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3 years ago

The line represented by the equation 2y - 3x = 4 has a slope of.....

Mathematics

1 answer:

S_A_V [24]3 years ago

7 0

2y - 3x = 4
2y = 3x + 4
y = 3/2*x + 2

y = kx + b ==>

k = 3/2 = 1,5

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F almonds sell for $1.20 per pound, and walnuts sell for $.75 per pound, how many pounds of each must be used to make 45 pounds

lukranit [14]

Answer:

Option A.) 20 pounds of walnuts and 25 pounds of almonds is correct.

Step-by-step explanation:

i) let x be the the number of pounds of almonds

ii) let y be the number of pounds of walnuts

iii) therefore x + y = 45 pounds of the mixture

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v) Multipling equation in iv) by 4 we get

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3 years ago

−2(2x+3)≤26 - 2 2 x + 3 ≤ 26 ?

SashulF [63]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26.$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26$

Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

$2x+3\geq \frac{26}{-2} \\$

Divide 26 by -2..we'll get the answer as -13.

$2x+3\geq -13$

Now, subtract 3 from both the sides.

$2x\geq -13-3$

Subtracting -13 by 3..we'll get the answer as -16.

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Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

$x\geq \frac{-16}{2} \\$

Divide -16 by 2..we'll get the answer as -8.

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The correct answer is ⇨ x greater than or equal to -8.

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2 years ago

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Dale is standing (2x + 7) feet height from the base of the tower.

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