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MAXImum [283]
3 years ago
11

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

(x) have shading in common is labeled AB
the graph represents which system of inequalities?

A. y≤-2x+3
y≤x+3

B. y≥-2x+3
y≥x+3

C. y≤-3x+2
y≤-x+2

D. y>-2x+3
y>x+3​​
Mathematics
1 answer:
yaroslaw [1]3 years ago
6 0

Answer: A

Step-by-step explanation:

The answer is A.

y≤-2x+3 .... (1)

y≤x+3 ..........(2)

In the system is inequality above, the f(x) is a negative graph while the g(x) is a positive graph.

The two function have different gradients ( slope) so, the will surely have the intersecting portion or area where f(x) and g(x) have shading in common which is labeled AB.

You might be interested in
Which equation has the correct sign on the product?
Alik [6]

Answer:

B

Step-by-step explanation:

(+)x(-)=(-)

(-)x(-)=(+)

8 0
2 years ago
Solve the literal equation for x. <br><br> w=5+3(x−1)
ICE Princess25 [194]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = w/3 - 2/3

4 0
3 years ago
Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati
riadik2000 [5.3K]

Answer:

y = \frac{3}{2} x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - \frac{2}{3} (x + 5) ← is in point- slope form

with m = - \frac{2}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{3} } = \frac{3}{2}

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = \frac{3}{2} x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = \frac{3}{2} x + 7 ← equation of line K

7 0
2 years ago
Please help .................
alexandr1967 [171]
The formula to solve the area of a circle is 3.14 (pi) times the radius (1/2 of the circumference) so 3.14 x 8 = 25.12 so your answer is 25.1
4 0
3 years ago
Find the distance between the points (-8, -2) and (6,-1). Round your answer to the nearest hundredth.
vitfil [10]

Answer:

distance is 14.04

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of the right angled triangle of the x and y coordinate differences.

we use Pythagoras

c² = a² + b²

c = the Hypotenuse (the side of the triangle opposite to the 90 degree angle).

the x difference

-8 - 6 = -14

the y difference

-2 - -1 = -1

c² = -14² + -1² = 196 + 1 = 197

c = sqrt(197) = 14.04

7 0
2 years ago
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