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Ede4ka [16]
2 years ago
9

In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x)

and g(x) have shading in common is labeled AB.
Graph of two intersecting lines. The line g of x is solid and goes through the points 0, 2, negative 2, 0 and is shaded in below the line. The other line f of x is dashed, and goes through the points 0, 6, 3, 0 and is shaded in below the line.

The graph represents which system of inequalities?

y < −2x + 6
y ≤ x + 2
y ≤ −2x + 6
y < x + 2
y < 2 over 3x − 2
y ≥ 2x + 2
None of the above

Mathematics
2 answers:
snow_lady [41]2 years ago
6 0
B hope you get a good grade :)
Verdich [7]2 years ago
4 0
B

Hope fully this helps!!
You might be interested in
Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get
bazaltina [42]
Answer:
The number is 6.25

Explanation:
Assume that the number we are looking for is x

First, we will set up the equations as follows:
1- Subtract 1.05 from the number (assume the result is y):
x - 1.05 = y

2- Multiply the difference by 0.8 (assume the product is z):
0.8(y) = z

3- add 2.84 to the product (assume the result is w):
z + 2.84 = w

4- divide the sum by 0.01, the quotient is 700:
w / 0.01 = 700

Now, we will work backwards as follows:
4) w / 0.01 = 700
    w = 0.01 * 700
    w = 7

3) z + 2.84 = w
    z + 2.84 = 7
    z = 7 - 2.84
    z = 4.16

2) 0.8y = z
    0.8y = 4.16
    y = 4.16 / 0.8
    y = 5.2

1) x - 1.05 = y
    x - 1.05 = 5.2
    x = 5.2 + 1.05
    x = 6.25

Hope this helps :)
8 0
2 years ago
Read 2 more answers
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6dollar sign, 6 for each ho
Margarita [4]

For this case, the first thing we must do is define variables.

We have then:

t: number of hours

F (t): total charge

We write the function that models the problem:

F (t) = 6t + b

Where,

b: represents an initial fee.

We must find the value of b.

For this, we use the following data:

Her total fee for a 4-hour job, for instance, is $ 32.

We have then:

32 = 6 (4) + b

From here, we clear the value of b:

32 = 24 + b

32-24 = b

b = 8

Then, the function that models the problem is:

F (t) = 6t + 8

Answer:

the function's formula is:

F (t) = 6t + 8

7 0
2 years ago
Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. C
denis23 [38]

Answer:

i) 60°

ii) 14.7 cm

Step-by-step explanation:

length of Arc BA = 8.4 cm

length of radius = 8 cm

angle AOC = 45°

BO = AO = CO = 8 cm

<u>i) What is the measure of Angle BOA </u>

= length of Arc BA  / Radius

= 8.4 / 8  = 1.05 radians = 60.16° ≈ 60°

<u>ii) what is the length of arc BAC</u>

= radius * angle BAC  * \pi /180

angle BAC = angle AOC + angle BOA

                  = 45° + 60° = 105°

hence length of arc BAC

= 8 * 105 * \pi /180

≈ 14.7 cm

3 0
2 years ago
Read 2 more answers
Gabriel is saving money by mowing lawns on the weekends. Last month, he saved $150. This month, saved 20% more than he saved las
Katyanochek1 [597]

Answer:

180

Step-by-step explanation:

so last month he saved 150 right first you find 20% of 150. that is 30. you add 150 and 30 and get 180.

3 0
2 years ago
Read 2 more answers
a(0.3−y)+1.1+2.4x (y−1.2) ​ =0 =−1.2(x−0.5) ​ Consider the system of equations above, where aaa is a constant. For which value o
Veseljchak [2.6K]

Answer:

For a = 1.22 there is one solution where y = 1.3

Step-by-step explanation:

Hi there!

Let´s write the system of equations:

a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0

-1.2(x-0.5) = 0

Let´s solve the second equation for x:

-1.2(x-0.5) = 0

x- 0.5 = 0

x = 0.5

Now let´s repalce x = 0.5 and y = 1.3 in the first equation and solve it for a:

a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0

a(0.3 - 1.3) + 1.1 + 2.4(0.5)(1.3 -1.2) = 0

a(-1) + 1.1 + 1.2(0.1) = 0

-a + 1.22 = 0

-a = -1.22

a = 1.22

Let´s check the solution and solve the system of equations with a = 1.22. Let´s solve the first equation for y:

1.22(0.3 - y) + 1.1 +2.4(0.5)(y-1.2) = 0

0.366 - 1.22y + 1.1 + 1.2 y - 1.44 = 0

-0.02y +0.026 = 0

-0.02y = -0.026

y = -0.026 / -0.02

y = 1.3

Then, the answer is correct.

Have a nice day!

4 0
2 years ago
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