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3 years ago

Josh examines the expression 5^-x over 5^x, where m is greater than 0.

Mathematics

2 answers:

Soloha48 [4]3 years ago

8 0

Answer:

Josh claim is not correct.

Step-by-step explanation:

Given : Josh examines the expression $5^{-x}$ over $5^x$ , where m is greater than 0.

He claims that the expression has a value equal to 1 because it simplifies to $5^0$ , and any integer to the 0 power is 1.

To find : Is Josh correct? Explain why or why not.

Solution :

We first solve the Josh expression,

$5^{-x}$ over $5^x$

i.e. $\frac{5^{-x}}{5^x}$

We know, $\frac{x^a}{x^b}=x^{a-b}$

So, $\frac{5^{-x}}{5^x}=5^{-x-x}$

$\frac{5^{-x}}{5^x}=5^{-2x}$

His claim is not correct.

As the correct solution is $\frac{5^{-x}}{5^x}=5^{-2x}$

DochEvi [55]3 years ago

6 0

Answer:

Josh is wrong.

Step-by-step explanation:

5^-x / 5^x = 5^(-x-x) = 5^-2x

= 1 / 5^2x

(you subtract the exponents when dividing )

So Josh is wrong ( he would be correct if we were multiplying)

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Which inequality represents the values of x that ensure triangle ABC exists? a triangle with side lengths of 6.5 units, 3.5 unit

nikdorinn [45]

Answer:

1 < x < 7.5

Step-by-step explanation:

This problem can be solved using given below property of triangle.

Sum of two sides is always greater than third side of triangle.

Difference of two sides is always lesser than third side of triangle.

_______________________________________________

Given

sides length

6.5 units

3.5 units

Third side is 2.5 + x

using the property, Sum of two sides is always greater than third side of triangle.

6.5 + 3.5 > 2.5 +x

=>10 >2.5 + x

=>2.5 + x< 10

=> x< 10 -2.5

=> x < 7.5

using the property, Difference of two sides is always lesser than third side of triangle.

6.5 - 3.5 > 2.5 +x

=>3.5 > 2.5 +x

=> 2.5 +x > 3.5

=> x > 3.5 - 2.5

=> x > 1

combining both we have

1 < x < 7.5

out of the given option none is 1 < x < 7.5

hence, correct answer will be 1 < x < 7.5 and wrong option can be claimed by student.

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3 years ago

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KiRa [710]

Answer:

$y = \dfrac{1}{3}x + 1$

Step-by-step explanation:

The given line is in slope-intercept form,

y = mx + b,

where m is the slope.

The slope of the given line is 1/3, so m = 1/3.

Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.

y = 1/3 x + b

Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.

3 = (1/3)(6) + b

3 = 2 + b

b = 1

Equation: $y = \dfrac{1}{3}x + 1$

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3 years ago

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xxTIMURxx [149]

<span>9.1 minus a number is correct</span>

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Furkat [3]

Answer:

C. $\Rightarrow \bold{8x = 16}$

Step-by-step explanation:

Given the two equations:

$y=2x ........ (1)\\ 2x+3y=16.......(2)$

To find:

The correct option when value of y is substituted to 2nd equation using the 1st equation.

Solution:

First of all, let us learn about the substitution method.

Substitution method is the method to provide solutions to two variables when we have two equations and two variables.

In substitution method, we find the value of one variable in terms of the other variable and put this value in the other equation.

Now, the other equation becomes only single variable and then we solve for the variable's value.

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$y=2x$

Let us put value of y in 2nd equation:

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stiv31 [10]

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