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3 years ago

Whats the missing varible for the following questions

Mathematics

1 answer:

marta [7]3 years ago

7 0

Answers + Explanation:

1. x + 7 =10

if you know some number + 7 is 10, you know that number must be 3.

so, x = 3

the other way you can solve this would be:

x + 7 = 10

subtract 7 from both sides of the equation

x + 7 - 7 = 10 - 7

x = 3

2. Use the same strategy:

x - 8 = -5

add 8 to both sides of the equation

x - 8 + 8 = -5 + 8

x = 3

3. x + 3 = 6

subtract 3 from both sides of the equation

x + 3 - 3 = 6 - 3

x = 3

4. x + 6 = 3

subtract 6 from both sides of the equation

x + 6 - 6 = 3 - 6

x = -3

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The given function is

$f(x)=4\cos \text{(}\pi x)+1$

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c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

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c = 0

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Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

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Minimum = -3

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1 year ago

Equivalent (-1)+10+9 please

vagabundo [1.1K]

Answer:

Step-by-step explanation:

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3 years ago

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18bags
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4 years ago

A salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality correctly represents the total sales if th

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Answer:

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Step-by-step explanation:

Let x be the total monthly sales.

We have been given that a salesperson earns a salary of $700 per month plus 2% of the sales. The salesperson want to have a monthly income of at least $1800.

This means that 700 plus 2% of total monthly sales should be greater than or equal to 1800. We can represent this information in an equation as:

$700+(\frac{2}{100})x\geq 1800$

$700+0.02x\geq 1800$

Let us solve our inequality to find the monthly sales (x).

Subtract 700 from both sides of our inequality.

$700-700+0.02x\geq 1800-700$

$0.02x\geq 1100$

Divide both sides of inequality by 0.02.

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3 years ago

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Answer:

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Whats the missing varible for the following questions ​

Whats the missing varible for the following questions