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tester [92]
3 years ago
5

Multiply (x+6)(x+7). What is the product?

Mathematics
2 answers:
pshichka [43]3 years ago
6 0

Answer:

X^2 + 13x + 42

Step-by-step explanation:

(X+6)(x+7)

x^2 + 7x + 6x + 42

X^2 + 13x + 42

zaharov [31]3 years ago
3 0

Answer:

x^2 +13x+42

Step-by-step explanation:

(x+6)(x+7)

FOIL

first: x*x = x^2

outer: 7x

inner:6x

Last: 6*7 =42

Add them together

x^2+7x+6x +42

Combine terms

x^2 +13x+42

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Old McDonald has some chickens and some cows. He counted 56 heads and 116 legs. How many chickens and how many cows does old McD
Elza [17]

Answer: old McDonald has 54 chickens and 2 cows.

Step-by-step explanation:

Let x represent the number of chickens that old McDonald have.

Let y represent the number of cows that old McDonald have.

He counted 56 heads. A chicken and a cow has one head each. It means that

x + y = 56

He counted 116 legs. A chicken has 2 legs and a cow has 4 legs. It means that

2x + 4y = 116 - - - - - - - - -1

Substituting x = 56 - y into equation 1, it becomes

2(56 - y) + 4y = 116

112 - 2y + 4y = 116

- 2y + 4y = 116 - 112

2y = 4

y = 4/2 = 2

x = 56 - y = 56 - 2

x = 54

6 0
3 years ago
Select the true statement about triangle ABC.
zmey [24]

Answer:

C

Step-by-step explanation:

sin C=12/13

cos A=12/13

so sin C=cos A

3 0
2 years ago
If $1800 is invested at a rate of 1.4% compounded continuously find the number of years it will take for the balance to reach $2
Ede4ka [16]

Answer:4

Step-by-step explanation:

8 0
3 years ago
Solve the system by using a matrix equation <br><br>7x-4y=4 <br><br>10x-6y=2
Andrei [34K]

Answer:

<h2>The solution to the system of equation is x = 8, y = 13</h2>

Step-by-step explanation:

The system of equation using matrix equation can be solved using crammers rule. Given the equation;

7x-4y=4

10x-6y=2

The equation will be rewritten in the format AX = B

matrix A will be 2*2 matrix

X will be a column matrix containing the variables

B will be a column matrix

\left[\begin{array}{cc}7&-4\\10&-6\\\end{array}\right] \left[\begin{array}{c}x&y\\\\\end{array}\right] = \right] \left[\begin{array}{c}4&2\\\\\end{array}\right]

first we will find the determinant of the matrix A

|A|=7(-6)-(10)(-4)\\|A|= -42+40\\|A|= -2

To get the value of x, we will substitute the column matrix at the right hand side to replace the first column pf matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.

|X|=\left[\begin{array}{cc}4&-4\\2&-6\\\end{array}\right]\\|X|= -24+8\\|X|=-16

x = |X|/|A|

x = -16/-2

x = 8

Similarly for y, we will substitute the column matrix at the right hand side to replace the second column of matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.

|Y|=\left[\begin{array}{cc}7&4\\10&2\\\end{array}\right]\\|Y|= 14-40\\|Y|=-26

y = |Y|/|A|

y = -26/-2

y = 13

The solution to the system of equation is x = 8, y = 13

3 0
3 years ago
Which number is irrational? Answer choices given below.
bogdanovich [222]
I hope this helps you

8 0
3 years ago
Read 2 more answers
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