Answer:
We have that:
And we want to find the value of g(4)
Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.
If we do that, we get:
Now we can just solve this to get:
A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre
ct answer: ____miles
2 answers:
Answer:
15 miles
Step-by-step explanation:
Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).
Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance =
Thus, the answer is 15 miles.
Hope this helps!
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Answer:
that is 6 and 5/ 12 cups of flour are required
Step-by-step explanation:
total number of cups required to make a loaf of bread
= 3 + ¾
making their denominators equal and that to 4
= 12/ 4 + 3/ 4
adding numerators
= (12 + 3)/ 4
= 15/ 4
total cups of flour required to make pretzels
= 2 + ⅔
making their denominators equal and that to 3
= 6/ 3 + 2/ 3
adding nunerators
= (6 + 2)/ 3
= 8/ 3
Total cups required:-
= 15/ 4 + 8/ 3
taking lcm of denominators to make the fractions equivalent
= {(15 × 3) + (8 × 4)}/ 12
= {45 + 32}/ 12
= 77/ 12
<em>that is 6 and 5/ 12 cups of flour are required</em>.
To solve this, set up the equation, 90% of x being .9*x=57. Then, solve for x, x=57/.9=
=6.333