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tekilochka [14]

3 years ago

6

My question is in the picture I tried to multiply -7 on both sides and got -147 I don't know if it's correct or if it's the righ

t way to do it.

2 answers:

Mars2501 [29]3 years ago

7 0

Answer:

-3

Step-by-step explanation:

-7b = 21

/ -7 / -7

b = -3

Elena L [17]3 years ago

5 0

Answer:

-3

Step-by-step explanation:

Hope this helped have an amazing day!

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Identify all factors of the expression 〖4x〗^2+17x-15.

Basile [38]

The factors of given expression are: -5 and 3/4

Step-by-step explanation:

Given equation is:

$4x^2+17x-15$

Making pairs for the mid-term 17x by factoring the product of co-efficient of 4x^2 and 15

$4x^2+20x-3x-15$

$= 4x(x+5) - 3(x+5)$

$=(4x-3)(x+5)$

Now

$4x-3 = 0\\4x = 3\\x = \frac{3}{4}$

$x+5 = 0\\x = -5$

Hence,

The factors of given expression are: -5 and 3/4

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

$Area = 135yd^2$

$L=3W - 12$

Required

Determine the length of the rectangle:

Area is calculated as thus:

$Area = L * W$

Substitute 3W - 12 for L and 135 for Area

$135= (3W - 12) * W$

$135= 3W^2 - 12W$

Reorder:

$3W^2 - 12W - 135= 0$

Divide through by 3

$W^2 - 4W - 45 = 0$

Expand:

$W^2 - 9W + 5W - 45 = 0$

$W(W - 9) + 5(W - 9) = 0$

$(W + 5)(W-9) = 0$

$W + 5 = 0$ or $W - 9 = 0$

$W = -5$ or $W = 9$

But width can't be negative

So:

$W = 9$

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