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Anastasy [175]
3 years ago
5

3. Which ordered pair is a solution of the

Mathematics
1 answer:
Nataly [62]3 years ago
4 0

Answer:

B

Step-by-step explanation:

because (-7) is less than 12 and 1-(-7) is greater than 5

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What is the rate of change and initial value for the linear relation that includes the
Aleonysh [2.5K]

Answer:

The initial value of the function is 25 and the rate of change is - 5.

Step-by-step explanation:

The table gives the ordered pairs of linear relation and they are (1,20) and (3,10).

Now, the equation of the linear relation that includes those ordered pairs will be  

\frac{y - 10}{10 - 20} = \frac{x - 3}{3 - 1}

⇒ y - 10 = - 5(x - 3)

⇒ y - 10 = - 5x + 15

⇒ y = - 5x + 25

Therefore, the initial value of the function is 25 and the rate of change is - 5. (Answer)

8 0
3 years ago
Use CALCULUS to find coordinates of the turning point on C.
antiseptic1488 [7]
Oi 

Just calculating the differential. Step by step:

y=12 \sqrt{x} -x \frac{3}{2}-10 \\  \\ y=12x^{ \frac{1}{2} } -x \frac{3}{2}-10 \ \ \ \boxed{transform \  \sqrt{x} =x^{ \frac{1}{2} }}  \\  \\  Differentiating \\  \\ y'=12. \frac{1}{2}.x^{ \frac{1}{2}-1 } -1.x^{1-1}. \frac{3}{2}-0 \\  \\  y'=6.x^{ -\frac{1}{2} } -x^{0}. \frac{3}{2} \\  \\  y'=6. \frac{1}{x^{ \frac{1}{2} }}  -1. \frac{3}{2}  \\  \\  \boxed{y'=\frac{6}{ \sqrt{x} }  -\frac{3}{2}}

If you want to know where the tangent has no slope:

\frac{6}{ \sqrt{x} } - \frac{3}{2} =0 \\  \\  \frac{6}{ \sqrt{x} } = \frac{3}{2}  \\  \\ 3 \sqrt{x} =12 \\  \\  \sqrt{x} = \frac{12}{3}  \\  \\  \sqrt{x} =4 \\  \\   (\sqrt{x})^2 =4^2 \\  \\ x=16
3 0
3 years ago
Kyle and his brother have a marble set. Of the marbles, 12 are blue. This represents 50/100 of all the marbles. What decimal is
nignag [31]
So, 50/100 can be simplified to 1/2 (a half). Therefore, the decimal notation for 1/2 would be .5   (This is just one of many ways to solve this type of problem)  Hope this helps, let me know if you need more help : )

6 0
3 years ago
Please help with one is right
algol13

Answer:

Quon is right

Step-by-step explanation: 2x3=6 square in not 2.4 square in

5 0
3 years ago
Janice wants to create a test containing 20 questions worth 50 points. If Janice creates questions worth either two points or fo
Elena L [17]

Answer:

15 two-point questions and 5 four-point questions.

Step-by-step explanation:

Let x represent number of two-points questions and y represent number of four-points questions.

We have been given that Janice wants to create a test containing 20 questions. We can represent this information in an equation as:

x+y=20...(1)

Since all questions are worth 50 points. We can represent this information in an equation as:

2x+4y=50...(2)

From equation (1), we will get:

x=20-y

Upon substituting this value in equation (2), we will get:

2(20-y)+4y=50

40-2y+4y=50

40+2y=50

40-40+2y=50-40

2y=10

\frac{2y}{2}=\frac{10}{2}

y=5

Therefore, there are 5 questions that are worth 4 points each.

Now, we will substitute y=5 in equation (1) to solve for x.

x+5=20

x+5-5=20-5

x=15

Therefore, there are 15 questions that are worth 2 points each.

3 0
3 years ago
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