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4 years ago

6

The value of the 4 in 34,258 and 47,163

1 answer:

Lera25 [3.4K]4 years ago

7 0

The value of 4 in 34,258 is 10 times the value of the 4 in 47,163.

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A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. the function f(

Alexxx [7]

Answer:

Shifted 5 unit right side then stretched vertically by the factor 100

Step-by-step explanation:

Here, parent function,

$f(x)=\frac{1}{x}$

Transformed function,

$f(x) = \frac{100}{x-5}$

Since, if a function f(x) gives cf(x), where c is any number,

Then the function was vertically stretched by factor c,

While, the function gives f(x-c),

Then the function was shifted c unit right.

Hence, the graph of $f(x)=\frac{1}{x}$ was shifted 5 unit right side then stretched vertically by the factor 100 to create the graph of $f(x)=\frac{100}{x-5}$

4 0

3 years ago

12x+7<-11 or 5x-8>40

puteri [66]

Answer:

$\large\boxed{x9\dfrac{3}{5}\to x\in\left(-\infty,\ -1\dfrac{1}{2}\right)\ \cup\ \left(9\dfrac{3}{5},\ \infty\right)}$

Step-by-step explanation:

$12x+7$

$5x-8>40\qquad\text{add 8 to both sides}\\\\5x-8+8>40+8\\\\5x>48\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{48}{5}\\\\x>\dfrac{48}{5}\\\\x>9\dfrac{3}{5}\\===========================$

$x9\dfrac{3}{5}$

7 0

3 years ago

What is the answer to x+4=6 1/4

laiz [17]

Answer: X=9/4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A student is asked to solve the equation below and to justify her/his steps. Identify what, if anything, is incorrect in her/his

snow_tiger [21]

The - number has to t o be more then 6 in order to get -10. Answer= -16

3 0

3 years ago

Using mathematical induction prove whether or not the following statement is true for all positive integers n, or show why it is

aniked [119]

Base case: For $n=1$ , the left side is 2 and the right is $2\cdot1^2=2$ , so the base case holds.

Induction hypothesis: Assume the statement is true for $n=k$ , that is

$2+6+10+\cdots+4k-2=2k^2$

We want to show that this implies truth for $n=k+1$ , that

$2+6+10+\cdots+4k-2+4(k+1)-2=2(k+1)^2$

The first $k$ terms on the left reduce according to the assumption above, and we can simplify the $k+1$ -th term a bit:

$\underbrace{2+6+10+\cdots+4k-2}_{2k^2}+4k+2$

$2k^2+4k+2=2(k^2+2k+1)=2(k+1)^2$

so the statement is true for all $n\in\mathbb N$ .

5 0

3 years ago