1.solve the following equation for y 3x- 2y= 62. solve the following equation 1/3(6x-9)= 3/4(4x-8)
3. solve 3(2x-1)/4= x + 7/2
the 3(2x-1) is over the 4 and the x + 7 is over the 2 i really dont understand them

Answers

Answer 1

Answer: So,

For number one, there will be an infinite number of solutions, as there are two placeholders.
3x - 2y = 6
It seems we can use the intercept method.
3x - 2(0) = 6
3x = 6

Divide both sides by 3
x = 2

This is one solution: (2,0)

3(0) - 2y = 6
-2y = 6

Divide both sidees by -2
y = -3

This is another solution: (0,-3)
You should now be able to draw the line.
If you want intercept form for this equation, just manipulate the equation in order to get the y = mx + b form.

Subtract 3x from both sides
-2y = -3x + 6

Divide both sides by -2
$y = (3)/(2) x + 6$

For the second problem, simply manipulate the equation.
$(1)/(3) (6x - 9) = (3)/(4) (4x - 8)$

Distribute
$2x - 3 = 3x - 6$

Subtract 2x from both sides
$-3 = x - 6$

Add 6 to both sides
$3 = x$

For the third problem, do the same thing.
$(3(2x-1))/(4) = x + (7)/(2)$

We must first multiply both sides by 4.
$3(2x-1) = 4x + 14$

Distribute
$6x - 3 = 4x + 14$

Subtract 4x from both sides
$2x - 3 = 14$

Add 3 to both sides
$2x = 17$

Divide both sides by 2
$x = (17)/(2) \ or\ 8 (1)/(2)$

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What multiplies to 3969 and adds to 126. Please help. I tried 49 and 81 but that did not work.

Answers

Factors of 3969:
1,3,7,9,21,27,49,63,81,147,189,441,567,1323,3969
-1,-3,-7,-9,-21,-27,-49,-63,-81,-147,-189,-441,-567,-1323,-3969 is this what you mean

Final answer:

In this Mathematics problem, you're searching for two numbers that, when multiplied, equal 3969 and, when added, equal 126. By factoring 3969, we find that the numbers 63 and 63 meet both criteria.

Explanation:

This Mathematics problem falls under factoring in Algebra. You are trying to find two numbers that multiply to 3969 (the product) and add up to 126 (the sum). The numbers you're looking for are 63 and 63. Let's see why.

First, factor 3969. The factors of 3969 are 1, 3, 9, 27, 81, 147, 441, 1323, and 3969. Looking at these factors, we see that only 63 and 63 multiply together to give 3969.

Now, check if they also add up to 126. Indeed, 63 + 63 equals 126, confirming that these are the two numbers you're looking for.

Learn more about Factoring here:

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what is the equation of the line that passes through the points (-2,1) and (1,10)? a) 3x-y=-7 b)3x-y=-5 c)3x-y=5 d)x 3y=-5

Answers

The answer is a.
Substitute (-2,1) and (1,10) into each answer. Only a is correct because you will get -7 from both points.

If 2 pounds of strawberry cost 4$50 how much would 3 pound cost

Answers

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Answers

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Answers

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Step-by-step explanation:

1 simplfy

2 use quadratic formula

3 simplfy again

do all the step then u will find you answer

The midpoint of cd is -9,-10, endpoint c has coordinates of -1,9 what is the endpoint of d?

Answers

$A(x_A;\ y_A);\ B(x_B;\ y_B)\n\nThe\ midpoint:M_(AB)\left((x_A+x_B)/(2);\ (y_A+y_B)/(2)\right)\n\n\nM_(CD)(-9;-10);\ C(-1;\ 9);\ D(x;\ y)\n\n(-1+x)/(2)=-9\ \ \ \ |multiply\ both\ sides\ by\ 2\n-1+x=-18\ \ \ \ |add\ 1\ to\ both\ sides\nx=-17\n\n(9+y)/(2)=-10\ \ \ \ \ |multiply\ both\ sides\ by\ 2\n9+y=-20\ \ \ \ |subtract\ 9\ from\ both\ sides\ny=-29\n\nAnswer{\boxed{C(-17;-29)}$

From c to the midpoint the coordinates have changed from (-1;9) to (-9;-10). So the difference is (-9-(-1); -10-(9)) that equals (-8;-19). And you should add (-8;-19) to the coordinates of the middle point (-9;-10). So we get (-9+(-8); -10+(-19)) that is (-17;-29). This is the endpoint of d. Answer: d (-17;-29).

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