All categories

3 years ago

Determine the value of X

Mathematics

1 answer:

Ulleksa [173]3 years ago

5 0

Answer:

We need some form of question other then Determine the value of X.... or equation

You might be interested in

Muke is sick with the flu but he still cors to school on monday. He areives at 8am and by 9am (hour 1) muke has already infected

Volgvan

Answer:

$\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}$

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): Complete the table

Let

$x = hours$

$y = persons$

From the table question, we have:

$(x_1,y_1) = (0,1)$

$(x_2,y_2) = (1,2)$

$(x_3,y_3) = (2,4)$

The pattern follows that, an increment in x by doubles the value of 1.

So, the other values are:

$(x_4,y_4) = (3,8)$

$(x_5,y_5) = (4,16)$

$(x_6,y_6) = (5,32)$

$(x_7,y_7) = (6,64)$

$(x_8,y_8) = (7,128)$

So, the complete table is:

$\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}$

Solving (b): The graph

The table follows an exponential function:

$y = ab^x$

We have: $(x_1,y_1) = (0,1)$

This gives:

$y = ab^x$

$1 = ab^0$

$b^0 \to 1$

So:

$1 = a*1$

$1 = a$

$a =1$

Also: $(x_5,y_5) = (4,16)$

This gives:

$y = ab^x$

$16 = 1 * b^4$

$16 = b^4$

$16 \to 2^4$

So:

$2^4 = b^4$

Cancel the exponents (4)

$2 =b$

$b = 2$

So, the function $y = ab^x$ is:

$y = 2^x$

<em>See attachment 2 for graph</em>

6 0

3 years ago

Evaluate the expression 4x for xequals2

4vir4ik [10]

Answer:ghgjfhgythgbvh

Step-by-step explanation:

7 0

3 years ago

If AB is 12, what is the length of A'B'?

lukranit [14]

Triangles ABC and A'B'C are similar. This means that the corresponding sides are in the same ratio, in this case:

$\frac{BC}{B^{\prime}C}=\frac{AC}{A^{\prime}C}=\frac{AB}{A^{\prime}B^{\prime}}$

Replacing with data:

$\begin{gathered} \frac{9}{6}=\frac{12}{A^{\prime}B^{\prime}} \\ 9\cdot A^{\prime}B^{\prime}=12\cdot6 \\ A^{\prime}B^{\prime}=\frac{72}{9} \\ A^{\prime}B^{\prime}=8 \end{gathered}$

7 0

1 year ago

It is important to re-evaluate financial goals periodically. In which of the following situations would it be necessary to chang

likoan [24]

Answer: A Edge

You fell sharply behind your expected schedule with regard to saving

Look your test

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the solution of-+-<?<br> 1 1 1<br> X35