Answer:
11
Step-by-step explanation:
(2×3)^2 = 6^2 = 36
5^2 = 25
(2×3)^2 - 5^2 = 36 - 25 = 11
The linear function that describes Juan's elevation during his descent is:
B. y = -1460x + 7500.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:
y = -1460x + b.
The y-intercept is found considering that when x = 1, y = 6040, hence:
b = 6040 + 1460 = 7500.
Which means that option B is correct.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
Step-by-step explanation:
5) x + 5.4 < -1.6
x < -1.6 - 5.4
x < -7
6) x + 7.5 > -2.5
x > -2.5 - 7.5
x > -10
7) 3 ≤ 1/3 + x
x ≥ 3 - 1/3
x ≥ 5/3
Answer:
32/5
Step-by-step explanation:
K=Keep the first Fraction (You can rewrite 8 as 8/1 for when you multiply across.)
C=Change the Division Sign to a Multiplication Sign
F=Flip the Second Fraction
First, rewrite 1 1/4 as 5/4 (A mixed number can be changed to a fraction by multiplying the outside whole number by the denominator or bottom number of the fraction, then add the new rewritten whole number and the original fractional piece. In this case you would multiply the outside 1 by the bottom 4 and add it to the original 1/4. 4/4+1/4=5/4)
Second, Flip 5/4 to 4/5 and change your equation so it now reads: 8/1 x 4/5
Third, use simple fraction multiplication and multiply across to get 8/1 x 4/5=32/5
Since all the sides add up to 10x+2, that means that 10x-2-<side1>-<side2>=<side3>. Plugging it in, we have 10x-2-5x-(2x+9)=side3, and 5x-2-(2x+9)=side3, then expanding it to 5x-2-2x-9=3x-11=side3
