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lions [1.4K]
3 years ago
11

Determine whether the graph of the quadratic function y = –3x2 + 2x + 5 opens upward or downward. Explain.

Mathematics
1 answer:
givi [52]3 years ago
4 0

Answer:

The graph of the function opens downwards.

Step-by-step explanation:

The graph opens upward if the coefficient of x^2 is higher than 0.

But, the coefficient of x^2 (-3) is less than 0.

So the graph of the function opens downwards.

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Which is the slope of the line that passes through the points (3,5) and (8,7)?
Hatshy [7]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

m=\boxed{\frac{2}{5}}

»»————- ★ ————-««  

Here’s why:  

  • The formula for the slope of two given lines given is 'rise over run'.

⸻⸻⸻⸻

\boxed{\text{Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\\rightarrow (x_1,y_1),(x_2,x_1) - \text{Two Points Given}

⸻⸻⸻⸻

  • We are given the points (3,5) and (8,7).

⸻⸻⸻⸻

\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{7-5}{8-3}\\\\\rightarrow \boxed{m=\frac{2}{5}}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7 0
3 years ago
Hello im back<br> i got a headache in Philippines server so i don't wanna come back to that server​
raketka [301]

Answer:

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Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the distance between the following points?
likoan [24]

Answer:

11.

Step-by-step explanation:

9 right, and 2 up

7 0
3 years ago
1. determine if the functions are inverse functions
kirill115 [55]

Answer:

<u>Question 1</u>

The function f(x) = x + 6 is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so f^{-1}(x)=x-6

Therefore, g(x) is the inverse of f(x).

<u>Question 2</u>

The function f(x) = -3x -9 is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

\implies y = -3x -9

Rearrange the equation to make x the subject:

\implies y+9= -3x

\implies x=-\dfrac13(y+9)

\implies x=-\dfrac13y-3

Replace x with f^{-1}(x) and y with x:

\implies f^{-1}(x)=-\dfrac13x-3

Therefore, g(x) is the inverse of f(x).

5 0
2 years ago
A toy box has 6 faces.There are square there are 12 edges and 8 vertices.Identify the shape of the toy box.
xxTIMURxx [149]

Answer:

A cube or a cuboid.

Step-by-step explanation:

A cube or a cuboid is a three dimensional shape that has

12 edges, 8 corners or vertices, and 6 faces.

The difference between a cube and cuboid is that a cube has all edges equal which makes every face a square while a cuboid has two square faces and four rectangular faces.

6 0
3 years ago
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