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Jobisdone [24]
4 years ago
6

What is the Y intercept form if the points go through -8, -1

Mathematics
1 answer:
bogdanovich [222]4 years ago
5 0

the y intercept would be -1

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Triangle PQR is reflected over the line y = x.
goblinko [34]

Answer:

-2,4

Step-by-step explanation:

i just did it

8 0
3 years ago
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A parabola has two x intercepts at (-2 , 0) and (3 , 0) and passes through the point (5 , 10). Find the equation of this parabol
Kamila [148]
Y = a(x + 2)(x - 3) : equation of the parabola in factored form 10 = a(5 + 2)(5 - 2) : (5 , 10) is a point on the graph of the parabola and therefore satisfies the equation of the parabola. a = 5/7: solve the above equation for a.
4 0
3 years ago
!!!!!!!!!!!!!!!!!!!!
Andru [333]

Answer:

f^{-1}(x)=4x+20

Step-by-step explanation:

<u>Given</u>

<u />f(x)=\frac{x}{4}-5\\ \\y=\frac{x}{4}-5

<u>Swap x and y and solve for y</u>

<u />y=\frac{x}{4}-5\\ \\x=\frac{y}{4}-5\\ \\x+5=\frac{y}{4}\\ \\4(x+5)=y\\\\y=4x+20

<u>Final answer</u>

<u />f^{-1}(x)=4x+20

Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.

3 0
3 years ago
Having some trouble with these questions, how do I work them out?
matrenka [14]

5.

Let x be the age of the father and y be the age of the son. As of today, he's 3 times older, so we have x=3y

10 years ago their ages were, respectively, x-10 and y-10, and the father was 5 times older: x-10 = 5(y-10)

So, we have the system

\begin{cases} x=3y\\x-10=5(y-10)\end{cases}

Using the first equation, we can substitute every occurrence of "x" with "3y" in the second equation:

3y-10=5(y-10) \iff 3y-10=5y-50 \iff 2y = 40 \iff y=20

So, the son is 20 years old, which means that the father is 60 years old.

Indeed, 10 years ago they were 10 and 50 years old, so the father was 5 times older.

6.

Let x be the age of the grandfather and y the age of the granddaughter. We know that the grandfather is 10 times older: x=10y

He also is 54 years older: x=y+54

Again, if we substitute x=10y in the second equation we have

10y=y+54 \iff 9y=54 \iff y=6

7 0
3 years ago
a total of 408 tickets were sold for the school play. They were either adult tickets or student tickets. The number of students
Mama L [17]
<span>Given Situation:
=> There are 408 total of ticket sold for a school play
=> 3 times of the tickets are sold to students compare to the adults
=> So the ratio of the given situation is 1 : 3
=> Now, 1 + 3 = 4
Since, we need 4 parts, let’s divide 408 by 4
=> 408 / 4 = 102 – the number of tickets for adults
=> 102 x 3 = 306 – the number of tickets for students
=> 102 : 306</span>



4 0
3 years ago
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