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3 years ago

X/14=40/70 Solve the proportion for x.

Mathematics

1 answer:

vodomira [7]3 years ago

3 0

Answer:

Step-by-step explanation:

$\frac{x}{14} = \frac{40}{70} \\ x = \frac{40}{70} \times 14 \\ x = \frac{40}{10} \times 2 \\ x = 4 \times 2 \\ x = 8$

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svet-max [94.6K]

The question can be "What is 256-((3*4)-1)?"

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3 years ago

Please help!!! The cost of a car rental is $30 per day plus 23¢ per mile. You are on a daily budget of $76. Write and

Sergeeva-Olga [200]

Answer:

30+.23x=76

.23x=76-30

.23x=46

x=46/.23

x=200 miles is the mileage limit for $200.

Step-by-step explanation:

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5 0

3 years ago

What is the value of 7 ^−3 ^ −1 for = −2 and = 4?

andrey2020 [161]

Answer:

d. −7/32

Step-by-step explanation:

The expression that we have to evaluate in this problem is:

$7x^{-3}y^{-1}$

We have to evaluate this expression for:

x = -2

y = 4

We start by rewriting the expression by rewriting it using the following:

$a^{-n}=\frac{1}{a^n}$

So the expression can be rewritten as

$7x^{-3}y^{-1}=\frac{7}{x^3 y}$

Now we observe that:

$(-2)^3=(-2)(-2)(-2)=-8$

Therefore, by substituting x = -2 and y = 4 into the expression, we find:

$\frac{7}{(-2)^3\cdot 4}=\frac{7}{-8\cdot 4}=-\frac{7}{32}$

8 0

3 years ago

Which expression is equivalent to (2^3)^-5

ale4655 [162]

Answer:

0.00003051757

Step-by-step explanation:

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3 years ago

Write the quadratic function in the form g(x)=a (x-h)2 +kThen, give the vertex of its graph. G(x) =2x2 +20x+49Writing in the for

Snezhnost [94]

The quadratic function given to us is:

$g(x)=2x^2+20x+49$

We are asked to find the vertex form of the function.

The general formula for the vertex form of a quadratic equation is:

$\begin{gathered} g(x)=a(x-h)^2+k \\ \text{where,} \\ (h,k)\text{ is the coordinate of the vertex} \end{gathered}$

In order to write the function in its vertex form, we need to perform a couple of operations on the function.

1. Add and subtract the square of the half of the coefficient of x to the function.

2. Factor out the function with its repeated roots and re-write the equation.

Now, let us solve.

1. Add and subtract the square of the half of the coefficient of x to the function.

$\begin{gathered} g(x)=2x^2+20x+49=2(x^2+10x+\frac{49}{2}) \\ \text{half of coefficient of x:} \\ \frac{10}{2}=5 \\ \text{square of the half of the coefficient of x:} \\ 5^2=25 \\ \\ \therefore g(x)=2(x^2+10x+25-25+\frac{49}{2}) \end{gathered}$

2. Factor out the function with its repeated roots and re-write the equation.

$\begin{gathered} g(x)=2(x^2+10x+25)-2(25+\frac{49}{2}) \\ re-\text{write the above function} \\ g(x)=2(x^2+10x+25)-1 \\ \text{Let us factorize this:} \\ g(x)=2(x+5)^2-1 \end{gathered}$

Therefore, we can conclude that the Equation and vertex of the equation is:

$\begin{gathered} Equation\colon g(x)=2(x+5)^2-1 \\ \\ Vertex\colon(-5,-1) \end{gathered}$

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2 years ago