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dexar [7]
2 years ago
8

Evaluate the exponent expression 3x–4 ⋅ xy2 for x = –1 and y = 2.

Mathematics
1 answer:
ddd [48]2 years ago
8 0

Answer:

48

Step-by-step explanation:

Given,

x = - 1

y = 2

To find : The value of 3x - 4 ⋅ xy² ?

Substitute the given values of x and y in the expression 3x - 4 ⋅ xy².

3x - 4 ⋅ xy²

= 3 ( - 1 ) - 4 ⋅ ( - 1 ) ( 2 )²

= - 3 - 4 ⋅ - 1 ( 4 )

= - 12 ⋅ - 4

= 48

Note : -

When a negative number gets multiplied with a negative, the resulted number is a positive number.

You might be interested in
Which polynomial expression represents the area of the outer most square tile, shown below?
Andrew [12]

ANSWER

{x}^{2}  - 6x + 9

EXPLANATION

The outermost square tile has side length,

l = x - 3

The area of a square is given by;

Area= {l}^{2}

We substitite the given expression for the side length into the formula to obtain,

Area= {(x - 3)}^{2}

Area= {(x - 3)}(x - 3)

We expand using the distributive property to obtain;

Area=x {(x - 3)} - 3(x - 3)

This gives us:

Area= {x}^{2}  - 3x - 3x  + 9

Area= {x}^{2}  - 6x + 9

The last choice is correct.

7 0
3 years ago
Read 2 more answers
Ella is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee t
Ronch [10]

Answer:52000

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Leia cuts congruent triangular patches with an area of 63 square centimeters from a rectangular piece of fabric that is 27 centi
m_a_m_a [10]
<span>- The triangular patches have an area of 63 cm</span>² (A1= 63 cm²)<span>.
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide. 

 1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:

 A2=LxW
 
 L=27 centimeters (The lenght of the rectangle)
 W=21 centimeters (The width of the rectangle)

 2. When you substitute the values of L and W into the formula, you obtain:

 A2=(27 cm)(21 cm)
 A2=567 cm</span>²
<span>
 3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:

 A2/A1= 567 cm</span>²/63 cm²= 9 triangular patches

 4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:

 (9 triangular patches)(33 pieces of fabric)=297 triangular patches
<span>
 How many of the patches can Leia cut from 33 pieces of the fabric?

 The answer is: 297 triangular patches</span>
6 0
3 years ago
Line segment XY has the coordinates X(–12, –6) and Y(5, 6). What is the approximate length of line segment XY?
malfutka [58]

The approximate length of line segment XY is 20.8 units

<h3>How to calculate the distance between two points</h3>

The formula for calculating the distance between two points is expressed as:

A = √(x2-x1)²+(y2-y1)²

Given the coordinate points X(–12, –6) and Y(5, 6). The distance between them is expressed as;

XY = √(5+12)²+(6+6)²

XY = √(17)²+(12)²

XY = √269 + 144

XY = 20.8

Hence the approximate length of line segment XY is 20.8 units

Learn more on distance formula here; brainly.com/question/661229

6 0
2 years ago
The rainfall amount last year was 6 inches below normal. The rainfall this year was 13 inches more than last year. What is the d
Lostsunrise [7]

Answer:

7

Step-by-step explanation:

The term difference means to subtract. Therefore, 13in - 6in, is equal to 7 inches.

13-6=7

Hope this Helps!!!

6 0
3 years ago
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