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3 years ago

Find the solution of the given system of equations

Mathematics

1 answer:

nignag [31]3 years ago

4 0

Answer:

Point form-

(3,-2)

Equation Form:

x=3, y=-2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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What is the volume of the portion of the aquarium without water in it? 111 cm³ 14,000 cm³ 32,200 cm³ 46,200 cm³

Talja [164]

Answer:

92511cm3

Step-by-step explanation:

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3 years ago

Nathan went shopping for a new camera because of a sale. The store was offering a 40% discount. If the price on the tag was $35,

tia_tia [17]

Answer:

The price after the discount but before the tax is $21

Step-by-step explanation:

Here, we are told there is a price off of 40% on an item that costs $35.

What we want to calculate is the value of what the price would be before the tax

We proceed by finding 40% of $35

Mathematically, that would be;

40/100 * 35 = $14

The price of the item before the tax is thus;

35-14 = $21

4 0

3 years ago

What is the slope of a trend line that passes through the points (–3, 3) and (18, 26)?

ipn [44]

Answer:

slope = $\frac{23}{21}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (18, 26)

m = $\frac{26-3}{18+3}$ = $\frac{23}{21}$

7 0

3 years ago

Read 2 more answers

30 POINTS! Consider the system of linear equations and the matrix equations below.

fiasKO [112]

Answer:

Option C is correct.

Step-by-step explanation:

-x+3y=2

4x-2y=22

In matrix form is represented as:

$\left[\begin{array}{cc}-1&3\\4&-2\end{array}\right] \left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}2&22\end{array}\right]$

AX=B

$X = A^{-1}B$

$A^{-1} = |A|/Adj A$

|A| = (-1)(-2)-(3)(4)

|A| = 2-12

|A| = -10

Adj A = $\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]$

A^-1 = -1/10 $\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]$

A^-1 = 1/10 $\left[\begin{array}{cc}2&3\\4&1\end{array}\right]$

X= A^-1 B

X = 1/10 $\left[\begin{array}{cc}2&3\\4&1\end{array}\right]$ $\left[\begin{array}{c}2&22\end{array}\right]$

X=1/10 $X=1/10\left[\begin{array}{c}2*2+3*22\\4*2+1*22\end{array}\right]\\X=1/10\left[\begin{array}{c}4+66\\8+22\end{array}\right]\\X=1/10\left[\begin{array}{c}70\\30\end{array}\right]\\X=\left[\begin{array}{c}70/10\\30/10\end{array}\right]\\X=\left[\begin{array}{c}7\\3\end{array}\right]$

So, x = 7 and y =3

Hence Option C is correct.

4 0

3 years ago

Read 2 more answers

The data shown in the table below represents the number of quarters Maria's aunt gives her every year for her birthday.

marta [7]

Answer:

the approximate weight of the little girl at an age of 14 years old will be 88 pounds.

Step-by-step explanation:

8 0

3 years ago