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3 years ago

Which properties are present in a table that represents an exponential function in the form y=bx

Mathematics

1 answer:

Bas_tet [7]3 years ago

6 0

Answer:

y-intercept (0,1)

multiplicative rate of change: b

Step-by-step explanation:

If a table represents an exponential function of the form $y=b^x$ , then the y-value that corresponds to x=0 is 1.

In other words, the y-intercept (0,1) must be present in the table.

Also the ratio of a subsequent y-value to the previous y-value should give a value of b.

In other words the multiplicative rate of change from the table must be equal to b.

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Which is the graph of f(x)= 3 sq root -x?

sattari [20]

Answer:

3rd option. The way you do it is just plug in negative x value let's say -8, plug it in then y would be a positive value. So that rules out first two options. Then plug in positive x value, y would be negative.

8 0

3 years ago

Philip made a total of 9 bracelets and necklaces from 120 inches of cord. He used 8 inches of cord for each bracelet and 20 inch

Viktor [21]

Answer:

So Philip made 5 bracelets and 4 necklaces.

Step-by-step explanation:

Let x = number of bracelets and y = number of necklaces.

Since we have a total of 9 bracelets and necklaces,

x + y = 9 (1)

Also, we have 8 inches of cord for each bracelet and 20 inches of cord for each necklace, then the total length for the bracelet is 8x and that for the necklace is 20y.

So, the total length for both is 8x + 20y. Since the total length of cord used is 120 inches,

8x + 20y = 120 (2)

Simplifying it we have

2x + 5y = 30 (3).

Writing equations (1) and (3) in matrix form, we have

$\left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}9\\30\end{array}\right]$

Using Cramer's rule to solve for x and y,

$x = det \left[\begin{array}{ccc}9&1\\30&5\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\$

x = (9 × 5 - 30 × 1) ÷ (1 × 5 - 1 × 2)

x = (45 - 30) ÷ (5 - 2)

x = 15 ÷ 3

x = 5

$y = det \left[\begin{array}{ccc}1&9\\2&30\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\$

y = (30 × 1 - 9 × 2) ÷ (1 × 5 - 1 × 2)

y = (30 - 18) ÷ (5 - 2)

y = 12 ÷ 3

y = 4

So Philip made 5 bracelets and 4 necklaces.

3 0

3 years ago

The mean age of 9 women in an office is 27 years old. The mean age of 7 men in an office is 25 years old. What is the mean age (

marta [7]

Answer:

26 years

Step-by-step explanation:

Given:

The mean age of 9 women = 27 years old

The mean age of 7 men = 25 years old

Question asked:

What is the mean age (nearest year) of all the people in the office?

solution:

By using, mean = sum of observations divided by number of entities

The mean age of 9 women = 27 years old

$\frac{sum of ages}{number of women}$ = $27$

$Sum of ages of women = 27 \times9 = 243\\$ $years$

The mean age of 7 men = 25 years old

$\frac{sum of ages}{number of men}$ = $25$

$sum of ages of men = 25 \times7 = 175$

Total sum of ages of men and women in the office = 243 + 175

= 418 years

Total number of people in the office = 9 women + 7 men = 16

The mean age of all the people in the office = Total sum of ages of men and women in the office divided by Total number of people in the office

= $\frac{418}{16} = 26.125$

Therefore, the mean age (nearest year) of all the people in the office = 26 years

6 0

3 years ago

Two lines, A and B, are represented by the following equations:

almond37 [142]

Answer:

Step-by-step explanation:

The solution is where the lines intersect which is at the point (3,2).

So the answer is Option D.

The point (3,2) satisfies both equations.

4 0

3 years ago

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Write an expression in expanded form that is equivalent to 3(7d + 4e)

Vladimir79 [104]

21d+12e
answer mine pleadw

8 0

3 years ago

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