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3 years ago

Why is origin important when graphing points on the coordinate plane?

2 answers:

8 0

The origin is at the point (0,0), so it's like the starting point of the graph, and you have to start at zero to determine your units on your x (horizontal) and y (vertical) axis.

zlopas [31]3 years ago

3 0

Because the origin is the beginning point of the x and y axis. you wouldn't even know where to start without the origin.

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F(x)=x3−x2 and g(x)=2x+10, then (g ∘ f)(3)=

RUDIKE [14]

Answer:

Step-by-step explanation:

f(3)= 3^3 - 3^2 = 27 - 9 = 18

g(18)= 2(18) + 10 = 36 + 10 = 46

5 0

3 years ago

A 20.0 kg sled is being pulled across a horizontal surface at constant velocity. The pulling force has a magnitude of 80.0N and

SSSSS [86.1K]

U = F/R = 80/200cos30
u = 80/100√3
u= 0.46

7 0

3 years ago

What does x equal. I need help

Misha Larkins [42]

Do 90 minus 20 I think

4 0

3 years ago

WILL MARK BRAINLIEST!! PLEASE HELP ASAP.

Rudiy27

Answer:

I think this is the answer I hope this can help you

Step-by-step explanation:

1) 3 gallons=36 miles

16 gallons=?

so it will be

$36 \times 16 = 576$

$576 \div 3 = 192$

or you can do like this

1 gallons=12 miles so if 16 gallons multiply with 12 it will be 192

2)2 hours=$28.50

? =$99.75

so it will be

$99.75 \times 2 = 199.5$

$199.50 \div 28.50 = 7$

so it will be 7 hours

3) 4.5 km= 5 hours

? =60 hours

$60 \times 4.5 = 270$

$270 \div 5 = 54$

the answer will be 54 kilometer

4) $9.60=3cm

$22.40=?

$22.40 \times 3 = 67.20$

$67.20 \div 9.60 = 7$

7 cm

5) $145.50=50 miles

$552.90=?

$552.90 \times 50 =27645$

$27645 \div 145.50 = 190$

190 miles

6)$239.85=359

$1.95=?

$359 \times 1.95 = 700.05$

$700.05 \div 239.85 = 2.92$

2.92 liter

220=60 hours

?=3 hours

$220 \times 3 = 660$

$660 \div 60 = 11$

11 miles

8)1 gallon= $17.50

8.2 gallon=?

$17.50 \times 8.2 = 143.50$

$143.50

9)7cm=2 minute

? =13 minute

$13 \times 7 = 91$

$91 \div 2 = 45.5$

45.5 cm

10)17=4 acres

? =244 acre

$244 \times 17 = 4148$

$4148 \div 4 = 1037$

1037 kg

11) 1= $2.85

4.4=?

$2.85 \times 4.4 = 12.54$

$12.54

12)

$2.50=5 oz

$32.50=?

$32.50 \times 5 = 162.50$

$162.50 \div 2.50 = 65$

65 oz

5 0

3 years ago

The graph below represents an employee's earnings based on units sold. What can be interpreted from the slope of this graph?

Vesna [10]

Answer:

Step-by-step explanation:

From inspection of the graph, we can see that every time the x-value increases by 10, the y-value increases by 1000.

So, the employee earns an additional $1000 for every 10 units sold.

To calculate how much the employee earns for every 1 unit sold, divide $1000 by 10:

1000 ÷ 10 = 100

Therefore, the employee earns an additional $100 for every one unit sold.

Proof

This can be proved by calculating the slope (gradient) of the graph:

$\sf slope=\dfrac{y_2-y_1}{x_2-x_1}$

where $\sf (x_1,y_1)$ and $\sf (x_2,y_2)$ are two points on the line

When picking the two points, remember that the y-values are in thousands of dollars.

Two points on the line:

(0, 30000) and (20, 32000)

Substituting these into the formula:

$\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100$

Therefore, the employee earns an additional $100 for every one unit sold.

7 0

2 years ago