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svlad2 [7]
3 years ago
12

Solve each equation. (2x - 1)(3x + 2) = x + 292

Mathematics
1 answer:
forsale [732]3 years ago
6 0
The answer would be X=7,-7
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A train leaves Roseville heading east at 6:00 am at 40 miles per hour. Another eastbound train leaves on a parallel track at 7:0
Molodets [167]

Answer:

At 11:00 am the both trains will be at same distance away from Roseville

Step-by-step explanation:

The first train was 40 miles away from Roseville at 7:00 am

After some time t the both trains will be at the same distance away from Roseville.

We will make equation for that situation

d- distance      v1= 40mph and v2= 50mph -  velocity

d =  v1*t + 40 = v2*t  => v2*t - v1*t = 40 => t (v2-v1) = 40 -> t = 40/ (v2-v1)

t = 40/(50-40) = 40/10= 4h      t = 4h

7:00 am * 4h = 11:00 am

Good luck!!!

6 0
3 years ago
WILL GIVE BRAINLIEST find the minimum value of the parabola y=x^2+42/5
Masja [62]

Answer:

Minimum value = (0, \frac{42}{5} )

  1. Set up the function in general form
  2. Determine the direction of the graph
  3. Calculate -b/2a
  4. Find the corresponding f(x) value
  5. Write your quadratic function in standard or vertex form

Please Mark Brainliest If This Helped!

5 0
2 years ago
Ice has a density of 0.92 g/cm3. What is the volume of 100 grams of ice? If the ice completely melted, what would the volume of
kicyunya [14]

Hello!

To find the volume of the water, we would need to use the density formula. The density formula is d = m/V.

In this formula, d is the density, m is the mass and V is the volume.

1. To find the volume of 100 grams of ice, we substitute the appropriate values into the formula and solve for the volume using basic algebra.

0.92g/cm³ = 100g/V (multiply both sides by V)

0.92g/cm³ · V = 100g (divide both sides by 0.92g/cm³)

V = 108.69 cm³.

The volume of 100 grams of ice is about 108.69 cm³.

2. To find the volume of the completely melted ice, we would use the same formula, but the density is now 1.00 g/mL.

1.00g/mL = 100g/V (multiply both sides by V)

1.00g/mL · V = 100g (divide both sides by 1.00g/mL)

V = 100 mL

Therefore, the volume of the melted ice is 100 mL.

<u>Final answers</u>:

  1. 108.69 g/cm³
  2. 100 mL
8 0
4 years ago
If f(x) = x^4-x^3+x^2 and g(x)= -x^2, where x does not = 0, what is (f/g)(x)?
Korvikt [17]

For this case we have the following functions:

f (x) = x ^ 4-x ^ 3 x ^ 2\\g (x) = - x ^ 2

By definition of composition of functions we have to:(f \ g) (x) = \frac {f (x)} {g (x)}

So:

\frac {f (x)} {g (x)} = \frac {x ^ 4-x ^ 3 x ^ 2} {- x ^ 2} = \frac {x ^ 4} {- x ^ 2} +\frac {-x ^ 3} {- x ^ 2}+ \frac {x ^ 2} {- x ^ 2} =

By definition of division of powers of the same base we have to place the same base and subtract the exponents:

\frac {f (x)} {g (x)} = - x ^ 2+x-1

ANswer:

(\frac {f} {g}) (x) = - x ^ 2 +x-1

3 0
3 years ago
A large tank holds 1.9 x 10^7 gallons of oil. How much oil can be stored in 9 tanks. Write your answer in scientific notation.
bearhunter [10]

Answer:

1.71 × 10^8 gallons

Step-by-step explanation:

1.9 × 10^7 = 19,000,000

19,000,000 × 9 = 171,000,000

171,000,000 in scientific notation is 1.71 × 10^8

5 0
3 years ago
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