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2 years ago

Multiply 5x2(2x2 + 13x − 5). 10x4 + 65x3 − 25x2 10x2 + 65x − 25 7x2 + 18x − 10 7x4 + 18x3 − 10x2

Mathematics

2 answers:

Jet001 [13]2 years ago

6 0

You have to distribute. i think the answer is 10x^4+65X^3-25X^2

Dmitrij [34]2 years ago

5 0

Answer:

$10x^4+65x^3-25x^2$

Step-by-step explanation:

Multiply 5x^2(2x^2 + 13x − 5)

$5x^2(2x^2 + 13x - 5)$

Multiply 5x^2 inside the parenthesis

$5x^2 * 2x^2 = 10x^4$

$5x^2 * 13x = 65x^3$

$5x^2 * (-5) = -25x^2$

Collect all the terms together

$10x^4+65x^3-25x^2$

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1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75

natita [175]

Answer:

(a) The variables are y which represent total cost and x which represent the number of ride tickets.

(b) Linear equation = y = 1.25x + 12.50.

(c) Total cost (y) is the sum of total amount spent on the ride tickets and price of fair admission. Therefore, if a person buy x number of ride tickets having the price $ 1.25 per ride ticket, then the total amount spent by the person on x tickets is 1.25x.The Price of fair admission is 12.50 dollars which is same for everyone.

Step-by-step explanation:

Let the total cost be y and number of ride tickets be x.

Price of one ride ticket = $ 1.25

Total amount spent by Jermaine on 25 rides tickets = 25 × $ 1.25 = 31.25 $

Total amount spent at the fair By jermain= 43.75$

Total amount spent at the fair = Price of fair admission + cost of 25 ride tickets

Price of fair admission = Total amount spent at the fair - cost of 25 ride tickets

Price of fair admission = 43.75$ - 31.25 $ = 12.50$

Now,

Price of one ride ticket = $ 1.25

Price of fair admission per person = 12.50$

So, linear equation that represent the total cost of a person who only pays for ride tickets and fair admission:

y = 1.25x + 12.50.

where y is the total cost, x is the number of tickets for rides bought by any person.

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2 years ago

Consider the point. (2, 4, 5) What is the projection of the point on the xy-plane? (x, y, z) = What is the projection of the poi

Karolina [17]

Answer:

Step-by-step explanation:

Given is a point (2,4,5) in 3 dimension.

a) The projection of the point on xy plane would be with coordinate z=0 and same x,y coordinates

i.e. (2,4,0)

Similarly projection xz plane would be (2,0,5)

and projection on yz plane is (0,4,5)

If (2,4,5) is opposite vertex and faces are parallel to the coordinate planes

we would have the sides as xy plane yz plane and zx plane with extreme vertex as (2,4,5)

So all the 6 vertices would be

(0,0,0) (0,4,5) (2,0,5) (2,4,0) (0,4,0) (0,0,5) and (2,0,0),(2,4,0)

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2 years ago

Matthew manages the packaging department of his company. Yesterday, the department operated for only 4 hours due to a company pi

yKpoI14uk [10]

Alright, lets get started.

If Matthew wants to complete packages at an average rate of at least 39 packages per hour.

And they worked 4 hrs only due to picnic, yesterday, it means they have to make $39*4 = 156$ packages.

But they made only 112 packages means they are short of $156 - 112 = 44$ packages.

Suppose they are working today t hrs, and his department will complete 43 packages per hour today.

It means they are going to make 43 t packages today.

This 43 t packages includes those 44 too , which they are short of yesterday due to picnic.

So, average will be

$\frac{43 t - 44}{t} = 39$ (39 average given in question)

Cross multiplying

$39 t = 43 t - 44$

Adding 44 in both sides

$39 t + 44 = 43 t - 44 + 44$

$43 t = 39 t + 44$

Subtracting 39 t in both sides

$43 t - 39 t = 39 t + 44 - 39 t$

$4t = 44$

Dividing 4 in both sides

t = 11 hrs

Hence they have to woth 11 hrs today : Answer

Hope it will help :)

3 0

2 years ago

Read 2 more answers

If ray JG is an angle bisector of ∠FJH, find m∠FJH.

miss Akunina [59]

Answer:

m∠FJH=60°

Step-by-step explanation:

The complete question is

JG bisects FJH, FJG= (2x + 4)° and GJH = (3x -9)°

What is FJH

we know that

m∠FJH=m∠FJG+m∠GJH -----> equation A

If ray JG is an angle bisector of ∠FJH

then

m∠FJG=m∠GJH -----> equation B

substitute the given values in equation B and solve for x

(2x + 4)°=(3x -9)°

3x-2x=4+9

x=13

Find the measure of angle FJH

m∠FJH=(2x + 4)°+(3x -9)°

substitute the value of x

m∠FJH=(2(13) + 4)°+(3(13) -9)°

m∠FJH=(30)°+(30)°

m∠FJH=60°

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2 years ago

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MrRa [10]

Incomple question. However, here's the remaining part of the question:

2009

Meadow Fritillary= 5

Variegated Fritillary= 7

Zebra Swallowtail= 33

Eastern-Tailed Blue= 242

Louden County Butterfly Count

2010

Meadow Fritillary 34

Variegated Fritillary 95

Zebra Swallowtail 21

Eastern-Tailed Blue 168

2011

Meadow Fritillary

Variegated Fritillary

Zebra Swallowtail

Eastern-Tailed Blue

170

Options:

A) All butterfly populations are steadily decreasing.

B)All butterfly populations were larger than usual in 2010.

C)The Eastern-Tailed Blue butterfly is more common than the others.

D)The Meadow Fritillary is equally common as the Variegated Fritillary

Answer:

C

Step-by-step explanation:

Looking through the above count data by Louden County Wildlife Conservancy from 2009 to 2011 we notice the Eastern- Trailed Blue butterfly has a higher count, which implies that the Eastern-Tailed Blue butterfly is more common than the other butterflies.

Therefore, we could infer from the samples, that the Eastern-Tailed Blue butterfly is more common than others from the records of the past 3 three years.

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2 years ago