All categories

3 years ago

Constant of Variation

Mathematics

1 answer:

blondinia [14]3 years ago

7 0

Answer:

B. f and g are reflections of each other about the x-axis.

Step-by-step explanation:

I calculated it logically

You might be interested in

Triangle ABC is congruent to Triangle A’B’C’. Describe a sequence of transformations on triangle ABC that would result in triang

Andre45 [30]

Answer:A

Step-by-step explanation:

6 0

3 years ago

Giorgio offers the person who purchases an 8-ounce bottle of Allure two free gifts, chosen from the following: an umbrella, a 1-

polet [3.4K]

Answer:

P(T) = 1/20 = 0.05

The probability of randomly selecting an umbrella and a shaving kit in that order is 0.05

Step-by-step explanation:

The probability of randomly selecting an umbrella and a shaving kit in that order.

P(T) = Probability of selecting umbrella first P(U) × probability of selecting shaving kit second P(S)

P(U) = 1/5 (1 umbrella out of five possible gifts)

P(S) = 1/4 (1 shaving kit out of four remaining possible gifts)

P(T) = 1/5 × 1/4

P(T) = 1/20 = 0.05

3 0

4 years ago

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

Bond [772]

Answer:

The solution to the equation system given is:

<u>x = 2</u>
<u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

2x + 3y = 1
2(2) + 3(-1)= 1
4 - 3 = 1
1 = 1

And, with the second equation:

3x + y = 5
3(2) + (-1) = 5
6 - 1 = 5
5 = 5

4 0

3 years ago

When a number is decreased by 23, the result is -9. find the number

Akimi4 [234]

14
subtract 9 from 23. you get 14, 14-23=-9

8 0

3 years ago

If f(x)= 4x+3 and g(x)= 3x evalute f(x). g(x) for x=-1 over 2

padilas [110]

$\bf \begin{cases}
f(x)=4x+3\\
g(x)=3x\\
------------\\
f(x)\cdot g(x)=(4x+3)(3x)\\
\qquad \qquad \qquad 12x^2+9x
\end{cases}
\\\\\\
\boxed{x=-\cfrac{1}{2}}\qquad \qquad 12\left( -\frac{1}{2} \right)^2+9\left( -\frac{1}{2} \right)\implies 12\left( -\frac{1}{2} \right)\left( -\frac{1}{2} \right)+9\left( -\frac{1}{2} \right)
\\\\\\
12\left( \cfrac{1}{4} \right)-\cfrac{9}{2}\implies 3-\cfrac{9}{2}\implies \cfrac{6-9}{2}\implies \cfrac{-3}{2}\implies -1\frac{1}{2}$

6 0

3 years ago