All categories

2 years ago

PLEASE HELP ASAP

Mathematics

1 answer:

BaLLatris [955]2 years ago

6 0

The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.

<h3>How to find the find the dilation factor</h3>

In this problem we have the following relationship bewteen the two <em>quadratic</em> equations: g(x) = f(k · x), which means that for all y the following relationship between f(x) and g(x):

$k = \frac{x_{g}}{x_{f}}$

Let suppose that y = 3, then $x_{f} = - 5.5$ and $x_{g} = - 1.8$ , then the value k is:

k = (- 5.5)/(- 1.8)

k = 3.056

The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.

To learn more on transformations: brainly.com/question/11709244

#SPJ1

You might be interested in

An exponential model shows the growth of a towns population in years. Identify the parts:

Semmy [17]

9514 1404 393

Answer:

2% growth per year
25,000 to start
12 years
31,706 currently

Step-by-step explanation:

The base of the exponent is (1 +0.02). The value 0.02 = 2% is the growth rate. It is positive, signifying a 2% rate of growth per year. (Negative values would mean decay.)

The number 25000 that multiplies the exponential term is the value of the expression when the exponent is zero. It represents the starting population.

The exponent is said to be in years, so the time is 12 years.

The current population is the value of the expression:

25,000(1.02^12) ≈ 31,706 . . . . current population

5 0

3 years ago

A car uses 8 gallons of gasoline to travel 290 miles. How much gasoline will the car use to travel 400 miles

VARVARA [1.3K]

To find this answer, you would need to find how many miles 1 gallon of gas will take them. To find this, you would do 290÷8=36.25. So with this information, you will be able to find out how much gas it would take to travel 400 miles. You would do 400÷36.25=11.03. 11.03 would be how many gallons of gas is used to travel 400 miles. Hope this helps! ;)

7 0

3 years ago

Im not good with least to greatest in fractions, Please help me

tiny-mole [99]

Answer:

From least to greatest it is -5/2, -2, then 1.7

Step-by-step explanation:

First by process of elimination, 1.7 is the only positive number, so it is the greatest number compared to the other two.

Now we are left with -2 and -5/2.

We can rewrite -2 as $-\frac{2}{1}$ , as any number by itself itself is the number over 1.

Then we need to find the common denominator for both fractions, meaning they must share the same bottom number.

The 1 in the denominator can be multiplied by 2 to get a denominator of 2 , the same as the denominator for $-\frac{5}{2}$ .

Since the denominator is multiplied by 2, the numerator also has to be multiplied by 2:

$-\frac{2}{1} *\frac{2}{2}$ $=-\frac{4}{2}$

Now since both fractions share the same denominator, we can compare them by their numerators. 5 is greater than 4, but we must keep in mind that these are negative. The larger the negative number, the smaller the value.

So when comparing -4/2 and -5/2, -5/2 is smaller.

So our final answer from least to greatest is -5/2, -2, then 1.7

8 0

3 years ago

I need to figure out how many solutions does the system of equations below have.

Aleonysh [2.5K]

Answer:

The system has one solution.

Step-by-step explanation:

To find the number of solutions of the system, we equal both equations for y.

If we have ax = b, in which both a and b are different of 0, we have one solution.

If both a and b are 0, we have infinite solutions.