Answer:
(f - g)(x) = -8x²
(f - g)(2) = -32
General Formulas and Concepts:
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -10x² - x
g(x0 = -2x² - x
(f - g)(x) is f(x) - g(x)
(f - g)(2) is f(2) - g(2)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = -10x² - x - (-2x² - x)
- Distribute -1: (f - g)(x) = -10x² - x + 2x² + x
- Combine like terms: (f - g)(x) = -8x²
<u>Step 3: Evaluate</u>
- Substitute: (f - g)(2) = -8(-2)²
- Evaluate: (f - g)(2) = -8(4)
- Multiply: (f - g)(2) = -32
And we have our answers!
The wording of this problem indicates that there was an illustration. Could you possibly share that illustration?
Working without an illustration:
If tan theta = 3, then tan theta = opp/adj = 3/1. This tells us that the opp side is 3 times as long as is the adj. side. Let x be the shorter side, i. e., let x represent the adjacent side; then y is the longer side and represents the opposite side.
Then y = 3x (the opp side is 3x the adj side in length).
Applying the Pyth. Thm. a^2 + b^2 = c^2,
x^2 + (3x)^2 = hyp^2 = (25 cm.)^2
So x^2 + 9x^2 = (625 cm^2)
10x^2 = 625 cm^2, or x^2 = (625 cm^2) / 10 = 62.5 cm^2
x = 7.91 cm. Therefore, y = 3(7.91) = 23.72 cm.
We were supposed to round off these answers to the nearest 10th cm.
Therefore, x = 7.9 cm and y = 23.7 cm
Would that be A, B, C or D?
The value 257.3 denotes the range of the middle 50% of all observations in the distribution.
Q1 = 271.8 ; Q2 = 387.9 ; Q3 = 529.1
The Interquartile range is the difference between the the upper quartile and Lower quartile ;
- IQR = 529.1 - 271.8 = 257.3
The value of Q3 depict the 75th percentile of the data
The value of Q1 depicts the 25th percentile of the data
The difference between (Q3 and Q1) ; is the (75th - 25th) = middle 50th percentile of the distribution.
Since the difference between the maximum and minimum value is the range, then 257.3 is the range of the middle 50% of all observations in the distribution.
Learn more :brainly.com/question/24582786
Answer:
It would take Brennan 4 track practice runs.
Step-by-step explanation:
He has already run 16 miles and needs to run 28 in total. If we are counting the 16 in the 28 miles, he would need to run only 12 more to reach his goal. And if he runs 3 miles a run, it would take him about 4 runs to finish his 28-mile goal.
(28-16=12 and 12/3=4)
Answer:
27.5 /100 are running for a cause
Step-by-step explanation:
We know that 220/800 are running for a cause
Divide the top and bottom by 8 to get the fraction out of 100
220 /8 =27.5
800/8 = 100
27.5 /100 are running for a cause
