Distributive Method (2x+3)(x

Mathematics

1 answer:

Ann [662]2 years ago

5 0

Answer

(2x + 3)=x+7

2x+3=x+7

2x-x=7-3

1x=4

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Use the discriminant to determine which graph could represent the equation. y=x^2+4x+5

lidiya [134]

ANSWER

See attachment.

EXPLANATION

The given function is

$y = {x}^{2} + 4x + 5$

When we compare this function to

$y = a{x}^{2} + bx + c$

We have a=1, b=4 and c=5

We put this inside the formula for the discriminant, which is

$D = {b}^{2} - 4ac$

$D = {4}^{2} - 4(1)(5)$

$D = 16 - 20 = - 4$

Since the discriminant is negative, the function has no x-intercepts.

The graph of this function is the one hanging in the air above the x-axis and opens upwards.

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What prefix would you use if you wanted an answer that would be equal to 100 times larger than a meter?

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if your question would be 1000 times larger, then it would be "kilo" and this one is actually widely used.

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You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?

lisabon 2012 [21]

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Is 10 a factor, multiple, or neither of 20?

goblinko [34]

10 is a factor of 20

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3 years ago

5(2x - 3) + 2 (3x + 1)

astraxan [27]

<span> 1/3(2x - 3) + 1 = 1/4(3x + 5) - 2
2x/3 - 3/3 + 1 = 3x/4 + 5/4 - 2
2x/3 - 1 + 1 = 3x/4 + 5/4 - 2
2x/3 - 3x/4 - 0 = 3x/4 - 3x/4 + 5/4 - 2
2x*4/3*4 - 3x*3/4*3 = 0 + 5*1/4*1 - 2*4/1*4
8x/12 - 9x/12 = 5/4 - 8/4
(8x - 9x)/12 = (5 - 8)/4
-x/12 = -3/4
-x/12 * 12 = -3/4 * 12
-x = -36/4
-x * -1 = -36/4 * -1
x = 36/4
x = 9
Done

For check the answer
let x = 9
1/3(2[9] - 3) + 1 = 1/4(3[9] + 5) - 2
1/3(18 - 3) + 1 = 1/4(27 + 5) - 2
1/3(15) + 1 = 1/4(32) - 2
15/3 + 1 = 32/4 - 2
15/3 + 3/3 = 32/4 - 8/4
18/3 = 24/4
6 = 6
therefor
x = 9 is a correct answer</span>

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3 years ago