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artcher [175]
4 years ago
11

4x^2 = 92 + 7x solve the equation using the guadratic formula, show all work

Mathematics
1 answer:
katovenus [111]4 years ago
4 0
4x^2=92+7x\ \ \ \ |-4x^2\\\\-4x^2+7x+92=0\\\\a=-4;\ b=7;\ c=92\\\\b^2-4ac=7^2-4\cdot(-4)\cdot92=49+1472=1521\\\\\sqrt{b^2-4ac}=\sqrt{1521}=39\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_1=\dfrac{-7-39}{2\cdot(-4)}=\dfrac{-46}{-8}=\dfrac{23}{4}\\\\x_2=\dfrac{-7+39}{2\cdot(-4)}=\dfrac{32}{-8}=-4


\text{Answer:}\ A.\ \left\{\dfrac{23}{4};\ -4\right\}
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Step-by-step explanation:

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Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable. a. The number
Bumek [7]

Answer:

a. Discrete

b. Discrete

c. Not a random variable

d. Continuous

e. Discrete

f. Continuous

Step-by-step explanation:

The discrete random variable is countable while continuous random variable is measurable.

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b. The number of text book authors are also countable so it is a discrete random variable.

c. The political party affiliation of adults is not a random variable because the political party affiliation depends on person's interest and it cannot be randomly assigned to person. Also random variable is the numerical outcome of random experiment whereas political affiliation is the categorical variable that results in non numerical responses such as Democrat, Republicans etc.

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5 0
3 years ago
The sum of the angles in a hexagon is 720°.
qwelly [4]

Given:

The sum of the angles in a hexagon is 720°.

m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.

To find:

(a) Equation to solve the value of x.

(b) The value of x.

(c) The measure of angle C.

Solution:

(a)

We have,

m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.

The sum of the angles in a hexagon is 720°.

m\angle A+m\angle B+m\angle C+m\angle D+m\angle E+m\angle F =270^\circ

90^\circ+126.87^\circ+(3x)^\circ+90^\circ+143.13^\circ+143.13^\circ =270^\circ

90+126.87+(3x)+90+143.13+143.13 =720

Therefore, the required equation is 90+126.87+(3x)+90+143.13+143.13 =720.

(b)

On solving the above equation, we get

593.13+3x =720

3x =720-593.13

3x =126.87

Divide both sides by 3.

x =\dfrac{126.87}{3}

x =42.29

Therefore, the value of x is 42.29.

(c)

We need to find the measure of angle C.

m\angle C=(3x)^\circ

m\angle C=(3\times 42.29)^\circ

m\angle C=126.87^\circ

Therefore, the measure of angle C is 126.87 degrees.

7 0
3 years ago
What's is (7x10^5) x (3x10^2)
denpristay [2]

Answer:

If you expand that, it comes out to 200000000, or in scientific notation, 2.0 × 10⁸.

Step-by-step explanation:

Starting with:

(7 × 10⁵) × (3 × 10²)

Since everything is multiplied, we can drop the brackets:

= 7 × 10⁵ × 3 × 10²

Now we can multiply seven by three, and both powers of ten:

= 20 × 10⁷

We can expand this now as

200000000

or in proper scientific notation:

2.0 × 10⁸

8 0
3 years ago
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