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tino4ka555 [31]
3 years ago
13

Which decimal is equivalent to 5/12 ? A. 0.416 B. 0.416 C. 0.416 D. 0.416

Mathematics
1 answer:
sleet_krkn [62]3 years ago
3 0
They’re all the same answer so...??
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If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

5 0
3 years ago
What is the product (2x + 3y) (7x – 4y)?
cupoosta [38]

Answer:

14x²-12y²

Step-by-step explanation:

5 0
3 years ago
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Is the correct pls help me!! I will mark you!!!
ivolga24 [154]

Answer:

-10 3

-9 4

-8 5

-3 10

Step-by-step explanation:

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5 0
3 years ago
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What is the product (9t-4)(-9-4)
Scrat [10]

Answer:

-81t^2 +16

Step-by-step explanation:

(9t-4)(-9t-4)

FOIL

first: -9t*9t = -81t^2

outer : -4*9t = -36t

inner : -4 *-9t = 46t

last = -4*-4 = 16

Add them together

-81t^2 -36t+36t+16

-81t^2 +16

6 0
3 years ago
The graph represents revenue in dollars as a function of greeting cards sold. A coordinate plane showing Greeting Card Revenue,
Travka [436]

Answer:

y=4x

Step-by-step explanation:

7 0
3 years ago
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