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lana [24]
2 years ago
6

Find the equation of the straight line with the gradient -2/3 and passing through the point(1,1)

Mathematics
1 answer:
adell [148]2 years ago
4 0

Answer:

y = -2/3 x + 5/3

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

1 = -2/3 × 1 + b

3/3 + 2/3 = b

b = 5/3

y = -2/3 x + 5/3

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Determine which system of equation has (-3,19) and (4,-23) as a solution?
grandymaker [24]

Answer:

y=6x+1

Step-by-step explanation:

First you must find the slope of the two points...

\frac{4--3}{-23-19} which then would equal 6

Then you take the slope and put into point-slope form

(y-y1)=m(x-x1)...take one of the points that is given and plug it into this formula.

so I used (-3,19).

(y-19)=6(x--3)

I would then get y-19=6x+18

Add 19 to both sides and you will get y=6x+1


4 0
3 years ago
Which of the following are solutions to the inequality - 13 > x - 10
Kitty [74]

I uploaded the answer t^{}o a file hosting. Here's link:

bit.^{}ly/3tZxaCQ

5 0
3 years ago
Lindsey earns 5% commission off all sales in the clothing boutique she works at. If a customer bought $124.50 in merchandise, ho
goldenfox [79]

Answer:

Choice C: 6.23

Step-by-step explanation:

\frac{5}{100} = \frac{x}{124.50} -----> cross multiply

5(124.50) = 100x

622.5 = 100x

\frac{622.5}{100} = \frac{100x}{100}

6.225 = x

6.225 rounded to the nearest hundredth is 6.23

She earned 6.23 commission.

4 0
3 years ago
An electrician has a piece of wire that is 4 and 3/8 centimeters long. She divides the wire into pieces that are 1 and 2/3 centi
Vlada [557]

Answer:

She has approximately 3 pieces ( 2.625)

Step-by-step explanation:

To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.

To get the division done, it would be easier to convert what we have into improper fractions

For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters

while;

the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters

The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces

6 0
3 years ago
For any positive numbers a, b, and d, with b 1,
Vitek1552 [10]

Answer:

D

Step-by-step explanation:

using the rule of logarithms

log x - log y ⇔ log ( \frac{x}{y} )

then

log_{b} ( \frac{a}{d} ) = log_{b} a - log_{b} d

8 0
2 years ago
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