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3 years ago

Which of the following represents the graph of f(x) = 3x2 - 12 ?

Mathematics

1 answer:

xxMikexx [17]3 years ago

8 0

F(x) = 3x² - 12

Finding where the graph crosses the axes will help us to determine the correct graph

When x = 0,
f(0) = 3(0)² - 12
f(0) = -12

So we have one point (0, -12)

When y = 0
0 = 3x² - 12
12 = 3x²
4 = x²
√4 = x
x = ⁺/₋ 2

So the graph crosses the x-axis at -2 and 2 and the y-axis at -12

The correct graph is option A

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Shape of quadrilateral with 4 unequal sides

kolbaska11 [484]

I wanna say......Trapezoid?

6 0

3 years ago

How do you figure out how many days they will once again be at opposition with one another?

MissTica

You will need to find a common multiple of the two. For example:

2: 2, 4, 6
3: 3, 6

The common multple here is 6, so the answer is 6.

Thanks,
Whiiz

3 0

3 years ago

Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withd

zysi [14]

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

b) How much money was in the account after 4 years?

c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(1)]

= 500 [ 1 + 0.04] = 520

⇒Amount = $520

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(4)]

= 500 [ 1 + 0.16] = 580

⇒Amount = $580

In 2nd year,

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(2)]

= 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount is same each year

3 0

3 years ago

List the next four multiples of fraction 7/12

Sidana [21]

<h2>Hello!</h2>

The answer is:

$\frac{14}{12}=\frac{7}{12}*2\\\\\\\frac{21}{12}=\frac{7}{12}*3\\\\\\\\\frac{28}{12}=\frac{7}{12}*4\\\\\\\\\frac{35}{12}=\frac{7}{12}*5$

A multiple of a number is the repeated sum of itself, for example:

Multiple of the number 1 are: 1, 2, 3, 4, 5 and so...

Multiple of the number 3 are: 3, 6, 9, 12, 15 and so...

From the example we have:

Multiple of the number 3 are: Itself, (3+3), (3+3+3), (3+3+3+3), (3+3+3+3+3) and so...

So,

Multiple of $\frac{7}{12}$ are:

$\frac{14}{12}=\frac{7}{12}*2=\frac{7}{12}+\frac{7}{12}\\\\\\\frac{21}{12}=\frac{7}{12}*3=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{28}{12}=\frac{7}{12}*4=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{35}{12}=\frac{7}{12}*5=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}$

Have a nice day!

6 0

3 years ago

How the heck do you do this?!

Dennis_Churaev [7]

Use PEMDAS to figure out the order of operations:

Parentheses
Exponents
Multiplication/Division
Addition/Subtraction

Solve (-4 + -6) first, as this is in parentheses:

$-4 + -6 = -10$

$10 - 5.3 * -10$

Solve 5.3 * -10 next, as this is multiplication:

$5.3 * -10 = -53$

$10 - -53$

Now we can solve the equation:

$10 - -53 = 63$

The answer is 63.

7 0

2 years ago

Read 2 more answers