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guajiro [1.7K]
3 years ago
14

What is 51/4 as a improper fraction

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0
12 3/4


hope i helped!!!
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The function g(x)=(x-2)^2. The function f(x)=g(x)+3. How much is f(x) shifted horizontally and vertically from g(x)?
Vilka [71]
For this case we have the following function transformation:
 Vertical displacement.
 Assume k> 0
 If f (x) is the original function, f (x) + k is the original function with a vertical displacement k units up.
 Answer:
 
Part 1:
 
C. The function is not shifted horizontally from g (x)
 
Part 2:
 
A. 3 units up from g (x)
5 0
3 years ago
Can you always put two triangle together to make a rectangle? Explain why or why not.
anygoal [31]
no, since a rectangle requires 90-degree corners, and every angle inside an equilateral triangle is 60-degrees. The only multiple of 90 that you can make is 180-degrees (or any multiple of it).
6 0
3 years ago
Consider the graph of the quadratic function y = 3x2 – 3x – 6. What are the solutions of the quadratic equation 0 = 3x2 − 3x − 6
son4ous [18]
Y = 3x^2 - 3x - 6 {the x^2 (x squared) makes it a quadratic formula, and I'm assuming this is what you meant...}

This is derived from:
y = ax^2 + bx + c

So, by using the 'sum and product' rule:

a × c = 3 × (-6) = -18

b = -3

Now, we find the 'sum' and the 'product' of these two numbers, where b is the 'sum' and a × c is the 'product':

The two numbers are: -6 and 3

Proof:

-6 × 3 = -18 {product}

-6 + 3 = -3 {sum}

Now, since a > 1, we divide a from the results

-6/a = -6/3 = -2

3/a = 3/3 = 1

We then implement these numbers into our equation:

(x - 2) × (x + 1) = 0 {derived from 3x^2 - 3x - 6 = 0}

To find x, we make x the subject of 0:

x - 2 = 0

OR

x + 1 = 0

Therefore:

x = 2

OR

x = -1

So the x-intercepts of the quadratic formula (or solutions to equation 3x^2 - 3x -6 = 0, to put it into your words) are 2 and -1.


We can check this by substituting the values for x:

Let's start with x = 2:

y = 3(2)^2 - 3(2) - 6
= 3(4) - 6 - 6
= 12 - 6 - 6
= 0 {so when x = 2, y = 0, which is correct}

For when x = -1:

y = 3(-1)^2 - 3(-1) - 6
= 3(1) + 3 - 6
= 3 + 3 - 6
= 0 {so when x = -1, y = 0, which is correct}
7 0
3 years ago
Read 2 more answers
Which description best fits the distribution of the data shown in the histogram?
MrRa [10]

We know that, if in a distribution one tail is longer than the other, the distribution is skewed.

Here in the given histogram, it has a long right tail which is in the positive direction on the x axis. So it is right skewed distribution. That is also known as positive skewed distribution.

So here we have got the required answer. Option C is correct.

4 0
3 years ago
Read 2 more answers
Elyse uses 42 gallons of water in a 10-minute shower. Write and solve a prediction problem that uses this information
kvv77 [185]

Let

x-----> the time in minutes

y------> the number of gallons of water

we know that

the unit rates is equal to

\frac{y}{x} = \frac{42}{10}=4.2\frac{gal}{min}

the unit rate is equal to the slope of the linear equation

then

y=4.2x

<u>Problem</u>

1) How many gallons of water will Elyse use in three minutes in the shower?

For x=3 minutes

substitute in the equation above

y=4.2x

y=4.2*3

y=12.6 gal

<u>the answer is</u>

12.6 gal

7 0
3 years ago
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