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Misha Larkins [42]
2 years ago
9

Which graph shows the solution set of the inequality 2.9(x+8) <26.1?

Mathematics
2 answers:
andrezito [222]2 years ago
8 0

Answer:

D

Step-by-step explanation:

trust me bro

alekssr [168]2 years ago
3 0

9514 1404 393

Answer:

  D

Step-by-step explanation:

The inequality symbol is < (not ≤), which means the end point of the graph will be an open circle.

After dividing by the coefficient of x, you have an inequality of the form ...

  x +( ) < ( )

which means <em>the solution will be left of the (open circle) end point</em> of the graph. Only one graph has that form.

__

If you actually work through the numbers, you get ...

  x +8 < 9 . . . . . . divide both sides by 2.9

  x < 1 . . . . . . . . . subtract 8 from both sides

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Part of the graph of the function f(x) = (x - 1)(x + 7) is
algol [13]

Answer:

True: B, C and D

Step-by-step explanation:

The graph of the function is shown in the attached diagram.

The vertex of the parabola (parabola is the graph of the function f(x)) is at (-3,-16), because

x_v=\dfrac{1+(-7)}{2}=-3\\ \\y_v=f(-3)=(-3-1)(-3+7)=-4\cdot 4=-16

So, option A is false and option B is true.

As you can see from the graph, the function is increasing for all x>-3, thus option C is true.

The graph is positive for x<-7 and x>1 and negative for -7<x<1, so option D is true and option E is false.

8 0
3 years ago
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5.<br> Which of the following triangles is similar to the triangle shown below?
serious [3.7K]
The first one is similar to the triangle
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3 years ago
I have 4 factors. Three of my factors are 1,2 and 10. What is my fourth factor?
Verdich [7]
The fourth factor is 20.
6 0
3 years ago
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PLEASE HELP
kifflom [539]

\\ \sf\longmapsto \dfrac{x^2-1}{x^2+5x+4}\leqslant 0

  • Solving denominator

\\ \sf\longmapsto x^2+5x+4>0

\\ \sf\longmapsto x^2+4x+x+4>0

\\ \sf\longmapsto x(x+4)+1(x+4)>0

\\ \sf\longmapsto (x+4)(x+1)>0

\\ \sf\longmapsto x>-4\:or x>-1

  • Hence x\neq-1
  • x can't be 0 as it makes function undefined

\\ \sf\longmapsto -4

5 0
2 years ago
ASK YOUR TEACHER Two streets meet at an 84° angle. At the corner, a park is being built in the shape of a triangle. Find the are
Alla [95]

Answer:

22,203 ft^2

Step-by-step explanation:

The area of a triangle with angle ∅ and two sides a and b is;

Area A = 1/2 × absin∅ ......1

The park is in the shape of a triangle, with two sides and an angle given;

Given;

a = 190 ft

b = 235 ft

∅ = 84°

Substituting the values into equation 1;

Area of the park;

A = 1/2 × 190 × 235 × sin84°

A = 22,202.70131409 ft^2

A = 22,203 ft^2 (to the nearest whole number)

Area of the park is 22,203 ft^2

3 0
2 years ago
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