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3 years ago

Graph the data x+9=14

1 answer:

8 0

This graph will form a vertical line.

by isolating the variable “x” on one side of the equation by subtracting 9 on both sides, you get the final equation of:

x=5.

find “5” on the x-axis and plot a vertical line.

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Find the surface area of a sphere with radius 15 in

stiks02 [169]

radius -15

Surface Area of a sphere =4πr^2

=4x22/7x15x15

=19800/7

=2828.57

4 0

1 year ago

a student has test scores of 92%, 87%, and 78%. what must she need to score on thenlast test to maintain 80% or better?

SIZIF [17.4K]

We'll solve this equation in order to find the score of the 4th test, which we denote with x. $\frac{92+87+78+x}{4}=80$ . Solving it we find that x=63. And it is the final answer for this problem.

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4 years ago

Do not round your answer. Type in just the number. 3 is 15% of what number?

ivanzaharov [21]

3 is 15% of what number...

3 = 0.15x
3 / 0.15 = x
20 = x <=== 3 is 15% of 20

4 0

4 years ago

A slice of cheese is shaped like a right triangle, with a hypotenuse of 25 mm and a height of 24 mm. How wide is the cheese?

Firlakuza [10]

7 mm wide

To solve this, you can use the Pythagorean theorem.

A triangle's sides is length squared + length squared = hypotenuse squared. We know the hypotenuse and one side of the triangle. So, we can follow the equation 24 squared + x squared = 25 squared

To solve this, find the value of 24 squared and 25 squared. 24 squared = 576, and 25 squared = 625, so your equation becomes 576 + x squared = 625

Next, you subtract your known values. 576 + x squared – 576 = 625 – 576 = 49, so x squared = 49

For the last step, find the square root (√) of 49, which is 7. So x = 7 mm

And you can check: 24 squared + 7 squared = 25 squared

7 0

4 years ago

What are the domain and range of the function f(x)= square rootx-7+9?

FinnZ [79.3K]

Answer:

Domain: [7, ∞)

Range: [9, ∞)

Step-by-step explanation:

1) This question may be easily answered if you are aware of the shape of the graph of sq. root x, and the effect of translations to graphs.

1. x - 7 means that the original graph is translated 7 units in the positive direction of the x-axis (ie. to the right), thus the minimum value for x is also shifted from 0 to 7

2. the + 9 means that the graph is translated 9 units in the positive direction of the y-axis (ie. up), thus the minimum y-value is also shifted from 0 to 9

3. We know that the graph will continue to infinity, both in the x- and y-direction

Thus, the domain would be [7, ∞) and the range [9, ∞)

2) Another way to think about it is to ask yourself when it would make sense for the graph to exist. For this, we must consider that you cannot take the square root of a negative number.

Thus, if we have the square root of (x - 7), for what value of x would (x - 7) be negative? If x = 7:

x - 7 = 7 - 7 = 0

Therefor, any x-value less than 7 will lead to a negative answer, which wouldn't be practical. Any value equal to or greater than 7 will lead to a positive answer, thus the permissible values for x are from 7 to infinity, and so the domain is [7, ∞) (note that square brackets are used for 7 as it is included in the domain, whereas infinity is always closed with round brackets).

If we have already found the domain, then we can simply substitute the values for this into the equation to obtain the range (note that this will work for a square root function, however some functions will have turning points and in this case you must calculate the range based on the turning points as well as the minimum and maximum x-values):

if x = 7: y = sq. root (7-7) + 9

= 9

This is the minimum value for y

if we have x = ∞, then the y value will also be infinitely great, therefor the maximum y-value is also ∞. Thus, the range is [9, ∞).

These questions are much easier to solve however if you are already aware of the basic graph and the effect of dilations, translations and reflections so that you may visualise it better.

4 0

4 years ago