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3 years ago

9

(25 POINTS) Write the inequality of the following graph?

1 answer:

Ainat [17]3 years ago

5 0

Answer:

f(x) > -x + 2

Step-by-step explanation:

First I found the equation of the line.

The y intercept is at 2 so I know to add 2 at the end

The slope is -1 since it is going downwards

Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than

Putting all that together, the equation is f(x) > -x + 2

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in sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shad

GaryK [48]

The ratio of the height of the stick to the length of its shadow is equal to the ratio of the height of the tree to the length of its shadow.

x - the height of the tree

$\frac{4}{2}=\frac{x}{18} \\ 2=\frac{x}{18} \\ 2 \times 18=x \\
x=36$

The tree is 36 ft tall.

3 0

3 years ago

PLEASE ANSWER ASAP! IMPORTANT! MUST BE CORRECT! GIVING OUT POINTS!

mr Goodwill [35]

So an even number is represented as 2n where n= a whole number
an odd is 1 more than an even so 2n+1 is odd

so even+odd=2n+2n+1=4n+1=
we see 2 2n's in there which are even
(even)+(even)+1
we know that even+even=even try that withe any 2 even numbers
then +1 means it's odd so therefor it is always true

7 0

3 years ago

Read 2 more answers

(I’ll give brainliest)

OLga [1]

Answer:

85.5 miles

Step-by-step explanation:

From the attached diagram, distance between the two rest stops :

Rest stop A to Rest stop B = 2 1/4 inches

Scale factor :

1 in = 38 miles

Acrual distance would be :

2 1/4 inches would be :

2 1/4 * 38 miles

9/4 * 38 = 85.5 miles

6 0

3 years ago

find the circumference of the circle. d=23 in. a)144.44 in b)1661.06 in c)36.11 in d)72.22 in e)415.27 in

snow_lady [41]

Circumference of a circle = $\pi$ (diameter)

Diameter = 23 in.

Plug in the diameter = 23 in in the formula of circumference given above

Circumference of a circle = $\pi$ (23)

Circumference of a circle = 23 $\pi$

$\pi$ = 3.14

Circumference of a circle = 23 (3.14)

Circumference of a circle = 72.22 in

Option D is the answer

4 0

4 years ago

Read 2 more answers

This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

creativ13 [48]

Answer:

Part a) The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

$f(x)=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

$f(x)=a(x-2)^2-8$

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

$0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2$

therefore

The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

$f(x)=a(x-x_1)(x-x_2)$

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

so

$f(x)=a(x-0)(x-4)$

$f(x)=ax(x-4)$

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

$-8=a(2)(2-4)\\-8=-4a\\a=2$

therefore

The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

4 0

4 years ago