Directions: Solve for x in the inequalities below. Graph and check your solution.
Problem
Graph
Check by Using Substitution
4x + 7 > -21














2x – 2 < -5














10x + 9 < -44







Directions: Solve for x in the inequalities below. Graph and check your solution.
Problem
Graph
Check by Using Substitution
4x + 7 > -21














2x – 2 < -5














10x + 9 < -44














-8x + 4 > -20






















-8x + 4 > -20

Answer:

1.) 1   2.) [tex]\frac{1}{4^{2} }[/tex]   3.)[tex]\frac{7b^{3}}{a^{5}}[/tex] 4.)[tex]\frac{9a^{7}}{b^{6}}[/tex]  5.)[tex]\frac{1}{5^{2}}[/tex] 6.) [tex]\frac{8x^{3}}{27}[/tex]

Step-by-step explanation:

Answer:What is the median of a triangle? If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.

Step-by-step explanation:

Answer:

What is the median of a triangle? If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

Answer:

choice 1) 7

Step-by-step explanation:

6 + (9-1)^2 / 4 x (1/2)^4

6 + 64/4(1/16)

6+16/16

6+1 = 7

Answer:

162$$

Step-by-step explanation:

Answer:

10n is the only term

Step-by-step explanation:

because other numbers are not in the equation

Answer:

0.083

Step-by-step explanation:

Answer:

3 is it

Step-by-step explanation:

Answer:

bottom right corner

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

- times + is equal to -

Answer:

Sin Z = 40/85

Tan G = 75/40

Cos Z = 75/85

Sin M = 1

Step-by-step explanation:

Answer:

i believe its one of these!

A. $0.89 B.$0.79 C. $1.29

Step-by-step explanation:

Answer:

brain

Step-by-step explanation:

brain to the fullest

Answer:

Step-by-step explanation:

Add '-2a' to each side of the equation.

5a + -2a = -6 + 2a + -2a

Combine like terms: 5a + -2a = 3a

3a = -6 + 2a + -2a

Combine like terms: 2a + -2a = 0

3a = -6 + 0

3a = -6

Divide each side by '3'.

a = -2

Simplifying

a = -2

5a -2a -6

3a -6

Step-by-step explanation:

..........................

Answer:

Two angles whose sum in 90 degrees

Step-by-step explanation:

We know that graph (B) models the solution of the given inequality -6 ≤ -3x.

So, in the given inequality:

We know that:

Therefore, we know that graph (B) models the solution of the given inequality -6 ≤ -3x.

Know more about graphs here:

https://brainly.com/question/28953186

#SPJ2

Answer:

The photo is not showing up

Answer:

a.) Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )

b.) Total amount spent by Maria = $ 74.02

Step-by-step explanation:

As given,

Cost of gasoline = $ 3.95 gallon

Cost of oil per can = $ 4.45

Also given,

Maria bought g gallons of gasoline and c cans of oil

⇒ Total cost of g gallons of gasoline = g×3.95 = $3.95g

   Total cost of c cans of oil  = c×4.45 = $4.45c

Now,

a.)

Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )

b.)

As given ,

Maria buy gasoline , g = 8.6 gallons

Maria buy cans of oil , c = 6

So,

Total amount spent = $ 3.95(8.6) + 4.45(9)

                                = $ 33.97 + 40.05 = $ 74.02

⇒Total amount spent by Maria = $ 74.02

Answer: hope this helps ((:

3. kilogram

Answer:

Kilo. number 3

Answer:

d. raíz de 44

[tex] \sqrt{48 \\ } [/tex]

Answer:

7 min

Step-by-step explanation:

Answer:

7 Minutes

Step-by-step explanation:

If you divide 42 by 6, you get 7.

9514 1404 393

Answer:

  A.  f(x) = (x -3)² -1

  B.  vertex: (3, -1); axis of symmetry: x=3; x-intercepts: {2, 4}; y-intercept: 8

  C.  see attached for a graph

Step-by-step explanation:

A. Put the function in vertex form by completing the square. Start by putting parentheses around the terms containing x.

  f(x) = (x² -6x) +8

Now, identify the coefficient of x (-6) and square half of that. (-6/2)² = 9. Add this value inside parentheses, and subtract this value outside parentheses.

  f(x) = (x² -6x +9) +8 -9

Rewrite the trinomial in parentheses as a square. The constant in the binomial will be the value you squared in the previous step.

  f(x) = (x -3)² -1 . . . . . vertex form; a(x -h)²+k for vertex (h, k)

__

B. The vertex and the axis of symmetry can be read from the equation. Here, the vertex is (3, -1). The axis of symmetry is the vertical line through the vertex: x = 3. The x-intercepts are found by solving f(x) = 0.

  f(x) = 0

  (x -3)² -1 = 0

  (x -3)² = 1 . . . . . add the opposite of the 'k' value

  x -3 = ±√1 . . . . take the square root. We need both signs.

  x = 3 ± 1 . . . . . add 3 to get x by itself. These are the x-intercepts.

  x = 3-1 = 2  and  x = 3+1 = 4

The x-intercepts are 2 and 4, points (2, 0) and (4, 0).

The y-intercept is the value of f(0). It is the constant in the original form of the function. f(0) = 8 . . . . y-intercept

__

C. The graph is attached. The various points above are marked, and the axis of symmetry is shown.

Answer:

-f(-x)

Step-by-step explanation:

We need to reflect this across both the x and y axis

which means that we need it to look kind of like this -f(-x)  

Answer:

maybe 65 degrees

sorry if its wrong

Answer:

45 degrees

Step-by-step explanation:

All three angles equal 180

Its a right triangle, C=90

Two angle, 90 degrees left, and they're equivalent so divide by 2

B=45, A=45

Answer:

W = 15. I hope this helped.

Step-by-step explanation:

Steps:

1.Add 19w to both sides.

11=−17w−19+19w

2.Simplify  -17w-19+19w to  2w-19

11=2w−19

3.Add 19 to both sides.

11+19=2w

4. Simplify  11+19  to  30.

30=2w

5.Divide both sides by 2.

30/2 = w

6.Simplify 30/2 to  15.

15=w

7.Switch sides.

w=15

Answer:

14 children

Step-by-step explanation:

If we know the ration, and we are given the adults, we can set up a proportion in order to solve for the amount of children there are.

5:2=35:x

5x=35*2

5x=70

x=14

There are 14 children