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Sholpan [36]
2 years ago
13

Given the expression 2x^2 + 3x + c, what value could be filled in for c to create an equivalent expression that is factorable us

ing integers?
Mathematics
1 answer:
EastWind [94]2 years ago
4 0

Answer:

c = 1

Step-by-step explanation:

The given expresion is

2 {x}^{2}  + 3x + c

For this expression to be factorable using integers, we must find factors of 2c, that will sum up to 3.

We know 2,c are factors of 2c

Their sum should be 3.

c + 2 = 3

This implies that:

c = 3 - 2 \\ c = 1

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95% * x = 95

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Simplify the expression. Show each step. <br><br><br> –5 × 1 × 11 × 4.
netineya [11]
Simplify the following:
-5×1×11×4

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3 years ago
What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve. x = plus-or-minus StartRoot 5 EndRoot and x
Oduvanchick [21]

Answer:

<em>* x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *</em>

Step-by-step explanation:

Through factorization;

x^4 + 95x^2 – 500 = 0, ⇒ <em>u^2 ⇒ x^2</em>,

u^2 + 95u - 500 = 0, ⇒<em> factors of -500; -25, 20, -50 * 10, -2 * 250, -5 * 100...</em>

( u )^2 + ( - 5 + 100 ) + ( - 5 * 100 ) = 0,

( u - 5 )( u + 100 ) = 0,

<em>u = 5, and y = - 100</em>

Substitute u back into format x^2;

u = x^2, 5 = x^2, | x | = √5 ⇒ <em>x = - / + √5,</em>

u = x^2, - 100 = x^2, | x | = √- 100 ⇒ <em>x = - / + 10i</em>

<em>* Answer: x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *</em>

7 0
3 years ago
Geometry math question no Guessing and Please show work thank you
ANTONII [103]

Line DQ is equal to 7. Since point Q is the centeriod, this means that line DQ will equal the same as line QD. Thus, line QD is 7 making like DQ 7 as well. Hope that helped :))

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3 years ago
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