Solve the following inequality

I need to find the equation for this.. I keep getting confused please explain

weqwewe [10]

The vertex form equation is y = a(x-h)^2+k
Lets substitute our given information.

y = a(x-1)^2+5

Now, lets put in the coordinate it needs to pass through.

8 = a(2-1)^2 + 5
8 = a + 5
a = 3

Now, lets make the equation now that we know a.

y = 3(x-1)^2+5

Hope this helps!

6 0

2 years ago

Can two dot plot have the same median and range but have completely shapes?

aliya0001 [1]

Yes because the median and range are not a function of the totality of the sample set, the median is just value that is halfway of the set.

Hope this helps :)
~Davinia.

5 0

2 years ago

Which ordered pairs are solutions to the inequality y−2x≤−3?

My name is Ann [436]

we will proceed to resolve each case to determine the solution

we have

$y-2x \leq -3$

$y\leq2x-3$

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) $(5,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*5-3$

$-3\leq7$ -------> is true

so

The ordered pair $(5,-3)$ is a solution

case b) $(0,-2)$

Substitute the value of x and y in the inequality

$-2\leq2*0-3$

$-2\leq-3$ -------> is False

so

The ordered pair $(0,-2)$ is not a solution

case c) $(-6,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*-6-3$

$-3\leq-15$ -------> is False

so

The ordered pair $(-6,-3)$ is not a solution

case d) $(1,-1)$

Substitute the value of x and y in the inequality

$-1\leq2*1-3$

$-1\leq-1$ -------> is True

so

The ordered pair $(1,-1)$ is a solution

case e) $(7,12)$

Substitute the value of x and y in the inequality

$12\leq2*7-3$

$12\leq11$ -------> is False

so

The ordered pair $(7,12)$ is not a solution

Verify

using a graphing tool

see the attached figure

the solution is the shaded area below the line

The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality

6 0

3 years ago

Read 2 more answers

a cylinder has a height that is 2 times as large as its radius. The lateral area of the cylinder is 16pi square units. What is t

Sav [38]

4 ............I think

5 0

2 years ago

The faces of a tetrahedron die are numbered 1 to 4. If each of the 4 sides is equally likely to land down, what is the probabili

Marat540 [252]

Hello!

If there is 4 faces and 1/4 chance of any side end up face down, we just have to decrease one chance, so, the chance of the face "2" does not end up face down is equal the sum of the chances of the others faces end up face down, so, we have: 3/4.

Hugs!

8 0

3 years ago

Read 2 more answers