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tia_tia [17]
3 years ago
11

On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1, negative 4), and goes through (

3, 0).
Which describes all of the values for which the graph is positive and decreasing?

all real values of x where x < −1
all real values of x where x < 1
all real values of x where 1 < x < 3
all real values of x where x > 3
Mathematics
2 answers:
myrzilka [38]3 years ago
8 0

Answer:

Option A.

Step-by-step explanation:

It is given that an open up parabola goes through (-1, 0), has a vertex at (1, -4), and goes through (3, 0).

x-intercepts of the function are (-1,0) and (3,0).

The vertex of an upward parabola is the point of minima. The function is decreasing on the left side of the vertex and the function is increasing on the right side of the vertex. It means

Function is positive and decreasing where x<-1

Function is negative and decreasing where -1 < x < 1.

Function is negative and increasing where 1 < x < 3.

Function is positive and increasing where x>3.

Therefore, the correct option is A.

Murrr4er [49]3 years ago
4 0

Answer:

All real values of x where x < −1.

Step-by-step explanation:

There is a turning point at x= 1 and f(x) = -4 and it open upwards.

So it decreases for all real values of x  where x < 1. But it passes through the point (-1,  0) after which the values of the function become negative.

So the answer is all real values where x < -1.

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Can you please help me THAKS! IN A HURRY IT'S midnight and I am trying to finish my work from home My parents allow me to ask
rusak2 [61]

Answer: 6.82

Step-by-step explanation:

So we know the Law of Sines which is that Sin A/a = Sin B/b = Sin C/c. The Sin on top of the fraction is the angle, and the letter on the bottom is the side opposite from that angle.

Our first step is going to be finding the last angle. We have 2 angles already, but one that's missing. We know that all triangles' angles add up to 180, so we can add 68+40=108. Then do 180-108 to get 72. Now we know the third and final angle.

Ok so back to Law of Sines. Now we can plug into that equation. We only need Sin A/a = Sin B/b (It doesn't matter what order you put them in). And remember the lowercase letter at the bottom represents the OPPOSITE side from one of the angles. Since the problem wants the side opposite Sin 68, let's set up a proportion.

\frac{Sin72}{7} =\frac{Sin 68}{x}

Set up we have what we know. We know one side, and opposite that is the angle we already solved for. Now we can cross multiply and end up with:

x (Sin 72)= 7(Sin 68)

Since we want to isolate x, we can divide each side by Sin 72.

x= 7(Sin 68)/Sin 72

So now let's put it into the calculator:

7(Sin 68)=6.2853

Now let's divide 6.2853/Sin 72

And you should be left with 6.82 if you round it!

7 0
3 years ago
Geometry. Very basic.
AveGali [126]

Answer:

A)10.25 cm ; B)5 square cm  

Step-by-step explanation:

A)

Formula:

p=(a+b+c)         [p= perimeter ;  a,b , and c are the side lengths.]

∴The perimeter of the triangle =(4+2.75+3.5) cm  

                                                =10.25 cm

B)

Formula:

A = 1/2 . b .h    [A=area ; b= base ; h= height]

∴The area of the triangle = (1/2 . 4 . 2.5) square cm    [b=4 ; h=2.5]

                                         =5 square cm  

6 0
2 years ago
???? I don’t understand how to do this problem
Firdavs [7]

I think you are correct actually.

6 0
3 years ago
Everyone plz help me this is hard for me
timofeeve [1]

Answer:

51

Step-by-step explanation:

8 0
2 years ago
Pls help thanks alot in advance ​
Rashid [163]

Answer:

A. True

B. True

C. False

D. True

4 0
3 years ago
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