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3 years ago

Use the remainder theorem to determine the remainder when 3t2 + 5t − 7 is divided by t − 5.

Mathematics

1 answer:

Rom4ik [11]3 years ago

3 0

given :-

p(t) = 3t^2 - 5t - 7

g(t) = t - 5

=> t = 5

on putting values..

p(5) = 3(5)² + 5(5) - 7

= 3(25) + 25 - 7

= 75 - 18

= 57

hence, the remainder is 57.

D. 57 is the correct option

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Bryan’s monthly electric bill is determined by adding a flat administration fee to the product of the number of kilowatt hours o

rewona [7]

We will form the equations for this problem:

(1) 1100*y + z = 113

(2) 1500*y + z = 153

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Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.

Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.

The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:

(1) 1100*y + z = 113

(2) 1500*y + z = 153

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(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:

(2) 1500*y + (113 - 1100*y) = 153

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(1) z = 113 - 1100*y

(2) 1500*y + 113 - 1100*y = 153

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(1) z = 113 - 1100*y

(2) 400*y + 113 = 153

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(1) z = 113 - 1100*y

(2) 400*y = 153 - 113

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(1) z = 113 - 1100*y

(2) 400*y = 40

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(1) z = 113 - 1100*y

(2) y = 40/400

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(1) z = 113 - 1100*y

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3 years ago

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zmey [24]

The largest consecutive integers whose sum is less than 46 are x= 21 and x+1=22

Step-by-step explanation:

Let the integers be:

x and x+1

The sum of these integers is less than 46

$x+(x+1)$

Solving and finding value of x:

$x+(x+1)$

So, the integers will be less than 22.5

The largest numbers are: 21 and 22

So, the largest consecutive integers whose sum is less than 46 are x= 21 and x+1=22

Keywords: Finding integers

Learn more about finding integers at:

#learnwithBrainly

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An airplane travels 6032 kilometers against the wind in 8 hours and 7312 kilometers with the wind in the same amount of time. Wh

Vladimir79 [104]

Answer:

The rate of plane in still air is 834 km/hr and the rate of wind is 80 km/hr.

Step-by-step explanation:

The airplane travels 6032 km in 8 hours against the wind.

So, $u -v = \frac{6032}{8} = 754$ ........ (1) {Where u is the speed of plane in still air and v is the wind speed}

Again, the airplane travels 7312 km in 8 hours with the wind.

So, $u +v=\frac{7312}{8} =914$ ........ (2)

Now, adding equations (1) and (2) we get,

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So, from equation (1), we get

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