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faltersainse [42]
2 years ago
7

Students in Mr. Hill’s class were asked how many TV shows they watched last weekend. The results are shown on the line plot.

Mathematics
1 answer:
MAXImum [283]2 years ago
8 0

Answer:

D

Step-by-step explanation:

Plz mark brainliest

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Write the quadratic equation whose roots are -3 and 3 and whose leading coefficient is 5. (Use the letter x to represent the var
Bumek [7]
A(x - x₁)(x - x₂) = 0
a=5,  x₁=-3,  x₂ = 3

so:
5(x-(-3))(x-3)=0
5(x+3)(x-3)=0
5(x²-9) = 0
5x² - 45 = 0   ←  answer
4 0
3 years ago
Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF
Contact [7]

Find the equation of the inverse.

y =  {2}^{x + 5}  - 6

we have

y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6

step 1

Exchange the variables

x for y and y for x

x=\{2\}^{\{y+5\}}-6

step 2

Isolate the variable y

(x+6)=2^{(y+5)}

apply log both sides

\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\  \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}

step 3

Let

f^{(-1)}(x)=y

therefore

the inverse function is

f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5

7 0
1 year ago
Help with this question please
dimaraw [331]

The answer should be C

4 0
3 years ago
The general form of an parabola is 4y2 + 40y + 3x + 103 = 0
valentinak56 [21]

The standard form of the parabola is   x = -4/3y² -40/3y -103/3

What is parabola?

A parabola is an approximately U-shaped, mirror-symmetrical planar curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. One way to describe a parabola is with a point and a line.

 x = -4/3(y +5)² -1

Solve for x.

 x = (4y² +40y +103)/(-3)

 x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US

__

Taking our clues from the graph*, we can write the vertex form equation as ...

 x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places

____

* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...

 x = a(y -(-5))² +(-1) = a(y +5)² -1

The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.

To learn more about parabola visit:brainly.com/question/21685473

#SPJ4

5 0
1 year ago
(x + y + z = 3<br> -y = x<br> 2z + 3y = 0<br> What does x and y equal?
NeTakaya

Answer:

x=2 and y=-2

Step-by-step explanation:

7 0
2 years ago
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