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2 years ago

Simplify the expression 1/3n(-6+27m-51p)

1 answer:

3 0

The answer is n(9m-17p-2)
So you would first multiply the whole equations by 1/3, that would look like
1*n(-6+27m-51p)/3 that would equal n(-6+27m-51p)/3
In order for you to get it out of fraction mode you have to multiply the numerator and denominator by 3 and then your answer would be n(9m-17p-2).

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liberstina [14]

The slope of the line between the points On the line would be -1. And the y intercept would be 1.

Y = -x + 1.

3 0

3 years ago

A projectile is shot into the air following the path,h(x) = - 5t2 + 20t + 3. At what time will it reach a maximum height? t = 1

kramer

Answer:

t = 2

Step-by-step explanation:

Notice that this expression for the projectile's path is that of a quadratic function with negative leading term. The graph of it therefore consists of a parabola with the branches pointing down (due to he negative leading coefficient). Therefore, the maximum of such parabola will reside at its vertex.

Recall that the formula for the position of the vertex in a general parabolic function of the form: $y(x)=ax^2+bx+c$ , is given by the expression: $x_{vertex}=-\frac{b}{2a}$

In our case, the variable "x" is in fact "t", the leading coefficient ( $a$ ) is -5, and the coefficient for the linear term ( $b$ ) is 20.

Therefore, the maximum of the path will be when $t=-\frac{20}{2(-5)} =\frac{20}{10} =2$

7 0

3 years ago

Step by step workout of ;<br> log x^3+log 5x=5 log 2-log 2/5

Charra [1.4K]

Answer:

x = 2

Step-by-step explanation:

$log \: {x}^{3} + log \: 5x = 5log \: 2 - log \: \frac{2}{5} \\ \\ \therefore \: log( {x}^{3} \times 5x) = log {2}^{5} - log \: \frac{2}{5} \\ \\ \therefore \: log( 5{x}^{4}) = log 32 - log \: \frac{2}{5} \\ \\ \therefore \: log( 5{x}^{4}) = log \bigg(32 \times \frac{5}{2} \bigg) \\ \\ \therefore \: log( 5{x}^{4}) = log \bigg(16 \times 5) \\ \\ \therefore \: 5{x}^{4}= 16 \times 5 \\ \\ \therefore \: {x}^{4}= {2}^{4} \\ \\ \huge \purple{ \boxed{\therefore \: {x} = 2}}$

4 0

3 years ago

What is the range of the graph

Montano1993 [528]

Answer:

Range: all real numbers greater than or equal to 2

Step-by-step explanation:

The range is the possible numbers that the output can take

Y can be any number greater than or equal to 2

Range: all real numbers greater than or equal to 2

8 0

3 years ago

Which graph best represents an exponential function?

stellarik [79]

Hey there! :)

Answer:

Choice B.

Step-by-step explanation:

We can eliminate each graph:

a). This is what is known as a step function. This is incorrect.

b). This is an exponential function because the graph is shaped like a geometric equation. This means that the rate of change is exponential. This is the correct choice.

c). This is an absolute value function. This is incorrect.

d). This is a graph of a polynomial. This does not represent an exponential function, which makes it incorrect.

3 0

3 years ago