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Salsk061 [2.6K]
3 years ago
6

5+10/x=x+8 Solve the equation with steps

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

2 and -5

Step-by-step explanation:

5+\dfrac{10}{x}=x+8 \\\\\\-3+\dfrac{10}{x}=x \\\\\\-3x+10=x^2 \\\\\\x^2+3x-10=0 \\\\\\(x+5)(x-2)=0 \\\\\\x=2,-5

Hope this helps!

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Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value.
Blizzard [7]

First,

We are dealing with parabola since the equation has a form of,

y=ax^2+bx+c

Here the vertex of an up - down facing parabola has a form of,

x_v=-\dfrac{b}{2a}

The parameters we have are,

a=-5,b=-10, c=6

Plug them in vertex formula,

x_v=-\dfrac{-10}{2(-5)}=-1

Plug in the x_v into the equation,

y_v=-5(-1)^2-10(-1)+6=11

We now got a point parabola vertex with coordinates,

(x_v, y_v)\Longrightarrow(-1,11)

From here we emerge two rules:

  • If a then vertex is max value
  • If a>0 then vertex is min value

So our vertex is minimum value since,

a=-5\Longleftrightarrow a

Hope this helps.

r3t40

7 0
3 years ago
What is the answer for y=2x-5 and 4x-y=7
Dvinal [7]
Substitute the first equation into the second equation. You will get:

4x - (2x - 5) = 7

Distribute the negative sign into the parenthesis:

4x - 2x + 5 = 7

Simplify

2x + 5 = 7

Subtract 5 on both sides

2x = 2

x = 1

Now, substitute x = 1 into the first equation:

y = 2(1) - 5

y = 2 - 5

y = -3


The solution to the system of equations is (1, -3).
4 0
3 years ago
Interpret the y-intercept of the graph
Svetlanka [38]

Answer:

answer is A

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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Answer:

C)

Step-by-step explanation:

Since the person will have a consistent amount of candles (20y - 20 candles, 25y - 25 candles) that means it's a linear equation.

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2 years ago
To prepare for a race, elijah ran every day for two weeks. he ran a total of 67,592 meters. elijah ran the same distance every d
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4828 + 1607.87 = 6435.87 meters for that day <==
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2 years ago
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