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1 year ago

Is 5xy and -8xy similiar explain why

1 answer:

3 0

The given algebraic expressions 5xy and -8xy are like terms because of the similarity in their variable and it's power.

As per the question statement, we are given algebraic expressions 5xy and -8xy and we are supposed to tell whether these two terms are like or not.

We know that in Algebra, the phrases or terms that include the same variable and are raised to the same power are referred to as "like terms."

Hence as the variable part in the expressions, 5xy and -8xy, are same hence they can be added and subtracted hence are called like terms.

Algebraic expressions: An expression which is constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)
Like terms: The definition of similar words is the terms that have the same variable raised to the same power. Only the numerical coefficients can alter in terms that are similar to algebra. We may combine similar words to make algebraic expressions simpler, making it much simpler to determine the expression's outcome.

To learn more about algebra, click on the link given below:

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Solve the following system of equations.

sasho [114]

X is minus 2
y is equal to 1

4 0

3 years ago

David hikes 21/4 miles in 1/2 an hour. What is his rate in miles per hour? At this rate, how long will it take him to walk 18 mi

harkovskaia [24]

Answer:

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C) Distance = 10.5 mph × 7 hours = 73.5 miles

Step-by-step explanation:

Given as :

The distance cover by David = $\frac{21}{4}$ miles = 5.25 miles

The time taken by David = $\frac{1}{2}$ hours = 0.5 hours

Let the speed = x mile per hour

So, Distance = Speed × Time

A)or, Speed = $\frac{Distance}{Time}$

Or, Speed = $\frac{5.25}{0.5}$

∴ speed = 10.5 miles per hour

<u>B) Again The Distance cover by him = 18 miles</u>

SO, with speed 10.5 miles per hour

The Time taken by him = $\frac{Distance}{speed}$ hours

Or, Time taken by him = $\frac{18}{10.5}$ hours

∴ Time taken by him = 1.714 hours

<u>C) Again the Time taken by him = 7 hours </u>

So, Distance cover by him with speed 10.5 mph

Or, Distance = 10.5 mph × 7 hours = 73.5 miles

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C) Distance = 10.5 mph × 7 hours = 73.5 miles Answes

8 0

3 years ago

2.36 to the nearest whole number. Help please

melisa1 [442]

Answer:

Step-by-step explanation:

Since if it's 5 or higher you go up but if it's 4 or lower you stay the same. And since 2.36 doesn't have the .5 it would round to 2

7 0

3 years ago

Read 2 more answers

Solve the equation by using quadratic formula . Show your work! Answer maybe in radical or decimal form .

Lorico [155]

Answer:

$x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871$

Step-by-step explanation:

$2x^2+4x-5=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-4\pm\sqrt{4^2-4(2)(-5)}}{2(2)}$

$x=\frac{-4\pm\sqrt{16+40}}{4}$

$x=\frac{-4\pm\sqrt{56}}{4}$

$x=\frac{-4\pm2\sqrt{14}}{4}$

$x=\frac{-2\pm\sqrt{14}}{2}$

$x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871$

5 0

3 years ago

PLEASE HELP! URGENT! Exponential function f is being represented by the table (photo attached) the function “g” is an exponentia

Y_Kistochka [10]

Answer:

C) Both functions are decreasing and both are positive on the interval (0;2)

Step-by-step explanation:

As known the exponent function has no minimum and has no maximum.

Otherwise exponent function can be only or increasing or decreasing for all x.

That means that in case y(x2)>y(x1) and if x2>x1- function is increasing.

That means that in case y(x2)<y(x1) and if x2>x1- function is decreasing.

Lets check what is going on with the function f(x)

If x1=0 f(x1)=24

If x2=2 f(x2)=0

So x2>x1 however f(x2)<f(x1)=> function is decreasing

Similarly g(x)

If x1=0 g(x1)=15

If x2=2 g(x2)=0

So x2>x1 however g(x2)<g(x1) => function is decreasing

So bothfunctions are decreasing.

Because f(x) is decreasing the function meaning with argument x1=0 has max in the interval x∈(0;2) And function meaning has the minimum if argument x2=2. So the function F(x) in interval (0;2) is changing from 24 to 0 => is positive on the interval (0,2)

The same is with g(x) . g(x) gonna be positive on the interval (0;2)

6 0

3 years ago