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4 years ago

John has

Mathematics

1 answer:

BabaBlast [244]4 years ago

5 0

Answer:Thus, the number of dimes is

and the number of nickels is 7 + 6 = 13

0.10

0.05

(

)

1.35

0.10

0.05

1.35

−

0.30

0.15

1.05

0.15

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If (-6,-38) and (5,28) are two anchor points on the trend line, then find the equation of the line

Delicious77 [7]

Answer:

The equation of the line is y = 6x - 2 .

Step-by-step explanation:

Formula for the equation of line is.

$(y - y_{1}) = m (x - x_{1})$

Where m is the slope.

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

As given

If (-6,-38) and (5,28) are two anchor points on the trend line.

Than

$m = \frac{28 - (-38)}{5 - (-6)}$

$m = \frac{28 + 38}{5 + 6}$

$m = \frac{66}{11}$

m = 6

Put the value in the equation of a line.

$(y - (-38)) = 6 (x - (-6))$

$(y + 38) = 6 (x + 6)$

$(y + 38) = 6x + 6\times 6$

$(y + 38) = 6x + 36$

y = 6x +36 - 38

y = 6x - 2

Therefore the equation of the line is y = 6x - 2 .

7 0

3 years ago

Which function represents exponential decay? f(x) = One-half (three-halves) Superscript x f(x) = One-half (negative three-halves

viva [34]

Answer:

$f(x) = 4(\frac{2}{3})^{x}$

Step-by-step explanation:

The first function is given as, $f(x) = \frac{1}{2}(\frac{3}{2})^{x}$ .

Now, the value of this function increases i.e. value of f(x) increases as the x-value increases because $\frac{3}{2} > 1$ .

Now, the second function is given as, $f(x) = \frac{1}{2}(- \frac{3}{2} )^{x}$ .

This function can not be considered as a continuous function because $- \frac{3}{2} < 0$ .

Again, the third function is given as, $f(x) = 4(- \frac{2}{3})^{x}$ .

This function can also not be considered as a continuous function because $- \frac{2}{3} < 0$ .

Finally, the fourth function is given to be, $f(x) = 4(\frac{2}{3})^{x}$ .

In this function, the value of f(x) continuously decreases as the value of x increases, because $0 < \frac{2}{3} < 1$ .

Therefore, this function represents exponential decay. (Answer)

10 0

4 years ago

Read 2 more answers

Solve each equation. Check your solution. 4t - 2 = 14

anyanavicka [17]

T = 4. first, you can add 2 to both sides of the equation. you get 4t = 16. then, you can divide both sides by 4 to isolate t.

3 0

3 years ago

Read 2 more answers

5,000 ones equal to how many thousands

elena-14-01-66 [18.8K]

5 because a thousand means 1000 and u got 5 times 1000 so its 5000

6 0

4 years ago

A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag.

frosja888 [35]

Answer:

Question 1: 4/5 or %80

Question 2: 7/10 or %70

Step-by-step explanation:

Step 1: Find the total amount of marbles

5 + 2 + 3

10

Step 2: Find the probability of not drawing a black marble

Add the total amount of marbles that are not black

5 + 3

8

Now find the probability:

8/10

4/5 or %80

Answer: 4/5 or %80

Step 3: Find the probability of not drawing a red marble

Add the total amount of marbles that are not red

5 + 2

7

Now find the probability:

7/10 or %70

Answer: 7/10 or %70

3 0

3 years ago