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3 years ago

How many solutions exist for the given equation?

Mathematics

1 answer:

zmey [24]3 years ago

8 0

<h3> Answer </h3>

x = 2

1/2(x + 12) = 4x - 1

1/2x + 12/2 = 4x - 1

1/2x + 6 = 4x - 1

1/2x - 4x = -1 - 6

1/2x - 8/2x = -7

-7/2x = -7

x = -14/-7

x = 2

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Add the polynomials. <br> (7y^2+2y-9)+(-3y^2-y) = ?

Vikki [24]

$(7 y^{2} + 2y - 9) + (-3 y^{2} -y) \\ 
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= 4y^{2} + y - 9$

3 0

3 years ago

Jane is a cliff diver and she is planning on jumping from a height of 747 feet and landing in the water below. She will end her

nekit [7.7K]

Answer:

811 feet

Step-by-step explanation:

When finding height difference, you use absolute value, so everything is positive. 747+64 = 811, so your answer is 811 feet.

Hope this helps!

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3 years ago

Read 2 more answers

If the numbers 4, 5 and 6 are each used exactly once to replace the letters in the expression A ( B − C ), what is the least pos

guapka [62]

Answer:

The least possible result is <em>-10</em>.

Step-by-step explanation:

Given the numbers 4, 5 and 6 are to be chosen one of the letters A, B or C.

First of all,

Let A = 4, B = 5 and C = 6

$A(B-C) = 4 \times (5-6) = 4 \times -1 = -4$

Let A = 4, B = 6 and C = 5

$A(B-C) = 4 \times (6-5) = 4 \times 1 = 4$

Let A = 5, B =4 and C = 6

$A(B-C) = 5 \times (4-6) = 5 \times -2 = -10$

Let A = 5, B = 6 and C = 4

$A(B-C) = 4 \times (6-4) = 4 \times 2 = 8$

Let A = 6, B = 4 and C = 5

$A(B-C) = 6 \times (4-5) = 6 \times -1 = -6$

Let A = 6, B = 5 and C = 4

$A(B-C) = 6 \times (6-5) = 6 \times 1 = 6$

Summarizing the above values in the form of a table:

$\begin{center}\begin{tabular}{ c c c c}A & B & C & A(B-C)\\ 4 & 5 & 6 & -4\\ 4 & 6 & 5 & 4\\ 5 & 4 & 6 & -10\\ 5 & 6 & 4 & 10\\ 6 & 4 & 5 & -6\\ 6 & 5 & 4 & 6\end{tabular}\end{center}$

So, the least possible result is <em>-10</em>.

3 0

3 years ago

Q. A pharmacist mixes 3 grams of compound with 5,000 milligrams of solution to create a prescription. How many total grams is th

Liula [17]

Answer: 8 grams

Step-by-step explanation:

We have two units of mass: grams and milligrams

The prescription has 3 grams of compound with 5,000 milligrams of solution.

To know how many grams in total there are in the mixture we must convert

5000 milligrams to grams.

By definition in 1 gram there are 1000 mg.

Then we perform the following operation

$5000\ mg * \frac{1\ grams}{1000\ mg}=5\ grams$

Then the total amount of grams in the prescription is:

$5+ 3=8\ grams$

7 0

3 years ago

A figure has four sides that are the same length and no right angles. Based on this information, what is the most specific name

Rudiy27

The answer would be. B) rhombus

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3 years ago