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Citrus2011 [14]

3 years ago

9

Consider the exponential equation 4^x = 30. Between what two consecutive integers must the solution to this equation lie? Explai

n your reasoning.

1 answer:

Alex_Xolod [135]3 years ago

7 0

Answer:

2 and 3.

Step-by-step explanation:

Four to the second power is 16.

Four to the third power is 64.

30 lies between 16 and 64, thus the exponent must lie between 2 and 3.

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The sum of 2 numbers is 27. The larger number is 3 times more than the smaller number. What are the numbers?

beks73 [17]

Answer:

The first number is 6.75

The second number is 20.25

Step-by-step explanation:

I went into decimals

7 0

3 years ago

Simplify the expression <br> 2x (x - 6)

Ulleksa [173]

I’m pretty sure it’s 2x^2 - 12x

7 0

3 years ago

What is the equation of the line that is parallel to the line 5x 2y = 12 and passes through the point (−2, 4)? y = – five-halves

Oduvanchick [21]

Answer:

The answer is

$y = - \frac{5}{2} x - 1$

Step-by-step explanation:

If two equations are parallel it means that both their gradients are equal. We were given the equation:

$5x + 2y = 12$

in order to find the gradient of this equation that we are given we have to ensure that it is in its simplest form:

$5x + 2y = 12 \\ 2y = 12 - 5x \\ \frac{2y}{2} = \frac{12}{2} - \frac{5}{2} x \\ y = 6 - \frac{5}{2} x \: \\ or \: \\ y = - \frac{5}{2} x + 6$

Therefore the gradient of the parallel line with points (-2, 4) is also -5/2

$y = mx + c \\ 4 = - \frac{ 5}{2} ( - 2) + c \\ 4 = \frac{10}{2} + c \\ 4 = 5 + c \\ 4 - 5 = c \\$

$c = - 1 \\ hence \: the \: equation \: for \: the \: \\ parallel \: line \: is \\ \: y = - \frac{5}{2} x - 1$

8 0

2 years ago

How does knowing 1/5 of 10 help you find 3/5 of 10? Draw a picture to explain your thinking.

Alborosie

Answer:

If the problem is,

$\frac{1}{5}\text{ of }10$

By finding it,

Take a 5 box grid in which each box represents 1 unit,

Then take 1 box of this grid,

Repeat this step,

Finally, Add them,

We get,

A grid having 10 boxes with 2 taken boxes,

Thus, $\frac{1}{5}\times 10=2$

When we do these steps for three grids we will get $\frac{3}{5}\times 10$ ,

That is, by multiplying the result of $\frac{1}{5}\times 10$ by 3 we will obtain $\frac{3}{5}\times 10$

$\frac{3}{5}\times 10=3\times (\frac{1}{5}\times 10)=3\times 2=6$

7 0

3 years ago

6. Find the zeros of f(x):<br><br> f(x) = 2x + 6

pantera1 [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers