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3 years ago

Which equation is represented by the table

Mathematics

1 answer:

lyudmila [28]3 years ago

4 0

Answer:

B. b = 3a + 2

Step-by-step explanation:

We can write the equation in slope-intercept form as b = ma + c, where,

m = slope/rate of change

c = y-intercept/initial value

✔️Find m using any two given pair of values, say (2, 8) and (4, 14):

Rate of change (m) = change in b/change in a

m = (14 - 8)/(4 - 2)

m = 6/2

m = 3

✔️Find c by substituting (a, b) = (2, 8) and m = 3 into b = ma + c. Thus:

8 = 3(2) + c

8 = 6 + c

8 - 6 = c

2 = c

c = 2

✔️Write the equation by substituting m = 3 and c = 2 into b = ma + c. Thus:

b = 3a + 2

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Does this Graph represent a function? Why or why not?

koban [17]

Answer: Yes

Step-by-step explanation:

To solve this, imagine you have a vertical line. You can use a ruler or something straight. Move the ruler across the screen. Does the ruler intersect 2 points at once? If so, then it is not a function. If it only intersects one point, then it is a function.

Always remember: a function cannot have two x's with different y-values.

Hope that helped!

3 0

3 years ago

Write 54 + 63 as the product of the GCF of 54 and 63 and another sum

levacccp [35]

Answer:

9*(6+7)

Step-by-step explanation:

First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.

Factors of 54

1,2,3,6,9,18,27,54

Factors of 63

1,3,7,9,21,63

The GCF is 9 because is the greatest factor that is common to both numbers.

Now we have to divide 54/9 and 63/9

54/9 = 6

63/9 = 7

So now we can write the product of the GCF and another sum:

9*(6+7)

We can prove this by solving both expressions:

54+63 = 9*(6+7)

117 = 9*13

117 = 117

The results are equal so we prove it is right.

8 0

3 years ago

Read 2 more answers

Solve photo question, please. Thanks:) Last one

zaharov [31]

I think it's consistent and independent because consistent means it has at least one solution (which it does) and independent means that it has exactly one solution. (i wasnt familiar with these terms so i googled what they meant, i apologise in advance if i am wrong)

4 0

3 years ago

If the simple interest on $7,000 for 7 years is $2,940, then what is the interest rate?

ddd [48]

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2940\\ P=\textit{original amount deposited}\dotfill & \$7000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &7 \end{cases} \\\\\\ 2940=7000(\frac{r}{100})(7)\implies \cfrac{2940}{7000(7)}=\cfrac{r}{100}\implies \cfrac{3}{50}=\cfrac{r}{100} \\\\\\ 300=50r\implies \cfrac{300}{50}=r\implies \stackrel{\%}{6}=r$

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3 years ago

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Is the expression below a perfect square trinomial or the difference of two squares?

DanielleElmas [232]

The expression shown below is a difference of two squares.

<h3>Is a given expression a perfect square trinomial or a difference of two squares?</h3>

In this problem we have an algebraic expression that has to be checked by algebraic procedures. The complete procedure is shown below:

(x² + 8 · x + 16) · (x² - 8 · x + 16) Given

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[(x + 4) · (x - 4)] · [(x + 4) · (x - 4)] Definition of power / Associative and commutative property

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The expression shown below is a difference of two squares.

To learn more on differences of squares: brainly.com/question/11801811

#SPJ1

7 0

1 year ago