SOMEONE PLEASE HELP Evaluate 7 sigma n=3 2n+5 75 77 96 98

elect the correct answer from each drop-down menu. A system of linear equations is given by the tables. x y -5 10 -1 2 0 0 11 -2

sergeinik [125]

Answer:

First equation: y = -2x

Second equation: y = 3 - x

Solution: (1, -2)

Step-by-step explanation:

Assuming the ordered pairs of the tables are:

Table 1

(-5, 10) (-1, 2) (0, 0) (11, -22)

Table 2

(-8, -11) (-2, -5) (1, -2) (7, 4)

To create a linear equation, pick 2 ordered pairs. Calculate the slope by using the slope formula, then use the points-slope form of the linear equation to form the equation.

$\textsf{slope }m=\dfrac{\textsf{change in }y}{\textsf{change in }x}$

$\textsf{point-slope form : }y-y_1=m(x-x_1)$

Equation 1

$\textsf{slope }m=\dfrac{2-10}{-1+5}=-2$

$y-0=-2(x-0)\\\\\implies y=-2x$

Equation 2

$\textsf{slope }m=\dfrac{-5+11}{-2+8}=1$

$y+11=1(x+8)\\\\\implies y=x-3$

Solution to the System

Equate the equations and solve for x:

-2x = x - 3

⇒ 0 = 3x - 3

⇒ 3x = 3

⇒ x = 1

Substitute found value of x into one of the equations and solve for y:

y = 1 - 3 = -2

Therefore, the solution is (1, -2)

4 0

2 years ago

The length of a rectangle is 2 foot less than 3 times its width. Find the the dimensions of this rectangle if the area is 96 squ

Xelga [282]

For example,area = a, length = l, width = w
First we write two equations. The easier equation is the area equation, which we know to be
a = l x w
So that the first equation is :
96 = l x w 

we make the second equation of the following statements :
The length of a rectangle is 2 foot less than 3 times its width.
so it becomes :
l = 3w - 2

To solve, we can use the substitution method.

$96 = l \times w\\96=(3w-2) \times w\\96=3w^{2}-2w\\3w^{2}-2w-96=0~~~~~~[now\ factor\ the\ equation]\\ (3w+16)(w-6)=0$

$3w+16=0\\3w=-16\\w= -\frac{16}{3}~~~~\Rightarrow~~~answer\ doesnt\ make\ sense\ , negative\ width.
$

$w-6=0\\\boxed{w=6~~~~~~~\Rightarrow~~~~positive\ answer\ for\ width\ makes\ sense }
$

So if our width is 6, Now substitute the value of w = 6 into equation 2 

$l=3w-2\\l=3(6)-2\\l=18-2\\l=16$

So "w" = 6 and "l" = 16, and if we multiply them together, we get the correct area, 96. So our dimensions are 6 by 16.

6 0

2 years ago

A test consists of 20 true/false questions. If a student guesses on each question, what Is the probability of getting exactly 15

k0ka [10]

Answer:

50%

Step-by-step explanation:

due to the fact that its true/false questions, so that means when you answer you have 2 choices. a 50/50 chance of getting them right or wrong

5 0

3 years ago

PLEASE HELP!!! ILL GIVE BRAINLIEST !!

ioda

Answer:

4532

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

1+1= I need help please I am just seeing if this app really work

STatiana [176]

Answer:

1+1=2

Step-by-step explanation:

8 0

2 years ago