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3 years ago

Determine the slope and y-intercept of this equation 6X + 7 y equals 14

Mathematics

1 answer:

brilliants [131]3 years ago

8 0

I will be trying to get the equation into slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept

6x + 7y = 14 Isolate the "y". First subtract 6x on both sides

7y = 14 - 6x Divide 7 on both sides

$y=2-\frac{6}{7} x$ or $y = -\frac{6}{7}x+2$

The slope is $-\frac{6}{7}$

The y-intercept is 2

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Solve for y and find solution

Arisa [49]

Please give the equation.

5 0

3 years ago

Two cyclists leave city at same time, one going east and the other going west. The westbound cyclist bikes 3 mph faster than the

Bumek [7]

Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.

Solution:

Let us assume that x is speed of slower eastbound cyclist

So, x+3 will be the speed of faster westbound cyclist

We know that distance is the product of speed and time. That is,

$\text{Distance}=\text{Speed}\times\text{Time}$

West-bound DATA:

Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles

East-bound DATA:

Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles

On solving,

Distance apart = 162

$\Rightarrow6x+18+6x = 162$

$\Rightarrow12x=162-18$

$\Rightarrow x=\frac{144}{12}\rightarrow x=12$

So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be $x+3=12+3=15 \text{ mph}$

8 0

3 years ago

It is given 5 and h + 1 are the roots of the quadratic equation x² + (k - 1)x - 5 = 0,where h and k are constant.Find the value

Liono4ka [1.6K]

Answer:

Hello,

k=-3 and h=-2

Step-by-step explanation:

$5\ is\ a \ root \of \ x^2+(k-1)*x-5=0\\\\5^2+(k-1)*5-5=0\\\\5*(k-1)+20=0\\\\k-1=\dfrac{-20}{5} \\\\k=-4+1\\\\\boxed{k=-3}\\$

h+1 is thus a root of x²+(-3-1)*x-5=0

x²-4x-5=0

x²+x-5x-5=0

x(x+1)-5(x+1)=0

(x+1)(x-5)=0

h+1=-1

h=-2

6 0

3 years ago

(03.05 MC) Daisy recorded the temperatures at which two oils freeze: Oil Temperature Cottonseed oil –48.1 °C Palm oil 24.1 °C Wh

ratelena [41]

Answer:

a. Cottonseed oil freezes at a lower temperature than palm oil because –48.1 °C < 24.1 °C

Step-by-step explanation:

–48.1 °C is lower than 24.1 °C since it lies on the negative side of the number line. Thus, Cottonseed oil freezes at a lower temperature than palm oil

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3 years ago

Write the equation in slope-intercept form: 3y = 2x +15

Sergeu [11.5K]

Answer:

y = 2/3x + 5

Step-by-step explanation:

Hope this helps! :)

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3 years ago