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3 years ago

I beg <3

Mathematics

1 answer:

IceJOKER [234]3 years ago

6 0

Answer:

Given:

A set of functions,

A. y = -(x-4)^2

B. y=3(x- 4)^2

C. y = [x] + 4

D. y = -5x + 4.

To Find:

The function whose range is (-infinity, 4].

Solution:

1. The function y = -(x-4)^2 has a minimum value of 0 and it is an increasing function. Hence the maximum value tends towards infinite. Hence the range is [0, infinite).

2. The function y = 3(x-4)^2 has a minimum value of 0 and it is an increasing function. Hence the maximum value tends towards infinite. Hence the range is [0, infinite).

3. y = [x] + 4 (where [x] = greatest integer function). This function is an increasing function with a minimum value towards negative infinity and the maximum value tends towards the positive side of infinity.

=> Range of y = [x] + 4 is (-infinite, infinite).

4. y = -5x+4 is a continuous increasing function without any exceptions.

=> Range of y = -5x+4 is (-infinite,infinite)

Therefore, none of the functions has their range from (-infinity,4].

Step-by-step explanation:

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Solve for x. Assume that lines appear to diameters are actual diameters.

pav-90 [236]

Answer:

B. 9

Step-by-step explanation:

We know that a full circle should equal 360°, that'll help!

Since the 140°+3x+13 should equal to 180, because that makes the half of the circle it covers, we know how to set up our equation!

It should look like this:

3x+13=40

ISOLATE YOUR VARIABLE:

- Subtract 13 from both sides

NEXT, CONTINUE ISOLATING:

3x=27

- Divide by 3 from both sides.

FINALLY:

You will get X=9!

4 0

3 years ago

To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown

algol13

Answer:

$\approx 6^\circ$

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in the answer area.

The situation can be represented by a right angled $\triangle ABC$ in which we are given the base and the height of the triangle.

And we have to find the value of $\angle BAD \ or \ \angle C$ (Because they are the internal vertically opposite angles).

Using tangent ratio:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tanC = \dfrac{AC}{BC}\\\Rightarrow tanC = \dfrac{91}{865}\\\Rightarrow tanC = 0.105\\\Rightarrow \angle C \approx 6^\circ$

Therefore, the angle of depression is: $\approx 6^\circ$

7 0

3 years ago

= X 20 100 60 Please help me

satela [25.4K]

Answer:

x = 100

Step-by-step explanation:

(100-40)/2

= 60/2

= 30

So it's 100

Answered by GAUTHMATH

5 0

3 years ago

Jesse has four friends over to study. He bakes four pizzas to share equally for lunch. His father takes half of one when the piz

Luda [366]

Answer:

they each get 1 slice because the father took half the pizza.

4 0

3 years ago

Find the value of x. Picture below

Wittaler [7]

Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.

As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.

Here in the figure the other two angles given $(2x)^o$ and $(x+15)^o$ . Sum of these two angles is 90°.

So we can write the equation as,

$(2x)+(x+15) = 90$

We have to remove the parenthesis now.

$2x+x+15 = 90$

Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,

$3x+15 = 90$

To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.

$3x+15-15 = 90-15$

$3x= 90-15$

$3x= 75$

Now to get x, we have to move 3 to the other side, by dividing it to both sides.

$(3x)/3 = (75)/3$

$x = (75)/3$

$x = 25$

We have got the required value of x.

The solution is x= 25.

3 0

4 years ago