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a_sh-v [17]
3 years ago
9

A car travels for 4 hours at an average speed of 45mph and then 6hours at an average speed of 35mph. Work out the distance trave

lled.
Mathematics
1 answer:
UNO [17]3 years ago
3 0

Answer:

390 miles

Step-by-step explanation:

(45 x 4) + (35 x 6) = 390 miles

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Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you
Paul [167]

Answer:

a: no solutions

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Step-by-step explanation:

a:

In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.

b:

Since both of the equations are equal to y, we can set them equal to each other:

\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):

(x-2)^2 = 0

x = 2

Now, to find y, plug-in x to any of the equations:

y = 2*2-1 = 3

Therefore, the solution to this system of equation is (2, 3)

I hope this helped.

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3 years ago
What is the equation of the line that is parallel to the line y =1/3 x + 4 and passes through the point (6, 5)?
lianna [129]

Answer:

y = \frac{1}{3} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x + 4 ← is in slope- intercept form

with slope m = \frac{1}{3}

Parallel lines have equal slopes , then

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = \frac{1}{3} x + 3 ← equation of parallel line

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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2 years ago
18. Ten students from a school appear in one or more subjects for an inter school
Alja [10]

Answer:

Step-by-step explanation:

(G n m) = [Max, Anael]

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