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3 years ago

-2(3x+4)<-4+8 solve the inequality

Mathematics

2 answers:

Shtirlitz [24]3 years ago

8 0

Answer:

Inequality: x > -2

Interval Notation: ( -2, ∞)

Step-by-step explanation:

mario62 [17]3 years ago

8 0

Answer:

x > -2

Step-by-step explanation:

-2(3x+4) < -4+8 (evaluate right side)

-2(3x+4) < 4 (expand the parentheses on the left side using distributive property)

3x(-2) + 4(-2) < 4

-6x - 8 < 4 (add 8 to both sides)

-6x < 4 + 8

-6x < 12 (divide both sides by 6)

-x < (12/6)

-x < 2 (multiply both sides by -1; remember to flip the sign when multiplying both sides by a negative number)

x > -2

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A ball is thrown into the air and its position is given by h ( t ) = − 6.3 t 2 + 53 t + 24 where h is the height of the ball in

nordsb [41]

Answer:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

Step-by-step explanation:

For this case we have the following function:

$h(t) = -6.3t^2 +53 t+24$

In order to maximize this function we need to take the first derivate respect the time and we have:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

8 0

3 years ago

What is the equation for 5x=25?

shepuryov [24]

X= 5
multipules of 5
thinking of the factors of 5

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3 years ago

HELP SOON!!!! Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the bo

marin [14]

Answer:

Your answer is -3

Step-by-step explanation:

I had this on a test and i got it

plz mark brainliest

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3 years ago

Read 2 more answers

A circular patio has a diameter of 35 yards. What is the circumference of the patio?

wolverine [178]

C=2πr=2·π·17.5≈109.95574

6 0

3 years ago

The commuting time for a student to travel from home to a college campus is normally distributed with a mean of 30 minutes and a

Rainbow [258]

Answer:

0.1587

Step-by-step explanation:

Let X be the commuting time for the student. We know that $X\sim N(30, (5)^2)$ . Then, the normal probability density function for the random variable X is given by

$f(x) = \frac{1}{\sqrt{2\pi(5)^{2}}}\exp[-\frac{(x-\mu)^{2}}{2(5)^{2}}]$ . We are seeking the probability P(X>35) because the student leaves home at 8:25 A.M., we want to know the probability that the student will arrive at the college campus later than 9 A.M. and between 8:25 A.M. and 9 A.M. there are 35 minutes of difference. So,

$P(X>35) = \int\limits_{35}^{\infty}f(x)dx$ = 0.1587

To find this probability you can use either a table from a book or a programming language. We have used the R statistical programming language an the instruction pnorm(35, mean = 30, sd = 5, lower.tail = F)

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3 years ago