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valentinak56 [21]
3 years ago
10

Is a horizontal line a linear function

Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

watch youtub video /watch?v=DLzxrzFCyOs

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How many solutions are in this equation?
vfiekz [6]

9(x-4)=9x-33

9x-36=9x-33



No solution so b =0

3 0
3 years ago
Read 2 more answers
A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour
kogti [31]

Answer:

235

Step-by-step explanation:

Figure the rates per hr.

110/3 = 36 2/3

160/5 = 32.

So, the rates are not the same.

Knowing a bit about plumbers, they normally charge a basic fee to just show up, and then they charge per hr.

In cases like these, where we're asked to project to a new data point (in this case an 8-hr job), you should immediately think of a graph. The x-axis would be the hours worked. The y-axis would be the charge for the work (the cost of the job).

We're given two pairs of values:

(3,110) and (5,160).

The next step is to fit a line to them.

y = mx+b is the general equation for a line.

m = the slope = rise/run = change in y / change in x

Call the change in y, dy (for delta y).

Call the change in x, dx (for delta x).

m = dy/dx = 50/2 = 25

The slope is thus 25, which means for each hour, the price goes up by $25. That means the plumber charges $25/hr.

We also know the plumber charges $110 for a 3-hr job. 3*25 = $75. So the base charge would be $110-75 = $35.

y = 25x + 35

Checking this formula at x=3, we know it is 110.

Checking it at x=5, we obtain:

y = 25*5 + 35 = 125 + 35 = 160.

That checks.

Now to figure an 8-hr job, set x=8 and use the equation"

y = 25*8 + 35.

y = 200 + 35.

y = 235.

That means an 8-hr job costs $235.

3 0
3 years ago
A patient weighs 195 pounds and requires 279 milligrams of medicine. What is the amount of medicine required by a patient weighi
WITCHER [35]

Answer:

186 milligrams

Step-by-step explanation:

195 130

—— ——

279 X

Cross multiply

195x = 36270

——— ————

195 195

X = 186

6 0
3 years ago
the area of a rectangular pool is given by the trinomial to 2y^2+y - 3 what are the possible dimensions of a pool. use factoring
gtnhenbr [62]
2y² + y - 3

(2y+3)(y-1)

2y(y-1) + 3(y-1)
2y² - 2y + 3y - 3
2y² + y - 3

2y + 3 = 0
2y = -3
y = -3/2
y = -1 1/2

y - 1 = 0
y = 1

2y² + y - 3 = 0
2(-3/2)² + (-3/2) - 3 = 0
2(9/4) - 3/2 - 3 = 0
18/4 - 3/2 - 3 = 0
18/4 - (3/2 * 2/2) - 3(4/4) = 0
18/4 - 6/4 - 12/4 = 0
(18 - 6 - 12)/4 = 0
(18 -18)/4 = 0
0/4 = 0
0 = 0



4 0
3 years ago
Find the height of a parallelogram with base<br> 9.44 meters and area 70.8 square meters.
Snowcat [4.5K]

Answer:

7.5 metres

Step-by-step explanation:

The formula for the area of a parallelogram is Area = base x height.

In the problem, you are given the base, which is 9.44 metres, and the area, which is 70.8 square metres.

When you plug everything into our area formula, you should get:

70.8 = 9.44 x height

To solve for height, you would divide both sides by 9.44.

70.8 ÷ 9.44 = height

7.5 = height

Don't forget your units, which is <u>metres</u>!

height = 7.5 metres

7 0
3 years ago
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