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3 years ago

Rewrite each of the following linear equation in equivalent y=mx+b

Mathematics

1 answer:

aev [14]3 years ago

8 0

You are given a line is standard form, so to transform it to the slope-intercept form, you simply have to solve it for y, and you will have y=mx+b.

2y-3x=10 add 3x to both sides

2y=3x+10 divide both sides by 2

y=1.5x+5, since y=mx+b, m=slope and b=y-intercept

slope=1.5 and the y-intercept is, technically the point, (0, 5)

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What is 15% of 135, show your work

SIZIF [17.4K]

Answer:

20.25

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 135.

Step 2: We represent the unknown value with $x$

Step 3: From step 1 above,$135=100\%$

Step 4: Similarly, $x=15.\%$

Step 5: This results in a pair of simple equations:

$135=100\%(1)$.

$x=15.\%(2)$

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{135}{x}=\frac{100\%}{15.\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{135}=\frac{15.}{100}$

$\Rightarrow x=20.25$Therefore, $15.\%$ of $135$ is

sorry if it took to long have a great day and brainliest is appreciated!!!!!

5 0

3 years ago

An angle measures 8.8° more than the measure of its complementary angle. What is the measure of each angle?

Fittoniya [83]

Based on the definition of complementary angles, the two angles are: 49.4° and 40.6°.

<h3>What are Complementary Angles?</h3>

Angles that are complementary angles have a sum of 90 degrees.

Let the angle be represented as x

Complement of the angle = (90 - x)

Therefore, we would have:

x = (90 - x) + 8.8

x = 90 - x + 8.8

x = 98.8 - x

x + x = 98.8

2x = 98.8

x = 98.8/2

x = 49.4°

The second angle would be: 90 - 49.4 = 40.6°

The angles are 49.4° and 40.6°.

Learn more about complementary angles on:

brainly.com/question/16281260

#SPJ1

6 0

2 years ago

f(x)=5x reflected over the x axis

postnew [5]

Answer:

f(x) = -5x

Step-by-step explanation:

Just add a - sign to reflect it over the x axis

6 0

3 years ago

The tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produce

AysviL [449]

<u>ANSWER</u>

The correct answer is A

<u>EXPLANATION</u>

To find the ink cost of each card coming from printer B, we need to find the total cost from printer B and the total number of cards printed by Printer B.

The total hours of all the three printers over the three weeks

$=40+45+55+50+50+30+45+40+60=415$

The total hours of printer B only

$=50+50+30=130$

Total number of cards produced over the three weeks

$=7950+7800+9600=25350$

We can use ratio and proportion to determine the total cards produce by printer B only.

$415:25350$

$130:x$

If less, more divides

$x=\frac{130\times 25350}{415} \approx7941$

Total cost of Printer B in 130 hours

$ $=130 \times 15=1950$

The ink cost

$=\frac{1950}{7941}$

$=0.2456$

$ $\approx 0.30$

to 2 decimal places

8 0

3 years ago

Read 2 more answers

Find the point on the line y = 2x + 3 that is closest to the origin.

ch4aika [34]

1)We have to make a line perpendicular to y=2x+3, passing through the point (0,0).

y=2x+3
m=solpe=2

The slope of the line perpedicular to y=2x+3 is m´
m´=-1/m
m´=-1/2

Point slope form:
y-y₀=m(x-x₀)
(0,0)
m=-1/2

y-0=-1/2(x-0)
y=-x/2

Therefore, the line perpendicular to y=2x+3 is y=-x/2.

2)The point on the line y=2x+3 tha is closest to the origin is the point of intersection of the two lines.

y=2x+3
y=-x/2

We can solve this system of equations by equalization method.
2x+3=-x/2
least common multiple=2
4x+6=-x
4x+x=-6
5x=-6
x=-6/5 (=-1.2)

y=-x/2
y=-(-6/5)/2=6/10=3/5 (=0,6)

Therefore: the point of the line y=2x+3 that is closest to the origin is:
(-1.2 , 0.6)

3 0

3 years ago