All categories

3 years ago

Domain and range of -3x^2+16x+3

Mathematics

1 answer:

Zarrin [17]3 years ago

3 0

Answer:

＜=16

Step-by-step explanation:

You might be interested in

Solve for x -12+4=100

strojnjashka [21]

Answer by JKismyhusbandbae:

$x-12+4=100\\\mathrm{Add/Subtract\:the\:numbers:}\:-12+4=-8\\x-8=100\\\mathrm{Add\:}8\mathrm{\:to\:both\:sides}\\x-8+8=100+8\\\mathrm{Simplify}\\x=108$

3 0

3 years ago

Find the volume of the garden shed

Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

$\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}$

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}$

<h3><u>Volume of the garden shed</u></h3>

$\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}$

6 0

1 year ago

Read 2 more answers

Find n(A) for A={0,1,2,3,...,2000}

miskamm [114]

There are 2001 items in that set.

So n(A) = 2001

We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1

where,
m = starting value
n = ending value

In this case,
m = 0
n = 2000
So,
n-m+1 = 2000-0+1 = 2001

This formula only works if we increase the number by 1 each time (eg: 6, 7, 8, etc)

7 0

3 years ago

8 multiplied by 4 multiplied by 2 whole over 8 multiplied by 7, the whole raised to the power of 2 multiplied by 8 to the power

umka2103 [35]

I think the answer is 8.7332602....I hope I helped!

4 0

3 years ago

Ishaan and his friends have 40$ to spend at a restaurant.

Paul [167]

The number of salads Ishaan and his friends can afford is 6 salads.

<h3>What are Word Problems?</h3>

Word Problems in mathematics involve crucial understanding and the use of variables and arithmetic operations to solve real-life cases.

From the given information;

The total amount with Ishaan and his friends = $40
If they decided to spend the money on salad(x) and one salad(x) cost = $6

Thus, the number of salads they can purchase is:

$\mathbf{x = \dfrac{\$40}{\$6}}$

x = 6 salads remaining $4

Therefore, we can conclude that the number of salads they can purchase with $40 is 6 salads with a remaining amount of $4.

Learn more about word problems here:

brainly.com/question/21405634

3 0

2 years ago