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2 years ago

3. Consider the linear equation 2y - 3x = 5.

Mathematics

1 answer:

nignag [31]2 years ago

8 0

Answer:

Step-by-step explanation:

2y - 3x = 5

2(-2) - 3x = 5

-4 - 3x = 5

-3x = 9

x = -3

(-3,-2) is another solution

(-1,1)

2y - 3x = 5

2(1) - 3(-1) = 5

2 + 3 = 5

5 = 5

true, the point is a solution to the equation because the equation is true after substituting x and y with the point (-1,1)

(4,1)

2y - 3x = 5

2(1) - 3(4) = 5

2 - 12 = 5

-10 = 5

not true, the point is not a solution to the equation because the equation is not true after substituting x and y with the point (4,1)

c. You can use the points from the given (-1,1) and (-3,-2) to form a line. You then shade whichever half solves the solution using points on the graph.

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The curved part of this figures is a semicircle.

Varvara68 [4.7K]

The correct answer for this question is this one:

As shown in the graph, The curved part of this figures is a semicircle.
What is the area of this figure?

28+8.125π units²
<u>28+16.25π units²</u>
14+8.125π units²
14+16.25π units²
Hope this helps answer your question and have a nice day ahead.

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3 years ago

Solve for x ... please help

Mrac [35]

Answer:

$7x + 49 \degree = 2x + 94\degree \\ 7x - 2x = 94\degree - 49 \degree \\ 5x = 45\degree \\ x = \frac{45}{5} \\ x = 9 \\ check \\ 7(9) + 49 = 112\degree \\ 2(9) + 94 = 112\degree$

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2 years ago

Then value of gold is appreciating 18% every hour you were lucky enough to have gold coin which was worth $40 at the beginning o

Zepler [3.9K]

Answer:

The equation is $y=40(1.18)^{x}$

Step-by-step explanation:

The exponential growth equation is $y=a(1 + r)^{x}$ , where

a is the initial value (value y at x = 0)
r is the rate of increasing in decimal

∵ The value of gold is appreciating 18% every hour

∴ r = 18%

∵ 18% = $\frac{18}{100}$ = 0.18

∴ r = 0.18

∵ The gold coin was worth $40 at the beginning of the crisis

∴ The initial amount is $40

∴ a = 40

∵ y represents the value of the gold after x hours

∴ $y=a(1+r)^{x}$

- Substitute the values of a and r in the form above

∴ $y=40(1+0.18)^{x}$

∴ $y=40(1.18)^{x}$

The equation is $y=40(1.18)^{x}$

7 0

3 years ago

Can you order this least to greatest, 385 km, 446,831 feet, 2,521,728 inches, 161,920 yards

loris [4]

To order these from the least to greatest you need to convert them all to one common unit of measurement. In this case I chose feet.
385 km= 1, 263, 123 ft
2, 521, 728 in= 210, 144 ft
161, 920 yards= 485, 760 ft
And of course 446, 831 feet equals itself. Now all you have to do is put them in the correct order!
Hope this helped :)

4 0

2 years ago

ONLY ANSWER IF YOU KNOW THE ANSWER OR IF YOU ARE NIHHA :)) thanks

pishuonlain [190]

Answer:

Step-by-step explanation:

Let's just call the number x for simplicity.

So, 7x is 8 less than x².

Putting this into an equation would look like this

x² - 8 = 7x

It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.

x² - 7x -8 = 0

Now, we can proceed. To factor we first need to find the factors of -8.

The factors of -8 are

-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.

We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.

So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.

( x + 1 ) ( x - 8 )

To find the solutions we will have to set them to 0 and solve each of these binomials individually.

x - 1 = 0

x = 1

So, one of the solutions is 1. It's not the one we want, since it's positive.

x - 8 = 0

x = 8

This is the one we want since it is positive.

8 0

3 years ago