Which expression plzzzz helpppppppp

Mathematics

1 answer:

lara31 [8.8K]4 years ago

7 0

Answer is D

sum of constants = 8 + 4 = 12
sum of coefficients = 7 + 3 = 10

12 > 10

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Identify the quotient and remainder when 1050 is divided by 13.

Alinara [238K]

Answer:80 R:10

Step-by-step explanation:

1050 divided by 13 is 80 R 10

7 0

2 years ago

For the function F(x) = 2x^2-31x-51, where is the function increasing and positive? ( for all X values greater than what number

Ulleksa [173]

ANSWER
$x \: > \: 17$

EXPLANATION

The given function is

$f(x) = 2 {x}^{2} - 31x - 51$
Let us split the middle term to get,

$f(x) = 2 {x}^{2} -34x + 3x- 51$

We factor to obtain,

$f(x) = 2x(x - 17) -+3(x - 17)$

$f(x) = (2x -+3)(x -17)$

Let us find the zeros of f(x),

$(2x +3)(x - 17) = 0$

Either

$2x +3 = 0 \: or \: x - 17 = 0$
$x = -\frac{3}{2} \: or \: x = 17$

We need to find the x-value of the vertex, which is the midpoint of the x-intercepts.

This gives us,

$\frac{- \frac{3}{2} + 17}{2} = 7.75$
Hence the axis of symmetry of the parabola has equation,

$x = 7.75$

Since the given function has minimum turning point, it will decrease and then increase.

The function will be increasing for
$x \: > \: 7.75$

The function will be increasing and positive for
$x \: > \: 17$