MATHEMATICS HIGH SCHOOL

What is the slope of the line through (-3,3) and (-1,-1)
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Answers

Answer 1
Answer:

Answer:

x + 1 < 2x - 3

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A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters. The expression below represents the area of the floor of the room in square meters:(x − 4)(3x − 1) Which of the following simplified expressions represents the area of the floor of the conference room in square meters? (5 points) A.x2 − 13x + 4 B.3x2 − 13x + 4 C.3x2 − 11x + 4 D.x2 − 12x + 4

Gender: Grade 9 Grade 10 Grade 11 Grade 12Male: 53 19 27 37
Female: 31 42 50 61
What percentage of females are in grades 11 and 12? Round to the nearest percent.
27%
35%
60%
67%

Answers

(50+61) / (31 +42 +50 +61) * 100 = 111/187 * 100 = 59.35

The third option: 60%

Answer:

60%

Step-by-step explanation:

Solve the system of equations; x - 2y = 2 and 3x - 5y = 9 by writing and solving a matrix equation. Show all your work.

Answers

y=(28)/(11)
x=(3)/(11)

Working;
Start by forming a matrix as shown below;
\left[\begin{array}{ccc}1&-2\n3&5\end{array}\right] ( \left[\begin{array}{ccc}x\ny\end{array}\right])= ( \left[\begin{array}{ccc}2\n9\end{array}\right])

Step II
Finding the inverse of the matrix as shown below;
Determinant;
(1*5)-(3*(-2)=11
Inverse;
(1)/(11) \left[\begin{array}{ccc}5&2\n-3&1\end{array}\right] \left[\begin{array}{ccc}1&-2\n3&5\end{array}\right] \left[\begin{array}{ccc}x\ny\end{array}\right]= (1)/(11) \left[\begin{array}{ccc}5&2\n-3&1\end{array}\right] \left[\begin{array}{ccc}2\n9\end{array}\right]

Evaluating further;
(1)/(11) \left[\begin{array}{ccc}11&0\n0&11\end{array}\right] \left[\begin{array}{ccc}x\ny\end{array}\right] = (1)/(11) \left[\begin{array}{ccc}28\n3\end{array}\right]

x=(28)/(11) and y = (3)/(11)

For what values a is the equation (1/a+2)=(1/a)+(1/2) true?

Answers

There is no value of 'a' that makes the equation true. 
In other words, the equation has no solution.

Here's how you can tell:

                                           (1/a + 2)  =  (1/a) + (1/2)

Eliminate parentheses:      1/a + 2  =  1/a   +   1/2

Subtract  1/a  from
each side:                                      2  =                1/2

Is there any value of  'a'  that can make  2 = 1/2 ?
I can't think of one.
So the equation has no solution.

Rachel deposits $100 in a bank account and she gets 8% simple interest on it. Which linear model gives the return on her investment in terms of time t in years?a. R = 8t – 100
b. R = 8t + 100
c. R = 2t + 100
d. R = 88t + 100
e. R = 3t + 108

Answers

The answer would be B because the 100 stays in there and you are adding 8% per year. Hope this helps.

Omar found 56 cents under a couch cushion! He lost half through a hole in his pocket. How much did most lose?

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