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4 years ago

-8-x= x - 4x Can u help me know the answer please and I need to show my work

Mathematics

1 answer:

marin [14]4 years ago

7 0

Answer:

x= -4

Step-by-step explanation:

-8 -x= x -4x

Simplify:

$- 8 - x = - 3x$

Bring all x terms to 1 side by adding x on both sides:

$- 8 = - 3x + x$

Simplify:

$- 8 = - 2x \\ - 2x = 8$

Divide both sides by -2:

$x = \frac{8}{ - 2} \\ x = - 4$

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A farmer sells 8.8 kilograms of apples and pears at the farmer's market. 1 4 of this weight is apples, and the rest is pears. Ho

Olenka [21]

Answer: She sold 6.6kg of pears in the market.

Step-by-step explanation:

Weight of apples and pears at the farmer's market.=8.8 kilograms

Weight of apples = 1/4

which is = 1/4 x 8.8kg = 2.2 kg

Weight of Pears =Weight of apples and pears - Weight of apples

= 8.8kg- 2.2kg

= 6.6kg

5 0

3 years ago

If 4 : 9 is equivalent to (5x+13) : 63, then what is the value of x?

Aleksandr [31]

$\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}$

The value of x is 3

Step-by-step explanation:

$\textsf{\underline{\large{To find :-}}}$

The value of x

$\textsf{\underline{\large{Given :-}}}$

4 : 9 = (5x + 13) : 63

$\textsf{\underline{\underline{\large{Solution :-}}}}$

we can write this as

$\sf \frac{4}{9} = \frac{(5x + 13)}{63}$

Now we will cross multiply the values

$\sf 4 \times 63 = 9(5x + 13) \\ \\ \sf 252 = 45x + 117 \\ \\ \sf 252 - 117 = 45x \\ \\ \sf 135 = 45x \\ \\ \sf \frac{135}{45} = x \\ \\ \sf \orange {3 = x}$

5 0

2 years ago

Find the slope of the line that contains the points named.<br><br> X(2, -1), Y(0, 4)

fgiga [73]

Answer:

- 4/3 0r - 1 1/3 0r - 1.33333333 ( the 3 keeps repeating)

Step-by-step explanation:

I would suggest to use a table so....

x y

2 0

-1 4

from 0 to 4 you add 4

from 2 to -1 you subtract 3

so y/x

4/-3 = - 1 1/3 or - 1.333333

Hope this helped a little!

8 0

3 years ago

Now simplify the y-terms to get the equation of the parabolic path. You do not need to expand the x-term. (2 points) Hint: Squar

aalyn [17]

The simplified equation of $(x - 10)^2 + (y- 6)^2 = 4^2$ is $y = 6+ \sqrt{16 - (x - 10)^2}$

<h3>How to determine the simplified equation?</h3>

The complete question is added as an attachment

The equation is given as

$(x - 10)^2 + (y- 6)^2 = 4^2$

Subtract (x - 10)^2 from both sides

$(y- 6)^2 = 4^2 - (x - 10)^2$

Evaluate 4^2

$(y- 6)^2 =16 - (x - 10)^2$

Take the square root of both sides

$y- 6= \sqrt{16 - (x - 10)^2}$

Add 6 to both sides

$y = 6+ \sqrt{16 - (x - 10)^2}$

Hence, the simplified equation of $(x - 10)^2 + (y- 6)^2 = 4^2$ is $y = 6+ \sqrt{16 - (x - 10)^2}$

Read more about simplified equation at:

brainly.com/question/723406

#SPJ1

6 0

2 years ago

Calc I optimization problem, Please see attachment!

stellarik [79]

<h3>Answer: 14 feet</h3>

=======================================================

Explanation:

Let C be the corner point.

x = distance from P to C

That makes segment AP to be 70-x feet long

Focus on the right triangle PBC. Use the pythagorean theorem to find the hypotenuse PB.

$a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\PB = \sqrt{(PC)^2 + (CB)^2}\\\\PB = \sqrt{x^2 + 90^2}\\\\PB = \sqrt{x^2 + 8100}\\\\$

If we knew what x was, then we could find a numeric value for PB.

---------------------

It costs $28 per foot to run cable along the ground. This is the portion from A to P. So it costs 28(70-x) dollars to run that portion of cable above ground. Simply multiply the cost per foot by the number of feet.

Similarly, the cost from P to B is $53\sqrt{x^2+8100}$ since it costs $53 per foot to have it run underground.

The total cost is therefore $28(70-x) + 53\sqrt{x^2 + 8100}$

The derivative of this will help determine when the cost is minimized.

Type that function into GeoGebra and have it compute the derivative.

You should find that the x intercept of the derivative curve is exactly x = 56

If x = 56, then 70-x = 70-56 = 14

This means AP = 14 feet is the amount of cable to run along main street.

This also leads to $PB = \sqrt{x^2 + 8100} = \sqrt{56^2 + 8100} = 106$

The total length of the wire is 14+106 = 120 feet

It costs $28 per foot along the 14 ft section, so 28*14 = 392 dollars is the cost for this section.

It costs $53 per foot along the 106 ft section, so 53*106 = 5618 dollars is the cost for this other section.

The total min cost is 392+5618 = 6010 dollars

------------------

Side note: You could do all this without a calculator to compute the derivative and use algebra to end up with x = 56. However, I think the use of technology is beneficial because it's fast/efficient. In real world settings, you won't be likely to pull out pencil/paper to get things done. The modern world relies on computers. It's refreshing to see that your teacher encourages the use of technology.

Let me know if you need me to go over the algebraic steps and I'll update my answer.

3 0

3 years ago