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2 years ago

Which function represents a reflection of f(x) = Three-sevenths(2)x over the x-axis?

Mathematics

2 answers:

NemiM [27]2 years ago

9 0

Given:

The given function is $f(x)=\frac{3}{7}(2)^{x}$

We need to determine the reflection of f(x) over the x - axis

Reflection over x - axis:

The translation rule to reflect over the x - axis is given by

$(x, y) \rightarrow(x,-y)$

Reflecting the function over the x - axis, we get;

$-y=\frac{3}{7}(2)^{x}$

Multiplying -1 to both sides of the equation, we have;

$y=-\frac{3}{7}(2)^{x}$

This can be written as

$g(x)=-\frac{3}{7}(2)^{x}$

Hence, the reflection of the function over the x - axis is $g(x)=-\frac{3}{7}(2)^{x}$

Thus, Option A is the correct answer.

Gekata [30.6K]2 years ago

8 0

Answer:

Step-by-step explanation:

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Rus_ich [418]

Answer:

h=3in

Step-by-step explanation:

A=a+b

Solving forh

h=2A

a+b=2·13.5

3+6=3in

3 0

2 years ago

A card is drawn from a pack of 52 cards. Find the probability of drawing an ace given that it is diamond.4/521/132/134/13

ICE Princess25 [194]

Solution:

The probability of an event is expressed as

$P(event)=\frac{number\text{ of desired outcome}}{number\text{ of possible outcome}}$

In a pack of 52 cards, we have

$\begin{gathered} number\text{ of diamonds=13} \\ number\text{ of ace= 1} \end{gathered}$

Thus, we have the probability to be evaluated as

$P(ace)=\frac{1}{13}$

8 0

8 months ago

Which of the following statements is not true?

Amiraneli [1.4K]

The above question is asking us to check if the exponents are written in the correct way or not.Let us look at the options one by one.

1) The exponent denotes the number of time the letter or number is multiplied.We have six x which are multiplied so the exponent for x which is 6 is right .The exponent is written correct .

2)We have seven A which are multiplied and five B multiplied making the exponent of A as 7 and B as 5 .The exponents are written correct.

3)There are six b and six c .The exponent rule has been followed here that is we can keep bc inside parenthesis and make 6 as the exponent.

4)Here exponent for x,y,z all are 5. we can not remove the exponent of x and y .It is not following the exponent rule .

Option 4 is not true.

4 0

2 years ago

Read 2 more answers

the solutions to the inequality y > −3x 2 are shaded on the graph. which point is a solution? a). (0, 2) b). (2, 0) c). (1, −

PolarNik [594]

we have

$y> -3x+2$

The solution is the shaded area above the dotted line

we know that

If a point is a solution of the inequality, then the coordinates of the point must satisfy the inequality

We will verify all cases to determine the solution of the problem

Case A) Point $(0,2)$

$x=0\\y=2$

Substitute the value of x and y in the inequality and verify

$2> -3*0+2$

$2>2$ -------> is not true

therefore

the point $(0,2)$ is not a solution of the inequality

Case B) Point $(2,0)$

$x=2\\y=0$

Substitute the value of x and y in the inequality and verify

$0> -3*2+2$

$0>-4$ -------> is true

therefore

the point $(2,0)$ is a solution of the inequality

Case C) Point $(1,-2)$

$x=1\\y=-2$

Substitute the value of x and y in the inequality and verify

$-2> -3*1+2$

$-2>-1$ -------> is not true

therefore

the point $(1,-2)$ is not a solution of the inequality

Case D) Point $(-2,1)$

$x=-2\\y=1$

Substitute the value of x and y in the inequality and verify

$1> -3*(-2)+2$

$1>8$ -------> is not true

therefore

the point $(-2,1)$ is not a solution of the inequality

therefore

the answer is the Point B

$(2,0)$

To better understand the problem see the attached figure

7 0

2 years ago

Read 2 more answers

You deposit $25,000 into a bank that pays % 4 annual interest compounded monthly.

natima [27]

Answer

A: $28,000

B: 15 years

Step-by-step explanation:

A: Since $25,000 is deposited in the bank and you earn 4% interest annually over 3 years you would earn 12% interest. 12% of 25,000 is 3,000. The sum of 25,000 and 3,000 is 28,000 having you earn $28,000 over 3 years.

B: Since every year you earn 4% annual interest and you have $25,000 deposited in the bank you have to find what percentage of 25,000 equals 15,000. Since 25,000 isn't exactly easy to find multiply it by 4. That leaves you with 100,000 which we know you don't have in the bank but it will make it easier to find the percentage. You will also have to multiply 15,000 by 4 giving you 60,000. Now divide the 60,000 by 1,000 which equals 60. What's the point of the number 60? Well, that's the percentage it takes. Now divide 60 by the annual interest which is 4 and that gives you 15. 15 is the number of years it will take for the balance to reach $40,000.

Hope this helps!

7 0

2 years ago