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Marina86 [1]
2 years ago
10

(06.02 LC) Simplify (3x² - 2) + (2x² - 6x + 3).

Mathematics
2 answers:
Anni [7]2 years ago
8 0

Answer: x = 1, x = -1

Step-by-step explanation:

(3x^{2} -2) + (2x^{2} -6x+3)\\3x^2 -2 +2x^2 -6x+3\\5x^2-6x^2 +1\\-x^2 +1=0\\-x^2 = -1\\x^2=1\\\sqrt{x^2}=\sqrt{1}  \\x = 1, -1

Gwar [14]2 years ago
4 0
Group like terms, 3x^2 and 2x^2, then -6x, then -2 and 3. By grouping like terms you’ll be able to simplify the polynomial
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What is the value of x in the equation 3x − 31 = 76
Maru [420]
Add 31 to both sides.

<span><span><span><span>3x</span>−31</span>+31</span>=<span>76+31

</span></span><span><span>3x</span>=107
</span>
Divide both sides by 3.

<span><span><span>‌<span><span><span>3x/</span>3</span></span></span>‌</span>=<span><span>‌<span>107/3
</span></span>‌</span></span><span>x=<span>‌</span></span>\frac{107}{3}
3 0
3 years ago
An equilateral triangle has a side length of 10 inches. find the length of the triangle altitude
olga55 [171]
An equilateral triangle has all side lengths the same, and all angles are 60 degrees. Using this we can split the triangle along its altitude to get two right triangles with a hypotenuse of length 10 and a base of 1/2 of the original length, so 5. Now we can either use the Pythagorean theorem (a^2+b^2=c^2) or the fact that it is a 30 60 90 triangle (angles measure at 30 60 and 90 degrees) Pythagorean theorem is probably easier.
It stated that the squares of the two legs of a right triangle add to the square of the hypotenuse. So a(the altitude)^2+5(the base)^2=10(the hypotenuse)^2
A^2+5^2=10^2
A^2+25=100
A^2=75
A=sqrt(75)
A=5*sqrt(3)

Final answer:
The altitude of an equilateral triangle with side length 10 is 5sqrt(3), or about 8.66
6 0
2 years ago
An aquarium holds 12 liters of water. How many aquariums can we fill with 48 liters of water? Include fractions of aquariums, if
MrRissso [65]

Answer:

4 aquariums

Step-by-step explanation:

48 divided by 12=4

4 0
3 years ago
Find the x-intercept and the y-intercept. then graph the equation. 11x+6y=-22
ra1l [238]

Answer:

x = \frac{-6}{11}y - 2

y = \frac{-11}{6}x + \frac{-11}{3}

Step-by-step explanation:

Let's solve for x.


y = \frac{-11}{6}x + \frac{-11}{3}


Step 1: Add -6y to both sides.

11x+6y+−6y=−22+−6y

11x=−6y−22

Step 2: Divide both sides by 11.

\frac{11x}{11} = \frac{-6y - 22}{11}

x = \frac{-6}{11}y - 2


Let's solve for y.

11x+6y=−22

Step 1: Add -11x to both sides.

11x+6y+−11x=−22+−11x

6y=−11x−22

Step 2: Divide both sides by 6.

\frac{6y}{6} = \frac{-11x - 22}{6} \\

y = \frac{-11}{6}x + \frac{-11}{3}


4 0
3 years ago
The band must earn $75 for a trip. Band members already earned $35. Write and solve an inequality to find out how much they will
Pepsi [2]
They will need 40 more dollars
8 0
3 years ago
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