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2 years ago

What are the first 4 steps that can be used to correctly rewrite this polynomial? 3(x+4y) +5(2x-y)

Mathematics

2 answers:

Nutka1998 [239]2 years ago

7 0

Distribute multiplication over addition and subtraction:
3x+ 12y+10x-5y
Combine like terms:
13 x +7y

frez [133]2 years ago

4 0

Hope this helps, I went all the way to the solution since theres really only 5 steps

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Find three consecutive even integers such that the sum of the first, twice the second, three times the third is -76. What is the

ss7ja [257]

Answer:

The numbers are -14,-13 and -12

Step-by-step explanation:

<u><em>The correct question is </em></u>

Find three consecutive integers such that the sum of the first, twice the second and three times the third is -76. What is the number?

Let

x ----> the first consecutive integer

x+1 ---> the second consecutive integer

x+2 ---> the third consecutive integer

we have that

$x+2(x+1)+3(x+2)=-76$

solve for x

apply distributive property

$x+2x+2+3x+6=-76$

Combine like terms

$6x+8=-76$

subtract 8 both sides

$6x=-76-8$

$6x=-84$

Divide by 6 both sides

$x=-14$

$x+1=-14+1=-13$

$x+2=-14+2=-12$

therefore

The numbers are -14,-13 and -12

3 0

3 years ago

How do I know which KCL & KVL equations are independent?

Eduardwww [97]

Please look at the attached file, it may help you

5 0

3 years ago

1. The sum of two numbers is 90. Their difference is 18. Find the numbers. A(40, 22) B(45, 45) C(36, 54) D(27, 63) E (40, 50) F

Genrish500 [490]

Answer:

36 and 54

Step-by-step explanation:

54-36=18

54+36= 90

3 0

3 years ago

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f

likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

$A=(1500-2y)y\\\\A=1500y-2y^2$ .....(3)

For largest area, differentiate above area equation wrt y.

$\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375$

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

$A =1500(375)-2(375)^2\\A=281250\ m^2$

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0

3 years ago

What is the equation of the line in slope-intercept form?

Irina18 [472]

y = 5/2x + 5 would be your equation

6 0

3 years ago

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