we know that
The intersection point of both graphs is a common point for both functions, for which for the same input value, both functions will have the same output value.
so
the point of intersection is 
for an input value equal to 
the output value for both functions is 
therefore
<u>the answer is the option</u>
X= 4
Answer:
16 and -16
Step-by-step explanation:
Answer:
- <em>Between which two tens does it fall?</em><em> </em><u>Between 25 and 26 tens</u>
<em><u /></em>
- <em>Between which two hundreds does it fall?</em> <u>Between 2 and 3 hundreds</u>
Explanation:
The place-value chart is:
Hundreds Tens Ones
2 5 3
<em><u /></em>
<em><u>a) Between which two tens does it fall? </u></em>
Using the place values you can write 253 = 25 × 10 + 3, i.e. 25 tens and 3 ones.
From that you can write:
Then, you conclude that 253 is between 25 and 26 tens.
<u><em>b) Between which two hundreds does it fall?</em></u>
Using the same reasoning:
- 253 = 2 × 100 + 5 × 10 + 3 = 253
Conclusion: 253 is between 2 hundreds and 3 hundreds.
Toothpaste and food coloring
Answer:
<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3><h3 />
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length of the rectangle
w is the width
From the question
length of a rectangular picture is 5 inches more than three times the width is written as
l = 5 + 3w
Now substitute this into the above equation
Perimeter = 74 inches
74 = 2(5 + 3w) + 2w
74 = 10 + 6w + 2w
8w = 74 - 10
8w = 64
Divide both sides by 8
w = 8 inches
Substitute w = 8 into l = 5 + 3w
That's
l = 5 + 3(8)
l = 5 + 24
l = 29 inches
<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3>
Hope this helps you
