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2 years ago

What is the product of the following expression? 2x(x^2+x-5)

1 answer:

7 0

The first step to solving this expression is to multiply each term in the parenthesis by 2x
2x × x² + 2x × x - 2x × 5
now you need to calculate the first product
2x³ + 2x × x - 2x × 5
now youll calculate the second product of the expression
2x³ + 2x² - 2x × 5
lastly,, calculate the final product in the expression
2x³ + 2x² - 10x
since you cant simplify this expression any further,, the answer to your question is 2x³ + 2x² - 10x
let me know if you have any further questions
:)

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HELP ME PLEASEEEEE

AVprozaik [17]

Answer: (x,y) = (-1, 1)

This means that x = -1 and y = 1

========================================================

Explanation:

The first equation says that y is the same as 2x+3

That allows us to substitute y for 2x+3 in the second equation like so:

2x+5y = 3

2x+5( y ) = 3

2x + 5(2x+3) = 3 .... y replaced with 2x+3

2x+10x+15 = 3

12x+15 = 3

12x = 3-15

12x = -12

x = -12/12

x = -1

Then we'll substitute this into the first equation to find y

y = 2x+3

y = 2(-1) + 3 .... x replaced with -1

y = -2+3

y = 1

Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)

If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.

3 0

2 years ago

The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown.

omeli [17]

Answer:

The area of one trapezoidal face of the figure is 2 square inches

Step-by-step explanation:

The complete question is

The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown. What is the area of one trapezoidal face of the figure?

we know that

The area of a trapezoid is given by the formula

$A=\frac{1}{2}(b_1+b_2)h$

where

b_1 and b-2 are the parallel sides

h is the height of the trapezoid (perpendicular distance between the parallel sides)

we have

$h=1\ in\\b_1=1\ in\\b_2=3\ in$

substitute the given values in the formula

$A=\frac{1}{2}(1+3)(1)$

$A=2\ in^2$

8 0

2 years ago

Read 2 more answers

What is the area of a circle with a Radius of 4 and a Diameter of 2? (Its on Khan)

algol13

Answer:4^2≈50.26548

Step-by-step explanation:

πr2.

Where r is the radius and π≈3.14 , the ratio of a circle's circumference to its diameter.

Plugging in 4 from the radius, we get.

42π

⇒16π inches.

This is our exact answer. Alternatively, we can plug in 3.14 for π to get.

50.26 inches.

7 0

1 year ago

PLEASE HELP!!

PSYCHO15rus [73]

Answer:

The bird is approximately 9 ft high up in the tree

Explanation:

The required diagram is shown in the attached image

Note that the tree, the cat and the ground form a right-angled triangle

Therefore, we can apply special trigonometric functions

These functions are as follows:

$sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}$

Now, taking a look at our diagram, we can note the following:

α = 25°

The opposite side is the required height (x)

The adjacent side is the distance between the cat and the tree = 20 ft

Therefore, we can use the tan function

This is done as follows:

$tan(\alpha)=\frac{opposite}{adjacent}\\ \\ tan(25)=\frac{x}{20}\\ \\x=20tan(25) = 9. 32 ft$ which is 9 ft approximated to the nearest ft

Hope this helps :)

5 0

2 years ago

One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in

Talja [164]

11 liters of 25% orange juice, 4 liters of 10% orange juice:

1' let x to be 25% orange juice and y be 10% orange juice

2' .25x+.10y=(15).21

3' x+y=15

4' 2.5x+y=31.5 divide all sides by 10

5' -x-y=-15 multiply all sides by -1

6' 1.5x=16.5

7' x=11

8' y=15-11=4

so 11 and 4 are the answers.

4 0

2 years ago