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3 years ago

Which of the following is the graphed below

Mathematics

1 answer:

choli [55]3 years ago

8 0

Answer:

$A.\:y=\left \{ {{x^3-3,x\le2} \atop {x^2+6,\:x>2}} \right.$

Step-by-step explanation:

The quadratic function has equation $y=x^2+6$ and the cubic function has equation $x^3-3$ .

The function $y=x^2+6$ is defined on the interval $x\:>\:2$ .

The function $y=x^3-3$ is defined on the interval $x\:\le 2$

The required piece-wise function is

$y=\left \{ {{x^3-3,x\le2} \atop {x^2+6,\:x>2}} \right.$

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A pancake recipe requires 1 & 2/3 cups of flour to make 20 pancakes and you have 9 cups of flour. How many pancakes can you

wolverine [178]

Answer: 108 pancakes

Step-by-step explanation:

if you make 20 pancakes with 1 and 2/3 of flour,

with 9 cups you will make

(20*9)/ 1 &2/3

1 2/3= 5/3 we enter the whole in the fraction

(180)/(5/3)= 180*3/5=108 pancakes

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3 years ago

6 + x is an example of _____. a formula a constant a variable an expression

PtichkaEL [24]

Answer:

it is an example of an expression

Step-by-step explanation:

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5 0

3 years ago

What is the location of the point (5, 0) translates 4 units to the down and reflected across the y-axis?

CaHeK987 [17]

STEP-BY-STEP EXPLANATION:

Given information

The given ordered point = (5, 0)

Step 1: We need to translate the point 4 units down

To translate down means we will be subtracting a value from the y--axis

Hence, we have

$\begin{gathered} (x,\text{ y) }\rightarrow\text{ (x, y-b)} \\ \text{where b = 4} \\ (5,\text{ 0) }\rightarrow\text{ (5, 0 - 4)} \\ (5,\text{ 0) }\rightarrow\text{ (5, -4)} \end{gathered}$

When translated 4 units down, we got (5, -4)

Step 2: Reflect over the y-axis

The general rule for reflecting over the y-axis is (-x, y)

This means the value of x will be negated and the value of y will remain the same

$\begin{gathered} \text{Over the y-ax}is \\ (x,\text{ y) }\rightarrow\text{ (-x, y)} \\ (5,\text{ -4) }\rightarrow\text{ (-5, -4)} \end{gathered}$

Step 3: the graph the point

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1 year ago

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that

aivan3 [116]

The situations can be represented by the exponential function f(x)=60x1.15^x
After 7.86 years the value of the investment will be three times the initial value (If you round to the nearest dollar)
After 8 years the value of the investment will be $184.00 (If you round to the nearest dollar)

3 0

3 years ago

Read 2 more answers

What can you say about the sum of consecutive odd numbers starting with 1? that is, evaluate 1, 1c3, 1c3c5, 1c3c5c7, and so on,

Mice21 [21]

Let us add consecutive odd numbers and try to find any relationship.

1. 1

2. 1+3 = 4 ( square of 2 i.e $2^{2}$ )

3. 1+3+5 = 9 ( $3^{2}$ )

4. 1+3+5+7 = 16 ( $4^{2}$ )

5. 1+3+5+7+9 = 25 ( $5^{2}$ )

6. 1+3+5+7+9+11 = 36 ( $6^{2}$ )

7. 1+3+5+7+9+11+13 = 49 ( $7^{2}$ )

If we notice, the sum of the consecutive odd integers in each case is equal to the square of the place where it lies. For example, the sum of numbers in seventh place is equal to $7^{2}$ . The sum of the numbers in the fifth line is equal to $5^{2}$ .

4 0

3 years ago