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Anvisha [2.4K]
3 years ago
6

Solve for x: -10x/2+x=x+8/x

Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

The\ domain:\\D:\ x\neq-2\ \wedge\ x\neq0\\\\\dfrac{-10x}{2+x}=\dfrac{x+8}{x}\ \ \ \ |\text{cross multiply}\\\\(-10x)(x)=(2+x)(x+8)\\\\-10x^2=(2)(x)+(2)(8)+(x)(x)+(x)(8)\\\\-10x^2=2x+16+x^2+8x\\\\-10x^2=x^2+10x+16\ \ \ +10x^2\\\\11x^2+10x+16=0\\\\a=11,\ b=10,\ c=16\\\\b^2-4ac=10^2-4(11)(16)=100-704=-604 < 0\\\\NO\ REAL\ SOLUTION

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fenix001 [56]

Answer:

Hence total 3.9 ounces of paint was used to make the mixture.

Step-by-step explanation:

Denise mixed 1\frac{4}{5} ounces of blue paint with 2\frac{1}{10} ounces of yellow paint.

Now we are asked to find  how many ounces of paint did Denise mix.

i.e. we are asked to find the total number of paint used to form the mixture.

We know that:

 1\frac{4}{5}=\dfrac{9}{5} and 2\frac{1}{10}=\dfrac{21}{10}

Hence total paint used= \dfrac{9}{5}+\dfrac{21}{10}

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3 0
4 years ago
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OlgaM077 [116]

The cost of using 19 HCF of water is $32.49

Given in the question:

The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)

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and, the cost of using 35 HCF is $61.83.

To find the cost of using 19 HCF of water.

Now, According to the question:

The cost for using 17 HCF of water is  $32.13

and, the cost of using 35 HCF is $61.83.

To find the slope:

(17, 32.13) and (35, 61.83)

Slope = (61.83 - 32.13)/ (35 - 17) = 1.65

We know that:

Formula of slope :

y = mx + b

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The equation will be :

C(x) = 1.65x + 1.14

Now, To find the cost of using 19 HCF of water.

C(19) = 1.65 × 19  + 1.14

C(19) = $32.49

Hence,  the cost of using 19 HCF of water is $32.49.

Learn more about Slopes at:

brainly.com/question/3605446

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1 year ago
Use the conversion table to convert the following English units into the given metric units. Calculate all problems by hand. Rou
Gala2k [10]

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<em>NOTE: Next time, please attach the conversion table to ensure we are using the table referenced in the question.</em>

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Answer:

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Step-by-step explanation:

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