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MArishka [77]
3 years ago
6

Caleb drives for 3 hours at 15 mph. how far does he travel

Mathematics
1 answer:
atroni [7]3 years ago
7 0
He travels approximately 45 miles
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Write 4.63 x 10^-3 in standard notation
Ierofanga [76]

Hello!

4.63 x 10^-3 = 0,00463

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2 years ago
How many meters are in a millimeter
Naddika [18.5K]
There are 1000 millimeters in a meter and 0.001 meters in a millimeter
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3 years ago
Read 2 more answers
Carlos owns an orchard. His apple trees produced 315 bushels of apples. Each bushel of apples weighs about 48 pounds. There are
Anna71 [15]
If
1 bushel = 48 pounds
and 1 pound = 3 apples
       48 pounds = x apples               cross multiply
x apples = 48 X 3 ==> 144 apples
1 bushel = 144 apples (because 48 pounds = 1 bushel)
315 bushel = x apples
x apples = 144 X 315
x = 45360 apples
3 0
2 years ago
the sum of the three number is 92. the third is 3 times the first, the first number is 7 less than the second. what are the numb
vichka [17]
Let x represent the first number, y represent the second, and z represent the third.

x + y + z = 92
z = 3x
x = y - 7

Solve x = y - 7 for y.
x = y - 7
x + 7 = y

Fill in y and z so that we only have to worry about x for now.

x + y + z = 92
x + (x + 7) + (3x) = 92
x + x + 7 + 3x = 92
5x + 7 = 92
5x = 92 - 7
5x = 85
x = 85/5
x = 17

Solve for y. 
y = x + 7
y = (17) + 7
y = 24

Solve for z.
z = 3x
z = 3(17)
z = 51

So x = 17, y = 24, and z = 51. 
8 0
3 years ago
Find all roots given that x = 3 + i is a solution. <br><br> x^4 - 10x^3 + 29x^2 - 10x - 50 = 0
Basile [38]

Answer:

x = 3 + i, x = 3 - i , x = 5 , and x = -1

Step-by-step explanation:

We know that given the polynomial with real coefficients, if x = 3 + i is a root, then x = 3 - i must be another root. These two roots can combine multiplicative factors as shown:

(x - 3 - i) * (x - 3 + i) = (x-3)^2 + 1 = x^2 - 6 x + 9 + 1 = x^2 - 6 x + 10

Then we divide the given polynomial: x^4 - 10x^3 + 29x^2 - 10x - 50  by the quadratic one we just found, and get a perfect division:

{x^4 - 10x^3 + 29x^2 - 10x - 50} / {x^2 - 6 x + 10} = x^2 - 4 x - 5

which can be factored out by grouping as shown below:

x^2 - 4 x - 5 = x^2 - 5 x + x - 5 = x (x - 5) + x - 5 = (x - 5 ) * (x + 1)

then the full factor form of the quartic polynomial given is:

(x - 3 - i) * (x - 3 + i) * (x - 5 ) * (x + 1)

and therefore the associated roots are:

x = 3 + i, x = 3 - i , x = 5 , and x = -1

5 0
3 years ago
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