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Mnenie [13.5K]
3 years ago
10

Apply the Distributive Property and simplify. - 8(x + 3) = 24 - 8x + = 24

Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

Answer:

x=-6

Step-by-step explanation:

-8(x+3)=24 first, divide both sides to get x+3=-3

then move the constant to the right and change its sign to get x=-3-3 and calculate to get your answer.

hope this helps!

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Use the augmented matrix to determine if the linear system is consistent. Is the linear system represented by the augmented matr
Crazy boy [7]

Answer:

The correct option is (A).

Step-by-step explanation:

If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.

\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]

Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:

\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]

Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.

Thus, the correct option is (A).

8 0
4 years ago
What is the discriminant of the quadratic equation: (multiple choice)
Dominik [7]

Answer:

85

Step-by-step explanation:

<em>The equation for the discriminant is </em>

b^2-4(a)(c)

<em>Plug your numbers in from the equation. </em>

<em>1=a, -7=b, -9=c</em>

<em />

(-7)^2-4(1)(-9)

49-(-36)

49+36

85

6 0
4 years ago
How to find the perimeter of a square one side is 10x other side is 6x+8?
Yanka [14]
To find the perimeter of the square, you add all four sides together:
10x + 10x + (6x + 8) + (6x + 8)
20x + 12x + 16 = P
32x + 16 = P

you have to find x to get the actual perimeter. Since the shape is a square, all 4 sides are equal, so you can set 10x and (6x + 8) as equal to each other.
10x = 6x + 8
4x = 8
x = 2

Now you just plug in x and finish the rest of the problem, and you have the answer:
32(2) + 16 = P
64 + 16 = P
P = 80

(if you find this helpful, marking this as the brainliest answer would make my day :)
4 0
3 years ago
2+2<br> uhhh help plzzzzzz
likoan [24]

Answer:

6

Step-by-step explanation:

4

4 0
3 years ago
A bank is offering 3.5% simple interest on a savings account. If you deposit
arsen [322]

Answer: $525

Step-by-step explanation:

The formula for Simple interest is calculated as PRT where

P = Principal = $7500

R = Rate = 3.5%

T = Time = 2 years

Interest = PRT

= 7500 × 3.5% × 2

= 7500 × 0.035 × 2

= $525

5 0
3 years ago
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