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2 years ago

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The equation of a line, written in point-slope form, is y - 4=5(x - 5). What is the slope (m) and a point this line goes through

? a m=5, (-5, -4) b m=5, (-4, -5) c m=5, (5, 4) d m=5, (4, 5)

1 answer:

Sliva [168]2 years ago

4 0

Thrjrhhrhehehababjaoaoaouswgwvmwmsojdbdbxkxx

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A store purchased a DVD for 12.00 and sold it to a costumer for 50 percent more than the purchase price. The costumer was charge

likoan [24]

Answer:

19.26

Step-by-step explanation:

price sold for= 12×150%

= 18

total cost = 18 × 107%

= 19.26

6 0

2 years ago

Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis

guapka [62]

Answer: V = $\frac{64}{3}\pi$

Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:

V = $\pi. y^{2}.$ Δx

Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:

V = $\int\limits^a_b {\pi. y^{2} } \, dx$

Then, for the region generated by y = - x + 4:

V = $\int\limits^4_0 {\pi.(-x+4)^{2} } \, dx$

V = $\pi.\int\limits^4_0 {(x^{2}-8x+16)} \, dx$

V = $\pi.(\frac{x^{3}}{3}-4x^{2}+16x )$

V = $\pi.(\frac{4^{3}}{3}-4.4^{2}+16.4 - 0 )$

V = $\frac{64}{3}.\pi$

The volume of the revolved region is V = $\frac{64}{3}.\pi$

8 0

2 years ago

3f+2g=30 and f+2g=26

tatuchka [14]

3f + 2g = 30 . . .(1)
f + 2g = 26 . . . .(2)

(1) - (2) => 2f = 4 => f = 4/2 = 2

From (2), 2 + 2g = 26 => 2g = 26 - 2 = 24 => g = 24/2 = 12

Therefore, f = 2 and g = 12

7 0

3 years ago

A website received 2500 registered members in July. And the number of registered members in August decreased to 2245. What was t

quester [9]

Number of registrations a website received during July = 2500

Number of registrations a website received during August = 2245

Number by which the registrations decreased :

$=\tt 2500 - 2245$

$=\tt 255$

Thus, the registrations decreased by 255.

Let x be the perrcentage of decrease.

Which means :

$=\tt 255 = \frac{x}{100} \: of \: 2500$

$= \tt255 = \frac{x \times 2500}{100}$

$=\tt 255 = \frac{2500x}{100}$

$= \tt255 \times 100 = 2500x$

$= \tt25500 = 2500x$

$=\tt \frac{25000}{2500} = x$

$\color{plum} =\tt \bold{10.2\%}$

▪︎Thus, the percentage of decrease in the number of registered members = 10.2%

5 0

2 years ago

Quincy has saved $2500 so far to buy a new car in 4 years. He can put this amount into an account, that

devlian [24]

Answer:

he should chose compounded annually because he would have and extra 32.12 dollars at the end of the 4 years

Step-by-step explanation:

hope this helps

5 0

2 years ago