Write p5/p3 using a positive exponent

Answers

Answer 1

Answer: When you subtract the exponents you get p-². You have to put it under 1 to get the positive exponent, which gives 1/p².

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Rhea is solving a math puzzle. To find the solution of the puzzle, she must find the product of two numbers. The first number is the sum of 23 and x, and the second number is 18 less than two times the first number. Which of the following functions represents the product of these two numbers?Opions are:

A.
P(x) = 2x^2 + 74x + 644
B.
P(x) = 2x^2 + 28x - 414
C.
P(x) = 2x^2 + 102x + 1,288
D.
P(x) = 2x^2 + 110x + 1,472

Answers

Answer:

It's B.

Step-by-step explanation:

First is x + 23 and second is 2x - 18.

So the product is

(x + 23)(2x - 18)

= 2x^2 - 18x + 46x - 414

= 2x^2 + 28x - 414

a team was given a bucket of water and a sponge. The team had 1 minute to fill an empty half gallon bucket with water using only the sponge.

Answers

I don't exactly see the question here so therefore I can't answer it

The shorter leg of a right triangle is 6 feet shorter than the longer leg. The hypotenuse is 6 feet longer than the longer leg. Find the side lengths of the triangle.

Answers

The length of longer leg is 24 feet, shorter leg is 18 feet and hypotenuse is 30 feet.

Step-by-step explanation:

Let,

Longer leg = a = x

Shorter leg = b = x - 6

Hypotenuse = c = x + 6

As the triangle is right angles, therefore, using pythagoras theorem;

$a^2+b^2=c^2\n(x)^2+(x-6)^2=(x+6)^2\nx^2+(x^2-12x+36)=x^2+12x+36\nx^2+x^2-12x+36=x^2+12x+36\n 2x^2-12x+36=x^2+12x+36$

Adding (-x² - 12x-36) on both sides

$2x^2-12x+36-x^2-12x-36=x^2+12x+36-x^2-12x-36\nx^2-24x=0$

Taking x common;

$x(x-24)=0\n$

Either,

x=0

or,

x-24 = 0 => x=24

As length cannot be 0 therefore,

Longer leg = x = 24 feet

Shorter leg = x-6 = 24-6 = 18 feet

Hypotenuse = x+6 = 24+6 = 30 feet.

The length of longer leg is 24 feet, shorter leg is 18 feet and hypotenuse is 30 feet.

Keywords: triangle, addition

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at 4:40 pm the thermometer outside of Yasmin's window read 40°c It had risen 8° betwen noon and 4:30 pm and 5° bertwen 7am and noon . What was the temperature at 7am?

Answers

at 4:30 the temperature is 40 degrees, and this temperature is 8 degrees more than what is was at noon. so we subtract 8 from 40 to get 32 degrees at noon. then we subtract 5 from 32 to get the temperature at 7 am. The temperature at 7 am is 27 degrees

Which steps can be used in order to determine the solution to -1.3+4.6x=0.3+4x?A). Subtract 1.3 from both sides of the equation, add 4x to both sides of the equation, then divide by the coefficient of x.
B). Subtract 1.3 from both sides of the equation, subtract 4.6x to both sides of the equation, then divide by the coefficient of x.
C). Add 1.3 to both sides of the equation, subtract 4.6x to both sides of the equation, then divide by the coefficient of x.
D). Add 1.3 to both sides of the equation, subtract 4x to both sides of the equation, then divide by the coefficient of x.

Answers

The correct steps to solve the expression will be;

''Add 1.3 to both sides of the equation, subtract 4x to both sides of the equation, then divide by the coefficient of x.''

Option D is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ -1.3 + 4.6x = 0.3 + 4x

Now,

Solve the expression as;

⇒ -1.3 + 4.6x = 0.3 + 4x

Add 1.3 both side, we get;

⇒ -1.3 + 4.6x + 1.3 = 0.3 + 4x + 1.3

⇒ 4.6x = 1.6 + 4x

Subtract 4x both side,

⇒ 4.6x - 4x = 1.6 + 4x - 4x

⇒ 0.6x = 1.6

Divide by 0.6,

⇒ x = 2.67

Thus, The correct steps to solve the expression will be;

''Add 1.3 to both sides of the equation, subtract 4x to both sides of the equation, then divide by the coefficient of x.''

Option D is true.

Learn more about the mathematical expression visit:

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-1.3 + 4.6x = 0.3 + 4x
Add 1.3 to both sides of the equation
4.6x = 1.6 + 4x
subtract 4x to both sides of the equation
0.6x = 1.6
divide by the coefficient of x (0.6)
x = 1.6 / 0.6
x = 8/3

Answer
D). Add 1.3 to both sides of the equation, subtract 4x to both sides of the equation, then divide by the coefficient of x.

13. Line m has no y-intercept, and its x-intercept is (-5, 0). Line n has no x-intercept,and its y-intercept is (0, 3).
Write the equation of line m.
Write the equation of line n.

Answers

Line m equation is $x+5 = 0$ .

Line n equation is $y+3 = 0$ .

Step-by-step explanation:

Here , we have Line m has no y-intercept, and its x-intercept is (-5, 0). Line n has no x-intercept, and its y-intercept is (0, 3). Let's find out equation of both line step by step:

Equation of line m:

Line m has no y-intercept , that means line is never intersecting y-axis which is only possible when line is parallel to y-axis , also this line have x-intercept as (-5,0) i.e. cuts x-axis at x = -5 .

⇒ $x = -5$

⇒ $x+5 = 0$

∴ Line m equation is $x+5 = 0$ .

Equation of line n:

Line n has no x-intercept , that means line is never intersecting x-axis which is only possible when line is parallel to x-axis , also this line have y-intercept as (0,3) i.e. cuts y-axis at y = 3 .

⇒ $y = -3$

⇒ $y+3 = 0$

∴ Line n equation is $y+3 = 0$ .

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