Answer:
The value of x = 5 and y = 2
The correct answer is last option
Step-by-step explanation:
From the figure we can see that, subtraction of two matrices.
The resultant matrix shows the corresponding terms difference.
<u>To find the value of x</u>
1/2(x + 3) - (3*(-1)) = 7
x/2 + 3/2 +3 = 7
x/2 +3/2 = 7 - 3 = 4
x + 3 = 8
x = 8 - 3 = 5
x = 5
<u>To find the value of y</u>
8/2 -3 (y +1) = -5
4 - 3(y +1)/ = -5
3(y +1) = 4 + 5 = 9
y + 1 = 9 / 3 = 3
y = 3 - 1 = 2
Therefore the value of x = 5 and y = 2
The correct answer is last option
The simplest radical form of the expression is 
.
<h3>What is the simplification of power indices?</h3>
When we have indices in the form 
, we are going to find the cube root of the (ax)². This can be mathematically expressed as:
![\mathbf{=(\sqrt[3]{ax})^2 }](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%28%5Csqrt%5B3%5D%7Bax%7D%29%5E2%20%7D)
From the given information:
![\mathbf{=(\sqrt[3]{8x^55y^3} } )^2](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%28%5Csqrt%5B3%5D%7B8x%5E55y%5E3%7D%20%7D%20%29%5E2)
![\mathbf{=(\sqrt[3]{40x^5y^3} } )^2](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%28%5Csqrt%5B3%5D%7B40x%5E5y%5E3%7D%20%7D%20%29%5E2)
![= (\sqrt[3]{40x^5} \times \sqrt[3]{y}^3)^2](https://tex.z-dn.net/?f=%3D%20%28%5Csqrt%5B3%5D%7B40x%5E5%7D%20%5Ctimes%20%20%5Csqrt%5B3%5D%7By%7D%5E3%29%5E2)
Learn more about indices here:
brainly.com/question/170984
#SPJ1
Answer:
(8 - 12 )
Step-by-step explanation:
Given
x - 
y = 8
x + 
y = - 5
Multiply both equations through by 4 to clear the fractions
x - 2y = 32 → (1)
2x + 3y = - 20 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the x- term
- 2x + 4y = - 64 → (3)
Add (2) and (3) term by term to eliminate x
0 + 7y = - 84
7y = - 84 ( divide both sides by 7 )
y = - 12
Substitute y = - 12 into either of the 2 equations and solve for x
Substituting into (1)
x - 2(- 12) = 32
x + 24 = 32 ( subtract 24 from both sides )
x = 8
solution is (8, - 12 )
Answer:
The sum of the coefficients of the terms in (-1.5·x² + 0.5·x + 4)¹⁶ that have even degree is -4273411167.501
Step-by-step explanation:
The parameters given are;
f(-4) = -22
f(-1) = 2
f(2) = -1
g(x) = f(x)¹⁶
The function f(x) is presented as follows;
f(x) = a·x² + b·x +c
We have;
-22 = a·(-4)² + b·(-4) +c
-22 = a·16 - 4·b +c ..............(1)
2 = a·(-1)² + b·(-1) +c
2 = a - b +c...........................(2)
-1 = a·(2)² + b·(2) +c
-1 = 4·a + 2·b +c...................(3)
Solving the equations (1), (2), and (3) by using an online linear systems solver, we get;
a = -1.5, b = 0.5, c = 4
Therefore, f(x) = -1.5·x² + 0.5·x + 4
f(x)¹⁶ = (-1.5·x² + 0.5·x + 4)¹⁶ which gives the coefficients of the even terms as follows;
656.841 - 19267.331 + 248302.054 - 1772904.419 + 6735603.932 - 2868054.635 - 119602865.901 + 750783340.827 + -2542435585.611 + 5338903756.992 - 6048065910.25 -1031335136 + 17223697920 - 32238338048 + 32107397120 - 17716740096 = -4273411167.501.
The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²
We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²
This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x
The area,
88 = (20 - 2x)(14 - 2x)
Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²
Divide the equation by 4,
22 = 70 - 17x + x²
Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.
Thus, the thickenss is equal to 58.2 in
