Answer:
https://www.tiger-algebra.com/drill/4(2%e2%80%93x)%3E%e2%80%932x%e2%80%933(4x_1)/
Step-by-step explanation:
Answer:
d = 
≈ 5.1 ( to 1 dec. place )
Step-by-step explanation:
to calculate the distance d use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (
, 3) and (x₂, y₂ ) = (
, 8)
d =√ ( - )² - (8 - 3)²
=
= ≈ 5.1
Answer:
Step-by-step explanation:
16 students study spanish, but 6 student that study spanish are also in the band.
16-6=10
So there are 10 students who only study spanish.
Answer:
16 ft
Step-by-step explanation:
Based on the situation above, it forms into a right triangle. Therefore we can apply the Pythagorean Theorem. We will use the formula below:
c = √( a² + b²)
In the problem above, the ladder acts as the hypotenuse denoted by c. It has a length of 20 ft. While the base denoted by b is 12 ft. Therefore, we need to solve for a. We will derive the formula above.
c² = a² + b²
a² = c² - b²
a = √( c² - b² )
a = √( 20² - 12² )
a = 16
The unit is in ft.
Correct me if I'm wrong. I hope it helps.
Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
