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3 years ago

Fill in the blank to this mathematics question

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

3 0

Answer:

x = 24 makes the original equation true

Step-by-step explanation:

2 < x ≤ 24

2 < x signifies x cannot be equal to 2

x≤24 signifies x can be equal to 24.

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A spring stretches in relation to the weight hanging from it all cording to the equation Y equals 0.75X +0.25 where X is the wei

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2 years ago

Find the measure of y in the drawing. 51° 129° 61° 139°

snow_lady [41]

Answer:

B) y = 129º

Step-by-step explanation:

since a triangle is 180º in total, the you have to subtract 71 and 58 from 180 which will give you 51º which gives you the amount for x

and the line that the triangle is on is also 180º in total, so you subtract the 51 from 180 to give you a total of 129º which is the amount for y

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2 years ago

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What is the domain of f(x)=1/x-3

wel

Answer:

The domain is all real numbers except x=3

Step-by-step explanation:

Assuming you mean

f(x) = 1/(x-3)

The domain is all numbers that x can take

This function is define except when the denominator goes to zero

x-3 cannot be zero

x cannot be 3

The domain is all real numbers except x=3

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2 years ago

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The gas tank holds a total of 15 gallons of gas.how many miles can the car travel with a full tank of gas

djverab [1.8K]

Answer:

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Step-by-step explanation:

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2 years ago

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What values of c and d make the equation true?

saul85 [17]

Answer:

Third option.

Step-by-step explanation:

You need to cube both sides of the equation. Remember the Power of a power property:

$(a^m)^n=a^{mn$

$\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d$

According to the Product of powers property:

$(a^m)(a^n)=a^{(m+n)$

Then. simplifying you get:

$162x^cy^5=162x^6y^{(3+d)}$

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6, then the exponent of "x" on the left side must be 6. Therefore:

$c=6$

You can notice that the exponent of "y" on the left side is 5, then the exponent of "x" on the left side must be 5 too. Therefore "d" is:

$3+d=5\\d=5-3\\d=2$

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3 years ago