Answer:
15r
Step-by-step explanation:
Answer: The answer is D
Step-by-step explanation: I just did the question.
Answer:
A.) 12 3/4 cups
B.) 117 1/3
Step-by-step explanation:
<u>Part A</u>
If one serving of ice tea contains 3/4 cup of water, how much does 7 serving have?
To answer this, you must multiply 3/4 and 17
17 is the same as 17/1, so multiply the numerators and denominators
17 x 3 = 51
1 x 4 = 4
51/4 = 12 3/4
So, Leon used 51/4 or 12 3/4 cups of water
<u>Part B</u>
If the cooler has 88 servings of tea, how many cups of water does it have?
To solve this, divide 88 by 3/4
Dividing 88 by 3/4 is the same as multiplying 88 by 4/3.
Again, 88 is the same as 88/1 so multiply the numerators and the denominators.
88 x 4 = 352
1 x 3 = 3
352/3 = 117 1/3
So, there are 352/3 or 117 1/3 cups of water in the cooler
I hope this helps!
Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k
parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t
Step-by-step explanation: The vector equation is a line of the form:
r =
+ t.v
where
is the position vector;
v is the vector;
For point (7,4,5):
= 7i + 4j + 5k
Then, the equation is:
r = 7i + 4j + 5k + t(3i + 2j - k)
<u><em>r = (7 + 3t)</em></u><u><em>i</em></u><u><em> + (4 + 2t)</em></u><u><em>j </em></u><u><em>+ (5 - 5t)</em></u><u><em>k</em></u>
The parametric equations of the line are of the form:
x =
+ at
y =
+ bt
z =
+ ct
So, the parametric equations are:
<em><u>x = 7 + 3t</u></em>
<em><u>y = 4 + 2t</u></em>
<em><u>z = 5 - 5t</u></em>
Add numbers with the same amount of variables
-x^2 + (-7x^2) = -8x^2
– 28x (+ 14x )= -14x
7 (+ 8) = 15
-18x² - 14x + 15 is your answer
hope this helps