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3 years ago

Does this graph represent a function?Why or why not

1 answer:

7 0

If the graph has 2 different y values for the same x value then it is not a function if all points only have one y value per x value then it is a function

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Written as a simplified polynomial in standard form, what is

wolverine [178]

Answer:

$\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35$

Step-by-step explanation:

As we have to subtract $\left(2x\:-\:5\right)^2$ from $\left(x-10\right)$

$\left(x-10\right)-\left(2x\:-\:5\right)^2$

solving and simplifying the polynomial in standard form

$\left(x-10\right)-\left(2x-5\right)^2$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$=x-10-\left(2x-5\right)^2$

$=x-10-\left(4x^2-20x+25\right)$ ∵ $\left(2x\:-\:5\right)^2=\:4x^2-20x+25$

$=x-10-4x^2+20x-25$

$=-4x^2+21x-35$

We know that standard form means that the terms of the expression are ordered from biggest exponent to lowest exponent.

Thus, a simplified polynomial in standard form is:

$\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35$

3 0

3 years ago

Which of the following statements is false?

Over [174]

It’s going to be C because it’s false on all the other ones so yeah

6 0

3 years ago

Ryan and Taylor are both saving money to buy new video game equipment. Ryan's savings plan can be modeled by the function s= 15m

vivado [14]

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Recall:

A linear function is modelled by the equation, y = mx + b, where m is the rate of change and b is the initial value (starting value).

Rate of change = change in y/change in x

Ryan's Savings Plan Function:

s = 15m + 50

Thus, the starting value (starting balance) modelled by this function is $50

The slope/rate of change is $15 per month

Taylor's Savings Plan:

Given the table, the starting value will be the amount saved (initial value) at 0 number of months.

Therefore, Taylor's starting balance is: $25

Using (0, 25) and (1, 45) find the rate of change:

Rate of change = (45 - 25)/(1-0) = 20/1 = $20

In summary:

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Learn more about linear function on:

brainly.com/question/15602982

4 0

2 years ago

The side lengths of triangle ABC are 3,4, and 5 which set of ordered pairs from a triangle that is congruent to triangle ABC?

Anarel [89]

The answer is A.)(-3,1) , (-3,5) , (0,5)

Hope this helps! :)

5 0

3 years ago

What is angle y and why ?? when b is 90

lesya692 [45]

You have to sit calmly and quietly and look over this one for a few minutes,
until you see what's going on.

When the top triangle got flopped over to make the bottom one,
the 12-cm side on top made another 12-cm side on the bottom.

Also, the short 6-cm piece made another 6-cm piece hooked onto it,
and when those are put together, they make 12-cm all together.

So now, look at the whole outside triangle that you have, after the two
inside ones are put together. The top slanty side is 12-cm, the bottom
slanty side is 12-cm, and the straight up-and-down side is also 12-cm.
The new big triangle is an equilateral triangle !

What do you know about an equilateral triangle ?

-- All three sides are the same length.
-- All three angles are the same size.

If all three angles are the same size, how big is each one ?

Hint: The three angles of every triangle add up to 180 degrees.

So angle-y must be 1/3 of 180 = 60 degrees.

3 0

3 years ago