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Sphinxa [80]
3 years ago
10

1. 3x + 2 - 7y - 4z + 8

Mathematics
1 answer:
joja [24]3 years ago
5 0

Answer:

Variables- x, y and z

Constants- 2 and 8

Coefficients- 3, 7, and 4

Step-by-step explanation:

Variables - The numbers we don't know/trying to find.

Constants- The numbers that remain fixed

Coefficients- The numbers in front of the variables

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The population of gray wolves in Wisconsin increased from 570 in 2007 to 660 in 2014. Find the percent increase in the wolf popu
melamori03 [73]

Answer:

15.78947% increase

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then:  divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100

7 0
2 years ago
Triangle rigidity means that a triangle cannot be deformed without changing its
ladessa [460]
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3 years ago
What is the final price including tax for the shoes?
Alchen [17]

Answer:

Step-by-step explanation:

$15 × 0.75 × 1.04 = $11.70

$25 × 0.75 × 1.04 = $19.50

$37 × 0.75 × 1.04 = $28.86

$65 × 0.75 × 1.04 = $50.70

3 0
2 years ago
Consider the graph of the line y = x – 4 and the point (−4, 2).
Hitman42 [59]

Answer:

a. The slope  of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is  (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form  is:

y=mx+b

Where m is the slope and b is the y-intercept.

a. For the line y = x - 4

You can identify that:

m=1

 By definition, two lines are parallel if they have the same slope. Then, the  slope of a line parallel to the given line is:

m=1

b. The equation of the line in Point-slope form is:

y -y_1 = m(x - x_1)

Where m is the slope and (x_1,y_1)  is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = (x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=1 :

y -2 = (1 +4)

y= 5+2

y= 7

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the  slope of a line perpendicular to the given line is:

m=-\frac{1}{1}\\\\m=-1

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = -1(x +4)

 y -2 = -(x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=3 :

y -2 = -(3 +4)

y= -7+2

y= -5

Then, you get the point (3,-5)

8 0
3 years ago
The sum of 4 consecutive intergers is 50, what is the first interger in this relationship
Vesnalui [34]

Answer:

x = 11

Step-by-step explanation:

Consecutive means in a row

Let x be the first integer

x+1 is the second

x+2 is the third

x+3 is the 4th

The sum is 50

x+ x+1 + x+2 + x+3 = 50

Combine like terms

4x+6 = 50

Subtract 6 from each side

4x+6-6 = 50-6

4x = 44

Divide each side by 4

4x/4 = 44/4

x = 11

7 0
3 years ago
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