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Fed [463]
3 years ago
12

Combine like terms: 3y squared - y+7y- y squared

Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Assignment: \bold{Simplify \ Equation: \ 3y^2-y+7y-y^2}

<><><><><>

Answer: \boxed{\bold{2y^2+6y}}

<><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><>

[ Step One ] Group Like Terms In Equation Together

\bold{3y^2-y^2-y+7y}

[ Step Two ] Combine Similar Elements

\bold{-y+7y=6y}

[ Step Three ] Rewrite Equation

\bold{3y^2-y^2+6y}

[ Step Four ] Combine Similar Elements

\bold{3y^2-y^2=2y^2}

[ Step Five ] Rewrite Equation

\bold{2y^2+6y}

<><><><><><><>

\bold{\rightarrow Mordancy \leftarrow}

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Find the 62nd term of the following sequence:<br> (-21, – 27, - 33, - 39,...)
iris [78.8K]

Answer:

-387

Step-by-step explanation:

First term (T1) = -21 = a

second term (t2) = - 27

common difference (d) = t2 - t1 = - 27 + 21 = - 6

Now

Tn = a + ( n - 1) d

T62 = - 21 + ( 62 - 1 ) - 6

= - 21 -366

= -387

8 0
3 years ago
Consider the function f ( x ) = − 5 x 3 f(x)=-5x3. Determine the average rate of change (ARoC) of f f over the following interva
NeTakaya

Answer:

The average rate of change in the interval (3, 3.5) is -158.75          

Step-by-step explanation:

We are given the following function in the question:

f(x) = -5x^3

We have to find average rate of change over the interval:

x = 3 to x = 3.5

Average rate of change  =

=\dfrac{\delta f(x)}{\delta x}\\\\=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}\\\\=\dfrac{-5(3.5)^3+5(3)^3}{3.5-3}\\\\= \dfrac{-79.375}{0.5}\\\\=-158.75

Thus, the average rate of change in the interval (3, 3.5) is -158.75

6 0
3 years ago
Jauanita and Keenan own a camping supply store and just put in an order fir flashlights and sleeping bags. The number of flashli
OLEGan [10]

Answer:

  • 85 flashlights
  • 17 sleeping bags

Step-by-step explanation:

One group of 5 flashlights and 1 sleeping bag will cost ...

  $12×5 +45 = $105

The total cost of the order is $1785/$105 = 17 times that amount, so there were ...

  17 sleeping bags ordered

  17×5 = 85 flashlights ordered

3 0
3 years ago
3x + 5y + 7x - 3y<br> Simplify
sweet-ann [11.9K]
Combine like terms so you end up with 10x+2y
4 0
4 years ago
In the figure below, determine the perimeter of triangle EFG
Airida [17]

Answer:

82 units

Step-by-step explanation:

From the image, we can see that the 2 triangles are similar triangles.

Thus:

BC = EF

BD = EG

CD = FG

Now, BD = 4x - 9 and EG = 2x + 15

Thus;

4x - 9 = 2x + 15

4x - 2x = 15 + 9

2x = 24

x = 24/2

x = 12

Thus, in triangle EFG where EG = 2x + 15, then EG = 2(12) + 15 = 39

Also, EF = BC = 17

FG = 26

Thus, perimeter of triangle EFG is;

P = 26 + 17 + 39

P = 82 units

3 0
3 years ago
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