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Gennadij [26K]
3 years ago
14

Carl tells his friend Logan about a new music download service. Carl says that if you download x collections per month, your mon

thly cost will be 2(x + 10). Logan says the cost will be 2(x + 5). Who is correct? A. Only Carl is correct. B. Only Logan is correct. C. Both Carl and Logan are correct. D. Both Carl and Logan are incorrect
Mathematics
2 answers:
mariarad [96]3 years ago
5 1

Answer:

D. Both Carl and Logan are incorrect. I got it right.

Step-by-step explanation:

harkovskaia [24]3 years ago
3 0
D.Both Carl and Logan are incorrect
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Write an equation of a line that is perpendicular to the line y = 3/2x + 3 and goes through the point (-3, -8). Hint: Use the po
JulijaS [17]
Point-slope form looks like this: y - k = m(x - h) where m is the slope, k is the y-value and h is the x-value. For (-3, -8), -3 would replace h and -8 would replace k.

Slope-intercept form looks like this: y = mx + b where m is the slope and b is the y-value.

To solve the problem we must plug in the given coordinate and slope to the point-slope formula then change the point-slope form into slope-intercept form. But first we need to know what the slope is.

If a line is perpendicular to another line, their slopes are negative reciprocals of each other. So with the line y = 3/2x + 3, the slope for another line that is perpendicular has to be -2/3 because we switched the numerator and denominator and made it from positive to negative.

Now that we know the slope and the given coordinate, we can start solving.

Plug the givens into the point-slope formula y - k = m(x - h).
y - (-8) = -2/3(x - (-3))
y + 8 = (-2/3*x) - (-2/3*-3)
y + 8 = -2/3x + 2 Now we can convert the equation to slope-intercept form.
y + 8 - 8 = -2/3x + 2 - 8 Remember that what we do on one side we must do one the other, so we subtract 8 on the left <em>and </em>right to get y by itself.
y = -2/3x - 6 This equation is now in slope-intercept form y = mx + b, so this is the final result.

I hope this explanation made sense. If there is anything that I made look confusing, feel free to tell me and I'll try my best to explain!
8 0
3 years ago
What is the answer to: y= 2x^2+6 axis of symmetry and vertex?
Leto [7]

Answer:

v (0,6) and it's symmetrical to y axis

6 0
3 years ago
Write 0.24 as a fraction in simplest form
guapka [62]
The answer is 24/100
4 0
3 years ago
The rate of change from 23 to 30 is
____ [38]

Answer:

7

Step-by-step explanation:

8 0
3 years ago
A rocket is launched from the top of a 99-foot cliff with an initial velocity of 122 ft/s.
Harman [31]
Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:
0=-16 t^{2} +122t+99
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
-99=-16 t^{2} +122t+99
-16 t^{2} +122+198=0

Now we can apply the quadratic formula t= \frac{-b+or- \sqrt{ b^{2} -4ac} }{2a} where a=-16, b=122, and c=198
t= \frac{-122+or- \sqrt{ 122^{2}-(4)(-16)(198) } }{(2)(-16)}
t= \frac{-122+ \sqrt{27556} }{-32} or t= \frac{-122- \sqrt{27556} }{-32}
t= \frac{-122+166}{-32} or t= \frac{-122-166}{-32}
t= \frac{-11}{8} or t=9

Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
5 0
3 years ago
Read 2 more answers
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