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aev [14]
3 years ago
7

Y varies directly as x, and y = 22.5 when x = 0.9. Write a direct variegation equation for this situation

Mathematics
1 answer:
aliina [53]3 years ago
4 0

Answer:

y=25x

Step-by-step explanation:

<u>Function Models</u>

There are times where we are interested in expressing data sets into mathematic models. One of the most commonly used is the linear model, where the dependent variable has a linear relation with the independent variable. A special case of a linear model is the direct relation or proportion, where the variables relate in the form:

y=kx

Where k is an arbitrary constant.

We know y=22.5 when x=0.9. This can be used in the equation above to find the value of k:

22.5=k(0.9)

Solving for k:

\displaystyle k=\frac{22.5}{0.9}=25

The equation that models the relation is:

\boxed{y=25x}

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If LK is congruenat to MK, LK=7x-10, KN=x+3, MN=9x-11, and KJ=28, find LJ
Juliette [100K]

Answer:

Step-by-step explanation:

Xqual-5

4 0
3 years ago
How many quarter pound buyers can george make out of 3 and 1/2 pounds of ground beef?
weeeeeb [17]
Divide the total amount by the portion size.

= 3 1/2 ÷ 1/4
convert 3 1/2 to improper fraction

= (2*3+1)/2 ÷ 1/4
= 7/2 ÷ 1/4

to divide a fraction, we multiply by the reciprocal/inverse of 1/4

= 7/2 * 4/1
multiply numerators, then multiply denominators

= (7*4)/(2*1)
= 28/2

= 14

ANSWER: 14

Hope this helps! :)
8 0
3 years ago
Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.
Oduvanchick [21]
  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c

\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

In this case, we have the graph of:

y=x

And we need to translate it to make it the graph of:

y=x-1+4

According to our rules we need:

  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

But y=x-1+4 is the same as y=x+3, so the previous steps can be simplified as:

  • Shifting the graph of y=x 3 unit to the left.

Below are shown those graphs:

  • The blue one is y=x
  • The red one is y=x-1+4

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

6 0
3 years ago
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years. With all else equal, what is th
irga5000 [103]

Answer:

The future value of this initial investment after the six year period is $2611.6552

Step-by-step explanation:

Consider the provided information.

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.

Future value of an investment: FV=P(1+r)^n

Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.

9% compounded semiannually for 6 years.

Therefore, the value of r is: r=\frac{0.09}{2}=0.045

Number of periods are: 2 × 6 = 12

Now substitute the respective values in the above formula.

FV=1540(1+0.045)^{12}

FV=1540(1.045)^{12}

FV=1540(1.69588)

FV=2611.6552

Hence, the future value of this initial investment after the six year period is $2611.6552

6 0
3 years ago
In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of t
zmey [24]

Answer:

the answer is c uwU

Step-by-step explanation:

Here, base is the length of the side adjacent to angle   and hypotenuse is the longest side of the right angle triangle.

6 0
2 years ago
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