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Vikentia [17]
4 years ago
12

What's the difference between 126 1/4 78 2/3

Mathematics
1 answer:
Stels [109]4 years ago
3 0
Difference means subtract, so we use subtraction:

*first we need to make the fractions have the same denominator

1/4 = 3/12
2/3 = 8/12

126(3/12) - 78(8/12)
*since the fraction in the first term is smaller than the second, make it improper

125(15/12) - 78(8/12)

now simply subtract:

125 - 78 
= 47

15 - 8 
= 7
* this is now (7/12)

now put them back together:

47(7/12) 

That's the final answer!
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Rewrite the function in standard form, intercept form, find the vertex, find the y-intercept, and find the x-intercepts.
jasenka [17]

Answer:

We have the function, f(x)=(x+3)^{2}-4

On simplifying, we get,

f(x)=x^2+6x+9-4

i.e. f(x)=x^2+6x+5

Thus, the standard form of the function is f(x)=x^2+6x+5.

Now, the factors of the given functions are (x+1) and (x+5).

<em>Since, the intercept form of the function is the factored form of the function.</em>

So, we have, intercept form of the function is f(x)=(x+1)(x+5).

Now, we know that,

Value of x-coordinate of the vertex is \frac{-b}{2a} i.e. \frac{-6}{2\times 1} i.e. \frac{-6}{2} i.e. x= -3

Then, f(-3)=(-3)^2+6\times (-3)+5 i.e. f(-3)=9-18+5 i.e. f(-3)=-4

So, the vertex of the function is (-3,-4).

Further, we know that,<em> 'the y-intercept of a function is the point where the function crosses y-axis'.</em>

So, when x=0, we have, f(0)=0^2+6\times 0+5 i.e. f(0) = 5

Thus, the y-intercept is (0,5)

Also, <em>'the x-intercept of a function is the point where the function crossese x-axis'.</em>

Then, for f(x)=0, we have 0=x^2+6x+5 i.e. 0=(x+1)(x+5) i.e. x= -1 and x= -5

Thus, the x-intercept are (-1,0) and (-5,0).

8 0
3 years ago
Olga simplifies the expression x + 7x to 7x2. Use the drop-down menus to complete the statements below to explain why Olga's sol
Tcecarenko [31]

Answer: Olga's solution is incorrect

x + 7x is the same as 1x + 7x

7x2 is the same as 7x. x

x + 7 x simplifies to 8x


Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Mark all the relative minimum points in the graph.<br> See attached!
choli [55]

The relative minimum point in the graph is (-6, 2)

<h3>How to determine the relative minimum?</h3>

To do this, we simply locate a point that at a lower level, when compared to its neighboring points

Using the above highlight, there is only one relative minimum point in the graph

And the point is located at (-6,2)

Hence, the relative minimum point in the graph is (-6, 2)

Read more about relative minimum point at:

brainly.com/question/2135521

#SPJ1

8 0
2 years ago
What is the value of x?
Lunna [17]

5x-11=4x+1\\5x-4x=1+11\\x=12

3 0
2 years ago
I have two bases that are not rectangular I have 6 vertices. I have 9 edges.
liberstina [14]

Answer:

Triangular prism

Step-by-step explanation:

4 0
3 years ago
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