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jok3333 [9.3K]
3 years ago
10

HELP HELP HELP A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled

in the graphs of the parabolas shown below.
Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply.

From x = -2 to x = 0, the average rate of change for both functions is negative
For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function.
The quadratic function, y = x2 + 3, has an x-intercept at the origin
The quadratic function, y = x2, has an x-intercept at the origin
From x = -2 to x = 0, the average rate of change for both functions is positive
For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

Mathematics
1 answer:
Softa [21]3 years ago
5 0

Answer:

From x = -2 to x = 0, the average rate of change for both functions is negative

&

The quadratic function, y = x2, has an x-intercept at the origin

Step-by-step explanation:

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Let F(x)=-7x-12 and g(x)=13-3x. What is f-g?
Oxana [17]

Answer:

(f - g)x = -4x - 25

Step-by-step explanation:

Given:

f(x) = -7x - 12

g(x) = 13 - 3x

Required:

(f - g)x

SOLUTION:

(f - g)x = f(x) - g(x)

f(x) - g(x) = (-7x - 12) - (13 - 3x)

= -7x - 12 - 13 + 3x

Collect like terms

= -7x + 3x - 12 - 13

(f - g)x = -4x - 25

8 0
4 years ago
Sin^2(x/2)=sin^2x <br> Find the value of x
Veronika [31]
\sin^2\dfrac x2=\sin^2x
\dfrac{1-\cos x}2=1-\cos^2x
1-\cos x=2-2\cos^2x
2\cos^2x-\cos x-1=0
(2\cos x+1)(\cos x-1)=0
\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}

The first case occurs in 0\le x for x=\dfrac{2\pi}3 and x=\dfrac{4\pi}3. Extending the domain to account for all real x, we have this happening for x=\dfrac{2\pi}3+2n\pi and \dfrac{4\pi}3+2n\pi, where n\in\mathbb Z.

The second case occurs in 0\le x when x=0, and extending to all reals we have x=2n\pi for n\in\mathbb Z, i.e. any even multiple of \pi.
6 0
4 years ago
Evaluate 3^2 + (5-2) X 4 - 6/3
muminat

Answer:

The result is 19

Step-by-step explanation:

3^{2}  + (5-2)x4 - 6/3

Step 1: Parenthesizing (5-2)=3

3^{2}  + 3x4 - 6/3

Step 2: Exponentiation 3^{2}=9

9  + 3x4 - 6/3

Step 3: Multiplication and division 3x4=12 and 6/3=2

9  + 12 - 2

Step 4: Addition and subtraction 9+12=21, and 21-2=19

21-2

19

The operations are ordered from highest to lowest in the order:

1. Parenthesizing,

2. Factorial,

3. Exponentiation,

4. Multiplication and division,

5. Addition and subtraction.

Hope this helps!

6 0
3 years ago
Read 2 more answers
1. You spend $18 on breakfast and tax is 7%. Wha is your total? ​
KIM [24]

Answer:

the answer is $20.33 I hoñe it helps

7 0
3 years ago
All the edges of cube add to a total length of 48 cm. What is the area of one face of the cube?
raketka [301]

Answer:

<u>16 cm²</u>

Step-by-step explanation:

A cube has 12 edges.

Therefore, length of each edge

= 48/12

= 4 cm

Area of face = edge x edge

= 4 x 4

= <u>16 cm²</u>

5 0
2 years ago
Read 2 more answers
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