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zlopas [31]
4 years ago
14

PLZ HELP

Mathematics
1 answer:
MrRissso [65]4 years ago
8 0
Number 1 is D, and number 2 is B.
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The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes)
Ivan

Answer: the remaining credit after 79 minutes of call is $15.52

Step-by-step explanation:

let x represent the number of minutes of call.

Let y represent the remaining credit after x minutes of call.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (17.2 - 19.84)/(65 - 43)

m = - 2.64/22 = - 0.12

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = intercept

m = slope

To determine the intercept, we would substitute x = 65, y = 17.2 and m = - 0.12 into y = mx + c. It becomes

17.2 = - 0.12 × 65 + c

17.2 = - 7.8 + c

c = 17.2 + 7.8

c = 25

The linear function becomes

y = - 0.12x + 25

Therefore, the remaining credit after 79 minutes of call is

y = - 0.12 × 79 + 25

y = - 9.4 + 25

y = 15.52

6 0
3 years ago
Evaluate the expression for x=5, y=-3 and z=7<br> (x2 – z) (22+5)
Contact [7]

Answer:

81

Step-by-step explanation:

Hello! Thanks for letting me answer your question! If you have any more questions feel free to ask me! If not, Have a WONDERFUL day and Please don't forget to consider making me Brainliest on your question today!

7 0
4 years ago
ben has 165 pictures he puts 6 pictures on each page of a photo album. how many pages of the album did ben fill? how many pages
ladessa [460]

Answer:

The answer is 165/6, or 27 and one half.

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
If sin theta = 8/17 and cot theta &lt; 0, what is sec theta?
klasskru [66]

Answer:

-\frac{17}{15}

Step-by-step explanation:

By definition, \cot \theta=\frac{1}{\tan \theta} and \sec \theta=\frac{1}{\cos \theta}. Since since \cot \theta is negative, \tan \theta must also be negative, and since \sin \theta is positive, we must be in Quadrant II.

In a right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. The cosine of an angle in a right triangle is equal to its adjacent side divided by the hypotenuse. Therefore, we can draw a right triangle in Quadrant II, where the opposite side to angle theta is 8 and the hypotenuse of the triangle is 17.

To find the remaining leg, use to the Pythagorean Theorem, where a^2+b^2=c^2, where c is the hypotenuse, or longest side, of the right triangle and a and b are the two legs of the right triangle.

Solving, we get:

8^2+b^2=17^2,\\b^2=17^2-8^2,\\b^2=\sqrt{17^2-8^2}=\sqrt{225}=15

Since all values of cosine theta are negative in Quadrant II, all values of secant theta must also be negative in Quadrant II.

Thus, we have:

\sec\theta=\frac{1}{\cos \theta}=-\frac{1}{\frac{15}{17}}=\boxed{-\frac{17}{15}}

6 0
3 years ago
How can I find the area of this figure?​
motikmotik

Answer:

Area = y² + 2x + 1

Step-by-step explanation:

You have to combine like terms:

The little square is 1 unit, so 1

The two bars are each worth x, so 2 * x = 2x

The big square is y²

The total area is the sum of all terms:

Area = y² + 2x + 1

-Chetan K

5 0
3 years ago
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