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kiruha [24]
2 years ago
15

Examine the following expression.

Mathematics
2 answers:
svetoff [14.1K]2 years ago
6 0

Answer:

True expressions:

  • The constants, -3 and -8, are like terms.  
  • The terms 3 p and p are like terms.  
  • The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.
  • The expression contains six terms.
  • Like terms have the same variables raised to the same powers.

Step-by-step explanation:

The expression is:

p² - 3 + 3p - 8 + p + p³

False expressions:

  • The terms p squared, 3 p, p, and p cubed have variables, so they are like terms.  (They don't have the same exponents)
  • The terms p squared and p cubed are like terms.    (They don't have the same exponents)
  • The expression contains seven terms. (It contains 6 terms)
Lubov Fominskaja [6]2 years ago
5 0

Answer:

The constants, -3 and -8, are like terms.  

The terms 3 p and p are like terms.  

The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.  

The expression contains six terms.  

Like terms have the same variables raised to the same powers.

Step-by-step explanation:

edgenuity

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If the length of the hypotenuse of a right triangle is 39 millimeters and the length of one leg is 15 millimeters what is the le
Genrish500 [490]

Answer:

36 millimeters

Step-by-step explanation:

From Pythagoras theorem, the square of the hypotenuse is equal to the sum of the square of the two other legs

In mathematical terms;

a^2 = b^2 + c^2

Let a represent the hypotenuse = 39 mm and the length of one leg, say c, is 15 mm

Slotting in the values of a and b

39^2 = b^2 + 15^2

1521 = b^2 + 225

collect like terms

1521 - 225 = b^2

1296 = b^2

Take the square root of both sides

36 = b

Therefore b = 36 mm

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3 years ago
Divide f(x) by d(x), and write a summary statement in the form indicated.
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( x^4 - 4 x³ + 2 x² - 4 x + 1 ) : ( x² + 1 )   =  x² - 4 x + 1
- x^4             - x²
------------------------
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            4 x³        + 4 x
         -----------------------
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                   - x²   - 1
                ----------------
                   R ( x ) = 0
( x^4 - 4 x³ + 2 x² - 4 x + 1) =  ( x² + 1 ) ( x² - 4 x + 1 )
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3 years ago
Solve the inequality<br>w/2&lt;-42​
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Answer:

w<-84

Step-by-step explanation:

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4 0
2 years ago
Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry foo
Ghella [55]

Answer:

PART A: Inequality (a)

Solve for y

The graph of y ≥ ⅓(8-x) is represented by the upper red line and all points in the shaded area below it. The line is solid because points on the line satisfy the conditions.

 Inequality (b)

Solve for y

The graph of y ≥ 2 - x is represented by the lower blue line and all points in the shaded area above it. The line is solid because points on the line satisfy the conditions. The solution lies in the purple area. It consists of all combinations of x and y that make y ≥ ⅓(8 - x) and y ≥ 2 - x. A practical but not a mathematical condition is that all values of x and y must be zero or positive numbers (for example, you can't have -2 servings of food), so I have plotted only the numbers in the first quadrant.

PART B: If a point is a solution of the system, then the point must satisfy both inequalities of the system.

For x=8, y=2. Verify inequality A  is not true. So the point does not satisfy inequality A. Therefore, the point is not included in the solution area for the system.

PART C: I choose the point (3,1) which is included in the solution area for the system.

That means Michelle buys 3 serves of dry food and 1 serving of wet food.

Step-by-step explanation:

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3 0
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MakcuM [25]

Answer:

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Step-by-step explanation:

1) You can buy 4 brownies for $2 each = 2*4 = $8

The rest you can buy cookies = 5 cookies = $5

$8+$5=$13

2) You can buy 5 brownies and 3 cookies = $10+$3 = $13

3) You can buy 3 brownies and 7 cookies = $6+$7=$13

Equation: -

If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y

∴ $1*(x*1) + $2*(y*1) = $13

7 0
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