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Citrus2011 [14]
3 years ago
15

Solve for x. 2x + 3 =9

Mathematics
2 answers:
Umnica [9.8K]3 years ago
8 0

Answer:

x=3

Step-by-step explanation:

- 3 on both sides

2x=6

divide by 2 on both sides

x=3

Leno4ka [110]3 years ago
6 0

Answer:

x = 3

Step-by-step explanation:

2x+3=9

Subtract 3.

2x=9-3\\2x=6

Divide by 2.

x=\frac{6}{2}\\ x=3

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A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At
Shtirlitz [24]

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

8 0
3 years ago
Which of the following values are solutions to the inequality 1+5x&lt;4?<br> I.6 <br> II.5<br> III.2
Paraphin [41]

Answer:

x < .6

Step-by-step explanation:

1+5x<4

Subtract 1 from each side

1-1+5x<4-1

5x<3

Divide each side by 5

5x/5 <3/5

x < .6

4 0
3 years ago
Dana is planning to drive 400 miles from
GaryK [48]

Answer:

A. 8 gallons

B. Drive by car is $59.4 cheaper than travel by train

Step-by-step explanation:

According to the scenario, given data are as follows,

Total drive = 400 miles

Total drive per gallon = 50 miles

Fuel cost per gallon = $4.45

A. So, Total fuel required to drive 400 miles can be calculated as follows,

Total fuel required =  Total drive ÷ Total drive per gallon

By putting value, we get,

Total fuel required = 400 ÷ 50

= 8 gallons

B. Total cost if drive by car = 8 gallons × $4.45 = $35.6

Cost if travel by train = $95

Hence it is clearly shows that drive by car is much cheaper than travel by train.

Cost saved by travel by car = $95 - $35.6 = $59.4

So, drive by car is $59.4 cheaper than travel by train.

5 0
3 years ago
What is the volume of this sphere?
Inga [223]

Answer:

V=2143.57\ mm^3

Step-by-step explanation:

Given that,

The radius of the sphere, r = 8 mm

We need to find the volume of the sphere. The formula for the volume of a sphere is given by :

V=\dfrac{4}{3}\pi r^3

Put all the values,

V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3

So, the volume of the sphere is equal to 2143.57\ mm^3.

6 0
2 years ago
If f(x)=x/2+8what if f(x) when x=10
Zinaida [17]

Answer:

f(10)=13

Step-by-step explanation:

f(x)=x/2+8

Let x = 10

f(10)=10/2 +8

      = 5 + 8

      = 13

5 0
3 years ago
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