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3 years ago

6. Which value is a solution to the inequality? −3x −5 < −14

Mathematics

2 answers:

yan [13]3 years ago

8 0

First, add -5 to -14:

-3x < -9

Then, just divide!:

x < 3
Hopefully that helped! :)

kogti [31]3 years ago

7 0

The solution is x > 3

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Calculate the sum of the infinite series

Rina8888 [55]

Answer:

$S_\infty=250$ .

Step-by-step explanation:

The given infinite series is $50+40+32+\frac{128}{5}+...$ .

The first term of this series is $a_1=50$ .

The common ratio is $r=\frac{40}{50}$ .

$\Rightarrow r=\frac{4}{5}$ .

The sum of this infinite series is given by the formula,

$S_\infty=\frac{a_1}{1-r}$

We now substitute all the above values in to this formula obtain,

$S_\infty=\frac{50}{1-\frac{4}{5}}$

This implies that,

$S_\infty=\frac{50}{\frac{1}{5}}$

This simplifies to,

$S_\infty=50\times 5$

$S_\infty=250$ .

The correct answer is C.

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4 years ago

Opposite reciprocal of -9/1 and 11/-7

PtichkaEL [24]

Answer:

1/9 and 7/11

Step-by-step explanation:

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3 years ago

Traveling with a speed of 70 mph, a car covered a distance D miles in T hours. Write an equation that relates the distance D thi

irina [24]

Answer:

Part A) $D=70T$

Part B) $D=105\ miles$

Step-by-step explanation:

Par A) Write an equation that relates the distance D this car travels in T hours

we know that

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Let

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T ----> the time in hours

$D=kT$

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we have

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substitute

$D=70T$

Part B) Use the equation to find the distance the car travels between 3:30 p.m. and 5:00 p.m

we know that

The time between 3:30 p.m. and 5:00 p.m is equal to

5:00 p.m-3:30 p.m=1.5 hours

For T=1.5 h

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3 years ago

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Answer:

Step-by-step explanation:

x 0.75

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3 years ago

One less then five times a number is fewer then twenty four

NISA [10]

5n - 1 < 24 is the inequality in question. Add 1 to both sides, obtaining:

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