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3 years ago

Consider the inequality.

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

6 0

Answer:

Step-by-step explanation:

(5) + 3(5) < 24

20 < 24

motikmotik3 years ago

4 0

Answer:

Step-by-step explanation:

Solve inequality:

$x + 3x$

only one less than 6 is A. 5

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Find the initial point P of a vector u with terminal point Q(2,0,2), such that:9Fdhe iiial point P of a vector iu with terminal

denpristay [2]

Answer:

a) P = (-3, 4, 3)

b) P = (7, 4, 1)

Step-by-step explanation:

a) You want Q-P = (5, 4, -1) where Q = (2, 0, 2). Solving for P, we get ...

P = Q - (5, 4, -1) = (2-5, 4-0, 2-(-1))

P = (-3, 4, 3)

b) The vector in the opposite direction of the one given is the given one multiplied by -1.

P = Q - (-1)(5, 4, -1) = (2+5, 0+4, 2-1)

P = (7, 4, 1)

3 0

3 years ago

An irrational number between 5 and 7

Lorico [155]

By definition we have to:

In mathematics, an irrational number is a number that can not be expressed as a fraction m / n, where m and n are integers and n is different from zero.

For example, the number π is an irrational number.

$\pi = 3.141592654$

We must find an irrational number between 5 and 7.

We then have the following number:

$2\pi = 6.283185307$

Answer:

An irrational number between 5 and 7 is:

$2\pi = 6.283185307$

4 0

4 years ago

Read 2 more answers

Match the coordinates with the points on the coordinate plane

Gnesinka [82]

Answer:

Step-by-step explanation:

$(-2\frac{1}{2},3\frac{1}{2})$

Since, x-coordinate is negative and y-coordinate is positive, point will lie in the 2nd quadrant.

Answer is point P.

(-3, 6)

Point L represents the given coordinates.

$(-4\frac{1}{2},2)$

Point P represents the given coordinates.

$(2\frac{1}{2},2\frac{1}{2})$

Since, x and y coordinates are positive, point will lie in the 1st quadrant.

Point Q represents the given coordinates.

$(-1\frac{1}{2},-3\frac{1}{2})$

Since, both x and y coordinates are negative, point will lie in the 3rd coordinate.

Point R represents the given coordinates.

5 0

3 years ago

I have to pay my friend $1 increased by 50% each day for 20 days. How much do I have to pay him at the end of the 20 days.

Radda [10]

So for this, you'll be using an exponential equation, which is y=ab^x (a = initial value, b = growth/decay).

Since you start off paying your friend $1, that will be your initial value. And since this is a 50% increase, you are to add 1 and 0.5 together (50% in decimal form), which is 1.5. That will be your b variable. And since # of days is the independent variable, that will be your x variable.

Using the previous info, this is our equation: y = 1(1.5)^20 . From here we can solve for the total cost (y).

Firstly, solve 1.5^20: y = 1(3325.26)

Next, multiply everything on the right side of the equation, and your answer will be (rounded to the hundreths): y = 3325.26

In context, at the end of the 20 days, you have to pay your friend $3325.26.

5 0

3 years ago

PLZZZ HELPPP!!!!!!!!!!

miv72 [106K]

Hello!

$\large\boxed{2x + y = 3}$

Begin by finding the slope that would be perpendicular to the given equation.

A perpendicular line has a slope that is the opposite reciprocal of the original. Therefore:

1/2 --> -2

Find the answer choice that contains a slope of -2 when rewritten in the form y = mx + b:

Choice 1:

x + 2y = 2

Move x to the other side:

2y = -x + 2

Divide both sides by 2:

y = -1/2x + 1. This choice is incorrect.

Choice 2:

x - 2y = -12

Move x to the other side:

-2y = -x - 12

Divide both sides by -2:

y = 1/2x + 6. This choice is incorrect.

Choice 3:

2x + y = 3

Move 2x to the other side:

y = -2x + 3. This contains a slope of -2, which is correct.

Choice 4:

y - 2x = -5

Move -2x to the opposite side:

y = 2x - 5. This contains a slope of positive 2, so it is incorrect.

The correct answer is 2x + y = 3.

7 0

3 years ago

Read 2 more answers