)(25x+2)=0[/tex]
[tex]x=-1 , -\frac{2}{25}[/tex]
Check
[tex]x=-1[/tex]
[tex]5(-1)+3 =\sqrt{3(-1)+7}[/tex]
[tex]-2 =2[/tex]
The equality is false.
[tex]x=-\frac{2}{25}[/tex]
[tex]5(-\frac{2}{25} )+3 =\sqrt{3(-\frac{2}{25} )+7}[/tex]
[tex]\frac{13}{5}= \frac{13}{5}[/tex]
The equality is true.
[tex]x\neq -1[/tex]
[tex]x=-\frac{2}{25}[/tex]
Please give me a brainliest answer
How long would it take for a deposit to double if the annual interest rate is 5%?
Show your work
Given-
Annual interest rate = 5%
By using the rule of 72,
Rate x Time = 72
Rate = 5%
t = ?
So,
5 x t = 72
5t = 72
Isolate t by dividing both sides by 5 :-
→ 5t/5 = 72/5
→ t = 14.4 years
Hence, it will take 14.4 years for the deposit to double at 5% annual rate.
✍️ By Benjemin ☺️
write the equation of the line in slope intercept form if its slope is 3 and y intercept is -5
If you answer correctly I will give brainliest.
Answer:
y = 3x - 5
Step-by-step explanation:
1. The slope-intercept form a line is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. Given the values of m and b, let's plug them in:
[tex]y = (3)x+(-5)[/tex] [tex]y = 3x-5[/tex]Therefore, the equation of the line in slope-intercept form is y = 3x - 5.
Have a lovely rest of your day/night.
The equation of the line in slope intercept form is y=3x-5.
Given that, slope is 3 and y intercept is -5.
What is the slope intercept form?The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b.
Put m=3 and b=-5 in y = mx + b and simplify.
That is, y=3x-5
Therefore, the equation of the line in slope intercept form is y=3x-5.
To learn more about the slope intercept form visit:
https://brainly.com/question/9682526.
#SPJ2
which equation or inequality shows the relationship between the plotted points on the number line
A. 3 < -6
B.-6 > -3.
C.-6 < -3
D.-3 < -6
Answer:
letter c.po sagot diyan
Which rule explains why these triangles are congruent?
What the answer of this question?
Answer:
w = 3 cm
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 5 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 5 × 6 = [tex]\frac{1}{2}[/tex] × 30 = 15 cm²
Now the area of the rectangle is 15 cm²
area = length × width , that is
5w = 15 ( divide both sides by 5 )
w = 3 cm
Answer:
2.5
Step-by-step explanation:
equation the two areas in an equation and they are equal
[tex] \frac{1}{2} base \times height = length \times \: width[/tex]
but the width is w
substituting the values,
[tex] \frac{1}{2} (6)(5) = 6 \times w \\ 15 = 6w \\ w = \frac{15}{6 =} = \frac{5}{2 } = 2.5[/tex]
will mark as brainleist
Is the relation below a function? If it is a function, state its domain. (0, 3) , (2, -3) , (1, 8) ,(2, 3)
A. The relation is not a function.
B. The relation is a function. The domain is {0 , 1, 2}
C. The relation is a function. The domain is {-3 , 3, 8}
D. The relation is a function. The domain is {-3, 0, 1, 2, 3, 8}
Answer:
A. The relation is not a function
Step-by-step explanation:
there are 5 men for every 11 men. how many men will there be if there are 20 women?