15/5 + 40.7 -3^4
= 3 + 40.7 - 81
= -37.3
hope this helps! :)))
x=31,y=−61
Put the equations in standard form and then use matrices to solve the system of equations.
5x+4y=1,3x−6y=2
Write the equations in matrix form.
(534−6)(xy)=(12)
Left multiply the equation by the inverse matrix of (534−6).
inverse((534−6))(534−6)(xy)=inverse((534−6))(12)
The product of a matrix and its inverse is the identity matrix.
(1001)(xy)=inverse((534−6))(12)
Multiply the matrices on the left hand side of the equal sign.
(xy)=inverse((534−6))(12)
For the 2×2 matrix (acbd), the inverse matrix is (ad−bcdad−bc−cad−bc−bad−bca), so the matrix equation can be rewritten as a matrix multiplication problem.
(xy)=(5(−6)−4×3−6−5(−6)−4×33−5(−6)−4×345(−6)−4×35)(12)
Do the arithmetic.
(xy)=(71141212−425)(12)
Multiply the matrices.
(xy)=(71+212×2141−425×2)
Do the arithmetic.
(xy)=(31−61)
Extract the matrix elements x and y.
x=31,y=−61
Answer:
Step-by-step explanation:
The first term is 9.
Term 1 is 9.
Term 2 is 9 - 3.
Term 3 is 9 - 2(3).
Term 4 is 9 - 3(3).
Term 5 is 9 - 4(5)
Notice the pattern in terms 3 through 5. For each term, subtract 1 less than the term number multiplied by 3 from 9.
For term n, you subtract 1 less than n times 3 from 9.
The nth term is 9 - (n - 1) * 3
Now we simplify the expression on the right side.
The expression for the nth term is
Let's see if it works.
n = 1
n = 2
n = 3
n = 4
n = 5
n = 6
As you can see, following this rule fro the nth term, we got the same first siz terms you got above. Our answer is correct.
Answer:
Answer: option <span>C. A garage door is 6 feet wider than it is tall. The area of one side of the garage door is 146 square feet.
Justification:
Call x the height of the garage door.
Then, the width is x + 6
And the area of one side is height * width = x (x + 6) = x^2 + 6x
That is equal to 146 feet^2
=> x^2 + 6x = 146
</span>
Answer:
-38
Step-by-step explanation:
-51 + 13(-4h + 57)^2
- Subsitute the value of h into the variable.
-51 + 13 [-4(14) + 57]²
- According to BEDMAS, solve the brackets first.
-51 + 13 (-56 + 57)²
-51 + 13(1)²
-51 + 13(1)
-51 + 13
= -38
