All categories

3 years ago

Graph the function and identify the domain and range. y=-3x2

Mathematics

1 answer:

RoseWind [281]3 years ago

4 0

range is what crosses the y-axis

domain is what crosses the x-axis

You might be interested in

Answer these questions. 45% of 40 is 18% of what number?

Furkat [3]

Answer:

45% of 40 is 18% of 100

Step-by-step explanation:

Let 45% of 40 = 18% of x .

Taking LHS (Left Hand Side):

45% of 40

$\Rightarrow \dfrac{45}{100} \times 40\\\Rightarrow \dfrac{1800}{100}\\\Rightarrow 18 ...... (1)$

Taking RHS(Right Hand Side):

18% of x

$\Rightarrow \dfrac{18}{100} \times x\\\Rightarrow 0.18 \times x ...... (2)$

Equating (1) and (2):

$18 = 0.18 \times x\\\Rightarrow x= \dfrac{1800}{18}\\\Rightarrow x = 100$

Hence, 45% of 40 is 18% of 100.

8 0

3 years ago

Find all values of $x$ such that $\sqrt{4x^2} - \sqrt{x^2} = 6$.

artcher [175]

For this case we must solve the following equation:

$\sqrt {4x ^ 2} - \sqrt {x ^ 2} = 6$

To solve we follow the steps below:

We square both sides of the equation squared:

$(\sqrt {4x ^ 2} - \sqrt {x ^ 2}) ^ 2 = 6 ^ 2\\(\sqrt {4x ^ 2}) ^ 2-2 (\sqrt {4x ^ 2}) (\sqrt {x ^ 2}) + (\sqrt {x ^ 2}) ^ 2 = 36\\4x ^ 2-2 (\sqrt {4x ^ 2 * x ^ 2}) + x ^ 2 = 36\\4x ^ 2-2 (\sqrt {4x ^ 4}) + x ^ 2 = 36\\4x ^ 2-2 (2x ^ 2) + x ^ 2 = 36\\4x ^ 2-4x ^ 2 + x ^ 2 = 36\\x ^ 2 = 36\\x = \pm \sqrt {36}\\x = \pm6$

We choose the positive value because we talk about $. $x = 6$

Answer:

8 0

3 years ago

Let f(x) = 7x - 13. Find f-1(x).

nika2105 [10]

$f(x)=7x-13 \\ \\ y=7x-13 \ \ \ |+13 \\
y+13=7x \ \ \ |\div 7 \\
x=\frac{1}{7}y+\frac{13}{7} \\ \\
\boxed{f^{-1}(x)=\frac{1}{7}x+\frac{13}{7}}$

4 0

4 years ago

Factor using grouping: x³+ 3x² + 5x = 15

Brums [2.3K]

X= 1.288 or just 1.29 is the correct answer. When you factor, set each factor equal to zero.
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.

4 0

3 years ago

Find the factors of 42 show and explain your work and list the factor pairs in a table

ira [324]

Factors of 42 are...
1, 2, 3, 6, 7, 14, 21, and 42.
1 x 42 = 42
2 x 21 = 42
3 x 14 = 42
6 x 7 = 42

Don't know how you want your table.
I'm sure you can do it yourself.

7 0

3 years ago

Read 2 more answers

Graph the function and identify the domain and range. y=-3x2​

Graph the function and identify the domain and range. y=-3x2