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2 years ago

7

James had a business mowing lawns for $25 per lawn and raking leaves for $0.75 per pile. His goal is to earn exactly $37 each ti

me he mows a lawn and rakes leaves. If x represent the nber of pile ñd of leave, how many piles of leaves must james rake to make his goal each time?

1 answer:

Marizza181 [45]2 years ago

3 0

Answer:

Step-by-step explanation:

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8x-5y= 14<br> – 5х+бу = -3

podryga [215]

Answer:

y= 34/23

x= 123/46

Step-by-step explanation:

Solve for x

8x-5y= 14

x= 14/8 +5/8y

Sub x into second equation

– 5х+бу = -3

-5(14/8 +5/8y) + 6y= -3

-29/4 +23/8y = -3

y= 34/23

Sub y into any equation and solve for x

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3 years ago

Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers

lidiya [134]

Answer:

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

Step-by-step explanation:

We are given $x=\sqrt{3}-1$ and we are asked to find the value of $x^2-x+1$ .

So we will need to find $x^2$ .

$x=\sqrt{3}-1$

Square both sides:

$x^2=(\sqrt{3}-1)^2$

Expand using identity: $(x-a)^2=x^2-2ax+a^2$ .

$x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2$

$x^2=3-2\sqrt{3}+1$

$x^2=4-2\sqrt{3}$

Let's go back to the full $x^2-x+1$ .

$x^2-x+1$

$(4-2\sqrt{3})-(\sqrt{3}-1)+1$

$4-2\sqrt{3}-\sqrt{3}+1+1$

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

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3 years ago

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myrzilka [38]

Answer:

a

Step-by-step explanation:

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Nana76 [90]

Answer:

x-less than-or-equal-to 3

Step-by-step explanation:

4x + 6 < 18 (less than or equal to)

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3 years ago

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