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2 years ago

What is the product of `4` and `-2x + 3`?

Mathematics

1 answer:

Serjik [45]2 years ago

4 0

9514 1404 393

Answer:

-8x +12

Step-by-step explanation:

The distributive property can help you simplify the product.

(4)(-2x +3) = (4)(-2x) +(4)(3) = -8x +12

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How many different ways can you color the Olympic rings

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3 years ago

Solve and graph the following: -6 -8x >-5

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Answer:

-1/8 > x

Step-by-step explanation:

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2 years ago

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How many teams haven't apperared in a super bowl A. 2 B. 5 C.4 D. None

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c. 4

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3 years ago

One factor of the function f(x) = x3 − 8x2 + 17x − 10 is (x − 5). Describe how to find the x-intercepts and the y-intercept of t

kozerog [31]

Answer:

x-intercepts: (1,0), (2,0), (5,0)

y-intercepts: (0,-10)

Step-by-step explanation:

One factor of the function $f(x) = x^3-8x^2 + 17x-10$ is $(x-5).$

Factor the polynomial in the following way:

$x^3-8x^2 + 17x-10\\ \\=x^3-5x^2-3x^2+15x+2x-10\\ \\=x^2(x-5)-3x(x-5)+2(x-5)\\ \\=(x-5)(x^2-3x+2)$

Now factor the quadratic in brackets:

$x^2-3x+2\\ \\=x^2-2x-x+2\\ \\=x(x-2)-(x-2)\\ \\=(x-2)(x-1)$

Hence,

$f(x)=(x-5)(x-2)(x-1)$

The x-intercepts are points at which y = 0, so

$(x-5)(x-2)(x-1)=0\\ \\x-5=0\ \text{or}\ x-2=0\ \text{or}\ x-1=0\\ \\x=5\ \text{or}\ x=2\ \text{or}\ x=1$

The y-intercepts are points at which x = 0, so

$y=0^3-8\cdot 0^2+17\cdot 0-10=-10$

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2 years ago

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