Answer:
Step-by-step explanation:
<u>Given system:</u>
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
Step 1 :
(23 x 2 - 5) • x 3
Step 2 :
Trying to factor as a Difference of Squares :
Factoring: 8 x 2-5
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Answer:
(8 x 2 - 5) • x 3
Answer:
46656
Step-by-step explanation:
Answer:
A) 32.474 + 16.577
= 49.051
C) 19.213 + 4.578
= 23.791
Step-by-step explanation:
Place value may be defined as the positional system of a notation where the position of any number with reference to the decimal point determines the value of that number.
A) 32.474 + 16.577
= 49.051
B) 23.452 + 31.561
= 55.013
C) 19.213 + 4.578
= 23.791
D) 8.128 + 9.192
= 17.32
We have to find the expression which contains 1 in the thousandths place in the sum.
We know after the decimal point, the place value are designated as tenths, hundredths, thousandths, and so on.
Therefore, A). 49.051 and C). 23.791 has a place value of 1 in its thousandths place.
The question is incomplete. Here is the complete question:
Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which answers is correct.
(A) 
(B) ![\sqrt[3]{22}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B22%7D%20)
(C) ![\pm \sqrt[3]{22}](https://tex.z-dn.net/?f=%5Cpm%20%5Csqrt%5B3%5D%7B22%7D%20)
(D) 
Answer:
(B) ![\sqrt[3]{22}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B22%7D)
Step-by-step explanation:
Given:
The equation to solve is given as:
Here, the left hand side of the equation has a variable 'x' in exponent form. So, in order to solve for 'x', we have to eliminate the exponent.
For removing the exponent, we have to take cubic root on both the sides. As we know that,
![\sqrt[n]{x^n} =x](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5En%7D%20%3Dx)
So, taking cubic root on both the sides, we get
![\sqrt[3]{x^3}=\sqrt[3]{22}\\\\x=\sqrt[3]{22}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%3D%5Csqrt%5B3%5D%7B22%7D%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7B22%7D)
Therefore, the second student has written the correct answer and hence the correct option is (B).
