All categories

3 years ago

Can someone help me with this question?

Mathematics

1 answer:

Lina20 [59]3 years ago

6 0

Answer:1/3

Step-by-step explanation:

gradient equals

$\frac{Y2-Y1}{X2-X1}$

= $\frac{5-3}{10-4}$

= $\frac{2}{6}$

= $\frac{1}{3}$

You might be interested in

The polynomial p(x)=3x^3-20x^2+37x-20 has a known factor of (x-4). Rewrite p(x) as a product of linear factors. p(x) =

vesna_86 [32]

Answer:

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

Step-by-step explanation:

p(x) has degree 3

(x - 4) has degree 1

So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)

$p(x) = (ax^{2} + bx + c)(x - 4)$

To find a, b and c, we have to divide p(x) by x - 4.

Finding a:

Dividing the first term of p(x) by x - 4.

$\frac{3x^{3}}{x - 4} = 3x^{2}$

So a = 3.

Now multiplying 3x² by, x - 4, we have:

$3x^{2}(x - 4) = 3x^{3} - 12x^{2}$

Subtracting p(x) from this:

$3x^{3} - 20x^{2} + 37x - 20 - (3x^{3} - 12x^{2}) = 3x^{3} - 20x^{2} + 37x - 20 - 3x^{3} + 12x^{2} = -8x^{2} + 37x - 20$

Finding b:

Dividing the first term, after the subtraction, by x - 4.

$\frac{-8x^{2}}{x - 4} = -8x$

So b = -8.

Multiplying -8x by x - 4, we have:

$-8x(x-4) = -8x^{2} + 32x$

Then

$-8x^{2} + 37x - 20 - (-8x^{2} + 32x) = -8x^{2} + 37x - 20 + 8x^{2} - 32x = 5x - 20$

Finding c:

$\frac{5x}{x - 4} = 5$

So c = 5.

Just to verify if the remainder is 0.

$5(x - 4) = 5x - 20$

$5x - 20 - (5x - 20) = 0$

Then:

$p(x) = (ax^{2} + bx + c)(x - 4)$

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

7 0

3 years ago

4( 3/4 + x) = 11. if you can figure it out 20 points

sineoko [7]

Answer:

Step-by-step explanation:

6 0

4 years ago

What expression is equivalent to 6 × 10^−4/2 × 10^3

Ksivusya [100]

The correct answer is: [A]: " 3 * 10 ⁻⁷ " .

_____________________

Explanation:

To solve:

Given:

<u> (6 * 10⁻⁴ ) </u> = (6 ÷ 2) * 10⁽⁻⁴ ⁻³⁾ = 3 * 10 ⁻⁷ ; which is:

(2 * 10³ )

→ Answer choice: [A]: " 3 * 10 ⁻⁷ " .

_____________________

4 0

4 years ago

Decrease £313 by 62%

Helga [31]

Answer:

194.06

Step-by-step explanation:

313×0.62=194.06

5 0

3 years ago

8) find the volume of a prism

Eduardwww [97]

Answer:

I may be wrong but A

Step-by-step explanation:

3 0

3 years ago