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2 years ago

Is (x+1) a factor of the function f(x) = 7x^4 – 5x^3 – 10x² + 2x, and why?

Mathematics

1 answer:

Schach [20]2 years ago

7 0

Answer:

first option

Step-by-step explanation:

If ( x + h) is a factor of f(x) then f(- h) = 0 , then

If (x + 1) is a factor of f(x) then f(- 1) = 0

f(- 1) = 7 $(-1)^{4}$ - 5(- 1)³ - 10(- 1)² + 2(- 1)

= 7(1) - 5(- 1) - 10(1) - 2

= 7 + 5 - 10 - 2

= 12 - 12

= 0

Since f(- 1) = 0 then (x + 1) is a factor of f(x)

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What is the equation of the line with a slope of 3/4 that goes through the point (4, 1) in slope-intercept form?

Svetach [21]

Answer:

$y=\frac{3}{4}x+-2$

Step-by-step explanation:

We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is $y -y_{1} =m(x -x_{1})$ where we substitute a point (x,y) for $(x_{1},y_{1})$ .

We have m=3/4 and (4, 1). We input m and $x_{1} =4\\y_{1}=1$ .

$y-1=\frac{3}{4} (x-4)$

We now simplify the parenthesis and solve for y.

$y-1=\frac{3}{4} (x-4)\\y-1=\frac{3}{4}x+\frac{3}{4} (-4)$

We convert -4 into a fraction with 1 as the denominator.

$y-1=\frac{3}{4}x+\frac{3}{4} (\frac{-4}{1} )\\y-1=\frac{3}{4}x+\frac{-12}{4}\\y-1=\frac{3}{4}x+-3$

We add 1 to both sides to isolate y,

$y-1+1=\frac{3}{4}x+-3+1\\y=\frac{3}{4}x+-2$

This is slope intercept form. The line as slope 3/4 and y-intercept (0,2) or b=2.

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3 years ago

Determine whether (3,2) is a solution of y = 3x +2.

Snowcat [4.5K]

Answer:

This point is not a solution to the equivalence

Step-by-step explanation:

Becouse if we put x= 3 then y= 11

$y = 3 \times 3 + 2 = 11$

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2 years ago

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Common difference of the arithmetic sequence, is

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I hope that's help !

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3 years ago

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