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4 years ago

What does the slope of the line represent and what does the y-intercept of this function represent? HOW DO YOU GET THIS?!??!!

2 answers:

7 0

Y=mx+b
m=slope
b=y-intercept
y=line

example: y=3/4x+4
y-intercept=4 (plot on the y axis)
slope= 3/4 ( up 3 from the plotted 4 and over 3 to the right).

Hope this helps! (;

Gnoma [55]4 years ago

6 0

Slope is the steepness of a line while the y-intercept is the point where the line crosses the y-axis.

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What is the solution to 9x−6<21?

Alisiya [41]

Answer:

$x > 3$

Step-by-step explanation:

1) Add 6 to both sides.

$9x > 21 + 6$

2) Simplify 21 + 6 to 27.

$9x > 27$

3) Divide both sides by 9.

$x > \frac{27}{9}$

4) Simplify 27/9 to 3.

$x > 3$

Therefor, the answer is option B. x > 3.

7 0

3 years ago

Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combination value of $8.85. How many of each

stepan [7]

Answer: he has 32 quarters and 17 nickels.

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of quarters that he has in her wallet.

Let y represent the number of nickels that she has in her wallet.

He has 49 coins total. This means that

x + y = 49

the total value of the coins is $8.85. This means that

0.25x + 0.05y = 8.85 - - - - - - - - - - 1

Substituting x = 49 - y into equation 1, it becomes

0.25(49 - y) + 0.05y = 8.85

12.25 - 0.25y + 0.05y = 8.85

- 0.25y + 0.05y = 8.85 - 12.25

0.2y = 3.4

y = 3.4/0.2

y = 17

x = 49 - y = 49 - 17

x = 32

7 0

3 years ago

During the spring car wash, the activities club washed 14 fewer cars than during the summer car wash. They washed a total of 96

Mashutka [201]

You can make an equation to solve this, but establishing knowns, unknowns, and relationships.

# in spring wash = x
# in summer = x + 14
Total Washes = 96

we know:
total = summer + spring

96 = (x) + (x + 14)
96 = 2x + 14
82 = 2x

"x" = 41

4 0

3 years ago

1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10

Ronch [10]

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

8 0

3 years ago

Read 2 more answers

A widget company produces 25 widgets a day,5 of which are defective.Find the probability of selecting 5 widgets from the 25 prod

MariettaO [177]

Answer:

0.292

Step-by-step explanation:

Combinations can be used to solve the following problem.

We are choosing 5 widgets from 25 = ²⁵C₅

We want to select zero widgets from defective widgets = ⁵C₀

From the 20 non-defective widgets we want to select 5 = ²⁰C₅

So the probability is:

P = ( ⁵C₀ * ²⁰C₅) / ²⁰C₅

P = (1 * 15504) / 53130

= 15504/ 53130

=0.292 ..

7 0

3 years ago