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SOVA2 [1]
4 years ago
7

Multiply.Express your answer in standard form.(3 points)(x² -4x + 3)(-3x²+ 7x –1)

Mathematics
1 answer:
bija089 [108]4 years ago
3 0

Answer:

-3x^{4} + 19x^{3} - 38x^{2} + 25x - 3

Step-by-step explanation:

1) distribute x² into (-3x² + 7x - 1) to get: -3x^{4} + 7x³ - x²

2) distribute -4x into (-3x² + 7x - 1) to get: 12x³ - 28x + 4x

3) distribute 3 into (-3x² + 7x - 1) to get: -9x² + 21x - 3

4) combine all the answers together into one equation:

-3x^{4} + 7x³ - x² + 12x³ - 28x² + 4x - 9x² + 21x - 3

5) combine like terms:

7x³ + 12x³ = 19x³

-x² + -28x² + -9x² = -38x²

4x + 21x = 25x

6) combine answers together into one equation:

-3x^{4} + 19x³ - 38x² + 25x - 3

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Nojo is 5 years older then jacob . the product of their ages is 84 . now old is noj
mixer [17]
We can make two simple equations to express their ages to each other, then solve for one of the variables. Let n be Nojo's age and j be Jacob's age.

n(j) = 84
n - 5 = j
Use substitution to get only one variable in an equation.

n (n - 5) = 84
n^2 - 5n = 84

Since we have n to the power of 2, this equation has two possible answers, but since we are given four possible answer, just substitute them in the equation until one makes the left side equal 84.

<span>n^2 - 5n = 84
</span>12^2 - 5 (12) = 84
144 - 60 = 84
84 = 84

The answer is C = 12
5 0
3 years ago
Alex and Leandro purchase two matinee movie tickets. A matinee ticket costs , a drink costs , and a bag of popcorn costs . Defin
REY [17]

Answer:  (2p + 1.5d)  + (5*(2)) = T

Step-by-step explanation: (2p + 1.5d)  + (5*(2)) = T

Since there are no costs, i'll make up my own uwu;

Matinee = $5

Popcorn = $2

Drink = $1.5

T = total

(2p + 1.5d)  + (5*(2)) = T

2p ($2 for each bag of popcorn - p represents popcorn)

1.5d ($1.5 for each drink, - d represents drinks)

5*2 ( 5 * 2 because we are already given the amount of matinee tickets they buy.

5 0
3 years ago
What is the mean of Variable A? Express answer to one decimal place. Scatter plot on a first quadrant coordinate grid. The horiz
ivanzaharov [21]
Variable A is x. Variable B is y. (x,y)

2 , 2, 4, 5, 6, 7, 8, 9

Mean is computed by adding all the numbers in the data set and dividing it by its count.

2 + 2 + 4 + 5 + 6 + 7 + 8 + 9 = 43

43 / 8 = 5.375 rounded to 5.4
4 0
3 years ago
Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut
mixas84 [53]

Using a system of equations, it is found that the cost of a t-shirt is of $3 and the cost of a notebook is of $5.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

  • Variable x: Cost of a t-shirt.
  • Variable y: Cost of a notebook.

Considering the costs of the purchases of Clubs A and B, the matrices give the equations as follows:

  • 3x + 2y = 19.
  • x + y = 8 -> y = (8 - x).

Hence, replacing the second equation into the first:

3x + 2(8 - x) = 19

x = 3.

y = 8 - x = 8 - 3 = 5.

The cost of a t-shirt is of $3 and the cost of a notebook is of $5.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0
2 years ago
A sandwich shop offers 5 types of bread, 4 types of cheese, and 7 types of meat to choose from. Each sandwich will have 1 type o
katrin [286]

Answer:

I'm pretty sure the answer is B also known as 35

5 0
3 years ago
Read 2 more answers
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