Answer:
g(x) = f(x+1) + 1
Step-by-step explanation:
Since the graph is only moved you don't have to worry about the slope.
To move the graph to the left you add to the x and in this case, it only moved 1 over.
to move the graph up you add to the whole function and in this case, it only moved up 1.
I am thinking of a rectangle that has the two sides parallel to one another. Set the two functions equal to one another, so
9x-14=7x+4
After a bunch of algebra and math magic, 2x=18 => x=9
So if you just insert 9 into both equations, both will end up with a value of 67, so it ends up looking like a right triangle. Don't do that. Instead, to find the rectangle widths, use 9x-4 (+10 added to intercept) instead, while keeping 7x+4, so that the intercepts match.
LN) 9x-4 = 9(9)-4 = 81-4 = 77
MP) 7(9)+4 = 63+4 = 67
*If you are also looking for the diagonals, use Pythagorean Theorem 77^2+67^2=(hypotenuse)^2*
8.75 x 37.5= ? Well all you do is have to line up the decimals and work it out! :) it's simple
Answer:
Sticks of butter : 2
Number of cookies : 40
Step-by-step explanation:
<em>Given that :You need 3 sticks of butter for every 24 giant cookies you bake.</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Sticks of butter Number of cookies</em>
<em> 3 24</em>
<em> x 16</em>
<em>5 y</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Let the unknown be x and y..</em>
<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>
<em>Then 24/3 = 8</em>
<em>Since the number of cookies is 16 then 16/8 = 2</em>
<em>Thus x = 2</em>
<em>Next for y.</em>
<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>
<em>Then 5 * 8 = 40</em>
<em>Thus, y = 40</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<em>Completed table below:</em>
<em>Sticks of butter Number of cookies</em>
<em> 3 24</em>
2 <em> 16</em>
<em>5 </em><em>40</em>
<em>----------------------------------------------------------------------------------------------------------</em>
<u><em>~lenvy~</em></u>
<em />
Answer:
In 1942 , the U.S. Mint produced 154,500,000 nickels. The scientific notation of 154,500,000 is obtained as 
.
Step-by-step explanation:
- In the problem, it is given that in 1942, the U.S. Mint produced 154,500,000 nickels.
- It is required to write 154,500,000 in scientific notation.
- To solve this first, move the decimal point so that the first factor is greater than or equal to 1 also it should be less than 10.
- Count the number of decimal places n, and write the number as a product with a power of 10. Then check the answer.
Step 1 of 2
Obtain the scientific notation.
Here the original number, 154,500,000 is greater than 1 so we will have a positive power of 10 .
Move the decimal point to get 1.545, a number between 1 and 10 . Then we get,
1.54500000
The count of the number of decimal places the point was moved is 8 .
Write as a product with a positive power of 10 .
Step 2 of 2
Check the answer.
Rewrite and simplify to check our answer.
