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3 years ago

The product of x and 8 is not less than 16

Mathematics

2 answers:

Marrrta [24]3 years ago

5 0

Answer:

x ≥ 2

Step-by-step explanation:

The inequality would be: x * 8 ≥ 16

8x ≥ 16

x ≥ 16/8

x ≥ 2

Hope this helps!

VLD [36.1K]3 years ago

5 0

Answer:

x*8 > 16

Step-by-step explanation:

product means multiplaction and x and 8 are being multiplied so x*8 and the answer is not less than or at least 16

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Count the possible combinations of 3 letters chosen from A, B, C, D. The possible combinations of 3 letters are __.

anygoal [31]

Answer:

Step-by-step explanation:

We are given the letters:

We write the possible permutations of 3 letters from the given list:

Because order is not important in a combination we cross out the duplicate pairs:

8 0

3 years ago

Read 2 more answers

Which description best compares the graphs given by the equations:

nexus9112 [7]

x - 5y = -5, -5x - 25y = 25

First, you'll need to get the x variable by itself.

x - 5y = -5
 +5 +5
 x = 0
So x is plotted on the 0.

For the second part of the first equation, you'll be looking for what the y variable represents.

x - 5y = -5
-x -x
 -5y = -5
 5 5
 y = 1
So y is plotted on the 1 on the vertical line above the 0.

For the first part of the second equation, you'll do the same thing as in the first equation.

-5x - 25y = 25
 +25 +25
 -5x = 50
 5 5
x = 10
So the x for this equation is plotted on 10 on the horizontal line.

For the second part of the second equation, you will do the same thing as in the first equation.

-5x - 25y = 25
+5 +5
 -25y = 30
 25 25
y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.

<h2>Answer: B) Perpendicular</h2>

Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.

Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.

Intersecting means the lines may or may not be of equal length but will touch each other.

6 0

2 years ago

Select the correct answer.

Kaylis [27]

For this case we have that by definition, the volume of a rectangular prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}:$ It is the area of the base of the prism

h: It is the height

$A_ {b} = w * l$

Where:

w: is the width

l: is the length

According to the data of the statement we have:

$w = 16 \ in\\l = 4h\\V = 4,096 \ in ^ 3$

Substituting the data we have:

$A_ {b} = 16 * 4h = 64h\\64h * h = 4,096\\64h ^ 2 = 4,096\\h ^ 2 = \frac {4096} {64}\\h ^ 2 = 64\\h = \pm \sqrt {64}\\$

We choose the positive value: $h = 8$

So the height is $8 \ in$

Answer:

$8 \ in$

6 0

4 years ago

How do I know when I need to use SSS or SAS in geometry? I'm having a lot of trouble understanding the difference and when to us

Pavel [41]

SSS = Side-Side-Side
If three sides of one triangle are congruent to three sides of another triangle then the triangles are congruent.

SAS = Side-Angle-Side
If two sides and the included angle are equal to the corresponding parts of another triangle then the triangles are congruent.'
The angle must be formed by the two pairs of congruent, corresponding sides of the triangles. If the angles are not formed by the two sides that are congruent and corresponding to the other triangle's parts then you cannot use the SAS postulate.

you will notice that the main difference between the two postulates is that the SAS consists of an angle and the SSS does not.

hope this helps :)

7 0

3 years ago

Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9

Tpy6a [65]

ANSWER

D.
$A=3,P=2\pi,PS=(4,9)$

EXPLANATION

The given function is

$f(x) = 3 \sin(x - 4) + 9$

Comparing to the general form of a trigonometric sine function,

$f(x) = A \sin(Bx-C)+D$

$A=3$
The amplitude is absolute value of A

$|A| = |3| = 3$

$B=1$

The period is given by

$p = \frac{2\pi}{ B}$

$p = \frac{2\pi}{ 1} = 2\pi$

$C=4$

is a shift to the right of 4 units.

and

$D=9$

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D

6 0

3 years ago