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3 years ago

What is the range of the function y=-x^2 + 1

Mathematics

2 answers:

dedylja [7]3 years ago

6 0

Answer:

The range is:

(−∞,1]

Step-by-step explanation:

The domain of

f(x)is R

So for every x that you put in the function, y≤1 that means is the upper bound of the function.

Sauron [17]3 years ago

4 0

Step-by-step explanation: he domain of f ( x ) is R :T so for every x that you put in the function y ≤ 1 , that means is the upper bound of the function.

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Are the following figures similar? Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15. Yes

Tatiana [17]

Answer:

Yes; the corresponding sides are proportional

Step-by-step explanation:

If two figures are similar, the lengths of their sides are proportional. This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.

Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:

5/3 = 25/15

Cross multiply:

5(15) = 3(25)

75 = 75

We got a true statement, so the sides are proportional.

8 0

3 years ago

Read 2 more answers

Help plz anyone who’s good with slope?

ss7ja [257]

Answer:

-3

Step-by-step explanation:

you go down from the dot left most and you count towards the line that the second dot falls on and count over too it

5 0

2 years ago

Read 2 more answers

Consider the equation y= -2x -3.

Alona [7]

Part A

The graph is shown below as an attached image.

The diagram shows a straight line that goes through the two points (0,-3) and (1, -5)

I'm using GeoGebra to graph the line.

side note: (0, -3) is the y intercept which is where the graph crosses the y axis.

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

Part B

Answer is choice 2

The graph can be written in the form y = mx+b, so it is linear

In this case, m = -2 is the slope and b = -3 is the y intercept

We can write the slope as m = -2 = -2/1. This tells us that we can move down 2 units and then over to the right 1 units to get from point to point. This process of "down 2, over to the right 1" happens when moving from point A to point B in the diagram below.

7 0

3 years ago

How to show these 2 problems are inverses

nataly862011 [7]

$\bf \begin{cases}
f(x)=\sqrt[3]{7x-2}\\\\
g(x)=\cfrac{x^3+2}{7}
\end{cases}\\\\
-----------------------------\\\\
now
\\\\
f[\ g(x)\ ]\implies f\left[ \frac{x^3+2}{7} \right]\implies \sqrt[3]{7\left[ \frac{x^3+2}{7} \right]-2}\implies \sqrt[3]{x^3+2-2}
\\\\\\
\sqrt[3]{x^3}\implies x\\\\
-----------------------------\\\\
or
\\\\
g[\ f(x)\ ]\implies g\left[\sqrt[3]{7x-2}\right]\implies \cfrac{\left[\sqrt[3]{7x-2}\right]^3+2}{7}
\\\\\\
\cfrac{7x-2+2}{7}\implies \cfrac{7x}{7}\implies x$

thus f[ g(x) ] = x indeed, or g[ f(x) ] =x, thus they're indeed inverse of each other

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3 years ago

A recipe has 3 tablespoons of cinnamon and 4 tablespoons of vanilla how many tablespoons of cinnamon and I needed per tablespoon

Gre4nikov [31]

I don't understand the English. I would've loved to help though.

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3 years ago