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3 years ago

Write the equation in slope-intercept form show all your work 3x + 7 = 9

Mathematics

1 answer:

jeka57 [31]3 years ago

3 0

3x=2
x= 2/3

slope is undefined. there is no y intercept

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What is the solution of x=2+ square root x-2?

alex41 [277]

So I'm going to assume that this question is asking for non extraneous solutions, or solutions that are found in the equation and are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

$x-2=\sqrt{x-2}$

Next, square both sides:

$(x-2)^2=x-2\\(x-2)(x-2)=x-2\\x^2-4x+4=x-2$

Next, subtract x and add 2 to both sides of the equation:

$x^2-5x+6=0$

Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

$x^2-2x-3x+6=0$

Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$x(x-2)-3(x-2)=0$

Now you can rewrite the equation as $(x-3)(x-2)=0$

Now, apply the Zero Product Property and solve for x as such:

$x-3=0\\x=3\\\\x-2=0\\x=2$

Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:

$2=2+\sqrt{2-2}\\2=2+\sqrt{0}\\2=2+0\\2=2\ \textsf{true}\\\\3=2+\sqrt{3-2}\\3=2+\sqrt{1}\\3=2+1\\3=3\ \textsf{true}$

Since both solutions hold true when x = 2 and x = 3, your answer is C. x = 2 or x = 3.

8 0

3 years ago

Determine which postulate can be used

Kruka [31]

Answer:

SAS postulate

Step-by-step explanation:

The triangles have two congruent sides and one congruent angle. The congruent angle is the included angle. This meets SAS criteria.

Hope this helps :-)

3 0

3 years ago

It takes Earth about 365 days to orbit the Sun. It takes Uranus about 85 times as long. Write a numerical expression to describe

steposvetlana [31]

U=days of Uranus Orbit
365x85=U

3 0

4 years ago

What is the answer to this too?

Radda [10]

The answer to this is 5%

4 0

3 years ago

At a café, a cup of coffee costs $2.82. To use exact change, you must hold the number 2.82 in your head while sorting through yo

Stolb23 [73]

Answer:

Working memory

Step-by-step explanation:

Working memory is a system the brain uses for temporarily storing and managing the information required to carry out complex cognitive tasks. The central executive part of the prefrontal cortex at the front of the brain is responsible for working memory. It serves as a temporary store for short-term memory, where information is kept available while it is needed for current reasoning processes.

So to be successful in holding the number 2.82 in my head while sorting, one must keep the information maintained in short-term storage by using one's working memory.

5 0

3 years ago