All categories

3 years ago

On what interval(s) of x is f(x) increasing?

Mathematics

1 answer:

Stels [109]3 years ago

6 0

Answer:

Increasing → (-∞, -0.5)

Decreasing → (-0.5, ∞)

Step-by-step explanation:

From the picture attached,

Vertex of the parabola represents the highest point of the curve of a quadratic function 'f'.

Left part from the vertex is increasing and the right side is increasing.

x-coordinates of the vertex,

x = -0.5

Therefore, graph of the function is increasing in the interval (-∞, -0.5)

And decreasing in the interval (-0.5, ∞).

You might be interested in

A base is labeled on the triangle below.

tester [92]

Answer:a

Step-by-step explanation:

Hope it helps

6 0

3 years ago

Read 2 more answers

Assume a random sample of size n is from a normal population. Assume a single sample t test is used to for hypothesis testing. T

JulsSmile [24]

Answer:

true

Step-by-step explanation:

type 1 and type 2 are not independent of each other - as one increases, the other decreases

4 0

4 years ago

Simplify the expression 5/x-2y5

34kurt

5x-y10 We're basically just multiplying the 5 by x and the y by 5 and -2.

(5/x= 5x) + (y/-2/-5)

7 0

4 years ago

What is the value of sinθ given that (3, −7) is a point on the terminal side of θ ? −758√58 758√58 358√58 −358√58?

Svetach [21]

Answer:

$\boxed{\sin(\theta)=-\frac{7}{58}\sqrt{58}}$

Step-by-step explanation

The given point $(3,-7)$ tells us that the terminal side of $\theta$ is in the fourth quadrant.

From the diagram in the attachment,

We can use the Pythagoras Theorem to find the length of the hypotenuse of the right triangle.

Let the hypotenuse be $h\: units$ . Then,

$h^2=7^2+3^2$

$h^2=49+9$

$h^2=58$

$\Rightarrow h=\sqrt{58}$

Now we use the sine ratio;

$\sin(\theta)=\frac{Opposite}{Hypotenuse}$ .

But since the terminal side of $\theta$ is in the fourth quadrant, the sine ratio must be negative.

This implies that;

$\sin(\theta)=-\frac{7}{\sqrt{58}}$ .

We rationalize the denominator to get;

$\sin(\theta)=-\frac{7}{58}\sqrt{58}$ .

3 0

3 years ago

A baby weighs 8 pounds 10 oz.if her weight doubles in six month, how much will she be in 6 months

Cerrena [4.2K]

To do this, double both numbers.

16 lbs and 20 oz.

There are 16 oz in a pound.

Subtract 16 from the oz = 4

Then add 1 to the lbs.

=17 lbs 4 oz

6 0

3 years ago