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neonofarm [45]
4 years ago
13

Choose the graph below that correctly represents the equation 2x + 4y = 24.

Mathematics
2 answers:
serg [7]4 years ago
7 0

Answer:

Option 1 st is correct

Step-by-step explanation:

Given the equation:

2x+3y = 24        .....[1]

To graph this equation.

Find intercept for this equation:

x-intercept:

The line that crosses the x-axis.

Substitute y=0  in [1] and solve for x.

then;

2x+3(0) = 24

⇒2x = 24

Divide both sides by 2 we have;

x = 12

x-intercept = (12, 0)

y-intercept:

The line crosses the y-axis.

Substitute x = 0 in [1] and solve for y.

2(0)+3y = 24

⇒3y= 24

Divide both sides by 3 we have;

y = 8

y-intercept = (0, 8)

Using intercepts point:

we plot the given line 2x+3y = 24 as shown below.

IgorLugansk [536]4 years ago
3 0
1st graph is correct

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Using the Extended Euclidean Algorithm, find integers x and y such that 26x + 9y = 1.
Xelga [282]

Answer:

The solution is: x=-1 and y=3.

Step-by-step explanation:

Let's find the solution, but first let's remember the following:

A / B = C + R where:

A=dividend, B=divisor, C=quotient, and R=remainder. This can be express as follows:

A = (C * B) + R, which is the structure we are going to use next.

Using the Euclidian Algorithm we need to find the highst common factor (HCF) between the coefficients from your equation, this means:

The original equation: 26x+9y=1 is in the form Ax+By=C, so A=26, B=9 and C=1.

We need to find the HCF of 'A' and 'B'. Using the Euclidan Algorithm (EA), so we have:

A = (C * B) + R, using our values:

26 = (2 * 9) + 8, look that the divisor (B) is 9 and the remainder (R) is 8.

Now using the (EA) we divide the divisor (B=9) by the obtained remainder (R=8). And we do the same for each obtained result until the las remainder (R) is equal to 0, like this:

A = (C * B) + R

9 = (8 * 1) + 1

using the divisor (B=8) and the remainder (R=1) we obtain:

A = (C * B) + R

8 = (1 * 8) + 0, look that the remainder is now 0, so in summary we can use the method as follows:

26 = (2 * 9) + 8

9 = (8 * 1) + 1

8 = (1 * 8) + 0; and this equations are the ones we are going to use in order to find a solution.

Next step is to use the equation before R=0, so:

9 = (8 * 1) + 1, which is:

9 - (8 * 1) = 1; but if you consider the first obtained equation: 26 = (2 * 9) + 8, we can write:

26 - (2 * 9) = 8, and we can use this expression in the previous one, so:

9 - (8 * 1) = 1, is:

9 - ((26 - (2 * 9)) * 1) = 1, simplifying:

9 - 26 + (2*9) = 1

9 - 26 + (9 + 9) = 1

-26 + (9 + 9 + 9) = 1

-26 + (3 * 9) = 1

26*(-1) + 9*(3) = 1; if you compare the last expression with the original equation, which is: 26x+9y=1, you can see the similarity, where x=-1 and y=3.

So, the solution is: x=-1 and y=3.

8 0
3 years ago
I need help please?!!!
Sveta_85 [38]

Answer:

(-4,14)

(which you already choose)

Step-by-step explanation:

5 0
3 years ago
Solve the following inequality for h. Write your answer in simplest form. -10h+1>-7h+9
emmasim [6.3K]

Answer:

h<-8/3

Step-by-step explanation:

collect like terms

-10h+7h>9-1

3h>8

divide both sides of the inequality by -3 and flip the inequality sign

h<-8/3

4 0
3 years ago
In 2010 the Internal Revenue Service allowed a $5,150 deduction for each dependent. In 2005 it was a $3,200. If a family has fiv
Aleks04 [339]
5x5,150 =$<span>25,750 = Answer</span>

Deductions per dependent $5,150 times 5 in 2010

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3 years ago
if you put $6.57 into a savings account that earbs 4%, how much interest will you receive at the end of eight years
mezya [45]
$9.02 Hope this helped.
7 0
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