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3 years ago

Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1

Mathematics

1 answer:

Brut [27]3 years ago

6 0

Answer:

The vertex would be 1

Step-by-step explanation:

Desmos makes a horizontal line and that line is on the y axis at 1

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Which formula shows a joint variation?

djyliett [7]

The answer is the first option: I, II and III.

The explanation is shown below:

1. By definition, there is a joint variation when a variable depends on two or more different variables. Therefore, you can express it as following:

$y=kxz$

Where $x,y$ and $z$ are the variables and $k$ is the constant of proportionality.

As you can see, $y$ is directly proportional to $x$ and $z$ .

2. Keeping the information above, you have:

I) $V=lwh$ ( $V$ varies jointly with $l$ , $w$ and $h$ .

II) $V=\frac{1}{3}r^{2}h\pi$ (If $\frac{\pi}{3}$ is the constant of proportionality, $V$ varies jointly with $r^{2}$ and $h$ ).

III) $V=Bh$ ( $V$ varies jointly with $B$ and $h$ .

8 0

4 years ago

Read 2 more answers

Y = 2x + 3 2y = 4x + 6 The system of equations has _____ solution(s).

Len [333]

Dividing the 2nd equation by 2 gives y=2x + 3 which is the same as the too
p line. any answer to one of them is obviously an answer to the other so there are infinitely many solutions

6 0

3 years ago

What is the volume of this equation?

Pachacha [2.7K]

Answer:

Volume ≈ 33.33 cubic feet

Step-by-step explanation:

The question is:

Find the volume of a right square pyramid with base square edges measuring 5 feet each and a height of the pyramid be 4 feet.

So, the base is a square with side length 5 feet.

And the height of the pyramid is 4 feet.

The volume of a pyramid is given by the formula:

$V=\frac{a^2 h}{3}$

Where

a is the square base side length (given as 5)

h is the height of the pyramid (given as 4)

Now we substitute and find the value:

$V=\frac{a^2 h}{3}\\V=\frac{(5)^2 (4)}{3}\\V=33.33$

The volume is around 33.33 cubic feet

5 0

3 years ago

PLEASE HELP!!! WILL REWARD!!

BabaBlast [244]

X+y+z=t
simple..
there are no other numbers that we have to follow like (1/2x or 3/4y) so it is just all together=t. the x, y, z will equal t because t is the total number of students taking three languages. And that number should be equivalent to x,y,z combined.

otherwise?? i d k

3 0

3 years ago

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A cow can drink up to 35 gallons of water in a day how many quarts of water can A cow drink in a day

Varvara68 [4.7K]

There are 4 quarts in a gallon so, therefore you would times 35 by 4 and get 140 quarts and 140 quarts is your answer

3 0

3 years ago

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