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4 years ago

Find the missing exponent: 27 = 3

Mathematics

2 answers:

Levart [38]4 years ago

8 0

Answer:

The missing exponent is 3

Step-by-step explanation:

Step 1: Make an equation

27 = 3^x

Step 2: Make sure the base is the same

27 is also 3^3

3^3 = 3^x

Since they are same base, you can now evaluate the exponents.

3 = x

Answer: The missing exponent is 3

djverab [1.8K]4 years ago

6 0

Answer:

Step-by-step explanation:

3x3=9x3=27

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What rule would you allow to test weather (x,y) is on line l

n200080 [17]

Answer:

Step-by-step explanation:

If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.

Slope of a line passing through two points C(4, 5) and D(8, 10),

m = $\frac{y_2-y_1}{x_2-x_1}$

m = $\frac{10-5}{8-4}$

m = $\frac{5}{4}$

Equation of the line passing through C(4, 5) and slope m = $\frac{5}{4}$

y - y' = m(x - x')

y - 5 = $\frac{5}{4}(x-4)$

y = $\frac{5}{4}x-5+5$

y = $\frac{5}{4}x$

If point B(4, 0) lies on the line CD,

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Therefore, point B doesn't lie on line CD.

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3 years ago

When Justin goes to work, he drives at an average speed of 65 miles per hour. It takes about 1 hour and 30 minutes for Justin to

Fofino [41]

Answer:

Justin spends $14.24 on gas to travel to work.

Step-by-step explanation:

Given:

Average speed at which Justin goes to work = 65 miles/hour

Time taken by Justin to arrive at work = 1 hour and 30 minutes = 1.5 hours [As 30 minutes =0.5 hours]

Distance he can travel per gallon of gas = 25 miles.

Cost of per gallon of gas = $3.65

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Distance = $Speed\times time$

Distance = $65\times 1.5 = 97.5\ miles$

Using unitary method to find the amount of gas required to cover the distance.

If 25 miles is covered in 1 gallon of gas

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Using unitary method to find the cost of 3.9 gallons of gas.

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4 years ago

Which of the following equations is not a linear equation? a. y = x + 6 b. y2 = x2 + 3 c. x = 5 d. 2x = 3y

vaieri [72.5K]

<h3>Of the four listed equations, B is the only equation that is not linear.</h3>

A linear equation is any equation that results in a straight line, as each value is a fixed number from the previous.

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3 0

3 years ago

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What are the zeros of the polynomial function?

Genrish500 [490]

Hello from MrBillDoesMath!

Answer:

x = 2 and 10

Discussion:

Approach 1:

20 = (-10)*(-2) and (-10) + (-2) = -12 the coefficients of the polynomial. Hence

x^2 -12x + 20 = ( x- 2) * ( x-10)

Approach 2:

From the quadratic formula ( a = 1, b = -12, c = 20)

x = ( -(-12) +\- sqrt( ((-12)^2 - 4*1*20) ) / (2 * 1)

= ( 12 +\- sqrt( 144-80) ) /2

= (12 +\- sqrt(64) ) /2

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x = ( 12 - 8)/ 2 = 4/2 = 2

Thank you,

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3 years ago

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lys-0071 [83]

Answer:

$\boxed{x = -7~~and~~ y =-7}$

Step-by-step explanation:

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y = x

x = 3x + 14

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2x = -14

$x = \frac{-14}{2}$

x = -7

y = x

y = -7

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3 years ago

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