All categories

2 years ago

Whats the vertex form of y=x^2-20x+15

1 answer:

6 0

This looks like a parabola so:
y=x^2 - 20x + 15 --> x^2 - 20x +15=y
(x^2 -20x)=y - 15 --> (x - 10)^2=y - 15 +100 ( used complete the square)
(x - 10)^2=y + 85

You might be interested in

Solve |y + 2| > 6 pls help

solmaris [256]

Answer:

Step-by-step explanation:

Definition of an absolute value is:

$|a|=\left \{ {{a, if a\geq 0} \atop {-a, if a$

1). Assume that (y + 2) ≥ 0, then

y + 2 > 6 ⇒ y > 4

2). Now, if (y + 2) < 0, then

- (y + 2) > 6 ⇔ - y - 2 > 6 ⇒ y < - 8

y ∈ ( - ∞ , - 8) ∪ (4 , ∞ )

7 0

2 years ago

G+5>12 solution please i don’t know how to do this

Musya8 [376]

Answer: g > 7

Graph has an open circle at 7 on the number line, shading to the right

================================================

Explanation:

Think of it like saying "I have a number, and I add on 5. The result is something larger than 12". You can guess and check your way to the answer, but the quickest way is to subtract 5 from both sides.

We subtract to undo the addition happening to the 'g'.

g+5 > 12

g+5-5 > 12-5

g > 7

So the number is larger than 7. For instance, if g = 8, then,

g+5 > 12

8+5 > 12

13 > 12

This is a true statement.

-------------------------

If you need to graph the solution, then you'll have an open circle at 7 on the number line. The open circle says to the reader "don't include this value as part of the solution set". Shade to the right of the open circle to describe all values larger than 7.

In summary, the graph has an open circle at 7 and shading to the right.

3 0

2 years ago

For the following right triangle find the side length x round your answer to the nearest hundredth

pashok25 [27]

Answer:

x ≈ 12.96

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 11² = 17²

x² + 121 = 289 ( subtract 121 from both sides )

x² = 168 ( take the square root of both sides )

x = $\sqrt{168}$ ≈ 12.96 ( to the nearest hundredth )

3 0

2 years ago

Question 8

Anna35 [415]

Answer:

33.31 cm or higher

Step-by-step explanation:

Given that:

Mean = 29.79 cm

Standard deviation, s = 1.76 cm

According to the range rule of thumb, values which are greater than or equal to 2 standard deviations from the mean are significantly high values :

Significantly high values are :

Mean + 2(standard deviation)

29.79 cm + 2(1.76)

29.79 + 3.52

= 33.31cm

3 0

2 years ago

State of the given functions are inverses

bonufazy [111]

Answer:

1) They are not inverses

2) They are inverses

Step-by-step explanation:

We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.

1)

Let's find f[g(x)] and simplify.

$f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}$