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3 years ago

Solve the system by using a table. {3y = 4x + 7 {-4x - 4y = 28

Mathematics

1 answer:

dmitriy555 [2]3 years ago

5 0

Answer:

The two equations given in the question are:

3y = 4x + 7

- 4x - 4y = 28

Now, let us subtract 3y and 7 from both sides of the first equation

3y - 3y - 7 = 4x + 7 - 3y - 7

- 7 = 4x - 3y

This can be written as

4x - 3y = - 7

Now let us set the two equations in table form

4x - 3y = - 7

- 4x - 4y = 28

We get from the above deduction,

- 7y = 21

y = - 21/7

y = - 3

Now let us put the value of y in the first equation, we get

3y = 4x + 7

3 (- 3) = 4x + 7

- 9 = 4x + 7

4x = - 9 - 7

4x = - 16

x - - 4

So (x,y) comes out to be (-4, -3). The correct option among all the options given in the question is the first option or option "A".

please add options

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Colt1911 [192]

Answer:

Step-by-step explanation:

The number line in option C contains the points -4, -1, 1 and 2 correctly plotted.

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2 years ago

Solve: 3 x (3 + 12/3)-4=<br>

Zarrin [17]

Answer:

I get 17.

Step-by-step explanation:

Reduce the fraction:

3 ( 3 + 4 ) - 4

Add the numbers:

3 x 7 - 4

Multiply the numbers:

21 - 4

Subtract the numbers:

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3 years ago

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The surface area of a pyramid is 327 square meters. what is the surface area of a similar pyramid that is smaller by a scale fac

N76 [4]

Answer:

$\boxed{\text{144.33 m}^{2}}$

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding parts of the two pyramids.

The ratio of the areas is the square of the scale factor.

$\dfrac{A_{1}}{ A_{2}} = C^{2}\\\\\dfrac{\text{327 m}^{2}}{A_{2}} = \left (\dfrac{1}{\frac{2}{3}}\right)^{2}\\\\ \dfrac{\text{327 m}^{2}}{A_{2}}= \dfrac{9}{4}\\\\\text{1308 m}^{2}= 9A_{2}\\\\A_{2} = \text{145.33 m}^{2}\\\text{The surface area of the smaller pyramid is \boxed{\text{145.33 m}^{2}}}$

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3 years ago

1) Find the inverse function of f(x)=1/2x+3

dexar [7]

y = 1/2x + 3
change x and y

x = 1/2y + 3
now find the value of y and that is inverse function

x - 3 =1/2 y
y = 2x- 6

f-(x) = 2x - 6
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for both domain : ( - ∞ , + ∞ )

range f (x) : ( - ∞ , + ∞ ) - { 0 }
range f-(x) :( -∞ , +∞)

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3 years ago

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Susan wanted to share her 37 seashells with her two younger brothers. If she divided her seashells between the three of them, ho

VikaD [51]

Given :

Susan wanted to share her 37 seashells with her two younger brothers.

To Find :

If she divided her seashells between the three of them, how many would each person get.

Solution :

Let, each person will get x seashells.

So,

$x = \dfrac{\text{Total number of seashells}}{\text{Number of persons}}\\\\x = \dfrac{37}{3}\\\\x = 12.333$

But as we know seashells cannot be in decimal.

Therefore, each person will get exactly 12 shells.

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2 years ago