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zhenek [66]
3 years ago
14

How many pairs of whole numbers can you find that have a sum of 12

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

I can find six pairs.

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What is the unit rate for 692.08 ft in 21.1 s? Round to the nearest tenth if necessary. Enter your answer in the box.
Xelga [282]
By unit rate they mean feet per second

To do this you need to divide feet by seconds
692.08/21.1=32.8

The unit rate is:
32.8 feet per second
7 0
3 years ago
Read 2 more answers
Find (fog)(x) when f(x)=x^2-7x+12 and g(x)=3/x^2-16
Kazeer [188]

Answer:

f( \frac{3}{ {x}^{2} - 16 } ) =  ({\frac{3}{ {x}^{2} - 16 }})^{2}  - 7(\frac{3}{ {x}^{2} - 16 }) + 12 \\  =  \frac{9}{ {x}^{4} - 32 {x}^{2}  + 256 }  -  \frac{21}{ {x}^{2}  - 16}  + 12

4 0
2 years ago
Which of the following functions best represents the graph?
marshall27 [118]

Answer:

f(x)=x^3+x^2-4x-4

Step-by-step explanation:

From the graph, the x-intercepts are;

x=-2

x=-1

x=2

These are root of the polynomial function represented by the given graph.

By the remainder theorem;

f(-2)=0,f(-1)=0,f(2)=0

According to the factor theorem, if (x-a) is a factor of f(x), then f(a)=0

This implies that;

(x+2),(x+1),(x-2) are factors of the required function.

Hence; f(x)=(x+1)(x-2)(x+2)

We expand using difference of two squares to obtain;

f(x)=(x+1)(x^2-4)

We expand using the distributive property to get;

f(x)=x^3-4x+x^2-4

Rewrite in standard form to obtain;

f(x)=x^3+x^2-4x-4

6 0
3 years ago
Read 2 more answers
Can anyone help me? My teacher just recently taught me this today, be he never explained much. The question is in the photo
IceJOKER [234]

You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing:  Taking two points and finding the slope of the line that goes through them.

In every case, the procedure is the same.
If the two points are  (x₁ , y₁)  and  (x₂ , y₂) , then
the slope of the line that goes through them is

                          Slope  =  (y₂ - y₁) / (x₂ - x₁) .

This is important, and you should memorize it.

#1).  (8, 10)  and  (-7, 14)

         Slope  =  (14 - 10) / (-7 - 8)  =  4 / -15

#2).  (-3, 1)  and  (-17, 2)

         Slope  =  (2 - 1) / (-17 -  -3)  =  (2 - 1) / (-17 + 3)  =  1 / -14

#3).  (-20, -4)  and  (-12, -10)

         Slope  =  [ -10 - (-4) ] / [ -12 - (-20) ]

=========================================

The word problem:

This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?

A "proportional relationship" always passes through the origin,
so another point on the line is  (0, 0) .

Now you have two points on THAT line too, and you can easily
find its slope.

4 0
3 years ago
What is -14+5k-3= simplifying​
andrew11 [14]

Answer:

5k-17

Step-by-step explanation:

-14+5k-3=5k-14-3=5k-17

8 0
3 years ago
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