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2 years ago

Choose the correct inequality for the graph

Mathematics

1 answer:

BlackZzzverrR [31]2 years ago

7 0

Answer:

y>=x+1

Step-by-step explanation:

it will be y>= x+1 bcz the shaded area shows a straight line rather than a dotted line which means the line is part of the shaded region. so that's why y>=x+1

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A relation contains the points (negative2, 4), (negative1,1), (0,0), (1,1), and (2,4). Which statement accurately describes this

jasenka [17]

Answer:

We have the points:

(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)

First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:

f(x) = f(-x)

And in this case we have:

f(-2) = 4 = f(2)

f(-1) = 1 = f(1)

Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).

Such that:

f(x) = a*x^2 + b*x + c

Now let's use the known points to find our equation, we start with (0, 0)

f(0) = 0 = a*0^2 + b*0 + c

then c = 0.

f(x) = a*x^2 + b*x

Now let's use the points (1, 1) and (-1, 1)

f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1

a + b = a - b

+b = -b

2*b = 0

Then we must have b = 0

f(x) = a*x^2

And now we can use the point (2, 4)

f(2) = 4 = a*2^2 = a*4

Then a = 1.

Our function is f(x) = 1*x^2

7 0

2 years ago

Help! Due tomorrow

Paladinen [302]

Mean good property, Can be distorted outlives therefore giving less value with also short answers distorting

Median Very big and very small values don't affect it at all, it can take hours to calculate

Mode can calculate average good, It may not accurately represent the data as in 10 10 and 13 the average is 11

6 0

2 years ago

Zoe keeps track of the miles per gallon her car gets per week. She has accumulated the following data: (1, 24), (2, 24.38), (3,

KIM [24]

For this case we have the following data:
(1, 24), (2, 24.38), (3, 24.76), (4, 25.14)
We observe that, we have an arithmetic sequence.
That is, we have:
 $an + 1 = an + d 
$
Where,
an + 1: next term
an: previous term
d: common difference.
So we have to clear d:
 $d = an + 1 - an 
$
 Substituting any values of the table (coordinate y) we have:
 $d = 24.38 - 24 

d = 0.38$ 
Answer:
a. The common difference is 0.38

3 0

2 years ago

Find the area of the figure

bulgar [2K]

Answer:

Step-by-step explanation:

Formula for Area of Triangle = $\frac{B * h}{ 2 }$

8 x 8 = 64

64/2 = 32

4 0

2 years ago

Factor this problem ? 125 +27y^3

koban [17]

Answer:

(5 + 3y)(25 - 15y + 9y²)

Step-by-step explanation:

This is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

125 + 27y³

= 5³ + (3y)³ with a = 5 and b = 3y

= (5 + 3y)(5² - 5(3y) + (3y)² )

= (5 + 3y)(25 - 15y + 9y²)

6 0

2 years ago