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3 years ago

Which equation is an equivalent form of y=x^2-2x-15?

Mathematics

1 answer:

Leya [2.2K]3 years ago

5 0

$y=x^2-2x-15=x^2-2\cdot x\cdot1+1^2-1^2-15=(x-1)^2-16$

Answer: a) y = (x - 1)² - 16

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Write the ratio in its simplest form: 48mm : 6m

REY [17]

Answer:

23: 3000

Step-by-step explanation:

46mm:6m

change 6m to mm

46mm : 6000mm

number that can divide both without remainder

46/2 : 6000/2

answer 23:3000

5 0

3 years ago

3x² + 8x - 4=0 Use the quadratic formula to solve the equation

Lisa [10]

Answer:

x=4/14

Step-by-step explanation:

step one:

3x^2+8x-4=0 turns into -

6x+8x-4=0

Step two:

6x+8x-4=0 turns into -

14x-4=0 because you have to combine like terms

Step three:

14x-4= 0 turns into

14x=4 to get x by itself

Step four:

14x=4 turns into -

x=4/14

5 0

3 years ago

Read 2 more answers

What geometric figure cannot have two right angles?

natali 33 [55]

Answer:

triangle

Step-by-step explanation:

A triangle can not have 2 right angles.

6 0

4 years ago

Read 2 more answers

vitfil [10]

Answer:

$x = \frac{1}{e}$

Step-by-step explanation:

$f(x) = {(lnx)}^{2}$

$f1st(x) = \frac{2 lnx }{x} = 0$

$x < 1 \: \: f1 < 0 \: \: de creasing$

$f2nd(x) = \frac{2 - 2 lnx}{ {x}^{2} } = 0$

$x < e \: \: f2 > 0 \: \: concave \: up$

So x<1 is the condition which contains x=1/e

8 0

2 years ago

50 POINTS FOR CORRECT AWNSER!

Grace [21]

Answer:

$\mathsf{y < \dfrac47x-4}$

Step-by-step explanation:

First, find the equation of the line.

Slope-intercept form of a linear equation: $\mathsf{y=mx+b}$

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, -4)

Therefore, b = -4

Choose another point on the line, e.g. (7, 0)

Now use the slope formula to find the slope:

$\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}$

where:

$\mathsf{(x_1,y_1)=(0,-4)}$
$\mathsf{(x_2,y_2)=(7,0)}$

$\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}$

Therefore, the equation of the line is:

$\mathsf{y=\dfrac47x-4}$

For an inequality, the dashed line means < or > (whereas a solid line means ≤ or ≥)

As the shading is below the line, we need to use <

Therefore, the final inequality is:

$\mathsf{y < \dfrac47x-4}$

8 0

2 years ago