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stiks02 [169]
3 years ago
10

Number 3 it's algebraic expressions

Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0
3(3)^2 - (-2)^3 - (-2)^3 - (-5)
When simplified the answer is 48.
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write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please
faust18 [17]

Answer:

y = \frac{1}{5} x - 9

Step-by-step explanation:

The slope-intercept form is y = mx + b, where:

m = slope

b = y-intercept.

The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope = \frac{rise}{run}.  So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, <em>b</em>). So, it becomes (0, -9).

Now that we have our slope (<em>m </em>) = 1/5, and the y-intercept (<em>b </em>) = -9, we can write the equation of the line as:

y = \frac{1}{5} x - 9

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).  

Please mark my answers as the Brainliest if you find my explanations helpful :)

7 0
2 years ago
Please help, thank you so much !!
Sliva [168]
Answer: x = 54

Explanation:

180 - 14 = 166

3x + 4 = 166
3x = 162
x = 162/3 = 54
6 0
2 years ago
If x varies directly as y and x= 18 when y =3 find x when y=7
denpristay [2]

Answer:

42

Step-by-step explanation:

x = Ky

18 = K(3)

K = 18/3 = 6

x = 6y

x = 6(7) = 42

5 0
3 years ago
Which equation represents a line that passes through (4, left-parenthesis 4, StartFraction one-third EndFractin right-parenthesi
sladkih [1.3K]

The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).

<h3>What is the Point-slope form?</h3>

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

we know that            

The equation of the line into point-slope form is equal to                        

y-y₁ = m(x-x₁)

             

we have          

(x₁, y₁) = (4, 1/3)

m = 3/4

 

substitute the given values                

y-y₁ = m(x-x₁)

y - 1/3 = 3/4 ( x - 4)

therefore,

y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)

Thus, option A is correct.

Learn more about slope;

brainly.com/question/13458632

#SPJ1

4 0
1 year ago
Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o
loris [4]

Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is  60 inches .

The problem says that the new design has length 3x inches longer  and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design  which is 36 inches .

Thus new length of rug is  ( 3x + 36  )  inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is   ( x + 60   )   inches .

Area of rectangle is  Length * Width  

Area of new rug is   ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 )  = 3x ( x + 60 ) + 36 ( x + 60 )

                                    =  3x² +  3x * 60  + 36 x  + 36 * 60

                                    =   3x²  + 180 x + 36 x + 2160

    Combining like terms ,  3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 )  = 3x² + 216 x + 2160 .

7 0
3 years ago
Read 2 more answers
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