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2 years ago

Expand the following: a) 2(x+3) b) 512x-4) C) 4(2x + 1) d) 6 x - 4y

Mathematics

1 answer:

castortr0y [4]2 years ago

3 0

Answer:

A.2x+6

B.60x-20

C.8x+4

D.6x-24y

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Write the fraction as a decimal 1/2

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1.2 is it as a decimal or 0.5

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During a food drive, a local middle school collected 8,982 canned food items. Each of the 28 classrooms that participated in the

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3 years ago

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zepelin [54]

Answer:

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

Step-by-step explanation:

We need to find equation from the table given

x f(x)

3 -5

7 -2

11 1

15 4

We can write equation in the form of $y=mx+b$

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: $Slope=\frac{y_2-y_1}{x_2-x_1}$

From the table we have: $x_1=3, y_1=-5, x_2=7, y_2=-2$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}$

So, we get slope $m=\frac{3}{4}$

Now, finding y-intercept

Using the slope $m=\frac{3}{4}$ and point (3,-5) we can find y-intercept

$y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}$

The y-intercept is $b=\frac{-29}{4}$

So, the equation having slope $m=\frac{3}{4}$ and y-intercept $b=\frac{-29}{4}$ will be:

$y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}$

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

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2 years ago

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nika2105 [10]

30/8=3.75
So, you need 4 trays, since you can't have 75% of a tray.
Hope this helps

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3 years ago

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Find the equation of the line that is parallel and passes through the point (9,6) find the equation of the line perpendicular

masya89 [10]

Any line parallel to this line can be written as y=-2/3x+c and passes through (9,6).thus 6=-2/3(9)+c.c-6=6.c=12.equation is y=-2/3x+12.

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3 years ago