Help me pleaseeeeeee with math

Need help on this certain question

laila [671]

Answer:

As x increases , y decreases then increases

Step-by-step explanation:

There are two situation

1> when x < 0

2> when x>= 0

let see

when x < 0

we see that as value of x moves from -ve value towards zero (i.e x is increasing) then value of y is decreasing( value of x has moved from positive side of y( above x-axis) towards negative side of (below x-axis)\

Thus, we can say that

for x < 0

As x increases , y decreases

________________________________________

when x>= 0

we see that as value of x moves from 0 towards +ve value(i.e x is increasing) then value of y is increasing( value of x has moved from negative side of y( below x-axis) towards positive side of (above x-axis)\

Thus, we can say that

for x >= 0

As x increases , y increases

_________________________________________

combining both observation it can be said that

As x increases , y decreases then increases which is equal to fouth option

8 0

3 years ago

In the questions below nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them stand in a row

julsineya [31]

Answer:

Step-by-step explanation:

Ben is present in all pictures so rest of 4 persons to be selected from 8 persons , no of ways to do it is

⁸C₄ = 8 x 7 x 6 x 5 / 4 x 3 x 2 x 1

= 70 .

In one of these combination , we can get 5 ! ( five factorial )

Total no of permutations

= 70 x 5 !

= 8400 .

b ) Both Ed and Gail are present

The above derivation changes to the following .

Total no of permutations

= ⁷C₃ x 5 !

= 35 x 120

= 4200

c )

exclude 2 person from 9 to be selected

permutation

= ⁷C₅ x 5 !

= 21 x 120

= 2520

d )

rest of 3 person from 7 persons , no of permutations

⁷P₃ = 7 x 6 x 5 = 210

e )

Hal or Ida can occupy any of the 5 position which can be done in 5 ways .

when one position is occupied , the rest of 4 position can be occupied by 7 persons which can be done in

⁷P₄ ways

Total ways = 5 x ⁷P₄

= 5 x 840

= 4200

f )

They can occupy position like 1,2 or 2,3 or 3,4 or 4,5

Rest of the position can be occupied in ⁷P₃ ways

Total ways = 4 x ⁷P₃

= 4 x 210

= 840

They can also be exchanged mutually so no of ways

= 840 x 2 = 1680 .

g ) No of pictures in which Ann and Ben are present

two position to be selected out of 5 = ⁵P₂

Rest of position that can be shuffled = ⁷P₃

Total no of pictures in which both are present

= ⁵P₂ x ⁷P₃

= 20 x 210

= 4200

out of which they will be standing next to each other = 1680

no of pictures in which they will not be standing next to each other

= 4200 - 1680 = 2520. .

3 0

3 years ago

Write an equation in slope-intercept form of the line that passes through the points (7, – 4) and (3, -1).

Lena [83]

Answer:

Step-by-step explanation:

y2-y1/x2-x1

-1-(-4)/3-7

3/-4

y=mx+b

For the y coordinate it can be either -4,or -1

-4=3/-4x+b

b=13/4

8 0

3 years ago

A 15-ft ladder is propped against a vertical wall and makes a 72 ̊ angle with the ground. How far is the foot of the ladder from

murzikaleks [220]

We first approach this problem by illustrating the situation. Refer to the diagram attached.

From the diagram, we can clearly see that we need to simply solve for the length marked x in order to find the distance between the foot of the ladder to the base of the wall.

Remember SOHCAHTOA. We can apply here the concept of cosine since we have the angle. Incorporationg x into the equation, we can simply make use of the relation cosine 72° = adjacent/hypotenuse.

$cos(72deg)= \frac{x}{15}$
$15cos(72deg)=x$
$x=4.6$

ANSWER: The distance between the foot of the ladder and the base of the wall is 4.6 feet.

6 0

3 years ago

Suppose a map company wants to produce a globe with a surface area of 450 in2. use the formulaa equals 4 πr squared , where a is

Marizza181 [45]

We know that
[surface area of a sphere]=4*pi*r²
r²=surface area/(4*pi)
r=√[surface area/(4*pi)]
surface area=450 in²
r=√[450/(4*pi)]------> r=5.98 in------------> r=6 in

the answer is
r=6 in

4 0

3 years ago