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3 years ago

For the equation: 4x+y=10 what does x equal if y=-6?

Mathematics

2 answers:

kotykmax [81]3 years ago

7 0

Answer:

x = 4

pls mark as brainliest...

deff fn [24]3 years ago

3 0

Answer:

x=4

Step-by-step explanation:

4x+y=10 then, plug in y

4x+(-6)=10 then, isolate x by adding 6to both sides,

+ 6 +6 then, divide by 4 on each side

4x/4=x

16/4=4

x=4

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What is the value of 2|6 + p| - 3p3 when p = -2?

nexus9112 [7]

Substitute the value of the variable into the equation and simplify.
32 is the answer.

4 0

3 years ago

2 In eIn2x - In eIn 10x = In 30 x=30 x=75 x= 150 x=300

Alex_Xolod [135]

The value of x = 75 ⇒ 2nd answer

Step-by-step explanation:

Let us revise some rules of logarithmic function

$ln(a) - ln(b)=ln(\frac{a}{b})$
$e^{ln(a)}=a$
$ln(a)^{n}=nln(a)$ vice-versa $nln(a)=ln(a)^{n}$
If ㏑(a) = ㏑(b), then a = b

∵ $2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)$

- Use the 2nd rule to simplify it

∵ $e^{ln(2x)}=2x$

∵ $e^{ln(10x)}=10x$

∴ 2㏑(2x) - ㏑(10x) = ㏑(30)

- Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

∵ $ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})$

∴ $ln(\frac{4x^{2}}{10x})=ln(30)$

∵ $\frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x$

∴ $ln(\frac{2}{5}x)=ln(30)$

- Use the 4th rule

∴ $\frac{2}{5}$ x = 30

- Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

Learn more:

You can learn more about logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

8 0

3 years ago

You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will have a base of 2 cm. The wi

son4ous [18]

Answer:

The length of each of the other two sides would be 3.1 cm

Step-by-step explanation:

The options of the question are

A. 3.1 cm

B. 3.2 cm

C. 4.2 cm

D. 6.1 cm

we know that

An isosceles triangle has two equal sides and two equal interior angles

Let

x -----> the length of each of the two equal sides in the isosceles triangle

The perimeter of one isosceles triangle is equal to

$P=2x+2$

Remember that

To maximize the use of the wire, the perimeter of 6 earrings (3 pairs of earrings) must be equal to 50 cm

$6(2x+2)=50$

Solve for x

$12x+12=50$

$12x=50-12$

$12x=38$

$x=\frac{38}{12}=3.16\ cm$

therefore

The length of each of the other two sides would be 3.1 cm

7 0

3 years ago

28. Kay is saving $200 a month into an account earning 5% interest. How long will it

musickatia [10]

Step-by-step explanation:

Accumulated value = $20,000.

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2000 - 200 = 10t

1800 = 10t, t = 180.

Therefore, it would take her 180 years to save $20,000.

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4 years ago

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Maurinko [17]

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Step-by-step explanation:

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5 0

2 years ago