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klio [65]
3 years ago
11

3. Which word phrase can be used to represent the algebraic expression 4(21+ n)? (2 point) 4 plus the sumn of 21 and a number »

O4 times the product of 21 and a number » ne the sum of 21 and a number x 4 less than the sum of 21 and a number : O4 timeſ the​

Mathematics
1 answer:
NemiM [27]3 years ago
6 0

Answer:

4 times the sum of 21 and a number

Step-by-step explanation:

4(21+ n)

The four is being multiplied by the sum of 21 and n

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For what value of c is the relation a function? {(2.8). (12.3).(c.4), (-1.8). (0.3}}
raketka [301]

Answer:  B) 1

=======================================================

Explanation:

I'm assuming you were given the list of points to be

{(2,8). (12,3).(c,4), (-1,8). (0,3}}

the x coordinates of each point are: 2, 12, c, -1 and 0

If c is equal to any of the other x coordinates (2, 12, -1, or 0), then this will mean we have a repeated x coordinate. In turn, this leads to us not having a function.

---------

Consider the case that c = 2.

This means that (2,8) and (2,4) are two points in this relation. The input x = 2 leads to multiple outputs y = 8 and y = 4 at the same time. A function is not possible here. A function is only possible if we have any given input lead to exactly one output only. So this is why c = 2 is not possible if we want a function. The same goes for the other x coordinates mentioned.

All of this means we can rule out choices A, C, and D

Choice B means that c = 1 and this x coordinate hasn't been mentioned yet. So this could be a value of c that leads to a function. This is why choice B is the final answer.

3 0
3 years ago
5 divide 15x 15squared
Goryan [66]

Answer:

75

Step-by-step explanation:

(5 /15) x (15 squared = 75

4 0
3 years ago
Simplify. Can you explain it also?
Doss [256]

Answer:

The answer is

<h2>\frac{3c}{4e}</h2>

Step-by-step explanation:

<h3>\frac{9 {c}^{3}d {e}^{2}  }{12 {c}^{2} d {e}^{3} }</h3>

To solve the fraction reduce the fraction with d

That's we have

<h2>\frac{9 {c}^{3}  {e}^{2} }{12 {c}^{2} {e}^{3}  }</h2>

Next simplify the expression using the rules of indices to simplify the letters in the fraction

<u>For c </u>

Since they are dividing we subtract the exponents

We have

<h2>{c}^{3}  \div  {c}^{2}  =  {c}^{3 - 2}  = c^{1}  = c</h2>

<u>For </u><u>e</u>

<h2>e^{2}  \div  {e}^{3}  = e^{2 - 3}  =  {e}^{ - 1}  =  \frac{1}{e}</h2>

Substituting them into the expression we have

<h2>\frac{9c}{12e}</h2>

Reduce the fraction by 3

We have the final answer as

<h2>\frac{3c}{4e}</h2>

Hope this helps you

8 0
3 years ago
What dimension is a single point?
mestny [16]
A point has D) zero dimensions
4 0
3 years ago
PQR is a right angled triangle calculate the size of angle marked x
romanna [79]

Answer:

\displaystyle x \approx 37.4^\circ

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cosθ = adjacent over hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = <em>x</em>

Adjacent Leg = 5.8

Hypotenuse = 7.3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Cosine]:                                                                    \displaystyle cosx^\circ = \frac{5.8}{7.3}
  2. [Fraction] Divide:                                                                                             \displaystyle cosx^\circ = 0.794521
  3. [Equality Property] Trig inverse:                                                                    \displaystyle x^\circ = cos^{-1}(0.794521)
  4. Evaluate trig inverse:                                                                                      \displaystyle x = 37.39^\circ
  5. Round:                                                                                                             \displaystyle x \approx 37.4^\circ
8 0
3 years ago
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