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KengaRu [80]
2 years ago
7

Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)

Mathematics
2 answers:
nikitadnepr [17]2 years ago
7 0
<span>8x+4y+(-8z^2)+[3z+(-5z)] the answer is D</span>
Softa [21]2 years ago
3 0

we are given

(8x+3z-8z^2)+(4y-5z)

we can group x-terms with x and y-terms with y and z terms with z

so, we get

=8x+3z-8z^2+4y-5z

we can make groups

=8x+4y+3z-8z^2-5z

=8x+4y+3z-5z-8z^2

we can also write it as

=8x+4y+(-8z^2)+[3z+(-5z)]

so, option-D.........Answer

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A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a lar
Alexxx [7]

Answer:

The answer is 390 × pi.

Step-by-step explanation:

Big cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 9^2 x 15

= 1272.3 cubic inches

Small cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 3^2 x 5

= 47.1 cubic inches  

1272.3 - 47.1 = 1225.2 cubic inches

1272/3.14 ≈ 390

The answer is 390 × pi.

4 0
2 years ago
Your friend really wants to buy the newest, coolest cell phone which will cost him $310. He gets a job detailing cars and SUVs a
LuckyWell [14K]
There is multiple ways but one of them is 3 SUV and 1 car and that will give him $315.

I hope this helps :)
5 0
2 years ago
Read 2 more answers
Compare the functions shown below: f(x) = 4x + 5 g(x) tangent function with y intercept at 0, 2 h(x) = 3 sin(2x + π) − 2 Which f
KATRIN_1 [288]
The y-intercept of the graph of a function is the value of f(0) for any function f.
That is, it is the y-value in the pair (0, y)



The y-intercept of <span>f(x) = 4x + 5 is f(0)=4*0+5=5

The y-intercept of (0, 2) is 2.

The y-intercept of </span>h(x) = 3 sin(2x + π) − 2 is:

h(0) = 3 sin(2*0 + π) − 2=3 sin(π) − 2=3*0-2=-2


<span>Answer: The function f has the greatest y-intercept.


</span>
7 0
2 years ago
Brian irons \dfrac29 9 2 ​ start fraction, 2, divided by, 9, end fraction of his shirt in 3\dfrac353 5 3 ​ 3, start fraction, 3,
Artyom0805 [142]
For this case we can make the following rule of three:
 2/9 ------> 3/5
 x ---------> 1
 Clearing x we have:
 x = (1 / (3/5)) * (2/9)
 Rewriting we have:
 x = (5/3) * (2/9)
 x = 10/27
 Answer:
 
he irons 10/27 of his shirt every minute
5 0
1 year ago
Read 2 more answers
Linda commutes a total of 54 miles to and from work every day. She needs a new car, and good gas mileage is important to her. Sh
Alchen [17]
The answer is 1 gallon.

Miles per gallon(mpg) is computed by dividing the distance traveled by the how many gallons used. So you can derive a formula for how many gallons you would use given the mpg. You will end up with:

gallon =  \frac{miles travelled}{miles per gallon}

The problem asks for how many gallons of gas she will safe in a five-day work work week. So first you need to compute how many miles that would be. 

54 miles/day x 5days =  270 miles

So in a five day work week, she will travel 270 miles.

Now to see how much gas she will save, compute how many gallons she will use up for each car, given the mpg of each and find the difference. 

First model:30 mpg

gallons = \frac{270miles}{30mpg}
gallons = 9g
 
This means that with the first model, she will have used up 9 gallons in a 5-day work week.

Second model: 27 mpg
g = \frac{270mi}{27mi/g}
g = 10g

This means that with the second model, she will have used up 10g in a 5-day work week. 

Now for the last bit. How much will she save? You can get that by getting the difference of how many gallons each car would have used up.

10gallons - 9gallons = 1g

So she would have saved 1 gallon of gas if she buys the first car instead of the second. 
 
8 0
1 year ago
Read 2 more answers
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