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SSSSS [86.1K]
3 years ago
14

Which number is a possible solution to the inequality below?

Mathematics
1 answer:
klio [65]3 years ago
7 0

Answer:

A -4.75

Step-by-step explanation:

The inequality is given as :

x ≤ -3

A possible solution per the answer choices is  -4.75

Hence;

-4.75 ≤ -3

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Which complex number does NOT fall within the shaded region in this graph?
avanturin [10]
In order to find which is the answer, we will go step-by-step. Numbers that are not followed by I are drawn on the Real Axis and the other ones are drawn on the Imaginary Axis. You go first on the Real Axis and then on the Imaginary Axis and intersect those 2 points. If a number does not have an imaginary or real part you can assume that is equal to 0. As you can notice the number that is not in the shaded area is <span>2 − I</span>
4 0
3 years ago
John has a boat that will travel at the rate of 15 kph in still water. He can go upstream for 35 km in the same time it takes to
Otrada [13]

Answer:

The boat traveling at 24 kph when John goes downstream.

Step-by-step explanation:

We are given the following in the question:

John has a boat that will travel at the rate of 15 kph in still water.

Let x be the speed of the current.

Speed of boat in upstream

(15-x)\text{ kph}

Speed of water in downstream

(15+x)\text{ kph}

Relation:

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}

We have to find the speed of boat in downstream.

Time to travel upstream for 35 km = Time to travel  140 km downstream

\displaystyle\frac{35}{15-x}=\frac{140}{15+x}\\\\35(15+x) = 140(15-x)\\525 + 35x = 2100 - 140x\\175x = 1575\\x = 9

Thus, speed of current is 9 kph.

Speed of boat in downstream = 15 + 9 = 24 kph.

Thus, the boat traveling at 24 kph when John goes downstream.

4 0
3 years ago
One number is 5 more than another.
Ganezh [65]

Answer: 29 and 24

Step-by-step explanation:

Since one number is 5 more than another

53-5 = 48

Then we divide that by two to get the value of one of the two numbers

48/2= 24

In order to get the number which is 5 more than the other, we add 5

24+5= 29

So the two numbers would be 29 and 24.

Check:

29+24= 53

7 0
3 years ago
Read 2 more answers
How many solutions are there to the following equation?
swat32

Answer:

D, infinitely many solutions

Step-by-step explanation:

1. multiply out

5(x-3) = 5x-15

2. combine like terms

5x-15-3x=8x-15-6x = 2x-15=2x-15

they are equal so there are infinite solutions.

8 0
3 years ago
Determine f’(2) for f(x)=(x^2 -2x)(3x-1)
DanielleElmas [232]
<span>f(x)=(x^2 -2x)(3x-1) is a product and is most easily differentiated using the product rule:

f '(x) = (x^2 - 2x)(3) + (3x-1)(2x-2)

Now subst. 2 for x in this equation.  We get:

f '(2) = (2^2 - 2(2))*3 + (3(2)-1)(2(2) -2), or
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5 0
3 years ago
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