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inysia [295]
2 years ago
5

Type the equation that shows the pattern among this set of ordered pairs.

Mathematics
1 answer:
Ludmilka [50]2 years ago
4 0
Line y=mx+b  has  point (0,b).
If you've got poind (0,4)  -  you can write, that b=4. 
So this is line y=mx+4 
Now slope.  You've got point (1,0), so  for x=1,  y=0.  Substitute:
m * 1 + 4 = 0 
m+4 = 0 
m=-4
So equation of this line is: y=-4x+4 

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If b2 + 2b − 24 = 0, and b < 0, what is the value of b?
Effectus [21]

Answer: b = -6, 4

Step-by-step explanation:

Convert into factored form :

(b+6)(b-4)

Then make one of the terms 0.

3 0
3 years ago
The percentage profit earned by selling a watch for Nu 1920 is equal to the percent loss incurred by selling the same watch for
dimaraw [331]

Answer:

2,000

Step-by-step explanation:

The computation of the price that should be sold for making 25% profit is shown below:

Let cost price be x

Now the equation would be

(1,920 - x) ÷ x × 100 = (x - 1,280) ÷ x × 100

1,920 - x = x - 1,280

2x = 3,200

x = 1,600

Now the sale price would be

= 1,600 × 1.25

= 2,000

6 0
2 years ago
The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the ne
Aloiza [94]

Given:

Volume of a sphere is \dfrac{28}{3} times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

V=\dfrac{4}{3}\pi r^3              ...(i)

Surface area of a sphere:

A=4\pi r^2                      ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is \dfrac{28}{3} times the surface area.

V=\dfrac{28}{3}\times A

\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2

Multiply both sides by 3.

4\pi r^3=112\pi r^2

\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}

r=28

Using (i), the volume of the sphere is:

V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3

V\approx 91989

Using (ii), the surface area of the sphere is:

A=4\times \dfrac{22}{7}\times (28)^2

A=9856

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

3 0
3 years ago
on the same bus, 1/3 of the French speakers can also speak German. how many people can speak both German and French
Alenkinab [10]
It's easy if you just break it into pieces...

1/3 OF the 4/9 French OF people on the bus (27) also speak German.

Of= Multiply

1/3*4/9*27/1=4 speak French AND German




3 0
3 years ago
You spend 15 minutes doing homework. You spend 3 hours watching television. Write the ratio of the amount of time spent doing ho
german

The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.

  • The time spent on doing the homework is 15 minutes.
  • The time spent watching television is 3 hours.
  • To calculate the ratio, we must have the same units for both quantities.
  • We have to convert the time spent watching television from hours to minutes.
  • 1 hour is 60 minutes.
  • 3 hours has 3*60 minutes.
  • 3 hours have 180 minutes.
  • So, the time spent watching television is 180 minutes.
  • The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 15/180.
  • We need to simplify the fraction.
  • 15/180 is equal to 1/12.
  • Thus, the ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.

To learn more about fractions, visit :

brainly.com/question/10354322

#SPJ9

3 0
1 year ago
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