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3 years ago

please help :D is this inequality true or false for the given value 3x + 4x + 2 < 21 if x = 5

Mathematics

1 answer:

julsineya [31]3 years ago

5 0

It is false. If you plug in the values, it results in 37<21 which is false

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The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 whe

mr Goodwill [35]

6 sec can take penny to strike the ground.

Solution:

Given data:

$H_0=288$ feet

$V_0=48$ feet

$h(t)=288+48t-16t^2$

Re-arrange the terms from greatest degree to smallest degree.

$h(t)=-16t^2+48t+288$

We can solve it by applying quadratic formula,

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here a = –16, b = 48, c = 288

$$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}$

$$t=\frac{-48\pm \sqrt{2304+18432}}{-32}$

$$t=\frac{-48\pm \sqrt{20736}}{-32}$

$$t=\frac{-48\pm144}{-32}$

Now, write find two t's using plus and minus operation.

$$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}$

$$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}$

t = –3 (or) t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

8 0

2 years ago

Exponetial funtion is

r-ruslan [8.4K]

An exponential function in mathematics is an exponential function is a function of the form where b is a positive real number, and in which the argument x occurs as an exponent. So its a function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

4 0

3 years ago

Can someone help me learn to do ratios. I'm in 6th grade and I was absent during the lesson. I'm afraid ill fail if I don't lear

marin [14]

Answer: 24: 80

Step-by-step explanation: 6 can go into 24 4 times. So if we do the same for 20 it will be 20 times 4. Hence, answer is 24:80

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3 years ago

Read 2 more answers

Evaluate the expression for<br> X= 5, y = 1:<br> X + 15<br> y + 1

lapo4ka [179]

Answer:

Step-by-step explanation:

lets substitute the value of x and y in the equations:

5 + 15 =20

1 + 1 =2

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2 years ago

If you have 1/2 cup measuring cup and a recipe calls for 4/ 1/2 cups of flour , how many 1/2 cups would you need to use

tatuchka [14]

Answer:

You would need 9

Step-by-step explanation:

Multiply 1/2 by 4 1/2 and you get 8 and 1/2 as remander put that into it and you get 9

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2 years ago