The matrix exists as a set of numbers placed in rows and columns to create a rectangular array. The manager could achieve scalar multiplication on Matrix A, utilizing the scalar 1.15.
<h3>What is the matrix?</h3>
The matrix exists as a set of numbers placed in rows and columns to create a rectangular array. The numbers exist named the elements, or entries, of the matrix. Matrices contain wide applications in engineering, physics, economics, and statistics as well as in different branches of mathematics.
Increasing the price by 15% would mean we exist taking 100% of the value + another 15%
100 + 15 = 115%
115% = 115/100 = 1.15.
Multiplying every value in Matrix A by 1.15 will give the price raised by 15%.
Therefore, the correct answer is option c. by multiplying each entry of matrix a by 1.15.
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a. use the month for x
Income
point (1,1500) (2 3500)
slope (y2-y1)/(x2-x1) =(3500-1500)/(2-1)=2000
y-y1=m(x-x1)
y-1500 = 2000(x-1)
y-1500=2000x-2000
y = 2000x-500
Expenses
point (1,21400) (2 18800)
slope (y2-y1)/(x2-x1) =(18800-21400)/(2-1)=-2600
y-y1=m(x-x1)
y-21400 = -2600(x-1)
y-21400=-2600x+2600
y = -2600x+24000
b 2000x-500=-2600x+24000
add 2600x to each side
4600x -500 = 24000
add 500 to each side
4600x = 24500
divide by 4600
x=5.326 months
Solve the system by graphing
{2x - 4y = -4 -4y = -2x-4 y = 1/2x +1 slope is 1/2 y intercept 1
{3x - y = 4 -y =-3x +4 y = 3x-4 slope is 3 y intercept is -4
this one you have to do cannot graph here the solution is x=2, y=2
Classify the system without graphing
{y = 12 - 5x
{x - 4y = -6
independent system
dependent system is the same line and has infinite solutions
inconsistent system has no solutions (parallel lines)
Answer:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex
.
The vertex form of a quadratic is
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare
to
, you should see that
.
So the vertex (h,k) is (-4,-7).
Answer:
y=2-3
Step-by-step explanation:
using a calculator