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3 years ago

Evaluate the polynomial when a.x=0 and b.x=-1 x2 – 3x - 7

Mathematics

1 answer:

Arlecino [84]3 years ago

6 0

Answer:

a) -7 & b) -6

Step-by-step explanation:

Here,

a) x = 0

Solution ↦

$x2 - 3x - 7 \\ = 0 \times 2 - 3 \times 0 - 7 \\ = - 7$

b) x = -1

Solution ↦

$x2 - 3x - 7 \\ = - 1 \times 2 - 3 \times ( - 1) - 7 \\ = - 2 + 3 - 7 \\ = - 9 + 3 \\ = - 6$

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Read 2 more answers

Find the equation line (5,6), (4,7)

34kurt

Answer:

$x+y=11$

Step-by-step explanation:

Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.

The two point form is given as

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$

Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.

$\frac{y-6}{x-5}=\frac{7-6}{4-5}$

$\frac{y-6}{x-5}=\frac{1}{-1}$

$(y-6)=-(x-5)$

$y-6=-x+5$

adding x and 6 on both sides we get

$x+y=11$

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8 0

3 years ago

The slope of the line below is -2. Use the coordinates of the labeled point to find the point-slope equation of the line. (4, -6

r-ruslan [8.4K]

Answer:

The point-slope equation of the line is $y = -2x +2$ or $2x+y = 2$

Solution:

Let us assume that the slope is m and the y intercept of the line is b

Hence, $y=m x+b$ --------- (i)

y intercept means we need to find the value of y when x is 0

Here the line passes through point (4,-6) and slope m = (-2)

Now putting the point (4,-6) in equation (i) we get,

$\Rightarrow-6 = m\times4 +b$

$\Rightarrow-6 = (-2)\times4 +b$

$\Rightarrow-6 = -8 +b$

$\Rightarrow-6+8 =b$

$\Rightarrow b = 2$

So, the equation of the line will be will be $y = -2x +2$ or $2x+y = 2$

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3 years ago