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3 years ago

Given the quadratic function g(x)=x^2, find g(3x-2).

Mathematics

1 answer:

maxonik [38]3 years ago

7 0

Answer:

$g(3x-2) = (3x-2)^{2}$

Step-by-step explanation:

$g(x)=x^{2}$

To do this, you must substitute $3x-2$ for x in the equation g(x)

$g(3x-2) = (3x-2)^{2}$

Simplified this would be

$9x^{2} -12x+4$

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What is 751,447 rounded to the nearest hundred thousand

Gnesinka [82]

The answer is 800,000

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3 years ago

Read 2 more answers

What are the solutions to the equation x2−12x+100=0?

marysya [2.9K]

Answer:

$x=6+8i$

$x=6-8i$

Step-by-step explanation:

$x^2-12x+100=0$

solve by quadratic formula.

$\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}$

$\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}$

$\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}$

which is

$x=\frac{12+16i}{2}$

$x=\frac{12-16i}{2}$

Simplify.

$x=6+8i$

$x=6-8i$

Solved.

Hope this helps.

8 0

2 years ago

Un triángulo rectángulo tiene un área de 84 pies2 y una hipotenusa de 25 pies de largo. ¿Cuáles son las longitudes de sus otros

jolli1 [7]

Answer:

7 feet and 24 feet

Step-by-step explanation:

In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.

Let x feet and y feet be the lengths of triangle's legs.

By the Pythagorean theorem,

$x^2+y^2=25^2\\ \\x^2+y^2=625$

The area of the right triangle is half the product of its legs, thus

$84=\dfrac{1}{2}xy\\ \\xy=168$

Solve the system of two equations:

$\left\{\begin{array}{l}x^2+y^2=625\\ \\xy=168\end{array}\right.$

From the second equation:

$x=\dfrac{168}{y}$

Substitute it into the first equation:

$\left(\dfrac{168}{y}\right)^2+y^2=625\\ \\168^2+y^4=625y^2\\ \\y^4-625y^2+168^2=0\\ \\D=(-625)^2-4\cdot 168^2=(625-2\cdot 168)(625+2\cdot 168)=289\cdot 961=17^2\cdot 31\\ \\\sqrt{D}=17\cdot 31=527\\ \\y^2_{1,2}=\dfrac{-(-625)\pm 527}{2}=49,\ 576\\ \\y_1=7,\ y_2=-7,\ y_3=24,\ y_4=-24$

The length of the leg cannot be negative, so

$y_1=7\Rightarrow x_1=\dfrac{168}{7}=24\\ \\y_2=24\Rightarrow x_2=\dfrac{168}{24}=7$

6 0

3 years ago

A psychology student wishes to investigate differences in political opinions between business majors and political science major

Law Incorporation [45]

Answer:

Each business major student is more likely to be selected than each political science student. Stratified Sampling was used.

Step-by-step explanation:

It is not a random sample nor a simple random sampling because each business major student is more likely to be selected than each political science student. In order for this to be a simple random sampling process, she would have to select 200 out of the full 440 students (260+180). The process applied was stratified sampling.

4 0

4 years ago

Mike bought a soft drink for 4 dollars and 9 candy bars. He spent a total of 31 dollars. How much did each candy bar cost ?

Andre45 [30]

Answer:

$3 per candy bar

Step-by-step explanation:

:))

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3 years ago