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stepladder [879]
3 years ago
7

How to tell if an ordered pair is a solution to a function

Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0
A) yes
B) yes
C) no

For each of these, substitute the value of x in the ordered pair into x in the function.

For A, x = -5; -5<2, so the piece of the function we want is f(x) = 3.  In our ordered pair, y=f(x)=3, so yes, it is a solution.

For B, x = 2; 2≤2<6, so the piece of the function we want is f(x) = -x+1.  In our ordered pair, y=f(x)=-1; -2+1=-1, so yes, it is a solution.

For C, x = 8; 8≥6, so the piece of the function we want is f(x) = x.  In our ordered pair, y=f(x)=-7; -7≠8, so no, it is not a solution.
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A student is attempting to factor a polynomial. Sample mathematical work is shown below. Which statement best applies to the sam
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The choices are:

<span>A. The student identified the greatest common factor incorrectly.
B. The student incorrectly divided each term by the greatest common factor.
C. The student failed to simplify the expression.
D. The mathematical work shown is correct.</span>

I think the correct answer from the choices is option D. The mathematical work shown is correct. Hope this answers the question. Have a nice day.
4 0
3 years ago
How can a ratio's number can be changed without changing the ratio itself
eimsori [14]
<h2>Answer:</h2>

The ratio is a fraction that tells us how many times longer a thing is compared to another thing. In mathematics, we express a ratio as the relationship between two numbers, namely a \ and \ b, so the ratio can be written as:

r=\frac{a}{b}

If we can change this number without changing the ration we need to multiply  both the numerator and the denominator by the same number. For instance, if we have the following ratio:

r=\frac{2}{3}

We can multiply both the numerator and denominator, say, by 7. Then:

r=\frac{7\times 2}{7 \times 3}=\frac{14}{21}

As you can see, the ratio's number has changed but without changing the ratio itself because:

\frac{2}{3}=\frac{14}{21}

8 0
3 years ago
Cual es la. Longitud de un lápiz 2
asambeis [7]

<span>Traduje su pregunta al Inglés y respondió a esto. La longitud de un lápiz estándar número 2 es de 7,5 pulgadas, y el lápiz tiene un diámetro de unos 7 milímetros. Espero que esto ayudó☻</span>



I translated your question to english and answered this. <span>The length of a standard number 2 pencil is 7.5 inches, and the pencil has a diameter of about 7 millimeters. Hope this helped ☻

</span>
4 0
3 years ago
The Square of the sum of three and five
Savatey [412]

3+5=8

8^2 is 8×8 which equals 64.

The square of the sum of 3 and 5 equals 64.

7 0
3 years ago
What is the solution to the system of equation <br><br> -2x+6y=-38<br> 3x-4y=32
Alla [95]

Answer:

x= 4

y= -5

Step-by-step explanation:

-2x+6y=-38    equation 1

3x-4y=32     equation 2

using equation 1 we have:

-2x+6y=-38  

6y +38 = 2x

3y + 19 = x   equation 3

using equation 3 in equation 2 we have:

3(3y + 19) - 4y = 32

9y + 57 -4y =32

5y = 32 -57

5y = -25

y= -25/5

y = -5

so we have:

3y + 19 = x  

3(-5) +19 = x

x= 4

5 0
3 years ago
Read 2 more answers
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