1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
arlik [135]
2 years ago
13

-2(3x-1)<8 on a number line

Mathematics
1 answer:
Veronika [31]2 years ago
7 0

Answer:

Checkout the image below the explanation.

Step-by-step explanation:

1. First, let's solve the inequality.

Step 1: Simplify both sides of the inequality.

  • -6x + 2 < 8

Step 2: Subtract 2 from both sides.

  • -6x + 2 - 2 < 8 - 2
  • -6x < 6

Step 3: Divide both sides by -6 and flip the sign.

  • \frac{-6x}{-6}  < \frac{6}{-6}
  • x > -1

2. Now that we solved the inequality and got x > -1, that means that all values of x are more than -1. It can be represented on the number-line as this:

You might be interested in
Please help me with this!!!!
olga_2 [115]
The answer would have to be A
5 0
3 years ago
#2
I am Lyosha [343]

You have the right idea that things need to get multiplied.

What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.

Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.

The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.

So we multiply the entire complex fraction by (5)(x + 6)(x -3).

Numerator: (\frac{1}{5} -\frac{5}{x + 6})(5)(x +6)(x-3) =\frac{1}{5}(5)(x +6)(x-3) -   \frac{5}{x + 6}(5)(x +6)(x-3)

= (x+6)(x-3) - (5)(5)(x-3)

= (x+6)(x-3) - 25(x-3)

= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3

= (x -3)(x - 19)

Denominator:

\frac{25}{x - 3} * (5)(x + 6)(x - 3) = (25)(5)(x + 6) = 125(x + 6)


Now we put the pieces together.


Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)

5 0
3 years ago
Can someone plz help me with this and i need the drawing to show work
Burka [1]

Answer:

20.833 feet

Step-by-step explanation:

The light reflects off the mirror at the same angle that it hits it at.  So the triangle formed by the beam and mirror is similar to the triangle formed by Kevin and the mirror.

Therefore, we can write and solve a proportion.

h / 10 = 6.25 / 3

h = 20.833

The beam is 20.833 feet tall.

4 0
3 years ago
the recipe for pumpking pie instructs you to bake the pie at 425∘F, for 15 minutes and then reduce the oven temperature to 350∘F
lakkis [162]

Answer:

ΔT = -75°F

Step-by-step explanation:

ΔT = T₁ - T₀ = 350 - 425 = -75°F

4 0
3 years ago
Which equation gives the number of 1/4 centimeter that are in 7/8 centimeter?
lesya692 [45]
The answer is B.

remember to use the reciprocal when dividing with fractions
5 0
3 years ago
Read 2 more answers
Other questions:
  • Multiply the hours of labor by $50 , then add $35 If C equals cost in dollars and h equals hours of labor , which equation expre
    10·1 answer
  • Variable y varies directly with variable x, and y = 6 when x = 4.
    9·1 answer
  • Can you help me on this algebra 2 question?
    14·1 answer
  • At work Keith spends one-fifth it his time in planning and buying merchandise. He spends seven-twelfths of his time in customer
    5·1 answer
  • Factor the expression using GCF
    14·1 answer
  • Revolve the figure shown about the y-axis completely to sweep out a solid of revolution.
    14·2 answers
  • On a family vacation, Amy's dad drove the car at a constant speed and traveled 585 miles in 13 hours. At this rate, how long wou
    8·1 answer
  • Which transformation were applied to the graph of the parent function y=tan(x) to produce the function graphed below?
    15·1 answer
  • Fred loves watermelon and buys 6 of them at the grocery store. If he gives friends 1 1/2 of a watermelon each, how many friends
    8·1 answer
  • Can hellp me with this plzzzzzzz no links plz
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!