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Marysya12 [62]
2 years ago
6

Add the polynomials. (5x2−8x+8)+(6x3−5x) The sum is_____. ​(Simplify answer.)

Mathematics
1 answer:
anastassius [24]2 years ago
4 0
The simplified answer is <span>(5x2−8x+8)+(6x3−5x) If you need the steps, I recommend you use Cymath.com it's super easy and great for math!</span>
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There are two formulae you can use to calculate the number of apple trees and the number of conifer
Leno4ka [110]

9514 1404 393

Answer:

  n = 8

Step-by-step explanation:

"By inspection" is an appropriate method.

We are asked to compare the expressions

  n·n

  8·n

and find the value(s) of n that makes them equal. <em>By inspection</em>, we see that n=8 will make these expressions equal. We also know that both expressions will be zero when n=0.

__

More formally, we could write ...

  n^2 = 8n . . . . the two formulas give the same value

  n^2 -8n = 0 . . . . rearrange to standard form

  n(n -8) = 0 . . . . . factor

Using the zero product rule, we know the solutions will be the values of n that make the factors zero. Those values are ...

  n = 0 . . . . . makes the factor n = 0

  n = 8 . . . . . makes the factor (n-8) = 0

Generally, we're not interested in "trivial" solutions (n=0), so the only value of n that is of interest is n = 8.

__

A lot of times, I find a graphing calculator to be a quick and easy way to find function argument values that make expressions equal.

5 0
3 years ago
Which number is equivalent to 0.15×1000<br> Which number is equivalent to 0.15 ×1000
Alona [7]

Answer:150

Step-by-step explanation:

0.15 x 1000

15/100 x 1000

(15 x 1000) ➗ (100 x 1)

15000 ➗ 100=150

5 0
3 years ago
A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox
jeka57 [31]

Answer:

(D)80 ft³

Step-by-step explanation:

The volume volume of the sandbox is = L × W × H

Where L = Length, W= width, H= Height.

A sandbox has the same shape as a cuboid.

A cuboid is a solid shape with rectangular base and sides. It has six rectangular faces if all sides are closed.

From the question,

LWH = 10ft³ ........................ (1).

If a similar sandbox twice as long, twice as wide and twice as high.

∴ L₍n₎= 2L, W₍n) =2W, H₍n₎ = 2H

Where L₍n₎, W₍n), H₍n₎ is the new Length,  new Width and  new Height of the similar sandbox.

∴L₍n₎ ×W₍n)× H₍n₎  = 2L × 2W × 2H

   and Volume of the new sandbox = L₍n₎ ×W₍n)× H₍n₎

 ⇒Volume of the new sandbox = 2 × 2 ×2 ×L×W×H

     Volume of the new sandbox = 8 × LWH....................(2)

    In equation(1) LWH = 10ft³.

     Substituting the value in equation(2)

    ∴Volume of the new(similar) sandbox= 8 × 10

       =80ft³.

Therefore the capacity of the second sandbox in cubic feet is 80.

The answer is option (D).

     

7 0
3 years ago
Which linear equation represents a line with a slope of -7 and a y-intercept of 12
notka56 [123]

Answer:

<u>Answer</u><u> </u><u>→</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>7</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>2</u>

Step-by-step explanation:

General equation of a line:

\hookrightarrow \: { \tt{y = mx + c}} \\

  • m is the slope
  • c is the y intercept

From the question;

m is -7

c is 12

{ \tt{y =  - 7x + 12}}

4 0
2 years ago
an umbrella at a shop was marked for $6. during a slae a discount of 10% was given. A further 8% discount was given to senior ci
Ierofanga [76]

Answer:

75

Step-by-step explanation:

8 0
3 years ago
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