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GarryVolchara [31]
2 years ago
11

Rewrite! Write an new and equivalent equation that is easier to solve

Mathematics
1 answer:
Marysya12 [62]2 years ago
6 0

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>an </u><u>equation</u><u> </u><u>in </u><u>a </u><u>standard</u><u> </u><u>form</u>

  • To do - <u>simplify</u><u> </u><u>the </u><u>equation</u><u> </u><u>so </u><u>as </u><u>to </u><u>obtain </u><u>an </u><u>easier </u><u>one</u>

<u>Since </u><u>the </u><u>equation</u><u> </u><u>provided </u><u>isn't</u><u> </u><u>i</u><u>n</u><u> </u><u>it's</u><u> </u><u>general</u><u> </u><u>form </u><u>,</u><u> </u><u>let's</u><u> </u><u>first </u><u>convert </u><u>it </u><u>~</u>

<u>General</u><u> </u><u>form </u><u>of </u><u>a </u><u>Linear</u><u> equation</u><u> </u><u>-</u>

\bold{ax  + b = 0}

<u>T</u><u>he </u><u>equation</u><u> </u><u>after </u><u>getting</u><u> </u><u>converted</u><u> </u><u>will </u><u>be </u><u>as </u><u>follows</u><u> </u><u>~</u>

- 7 + ( \frac{4x + 2}{2} )  = 8 \\  \\ \implies \:  \frac{ - 14 + 4x + 2}{2}  = 8 \\  \\  \implies \:  - 14 + 4x + 2 = 16 \\  \\ \implies \: 4x = 16 + 14 - 2 \\  \\ \implies \: 4x = 28 \\  \\\bold{ General \: form \:  \dashrightarrow  \: 4x - 28 = 0}

hope helpful ~

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coldgirl [10]

Answer:

Rock bundles:

950R+250

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1200P+300

Step-by-step explanation:

R=amount of rock bundles

P=amount of pop bundles

Rock bundles:

950R+250

pop bundles:

1200P+300

5 0
3 years ago
Read 2 more answers
A water and sprinkle our sins water out in a circular pattern how many feet away can it spread water if the area formed by the w
ludmilkaskok [199]

Answer:

11  feet away.

Step-by-step explanation:

Given:

A water and sprinkle our sins water out in a circular pattern

Area formed by the watering pattern is 379.94 square feet

To find:

How many feet away can it spread water means we have to find distance from the middle point to the last end of circular pattern of water sprinkling (radius of a circle) = ?

solution:

By using ,Area of a circle = \pi r^{2}

Area of a circle = 379.94 square feet  (given)

\pi r^{2} = 379.94

3.14\times r^{2}  = 379.94\\

Dividing both side by 3.14

r^{2}  = \frac{379.94}{3.14}  = 121

Taking square root both side

r = \sqrt[2]{11\times11}        (Taking common)

r = 11

Therefore, radius = 11

Thus,  it can  spread water 11  feet away.

8 0
3 years ago
The graph of a function is shown:
ziro4ka [17]

Answer:

D) {-2, 1, 2, 5}

Step-by-step explanation:

The "output" of a function will never be an ordered pair, so we can immediately eliminate options A and B.

In this case, the output refers to the y-values of the function.  

Since the ordered pairs are: (-2, 5), (-1, 1), (2, -2), and (5, 2), we see that the output of this function is: 5, 1, -2, 2.

Thus, choice D is correct.

Let me know if this helps!

6 0
2 years ago
PLSSSSSSSSS HELP MEEEEEEEEEEEEEEEEEEEEEEEE
Alik [6]

Input each points. (x,y) for each equation to find out if the system of equations are equivalent.

Point (-3,4) is a solution of this system of equations.

Point (-2,-6) isn't a solution of this system of equations.

Point (-4,3) is a solution of this system of equations.

3 0
3 years ago
Re-write the equation without the h component.
levacccp [35]

Answer:

f(x) = 2[\frac{3^x}{9}] + 2

f(x) = 8(4)^x

Step-by-step explanation:

Given

f(x) = 2(3)^{x-2} + 2

f(x) = \frac{1}{2}(4)^{x+2}

Required

Remove the h component

In a function, the h component is highlighted as:

f(x) = a^{x+h}

So, we have:

f(x) = 2(3)^{x-2} + 2

Split the exponents using the following law of indices:

a^m/a^n = a^{m-n}

f(x) = 2*\frac{3^x}{3^2} + 2

f(x) = 2*\frac{3^x}{9} + 2

f(x) = 2[\frac{3^x}{9}] + 2

<em>The h component has been removed</em>

f(x) = \frac{1}{2}(4)^{x+2}

Split the exponent using the following law of indices

a^{m+n} =a^m * a^n

So, we have:

f(x) = \frac{1}{2}(4)^x * 4^2

Express 4^2 as 16

f(x) = \frac{1}{2}(4)^x * 16

Divide 16 by 2

f(x) = 8(4)^x

3 0
2 years ago
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