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2 years ago

Given the equation y = 3x − 4, what is the value of y when x = 4?

Mathematics

1 answer:

Marat540 [252]2 years ago

5 0

Answer:

C) 8

Step-by-step explanation:

y=3*4-4

y=12-4

y=8

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3 years ago

Two numbers total 32 and have a difference of 10 what are the two numbers

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Answer:

21 & 11

Step-by-step explanation:

Let x = first number and y = second number. We need to find the values of x and y, so we need to set up a system of linear equations. The first equation would be x + y = 32 because x and y add up to 32. Then the second equation would be x - y = 10 to represent that the two numbers have a difference of 10. Solving by elimination, we add and get 2x = 42, so x = 21. Then substitute 21 for x in either one of the equations to get y = 11.

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1 year ago

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2 years ago

2. Ariana has created a paper airplane for her physics class at school where all the students will be testing their planes by se

sergiy2304 [10]

Answer:

2. The airplane will crash into the ground after 5 seconds.

3. The domain of the function is [0,30] and range of the function is $[-\infty,900]$ .

Step-by-step explanation:

Ariana initial attempt is modeled by the function,

$h(x)=x^2-12x+35$

where, h is the height in feet and x is the time in seconds of the paper airplanes path.

If airplane crash into the ground, then $h(x)=0$ ,

$0=x^2-12x+35$

$0=x^2-7x-5x+35$

$0=x(x-7)-5(x-7)$

$0=(x-7)(x-5)$

Equate each factor equal to 0.

$x=5,7$

Therefore the airplane will crash into the ground after 5 seconds.

The height of the rocket in meters is modeled by the function shown below, where t is time in seconds.

$h(t)=-4t^2+120t$

The value of t must be positive because time can not be negative.

Find the zeros of the function.

$0=-4t(t-30)$

$t=0,30$

The leading coefficient is negative, so the it is a downward parabola. Since the zeros of the function are 0 and 30, therefore the function is negative before 0 and after 30.

The height can not be negative, so the domain of the function is

$0\leq t\leq 30$