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3 years ago

Which of the following inequalities best represents the graph above?

Mathematics

2 answers:

Crazy boy [7]3 years ago

8 0

Answer:

X<9

Step-by-step explanation:

xenn [34]3 years ago

5 0

Answer:

x < 9

Step-by-step explanation:

When graphing a simple inequality on a number line, we draw a dot above the number in the solution. if the inequality is strictly less than or strictly greater than, we leave the dot open; if it is greater than or equal to, or less than or equal to, we fill the dot in.

We then shade the number line. If the inequality is less than or less than or equal to, we shade the line to the left. If the inequality is greater than or greater than or equal to, we shade the line to the right.

On this number line, the dot is above 9. This makes 9 the solution.

The dot is open; this means it is either strictly less than or strictly greater than.

The line is shaded to the left of 9; this means it is less than.

Together, this gives us

x < 9

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In early spring, you are wanting to purchase 6 potted rose plants. The plants to choose from come in 8-inch pots that sell for $

topjm [15]

Things we know:
Six total pots = # of 10" + # of 8"
$78 total = cost of 10" + cost of 8"

So:
6 = x +y
and
78 = x*(cost of x) + y * (cost of y)
78 = x*12 + y*15

We need:
x+y=6 AND 12x+15y=78

So our answer can only be B.

6 0

3 years ago

Find the 12th term of the arithmetic sequence given a3=116 and a7=180

SOVA2 [1]

Answer:

Step-by-step explanation:

nth term = a +(n-1)d

a3 = 116 ; a + 2d = 116 ---------(i)

a7 = 180; a + 6d = 180 -------(ii)

multiply (ii) by -1. so a will be eliminated

a + 2d = 116 ---------(i)

(ii)*-1 -a - 6d = -180 -------(ii) { Now add the two equations}

- 4d = -64

d = -64/-4

d = 16

Plug in the value of d in equation (i),

a + 2*16 = 116

a + 32 = 116

a = 116 - 32

a = 84

12th term = 84 + 11* 16 = 84 + 176 = 260

5 0

3 years ago

A gardener uses a coordinate grid to design a new garden. The gardener uses polygon WXYZ on the grid to represent the garden. Th

ValentinkaMS [17]

Answer:

A square

36 square yard.

Step-by-step explanation:

Given the following information:

W(3,3), X(-3,3), Y(-3,-3), and Z(3,-3)

So we need to graph those vertices and connect them in order.

(please have a look at the attached photo)

From the graph, it clear that the shape of the garden is a square.

Then, we need to calculate the length of the four sides

Find the length of the side YZ.

The length of side YZ = 3 + 3 = 6 yards because point Y and Z are on the same line y = -3 so we just need to find the distance between their x coordinate

Find the length of the side WZ.

The length of side WZ = 3 + 3 = 6 yards because point W and Z are on the same line x = 3 so we just need to find the distance between their y coordinate

=> the area of the square WXYZ:

= YZ*WZ

= 6*6

= 36 square yard.

7 0

3 years ago

Priya has completed 9 exam questions. This is 60% of the questions on the exam. How many questions are on the exam?

USPshnik [31]

the whole exam will be 100%, and let's say that's "x" questions, but we also know that 9 is 60% of that so

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 9&60 \end{array}\implies \cfrac{x}{9}=\cfrac{100}{60}\implies \cfrac{x}{9}=\cfrac{5}{3}\implies 3x=45 \\\\\\ x=\cfrac{45}{3}\implies x=15$

8 0

2 years ago

Solve each system by substitution method. X=2y+11 7x+2y=13

Andreyy89

Step-by-step explanation:

you need to substitute the x in (7x +2y=13) with (x=2y+11) to solve it

7 0

1 year ago

Read 2 more answers

Which of the following inequalities best represents the graph above?​

Which of the following inequalities best represents the graph above?