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ArbitrLikvidat [17]
3 years ago
11

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. One line g of x is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line f of x is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line. The graph represents which system of inequalities? y ≤ −2x + 3 y ≤ x + 3 y ≥ −2x + 3 y ≥ x + 3 y ≤ −3x + 2 y ≤ −x + 2 y > −2x + 3 y > x + 3

Mathematics
2 answers:
mamaluj [8]3 years ago
6 0

Answer:

First option:  \left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.

Step-by-step explanation:

The missing graph is attached.

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and  "b" is the y-intercept.

We can observe that:

1. Both lines have the same y-intercept:

b=3

2. The lines are solid, then the symbol of the inequality must be \leq or \geq.

3. Since both shaded regions are below the solid lines, the symbol is:

\leq

Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:

\left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.

Lubov Fominskaja [6]3 years ago
5 0

Answer:

y ≤ −2x + 3

y ≤ x + 3

Step-by-step explanation:

they both share the slope of 3.

line a has a slope of -2

line b has a slope of 1

the sign ≤ means that the inequalities have a solid line and there below the line.

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Which number is in the solution set of this equation? 7x − 9 = 40
skad [1K]

Answer: the answer is 7

Step-by-step explanation: add 9 to both sides, eliminating -9 so now you have 7x=49 divide both by 7 and you get x= 7 check it by inputing 7 for x, 7(7)-9=40

7(7)=49 next 49-9= 40

it checks out, so x= 7

7 0
3 years ago
If f(x)=8-10x and g(x) =5x +4, what is the value of (fog)(-2)?
swat32

Answer:

  68

Step-by-step explanation:

Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.

__

<h3>f∘g</h3>

The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.

Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.

<h3>g(-2)</h3>

To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...

  g(x) = 5x +4

  g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math

<h3>f(g(-2))</h3>

Now that we know g(-2) = -6, we know this expression is ...

  f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x

Then the value we're looking for is ...

  (f∘g)(-2) = 68

8 0
2 years ago
Factor completely 7x3y +14x2y3 − 7x2y2.
netineya [11]
The answer to the question is b

8 0
3 years ago
Read 2 more answers
Simplify the expression:<br> (1 2/7)(-4 1/5)
stealth61 [152]

Answer:

-27/5 or -5 2/5

Step-by-step explanation:

Simplify

1 2/7 to 9/7

-4 1/5 to -21/5

multiply together

(9)(-21)/(7)(5)

-189/35

u can simplify by diving by 5 to get

-27/5

4 0
3 years ago
PLEASE ANSWER ASAP!
muminat

Answer:

I think it volume will be 234m3

7 0
2 years ago
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