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aniked [119]
3 years ago
13

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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Differentiate the following function.<br> y=x(x^2+5)^2
dalvyx [7]
First, expand to make it easier
y=x(x^2+5)(x^2+5)
y=x(x^4+10x^2+25)
y=x^5+10x^3+25x
differentiation
y'=5x^4+30x^2+25 is the derivitive
8 0
3 years ago
In parallelogram FGHJ if m∡ GHJ=55˚ find m∡FGH
hodyreva [135]

Answer:

∠ FGH = 125°

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, then

∠ FGH + ∠ GHJ = 180° , that is

∠ FGH  + 55° = 180° ( subtract 55° from both sides )

∠ FGH = 125°

4 0
3 years ago
Read 2 more answers
Rafael counted a total of 40 white cars and yellow cars. There were 9 times as many white cars as yellow cars. How many whit car
blondinia [14]

yellow car = x

 white cars = 9x ( 9 times as many white cars)

9x +x = 40

10x = 40

x = 40/10 =4

4 yellow cars

9*4 = 36 white cars

3 0
3 years ago
A factory produces 60005/12
ycow [4]

Answer:

About\ 193 \frac{209}{372} \ tons\ of \ steel

Step-by-step explanation:

Given the amount of tons of steel produced monthly by a factory to be 6000 5/12 tons, to determine their daily production, we need to use the conversion;

Maximum of 31 days = 1 month

This means that the steel company produces 6000 5/12 tons of steel in 31 days.

6000 5/12 tons = 31 dsays

72,005/12 tons = 31 days

in a day, the company will therefore produce approx. (72,005/12)/31 tons of steel.

(72,005/12)/31  = 72,005/12 * 1/31

= 72,005/12*31

= 72,005/372

= 193  209/372 tons of steel.

Hence, the factory produces about 193 \frac{209}{372} tons of steel daily

6 0
3 years ago
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
raketka [301]

Answer:

yes

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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