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bixtya [17]
3 years ago
11

He simultaneous equations5x + y = 21x - 3y = 9 With working out​

Mathematics
1 answer:
Elza [17]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

5x + y = 21 → (1)

x - 3y = 9 → (2)

Multiply (1) by 3 and add the result to (2) to eliminate y term

15x + 3y = 63 → (3)

Add (2) and (3) term by term

(x + 15x) + )- 3y + 3y) = (9 + 63)

16x = 72 ( divide both sides by 16 )

x = 4.5

Substitute x = 4.5 into (1) for corresponding value of y

22.5 + y = 21 ( subtract 22.5 from both sides )

y = - 1.5

Solution is (4.5, - 1.5 )

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Find the Exponential Regression using the table. Write the initial amount, common ratio, and equation for the table.
Ipatiy [6.2K]

Answer:

Initial amount;

2110.6

Common ratio;

0.0201

Equation;

y=2110.6e^{0.0201x}

Step-by-step explanation:

In this scenario, the  month represents the independent variable x while the membership amount represents the dependent variable y.

The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.

The Ms. Excel output is shown in the attachment below. To obtain the initial amount we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.

7 0
3 years ago
Ann increased the quantities of all the ingredients in a recipe by 60\%60%60, percent. She used 808080 grams (\text{g})(g)left p
kari74 [83]

Answer:

50 grams

Step-by-step explanation:

Let the amount of cheese required by the recipe be "x"

Ann increased 60% from original amount and then used up 80 grams. Thus:

<em>Original, increased by 60%, became 80</em>

<em />

This translated to algebraic equation would be:

x + 0.6x = 80

<u>Note:</u>  60% = 60/100 = 0.6

So we can solve the above equation for "x" and get our answer. Shown below:

x + 0.6x = 80\\1.6x=80\\x=\frac{80}{1.6}\\x=50

Hence,

the recipe required 50 grams of cheese

6 0
3 years ago
Beach Cruises prints brochures and fliers to advertise their dolphin watching tours. To print, the brochure requires three pages
Nimfa-mama [501]

Answer:

500 divided by 80 equals 6.25. 6.25 divided by 100 equals 0.0625

Step-by-step explanation:

500 divided by 80 equals 6.25. 6.25 divided by 100 equals 0.0625

6 0
3 years ago
PLEASE NEED HELP NOW!!!!!!!❤️
alexira [117]

Answer:

A. 2564 cm^2

Step-by-step explanation:

There are two triangles (Which both are the same) and three different rectangles.

1. Let's solve the area of the triangles first!

Formula: bh(1/2)

10(26)(1/2)

130

2. Now, let's multiply by 2 since there's two of them:

130(2) = 260

3. So, we got 260. Let's find the area of the three rectangles!

Formula: bh

Rectangle A: 28(36) = 1008

Rectangle B: 10(36) = 360

Rectangle C: 26(36) = 936

4. Add the area of the triangles and the rectangles!

260 + 1008 + 360 + 936 = 2564

So the surface area is 2564 cm^2

Hope this helps! <3

4 0
2 years ago
What is X equal to ?
yanalaym [24]

Answer:

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Step-by-step explanation:

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