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RUDIKE [14]
3 years ago
9

Solve for x in the equation 3 x squared minus 18 x + 5 = 47.

Mathematics
1 answer:
Rudik [331]3 years ago
5 0

Answer:

x = -1.796, 7.796

Step-by-step explanation:

3x² - 18x + 5 = 47

3x² - 18x - 42 = 0

use quadratic equation

x = -1.796, 7.796

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How much distance would an air craft cover if it flew 3 hours at a speed 850 kilometers per hour
makvit [3.9K]

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2550 Kilometers

Step-by-step explanation:

850 times 3 equals 2550

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Peter drive 320 miles in 8 hours . calculate his average speed .
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Answer: 40

Step-by-step explanation:

You will take the miles he drove and divided it by the time it took him to get there

320/8=40

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Solve the 2x^2 - 5 = 13
DochEvi [55]

Answer:

x=3

x=−3

Step-by-step explanation:

2x^2 - 5 = 13

Subtract 13 from both sides.

2x^2 - 5 - 13 = 0

Subtract 13 from −5 to get −18.

2x^2 - 18 = 0

Divide both sides by 2.

x^2 - 9 = 0

Consider x^2−9. Rewrite x^2−9 as x^2−3^2. The difference of squares can be factored using the rule: a^2−b^2=(a−b)(a+b).

(x−3)(x+3)=0

To find equation solutions, solve x−3=0 and x+3=0.

x=3

x=−3

4 0
3 years ago
Mary has saved $17.50 in the past 3 weeks.at This rate , how much will she save in 15 weeks ?
Oksanka [162]

Answer:

$87.60

Step-by-step explanation:

Assuming that mary is on a fixed income rate, we can calculate that Mary is making approximately $5.84 per week.

17.50 / 3 = 5.833333.... -> <em>5.84</em>

Now we multiply this number by 15 to get the amount of money she saves over this time.

5.84 * 15 = <em>87.6</em>

<em>So, we can see that Mary has saved $87.60 in 15 weeks.</em>

3 0
3 years ago
Express the function H in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions forf(x) and
wolverine [178]

Answer:

We know that:

H(x) = |1 - x^3|

and:

We want to write H(x) as  f( g(x) ) , such that for two functions:

So we want to find two functions f(x) and g(x) such that:

f( g(x) ) = |1 - x^3|

Where neither of these functions can be an identity function.

Let's define g(x) as:

g(x) = x^3 + 2

And f(x) as:

f(x) = | A - x|

Where A can be a real number, we need to find the value of A.

Then:

f(g(x)) = |A - g(x)|

and remember that g(x) = x^3 + 2

then:

f(g(x)) = |A - g(x)| = |A - x^3 - 2|

And this must be equal to:

|A - x^3 - 2| =  |1 - x^3|

Then:

A = 3

The functions are then:

f(x) = | 3 - x|

g(x) = x^3 + 2

And H(x) =  f( g(x) )

6 0
3 years ago
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