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Scorpion4ik [409]
3 years ago
12

Simplify the expression 4x(2x2 − 7x + 3). This one is killing me..

Mathematics
1 answer:
Papessa [141]3 years ago
5 0
Use:\\distributive\ property:a(b+c)=ab+ac\\commutative\ property:a\cdot b=b\cdot a\\assiocative\ property:a\cdot(b\cdot c)=(a\cdot b)\cdot c\\and\ a^n\cdot a^m=a^{n+m}\\-----------------------\\\\4x(2x^2-7x+3)=(4x)(2x^2)+(4x)(-7x)+(4x)(3)\\\\=(4\cdot2)(x^1\cdot x^2)-(4\cdot7)(x^1\cdot x^1)+(4\cdot3)(x)\\\\=8x^{1+2}-28x^{1+1}+12x\\\\=\boxed{8x^3-28x^2+12x}
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Which of the following describes the correct process for solving the equation 2x + 6 =22 and arrives at the correct solution
olga nikolaevna [1]

Answer:

Step-by-step explanation:

Starting with 2x+6=22

You subtract 6 from each side of the equation:

2x=16

You want to isolate the "x" so you divide each side by 2.

x = 8

check your answer: 2x + 6 = 22

2(8) + 6 = 22

16 + 6 = 22

3 0
3 years ago
Covert 3.92 into a mixed number in simplest from
Kobotan [32]
First, take three off it, because that will form the whole-number part:
3.92 = 3 + 0.92

Next, read off the place value of the last digit. The 2 is in the 'hundredths' column, which means that 0.92 = 92/100:
3.92 = 3 + 92/100

Finally, simplify 92/100 by dividing top and bottom by 4 to get 23/25. Then, shove it all together:
3.92 = 3 23/25
8 0
3 years ago
Read 2 more answers
For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0?
Klio2033 [76]
When b=0
f(x)=ax^2+c

test each
A. with x^2-1, A is false
B. with -x^2-1, B is false
C. cannot find contradiction
D. the axis is actually x=0, 0 is nithere positive nor negative, false


answer is C

7 0
3 years ago
Read 2 more answers
The right triangle above with legs 7m and 3 m is inscribed in a circle. Find the circumference of the circle.
Eduardwww [97]

Answer:

23.9 m

Step-by-step explanation:

The hypotenuse of a right triangle inscribed in a circle is a diameter of the circle.  Using Pythagorean theorem:

c² = a² + b²

c² = 3² + 7²

c = √58

The circumference of the circle is pi times the diameter.

C = π√58

C ≈ 23.9

4 0
3 years ago
Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. 5x^6=30
Elina [12.6K]

Answer:

The real solutions are

x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35

Step-by-step explanation:

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.

To find the real solutions of the equation 5x^6=30:

\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x^6}{5}=\frac{30}{5}\\\\\mathrm{Simplify}\\\\x^6=6\\\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}\\\\x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35

7 0
3 years ago
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