How do you find the answer to this?
How do you find the answer to this? - 1

Answers

Answer 1
Answer:

Answer:

  D)  {-1}

Step-by-step explanation:

A rational expression is "not defined" when its denominator is zero. Hence to find values of x that make the expression "not defined," you solve the equation ...

  denominator = 0

  2x +2 = 0 . . . . . . put the actual denominator into the equation

  x + 1 = 0 . . . . . divide by 2

  x = -1 . . . . . . . . subtract 1

The expression is "not defined" for x in the set {-1}.


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Which equation has the same solution as x -12 = 40

Rewrite the expression as a product using GCF and distributive property= 27+45= Explain your answer.

Answers

Step-by-step explanation:

The greatest common factor (GCF) of 27 and 45 is 9.

27 + 45

9 (3 + 5)

9 (8)

72

Final answer:

The expression 27 + 45 is rewritten using the Greatest Common Factor (GCF) and the distributive property as 9*(3 + 5) = 72.

Explanation:

The given expression is 27 + 45. To rewrite this using the Greatest Common Factor (GCF) and the distributive property, we first find the GCF of the two numbers. The GCF of 27 and 45 is 9. We then divide each number by the GCF and rewrite the expression using the distributive property.

So, 27 + 45 = 9*(3 + 5) = 9*8 = 72.

The above step is the application of the distributive property, where a*(b + c) = ab + ac.

Learn more about GCF and distributive property here:

brainly.com/question/11023604

#SPJ3

How many edges and vertices does a prism with 100 sided end faced have ? Please answer as quickly as possible ≈[infinity]

Answers

Answer:

We have 300 edges and 200 vertices

Step-by-step explanation:

A prism is basically a 2D shape which extends into three dimensions. Thus, it has two end faces, and one face for each side on the original shape.

In addition to the two 100-sided polygons at top and bottom, the prism will also have 100 rectangular faces.

We will solve this by Euler’s formula which ks:

V - E + F = 2

where;

V is the number of vertices (corners),

E is the number of edges

F is the number of faces (of any polyhedron).

Number of vertices is 100 surrounding the top while it's 100 at the bottom. So total V = 100 + 100 = 200 .

The number of edges is 100 at the top, and 100 at the bottom. Also an additional 100 separating the hundred vertical faces.

Total number of edges is;

E = 100 + 100 + 100 = 300.

Thus, we have 300 edges and 200 vertices

Solve each inequality for x. (Enter your answers using interval notation.)(a) ln(x) < 0

(b) ex > 2

Solve each equation for x.

(a) ln(3x − 17) = 5

Express the given quantity as a single logarithm.

ln(a + b) + ln(a − b) − 5 ln(c)

Answers

Using exponential and logarithmic functions, it is found that:

a) The solution of the inequality ln((x)) < 0 is (-infty, 1).

b) The solution of the inequality e^x > 2 is (ln(2), \infty)

a) The solution to the equation ln((3x - 17)) = 5 is x = 55.14.

As a single logarithm, the expression is:

\ln{\left((a^2 - b^2)/(c^5)\right)}

Inequality a:

ln((x)) < 0

Applying the exponential to both sides:

e^(ln((x))) < e^(0)

x < 1

Hence, in interval notation:

(-infty, 1)

Inequality b:

e^x > 2

Applying ln to both sides:

ln(e^x) > ln(2)

x > ln(2)

Hence, in interval notation, the solution is:

(ln(2), \infty)

Equation a:

ln((3x - 17)) = 5

e^(ln((3x - 17))) = e^5

3x - 17 = e^5

3x = 17 + e^5

x = (17 + e^5)/(3)

x = 55.14

The quantity given is:

ln((a + b)) + ln((a - b)) - 5ln(c)

To express as a single logarithm, these following properties are applied:

ln(a) + ln(b) = ln(ab)

ln(a) - ln(b) = \ln{\left((a)/(b)\right)}

aln(b) = ln(b^a)

Hence:

ln((a + b)) + ln((a - b)) - 5ln(c) = ln((a + b)(a - b)) - ln(c^5)

As a single logarithm, the expression is:

\ln{\left((a^2 - b^2)/(c^5)\right)}

A similar problem is given at brainly.com/question/21506771

Answer:

(a) ln(x) = 0

Then 0 < x < 1

(b) e^x > 2

Then ln2 < x < ∞

(a) ln(3x - 17) = 5

x = 55.1377197

ln(a + b) + ln(a - b) - 5ln(c)

= ln[(a² - b²)/c^5]

Step-by-step explanation:

First Part.

(a) ln(x) < 0

=> x < e^(0)

x < 1 ....................................(1)

But the logarithm of 0 is 1, and the logarithm of negative numbers are undefined, we can exclude the values of x ≤ 0.

In fact the values of x that satisfy this inequalities are between 0 and 1.

Therefore, we write:

0 < x < 1

(b) e^x > 2

This means x > ln2

and must be finite.

We write as:

ln2 < x < ∞

Second Part.

(a) ln(3x - 17) = 5

3x - 17 = e^5

3x = 17 + e^5

x = (1/3)(17 + e^5)

= 55.1377197

Third Part.

We need to write

ln(a + b) + ln(a - b) - 5ln(c)

as a single logarithm.

ln(a + b) + ln(a - b) - 5ln(c)

= ln(a + b) + ln(a - b) - ln(c^5)

= ln[(a + b)(a - b)/(c^5)]

= ln[(a² - b²)/c^5]

Suppose your net income every month is $3.750. In the 20-60-20Model, how much of
your net income would be in each category?
Answer in three complete sentences to explain how much of your income is in each category.

Answers

In the 20-60-20 budgeting model, 20% of your net income should go towards saving and investing for the future. 60% should go towards your daily expenses, such as housing, utilities, food, transportation, and healthcare. The remaining 20% can be used for discretionary spending, such as entertainment, dining out, vacations, or any other non-essential expenses.

Given that your net income is $3,750 per month, you should aim to save $750 (20% of $3,750) per month, spend $2,250 (60% of $3,750) on your essential expenses, and have $750 (20% of $3,750) left over for your discretionary spending.

It's important to note that this budgeting model is a general guideline and may not work for everyone. You may need to adjust the percentages based on your personal financial situation, goals, and lifestyle.

Help pleaseeee my sister needs help and i dnt get this

Answers

Answer:

48 ft

Step-by-step explanation:

Which postulate or theorem would you use to prove these two triangles congruent?

Answers

Answer:

SSS

Step-by-step explanation

youre given only side conguencys, so you cant prove the angles are conguent