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3 years ago

How do you do this in simplest form

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

3 0

Answer:

3/10

Step-by-step explanation:

The LCD of these two denominators 10 and 4 is 20; 20 is the smallest integer divisible by both 10 and 4.

Rewriting the problem, we get:

16 10 6

---- - ----- = ------ = 3/10

20 20 20

Note that we could write 2/4 as 1/2 or as 5/10. If we write 5/10, then we have:

8/10 - 5/10 = 3/10 (same answer as before)

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Determine o período e o conjunto imagem, construindo o gráfico de um período completo para cada função dada.a) por f(x) = 1+ 4 s

nataly862011 [7]

Answer:

The given functions are

$f(x)=1+4sinx$

$f(x)=2sin(x-3)$

The sine function has a standard period of $2 \pi$ by definition. However, this might change if we use a factor as coefficient of the x-varible, but in this case we don't have that.

Therefore, the period of both trigonometric functions is $2 \pi$ .

Now, the images of each function is the y-variable set values that defines each function.

So, the function $f(x)=1+4sinx$ has an image defined by the set $[-3,5]$ . It's impotant to notice that the range of a standard function is [-1,1], however, in this case, the function was shifted 1 unit up and it was streched by a factor of 4, that's why the standard image changes to $[-3,5]$ .

About the second function $f(x)=2sin(x-3)$ , the image set is $[-2,2]$ , because the function was streched by a factor of 2.

Additionally, the image attached shows the graph of the given functions.

7 0

3 years ago

Y = -3<br> x - 5y = 7<br> I have the answer I don’t know how to show my work

Leno4ka [110]

Answer:

Step-by-step explanation:

To use substitution in this problem, you find the Y which ='s -3. That we have clear. Now, the second equation becomes x - 5(-3) =7. A negative times a negative is a positive, so 15. Now, we have x + 15 = 7. Subtract 15 from 7 to get x = -8. Your coordinates, or your answer, will be (-8, -3)

8 0

2 years ago

Read 2 more answers

Text the answer 770-765-3026

Andre45 [30]

Answer:

A proportional relationship is there.

Step-by-step explanation:

Here in the table, the values of y are given corresponding to the values of x.

There are four sets of values of x and y.

We have to check whether the relationship is proportional or not.

Now, rate of change of y with respect to x will be from the first two pair of values is = $\frac{3.5 - (-1)}{-2 - (-8)} =0.75$

Again, rate of change of y with respect to x will be from the second two pair of values is = $\frac{12.5 - 3.5}{10 - (-2)} =0.75$

And, rate of change of y with respect to x will be from the third two pair of values is = $\frac{20-12.5}{20 - 10} =0.75$

So, the rate is always 0.75.

Therefore, a proportional relationship is there. (Answer)

6 0

3 years ago

Read 2 more answers

Alex bought 4 hoodies. Each hoodie cost the same amount and they were on sale for $5 off each. Alex paid a total of $120. How mu

vladimir2022 [97]

Total price equals 4 hoodies times (original price minus $5).

x= original hoodie price

$120= 4(x-5)
Use distributive property to multiply
120=(4*x) - (4*5)
120= 4x - 20
Add 20 to both sides
140=4x
Divide both sides by 4
$35= x

Original hoodie price was $35.

Hope this helps! :)

8 0

3 years ago

3. ** Over the course of July, the high temperatures of 6 random days were collected. The data is 2 shown below. 84°F 92°F 79°F

Tresset [83]

Given data:

The given table.

The expression for the average temperature is,

$\begin{gathered} 86^{\circ}F=\frac{84^{\circ}F+92^{\circ}F+79^{\circ}F+x+82^{\circ}F+93^{\circ}F}{6} \\ 516^{\circ}F=430^{\circ}F+x \\ x=86^{\circ}F \end{gathered}$

Thus, the value of x is 86 degree Fahrenheit.

7 0

1 year ago