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A construction worker estimates that a kitchen remodel will take 1 person 112 hours. If 4 people work on the job for 7 hours a d

Blababa [14]

It will take them 16 days to complete the job

3 0

3 years ago

Consider the system of equations.

Harman [31]

The solution to the system of equations x + 2y = 1 and -3x-2y = 5 is:

x = -3, y = 2

The given system of equations:

x + 2y = 1............(1)

-3x - 2y = 5..........(2)

This can be written in matrix form as shown:

$\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Find the determinant of $\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right]$

$\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle = 4$

$\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12$

$\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8$

$x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3$

$y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2$

The solution to the system of equations x + 2y = 1 and -3x-2y = 5 is:

x = -3, y = 2

Learn more here: brainly.com/question/4428059

3 0

2 years ago

Use the quadratic formula to determine the exact solutions to the equation. 6x2+4x−3=0 Enter your answers in the boxes. x = or x

Black_prince [1.1K]

The quadratic formula is x= -b +/- √b²-4ac / 2a

In this problem,

a=6
b=4
c=-3

Now, we can plug this into the formula:

x= -4 +/- √4²-(4)(6)(-3) / (2)(6)
x= -4 +/- √16+72 / 12
x= -4 +/- √88 /12
x= -4 +/- 2√22 /12
x= -2 +/- √22 / 6

So,

x= -2 + √22 / 6
x= -2 - √22 / 6

8 0

3 years ago

Read 2 more answers

Part B: Raymond claims that = 74. Rose argues that a

N76 [4]

Answer:

there is no real question, once you add one I'll be glad to help, but with this knowledge, I can't

Step-by-step explanation:

8 0

3 years ago

Write an equation of the line that passes through (-1,2) with a slope of 4

Iteru [2.4K]