Is the following a function?

Answer:

Solving the expression  [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex] we get [tex]\mathbf{7^{\frac{2}{15}}}[/tex]

Option D is correct option.

Step-by-step explanation:

We need to solve the expression: [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex]

We know that

[tex]\sqrt[3]{x}=x^{\frac{1}{3}[/tex] and [tex]\sqrt[5]{x}=x^{\frac{1}{5}[/tex]

Using above rule:

[tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }\\=\frac{7^{\frac{1}{3}}}{7^{\frac{1}{5}}}[/tex]

Now, we know the exponent rule if bases are same and divided then exponents are subtracted i.e:  [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

Using the exponent rule

[tex]=7^{\frac{1}{3}-\frac{1}{5} }\\Simplifying\:exponents\\=7^{\frac{5-3}{15}}\\=7^{\frac{1*5-1*3}{15}}\\=7^{\frac{2}{15}}[/tex]

So, solving the expression  [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex] we get [tex]\mathbf{7^{\frac{2}{15}}}[/tex]

Option D is correct option.

Answer:

-4 + 12x = 80

11x + 3 = 80

Step-by-step explanation:

-4 + 12x

-4 + 12 (7)

-4 + 84

80

11x + 3

11 (7) + 3

77 + 3

80

Answer:

The oil will cost 3.76.

Sid paid 76.26.

Step-by-step explanation:

2.15 * 0.75 = 1.61

1.61 + 2.13 = 3.76

62*0.15 = 9.30

62*0.08 = 4.96

Answer:

there is no picture

Step-by-step explanation:

Step-by-step explanation:

I'm going to explain this in standard slope intercept form (y=mx+b) because it is easiest for this situation. I will also include converting it to point slope form. I will also show how to do straight into point slope form if you find that more helpful.

First thing is to identify difference in x and y in both points. From point 1 to point to, the x changes -4 and the y changes +4. We can rapresent this in rise over run fraction

[tex] \frac{4}{ - 4} = - 1[/tex]

So the slope is -1 because the slope is the simplified rise over run fraction.

Our next step is to find the y-intercept. This is easy because the first point is the y-intercept, so -3 is our y-intercept.

Now we know the equation.

[tex]y = - x - 3[/tex]

All we have to do now is convert it into point-slope form. So here is point slope form: y + y1 = m(x + x1). Y1 is the y-intercept and m is the slope.

[tex]y - 3 = - 1(x + x1)[/tex]

So x1 is the x intercept, so to find this you find the x value when y is 0. You can do this by using the standard form I've done because it is easiest.

[tex]0 = - x - 3 \\ x = - 3[/tex]

So when y is 0, then x is -3. Here is the complete point slope form of the line.

[tex]y - 3 = - 1(x - 3)[/tex]

-----------------------------------------------------

To put the line directly into point slope for you need to find the slope, y-intercept, and x-intercept and place the values in accordingly. If you aren't given the y-intercept and x-intercept straight away it can be difficult for some putting it directly in point slope form. That is why I recommend putting it into standard form then point-slope form.

Answer:

y=-1x-3

Step-by-step explanation:

First, you have to find the slope using the formula I attached. Using this formula, you will subtract the second y from the first y, which is 1-(-3) for this problem. That equals 4, so that will be the numerator of the slope. Next, you have to subtract the second x from the first x, which is -4-0 for this problem. That equals -4, so that will be the denominator for this slope. the fraction now is [tex]\frac{4}{-4}[/tex], which is -1. The slope is -1. The current equation looks like this: y=-1x+b. Now we can solve for b, or the y-intercept. To do this, you have to use the x and y of one of the coordinates, it doesn't matter which one, the answer will be the same. Use the first one, for example. The x is 0 and the y is -3, so the our equation to find b is -3=-1(0)+b, which is -3=0+b, which is -3=b, or b=-3. So now we know what b is. Now we have to two components we need to write the equation, the slope (-1) and the y-intercept (-3). Now we can write the equation. y=-1x+(-3), or y=-1x-3.

Answer:

The system has infinitely many solutions

Step-by-step explanation:

There are no variables left. And the final equation is correct.

It means the system is going to be correct for any value of variables. So there are infinitely many solutions

Answer:

Step-by-step explanation:

There are two equations in the question

[tex]2x+6y=12\ -->Equation\ 1\\\\x+3y=6\ -->Equation\ 2\\\\[/tex]

If we take 2 common from the first Equation it becomes,

[tex]2(x+3y)=12\\\\x+3y=12/6\\\\x+3y=6\\[/tex]

Now we can see that both the Equations are similar which means they would have the same graph.

Since both the equations have the same equation of line they have infinitely many solutions which means both the lines intersect at each and every point on the line, since both the lines are on top of each other.

We can also see that in Step 4 where 12 = 12 there are no variables in the equation which also means that the work is correct and Sean can say that the system of equations is consistent and dependent which means they have infinite number of solutions

Answer:

38 ft

Step-by-step explanation:

:)

Answer:

32ft

Step-by-step explanation:

Multiply 8 by 3 to get the area of the rectangle. Multiply 4 by 4 and then divide by two to get the area of the triangle.

Finally add them together to get 32ft

Answer:

Step-by-step explanation:

Answer:

C = 10

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = 100

[tex]\sqrt{100}[/tex] = 10

Answer:

131.25 miles

Step-by-step explanation:

if 1 inch equals 25 miles then you need to times 25 by 5.25 and you will get 131.25 miles.

Answer: C) Cannot be done

Taking the square root of a negative number is not possible unless you involve complex numbers. If your teacher has not introduced that topic yet, then you just simply say "cannot be done" or something along those lines.

Answer:

I think that removing (1, 3) would make the most sense

Answer:

(1,3)

Step-by-step explanation:

Because (1,-2) and (1,3) have the same x value, they do not pass verticle line test, so it is not a function.

Answer:

[tex]the \: rational \: number \: is \: \sqrt{100} [/tex]

Step-by-step explanation:

The reason why

[tex] \sqrt{97} [/tex]

isn't a rational number is because, when simplified, it results in 9.848857802.... its decimal doesn't terminate(stop).

The reason why

[tex] \sqrt{98} [/tex]

isn't a rational number is because, when simplified, it results in 9.899494937.... it's decimal doesn't terminate(stop).

The reason why

[tex] \sqrt{99} [/tex]

isn't a rational number is because, when simplified, it results in 9.949874371.... it's decimal doesn't terminate(stop).

The reason why

[tex] \sqrt{100} [/tex]

is a rational number is because, when simplified, it results in 10, its decimal terminates (stops).

Answer:

For example, a common equation, y=mx+b y = m x + b

Step-by-step explanation:

is a linear function because it meets both criteria with x and y as variables and m and b as constants.

Answer:

In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The answer is 11.

Step-by-step explanation:

19-25\19-15

44/4= 11

Answer:

6.92

Step-by-step explanation:

Answer:

=12j−10w+3

Step-by-step explanation:

The first equation will turn into -18x -6y = -18, and the second equation will turn into 14x + 6y = 18. The y terms will cancel out when you add the equations together.

Answer:

A

Step-by-step explanation:

Answer:

D.)

Step-by-step explanation:

The graph is decreasing from left to right therefore as the x values increases the y values are decreasing. You can also say that the graph has a negative slope.

Answer:

write in algorithm and draw a flowchart to calculate the factorial of a number (N). verify your results by a trace table by assuming N=5

Answer:28

Source:trust me bro

Answer:

1/2 x 28 =14       X=28

Step-by-step explanation:

Answer:

-25.44

Step-by-step explanation:

Answer:

slope is 2/3x-2

Step-by-step explanation:

Answer:

the slope of the line is 2/3 so in y=mx+b format you would get y = 2/3x+(-2) or y=2/3x-2

to find it you have to see how many over and how many up you have to go until you hit the line at a specific reaccuring pattern. then you do rise over run (or up over side) to get the slope.

Step-by-step explanation:

i hope this helps :))