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Simora [160]
4 years ago
15

The domain of a quadratic function is all real numbers and the range is y s 2. How many x-intercepts does the

Mathematics
1 answer:
mel-nik [20]4 years ago
5 0

Answer:

There are two x-intercepts.

A quadratic function whose maximum degree two. Therefore, Total two x-intercept possible.

We are given the range of quadratic function y less than equal to 2. It means parabola is downward whose maximum value 2.

Here y is greater than 2 and parabola form downward. Here must be two x-intercept.

If a>0 then form open up parabola.

If a<0 then open down parabola.

Here open down parabola. So, we get total two x-intercept.

Please see the attachment for diagram.

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Please help! I can't find any tutorial videos
Lena [83]

The two horizontal lines are parallel ( This is given by the red triangles)


Because the lines are parallel, the two angles 1 & 2 would be the same.

Set the two equations for the angle to equal each other and solve:

8y-6 = 7y

Add 6 to each side:

8y = 7y+6

Subtract 7y from each side:

y = 6

Now you have the value for y, solve for angle 2 by replacing y with 6:

Angle 2 = 7y = 7(6) = 42 degrees.

3 0
3 years ago
Which function has a range of {y|y&lt;_5}?
Sveta_85 [38]

Answer:

f(x) = -(x-4)² + 5

Step-by-step explanation:

f(x) = -(x-4)² + 5

Has a maximum vertex at (4,5)

Which means the function has a greatest value of 5 at x = 4

Therefore the range is:

y《5

8 0
3 years ago
Can you also give me a step by step so I can learn to please.
kupik [55]

Answer:

Step-by-step explanation:

First step is Reflection over x-axis ⇒ Δ A' B' C'

Second step is Translation 2 units to the right ⇒ Δ A" B" C"

5 0
3 years ago
Tell whether x and y show direct variation. Explain your reasoning. y−x=0
Jlenok [28]

Answer:

yes

Step-by-step explanation:

Direct variation is represented as

y = kx, where k is a constant.  

We can rewrite y - x = 0 as

    y = x   (add x to both sides)

This can be looked at as

  y = (1)x     , so this is a direct variation relationship where k = 1

7 0
3 years ago
The price of an item has been reduced by 85<br> %. The original price was $17<br> .
mestny [16]

Answer:

The answer is 2.55

Step-by-step explanation:

As, the original price = $17

So, 85% of it have been reduced from it so

85% of 17

= 85/100 x 17 = 14.45

So it have reduced by $14.45

So, $17 - $14.45= $2.55

8 0
3 years ago
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