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3 years ago

The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function

Mathematics

2 answers:

blondinia [14]3 years ago

7 0

⭐Hola User_______________

⭐Here is your Answer. ...!!

_______________________

↪Actually welcome to the concept of the Graphs ..

↪Basically the given half graph is a parabolic graph of equation

↪y^2 = 4ax ...

↪thus the 3 graph option is the completion of the graph in the question ..

↪Option d.)

_________________________

STALIN [3.7K]3 years ago

4 0

<h2>Answer:</h2>

Option: d is the correct answer.

<h2>Step-by-step explanation:</h2>

We know that a even function is a function that satisfy the symmetry relations.

The graph of a even function is symmetric about the y-axis.

i.e. when the graph f such a function is reflected about the y-axis then it remains unchanged.

From the given graphs we see that the graph of an even function is represented by: Graph d.

( Since when graph d is reflected across the y-axis then the graph remains unchanged)

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The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?

Lady bird [3.3K]

The speed of this:
70 miles per hour

1 hour = 60 minutes

70/60 = 7/6

around 1 1/6 mile per minute

hope this helps

7 0

3 years ago

What is the y-value of the point of intersection of y=2sinx-cosx and y=cosx over the interval 0≤x≤pi/2 ? a. 0 b. (square root of

horsena [70]

We have that

<span>y=2sinx-cosx
y=cosx
</span>over the interval 0≤x≤pi/2-------> 0≤x≤1.57

using a graph tool
see the attached figure

the solution in the given interval is the point (pi/4, 0.707)
the y-value of the point of intersection is 0.707 -----> √2/2

the answer is the option
<span>b. (square root of 2)/2</span>

7 0

3 years ago

Read 2 more answers

I'm reasking a previous question to make it more clear. This is a Linear Equation that I must solve. It includes fractions (the

Ugo [173]

Assuming the equation is:

$\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)$

When fractions involve numeric denominators, the fractions can be removed by multiplying (both sides) by the LCM of the denominators.

Here the denominators are 2 and 10, hence the LCM is 10.

Multiply by 10 on both sides, not forgetting to distribute when multiplying on the right side:

$10\frac{x}{2}-10\frac{10x-25}{10}=10*3(x+3)-10(x-14)$

simplify, remember that there are always implied parentheses around numerators and denominators:

$5x-(10x-25)=30(x+3)-10(x-14)$

Now, distribute, i.e. remove parentheses and distribute:

5x-10x+25=30x+90-10x+140

Simplify

-5x+25=20x+230

transpose terms

25-230=20x+5x

solve

x=-205/25=-41/5

In this particular case, we can also take advantage of the term

(10x-25)/10=5(2x-5)/10=(2x-5)/2 which greatly simplifies the solution process, because the LCM will then be 2 instead of 10.

If we do that, the solution will be:

Multiply by 2 on both sides, not forgetting to distribute when multiplying on the right side:

$\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)$

simplify, remember that there are always implied parentheses around numerators and denominators:

$2\frac{x}{2}-2\frac{2x-5}{2}=2*3(x+3)-2(x-14)$

$x-(2x-5)=6(x+3)-2(x-14)$

Now, distribute, i.e. remove parentheses and distribute:

$x-2x+5=6x+18-2x+28$

Simplify

-x+5=4x+46

solve

5-46=4x+x

-41=5x

x=-41/5

with the same results.

7 0

4 years ago

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

3 years ago

Rice weighing 3 3/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?

IRINA_888 [86]

Answer:

Solution

To solve the problem first we have simplify the improper fraction.

⇒ 33/4 ÷ 4 pounds.

= (4 × 3 + 3) /4 ÷ 4 pounds.

= 15/4 ÷ 4 pounds.

= 15/4 × 1/4 pounds.

= 15/16 pounds.

Now we know that, 1 pound = 16 ounces.

Therefore, 15/16 pounds .

= 15/16 × 16 ounces.

= 15/1

= 15

= 15 ounces.

Answer: 15 ounces.

4 0

2 years ago

Read 2 more answers