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Wewaii [24]
3 years ago
5

Select the correct answer. Graph the given function and choose the key features that apply to its graph. y = x2 − 2x − 4

Mathematics
1 answer:
vlabodo [156]3 years ago
6 0

Answer:

Step-by-step explanation:

y = x^2 - 2x - 4

Convert to vertex form:

y = (x - 1)^2 - 1 - 4

y = (x - 1)^2 - 5

From this we conclude that there is a minimum vertex at (1, -5). It is a minimum because the coefficient of x^2 is positive.

It looks like a letter U  and its symmetrical about the line x = 1.

You can plot 3 more points at say, where x = -2  ( and y = (-2)^2 - 2(-2) - 4)

and x = 4 ( y = 4^2 - 2(4) - 4 ) . Also where x = 0 and y = -4.

then draw the graph through these 3 points and the vertex.

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Find the value of x.
melamori03 [73]

9514 1404 393

Answer:

  (b)  48

Step-by-step explanation:

In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.

  x = √(36·64) = √36×√64 = 6×8

  x = 48

_____

All of the triangles are similar, so the ratios of corresponding sides are the same.

  short side/long side =  x/64 = 36/x

  x^2 = (64)(36) . . . .  as above

6 0
3 years ago
What is y=4/5x-7 in point slope form
san4es73 [151]

Answer:

y - 7 = m (x- 0)

Step-by-step explanation:

Slope intercept form is y = mx + b. B is the y intercept, which gives us a point: (0, 7) that we can use in point slope form. M is the slope, 4/5. Now we have all the pieces for point slope form:

y - y1 = m (x - x1)

Now plug in the info!

y - 7 = m (x- 0)

3 0
3 years ago
Write an equation for a translation 1 unit down and 5 units right of y=|x|.<br> (y=[blank])
inn [45]

Answer:

Hence the corresponding equation of the given problem will be:

y'=|x-5|-1

Step-by-step explanation:

Let y' denote the corresponding equation after the translation of the given function y

We are given a equation of a function as:   y=|x|.

Now we have to write an equation such that there is a translation 1 unit down and 5 units right of y=|x|.

We know that for any function f(x) the translation 'a' units down is given by:

f(x)-a

And the translation 'b' units right of a function g(x) is given by:

g(x-b)

Hence the corresponding equation of the given problem will be:

y'=|x-5|-1



7 0
3 years ago
Nicole wants to replace a glass window in her restaurant. The window is in the shape of a square. It’s side lengths are 11 feet.
Ede4ka [16]

Answer:

275

Step-by-step explanation:

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3 years ago
A school has an equal amount of boys and girls. You use a coin to simulate the first three students to arrive at school each day
Nimfa-mama [501]

Answer:3/20

Step-by-step explanation:

Heads=Boy

Tails=Girl

If the first 3 students are boys, all 3 coins must be heads.

Because in 3 of these experiments, the coins all land on heads, and there are 20 experiments completed, 3 out of the 20 experiments are 3 boys; 3/20.

3 0
3 years ago
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