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3 years ago

If f(x) = 3x^2 + 2x, then find the value of y when x = -1.

Mathematics

1 answer:

loris [4]3 years ago

7 0

Answer:

Step-by-step explanation:

-1 to the power of 2 is 1

1 times 3 is 3

2 times -1 is -2

3+(-2)=1

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In a certain Algebra 2 class of 20 students, 12 of them play basketball and 13 of them play baseball. There are 3 students who p

boyakko [2]

Answer:

85%

Step-by-step explanation:

1. Divide 100 by the maximum amount of students to get the percent value for every student (5% per student)

2. Subtract the number of students you know plays neither sport, leaving you with 17 students.

3. Multiply the remaining students by the percent percent value. 17 * 5 = 85%

(This takes into account that some students are playing both sports.)

6 0

3 years ago

Can you help me please

Ugo [173]

Answer:

√6x²×√18x²

x²√(6×18)=x²√108=2×3x²√3=6x²√3

4 0

3 years ago

3x^2-3x ----------- -3 x^2-9x please give me the simplified answer + explanation

STatiana [176]

You want us to simplify $\frac{3x^2-3x}{x^2-9x}-3$

first, factor top and bottom
$3x^2-3x=3x(x-1)$
$x^2-9x=x(x-9)$

so we have
$\frac{3x(x-1)}{x(x-9)}-3=$
$\frac{3(x-1)}{x-9}-3$
we want to combine fractions so multiply 3 by $\frac{x-9}{x-9}$
$\frac{3(x-1)}{x-9}-\frac{3(x-9)}{x-9}=$
$\frac{3(x-1)-3(x-9)}{x-9}=$
$\frac{3x-3-3x+27}{x-9}=$
$\frac{24}{x-9}$

the simplified answer is $\frac{24}{x-9}$

8 0

4 years ago

What is the answer to: 5+7*3/5+8

diamong [38]

Answer:

86/5 or 17.2

Step-by-step explanation:

5 + 21/5 + 8

46/5 + 8

86/5 or 17.2

3 0

3 years ago

Read 2 more answers

Need help asap please!

RUDIKE [14]

Answer:

$\textsf{$f(1) = \boxed{1}$ , meaning when a $\boxed{1}$ is rolled on the die, the player is awarded}\\\\ \textsf{ $\boxed{1}$ point. This interpretation $\boxed{\sf makes \; sense}$ in the context of the problem.}$

$\textsf{$f(4.5) = \boxed{8}$ , meaning when a $\boxed{4.5}$ is rolled on the die, the player is awarded} \\\\ \textsf{ $\boxed{8}$ points. This interpretation $\boxed{\sf does \; not \; make \; sense}$ in the context of the problem.}$

$\textsf{$f(10) = \boxed{19}$ , meaning when a $\boxed{10}$ is rolled on the die, the player is awarded} \\\\ \textsf{ $\boxed{19}$ points. This interpretation $\boxed{\sf does \; not \; make \; sense}$ in the context of the problem.}$

$\textsf{Based on the observations above, it is clear that an appropriate domain for the}\\\\ \textsf{function is $\boxed{ \{1, 2, 3, 4, 5, 6\}}$ .}$

Step-by-step explanation:

Given function:

$f(x)=2x-1$

where:

x is the value rolled on the six-sided die.
The sides of the die are labelled 1 to 6.

----------------------------------------------------------------------------------------------------

f(1) means the value of the function when x = 1.

Therefore, substitute x = 1 into the given function to find f(1):

$\begin{aligned}x=1 \implies f(1)&=2(1)-1\\&=2-1\\&=1\end{aligned}$

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f(4.5) means the value of the function when x = 4.5.

Therefore, substitute x = 4.5 into the given function to find f(4.5):

$\begin{aligned}x=4.5 \implies f(4.5)&=2(4.5)-1\\&=9-1\\&=8\end{aligned}$

As the faces of the six-sided die are labelled 1 to 6, the only values of x that make sense are 1, 2, 3, 4, 5 and 6. Therefore, rolling a "4.5" does not make sense.

----------------------------------------------------------------------------------------------------

f(10) means the value of the function when x = 10.

Therefore, substitute x = 10 into the given function to find f(10):

$\begin{aligned}x=10 \implies f(1)&=2(10)-1\\&=20-1\\&=19\end{aligned}$

As the faces of the six-sided die are labelled 1 to 6, the only values of x that make sense are 1, 2, 3, 4, 5 and 6. Therefore, rolling a "10" does not make sense.

----------------------------------------------------------------------------------------------------

The domain of a function is the set of all possible x-values.

As the faces of the six-sided die are labelled 1 to 6, the only possible values of x are 1, 2, 3, 4, 5 and 6.

$\textsf{Based on the observations above, it is clear that an appropriate domain for the}\\\\ \textsf{function is $\boxed{ \{1, 2, 3, 4, 5, 6\}}$ .}$

The domain can also be written as:

$\{x \in \mathbb{N} \; | \; 1 \leq x \leq 6 \}$

or $\{x \in \mathbb{Z} \; | \; 1 \leq x \leq 6 \}$

8 0

1 year ago