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VMariaS [17]
3 years ago
5

9. Factorize: 6x2 - 19x + 14.​

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

Here, we want to factor the given polynomial

We have this as;

6x^2 - 19x + 14

= 6x^2 -12x-7x + 14

= 6x(x-2) -7(x-2)

= (6x-7)(x-2)

6x^2-19x + 14 = (6x-7)(x-2)

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A county has a population density of 257 people per square mile. The county population is 4288. What is the area of this county?
ladessa [460]

Answer:

The area of the country is 17 square miles

Step-by-step explanation:

To calculate the population density of the country. We employ the use of a mathematical formula. This can easily be obtained from the units of the density

The population density = Population of the country/area of the country

Since we are to calculate the area of the country, the equation becomes

Area of country = Population of country/population density of country

Area of country = 4288/257

Area of country = 16.68 square mile

To the nearest square mile, the Area of the country = 17 square mile

5 0
2 years ago
Find the value of x.
dimaraw [331]

Answer:

2\sqrt{77}

Step-by-step explanation:

Use the Pythagorean theorem. a^{2} +b^{2}=c^{2}

a and b are the two side lengths

c is the hypotenuse (value across from the right angle)

Plug in the values that you are given.

a^{2} +4^{2} =18^{2}

Solve for x

x^{2} =18^{2} -4^{2}

x^{2} =308

x=\sqrt{308}

x=2\sqrt{77}

5 0
2 years ago
perform the indicated operation write the answer with the correct number of significant digits 895.136 m + 276.51 m
Serggg [28]

Answer:

1171.65 m

Step-by-step explanation:

895.136m  \:  +  \: 276.51m \\  = 1171.646 \: m \\ following \: manipulation \: rules \\ in \: addition \: we \: take \: the \: least \: number \: of \: decimal \: places \\  = 1171.65 \: m \: (6 \: significant \: figures)

6 0
2 years ago
A tree grows in height by 21% per year. It is 2m tall after one year. After how many years will the tree be over 20m tall?
mariarad [96]
20/45 hope it helps have a good day
7 0
3 years ago
Read 2 more answers
The function of f(x) = 3x + 2 has a domain of -3 < x < 5. What is the domain of f-1(x)?
Flura [38]
<h3>Answer:    -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

6 0
3 years ago
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