You sent 85 text messages in one month. the total cost is $5.1. how much does each text message cost?

Mathematics

1 answer:

tresset_1 [31]2 years ago

7 0

5.10÷85=$0.06<---

check your answer
85×0.06=$5.10

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Given cosine of x is equal to negative square root of 3 over 2 comma what is the value of cos(x π)?

slamgirl [31]

Value of cos(x+π) = $\bold{\frac{\sqrt{3} }{2}}$

Given cosine of x = $-\frac{\sqrt{3} }{2}$

i.e., cos(x) = $-\frac{\sqrt{3} }{2}$

Also cos( $\frac{\pi}{6}$ ) = $\frac{\sqrt{3} }{2}$ . So x = $\frac{\pi}{6}$ .

We need to find cos(x+π) = cos( $\frac{7\pi}{6}$ ).

But its value is not easy to find. So we use trigonometric formulas.

We have the trigonometric formula, cos (x+π) = - cos(x) = - $-\frac{\sqrt{3} }{2}$ = $\bold{\frac{\sqrt{3} }{2}}$

Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).

Learn more about Cos(x+π) trigonometric formula at brainly.com/question/12243383

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7 0

1 year ago

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in

kogti [31]

Part (1):
To get the x-intercepts, we will need to equate the equation to zero and solve for x.
For the parent function, we have:
x² = 0
x = 0
Therefore, the function intersects the x-axis at one point which is the origin.

For the image function we have:
-x² - 5 = 0
x² = -5
x = √-5 which does not exist in real numbers
This means that the image function does not intersect the x-axis at all.

Based on the above, the parent function has one x-intercept while the image one doesn't have any x-intercepts.

Part (2):
I have attached the image containing the two functions , the parent one as well as the image.
As we can note, two changes occurred to the parent function in order to form the image:
1- The parabola was flipped to be pointing downwards instead of pointing upwards
2- The vertex was translated 5 units downwards to be at (0,-5) instead of (0,0)