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3 years ago

-12 = -5(x - 3) ......

Mathematics

2 answers:

DENIUS [597]3 years ago

5 0

Answer:

3.4

Step-by-step explanation:

-12=-5(x-3)

destrubute

-5(x)--5(3)=-12

-5x + 15=-12

-15=-15

-5x=-17

x=-17/-5

x=3.4

Gnoma [55]3 years ago

4 0

Answer:

x = 27/5

Step-by-step explanation:

Step 1: Write equation

-12 = -5(x - 3)

Step 2: Solve for x

Distribute -5: -12 = -5x + 15
Subtract 15 on both sides: -27 = -5x
Divide both sides by -5: x = 27/5

Step 3: Check

Plug in x to verify it's a solution.

-12 = -5(27/5 - 3)

-12 = -5(12/5)

-12 = -12

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The dot plot shows the number of pencils each boy has at his desk in class.

Elanso [62]

Answer:

The median is 2

Step-by-step explanation:

Here, we want to get the median for the number of pencils

Firstly, we have to write out the numbers that form the box plot ; we have this as;

1,1,1,2,2,2,2,3,3,5

the median is sum of the 5th and 6th term divided by 2

The 5th term is 2

The 6th term is 2

So the median is;

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= 4/2 = 2

3 0

3 years ago

determine the point of intersection of the following pair of lines ............2x-3y-4=-13 and 5x=-2y+25. 3x+2y-7=0 and 2x=12-5y

grandymaker [24]

Answer:

(x, y) = (3, 5)
(x, y) = (1, 2)

Step-by-step explanation:

A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.

The usual methods of solving a system of equations involve elimination or substitution.

There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to elimination. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.

_____

1. In standard form, your equations are ...

2x -3y = -9
5x +2y = 25

Then the solution is ...

$x=\dfrac{-3(25)-(2)(-9)}{-3(5)-(2)(2)}=\dfrac{-57}{-19}=3\\\\y=\dfrac{-9(5)-(25)(2)}{-19}=\dfrac{-95}{-19}=5\\\\(x,y)=(3,5)$

2. In standard form, your equations are ...

3x +2y = 7
2x +5y = 12

Then the solution is ...

$x=\dfrac{2(12)-5(7)}{2(2)-5(3)}=\dfrac{-11}{-11}=1\\\\y=\dfrac{7(2)-12(3)}{-11}=\dfrac{-22}{-11}=2\\\\(x,y)=(1,2)$

_____

Note on Cramer's Rule

The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.

The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.

7 0

3 years ago

What is an equation of the line in slope- intercept form? m=2 and the y intercept is (0,3)

MaRussiya [10]

Answer:

Y= 2x+3

Step-by-step explanation:

The Slope-Intercept formula is y=mx+b. M is the slope, b is the y intercept, x is the independent variable and y is the dependent variable. In order to write an equation for these types of problems, plug in the numbers for the variables.

3 0

2 years ago

What’s the area of this? i really need help....50 points if u help me :)

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

We can split this up into 3 shapes.

Using the attached image:

$A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C = 14 + 6 + 9 = 29$