Answer:
Equation E, Equation B, Equation C are equivalent
Step-by-step explanation:
Given Equation:
0.6 + 15b + 4 = 25.6
Check all that applies
Equation A: 15b + 4 = 25.6
0.6 + 15b + 4 = 25.6
15b + 4 = 25.6 - 0.6
15b + 4 = 25
NOT CORRECT
Equation B: 15b + 4 = 25
0.6 + 15b + 4 = 25.6
15b + 4 = 25.6 - 0.6
15b + 4 = 25
CORRECT
Equation C: 3(0.6 + 15b + 4) = 76.8
0.6 + 15b + 4 = 25.6
Multiplying both sides by 3
(0.6 + 15b + 4) ×3 = 25.6 × 3
(0.6 + 15b + 4) ×3 = 76.8
CORRECT
Equation D: 15b = 25.6
0.6 + 15b + 4 = 25.6
NOT CORRECT
Equation E: 15b = 21
0.6 + 15b + 4 = 25.6
15b = 25.6 - 0.6 - 4
15b = 21
CORRECT
Equation E, Equation B, Equation C are equivalent
Answer:
$540
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 3000(.045)(4)
I = 540
Answer:
11 weeks
Step-by-step explanation:
5÷1/2=10
10+1=11
Sorry if I'm wrong
When we are given a system of 3 linear equations, with 3 variables, we proceed as follows:
We consider 2 pairs or equations, for example (1, 2) and (2, 3), and eliminate one of the variables in each pair, creating a system of 2 linear equations with 2 unknowns.
Note that the third equation contains -2y which can be used to eliminate easily -6y in the second equation, and -4y in the fourth.
i) consider equations 1 and 3:
-3x-4y-3z=-7
5x-2y+5z=9
multiply the second equation by -2:
-3x-4y-3z=-7
-10x+4y-10z=-18
adding the 2 equations we have -13x-13z=-25
ii) consider equations 2 and 3. Multiply the third equation by -3:
2x-6y+2z=3
-15x+6y-15z=-27
adding the 2 equations we have -13x-13z=-24
So we got -13x-13z is -25, but also -24. this means the system is inconsistent, so it has no solution.
Answer: the system has no solutions
It takes 2 seconds to reach a maximum height of 69 feet, and the range is [5, 69].
The equation is of the form
h(t) = -16t² + v₀t + h₀, where -16 is the gravitational constant, v₀ is the initial velocity, and h₀ is the initial height. Using the values from our problem, we have:
h(t) = -16t² + 64t + 5
To find the maximum height, we find the vertex. The first step in this is to find the axis of symmetry, which is given by -b/2a:
-64/2(-16) = -64/-32 = 2
This is our value for t, so it takes 2 seconds to reach the maximum. Substituting this into our function, we have
h(2) = -16(2²) + 64(2) + 5 = -64 + 128 + 5 = 64 + 5 = 69
This is the maximum height.
The range of heights goes from 5 to 69, inclusive, or [5, 69].