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iren2701 [21]
3 years ago
9

Solve for x: x/-6 ≥ -20?

Mathematics
2 answers:
34kurt3 years ago
5 0

Answer: x ≤ 120

Step-by-step explanation: To get <em>x</em> by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6, just like we would if we were solving an equation, but here is the trick you have to watch out for with inequalities.

When you multiply or divide both sides of an inequality by a

negative, you <u>must</u> switch the direction of the inequality sign.

So our second step in this problem reads x ≤ 120.

<u>Please give this idea your full attention.</u>

<em>Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.</em>

zhannawk [14.2K]3 years ago
3 0

Answer:

x ≤ 120

I hope this helps!

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Need help
Mice21 [21]

Answer:

B. is greater than

Step-by-step explanation:

As the graph of function f(x) is a parabola, so that the equation of function f(x) is: f(x) = ax^{2} +bx+c

As it can be seen in thee figure, the graph of function f(x) cross points (0;8) ;(-2; 0) and (4;0)

=> f(0) = 8; f(-2) = 0; f(4) = 0

We have:

  • f(x=0) = a x 0 + b x 0 + c = 8  => c = 8
  • f (x=-2) = a(-2)^{2} -2b+c = 4a -2b + 8 = 0
  • f (x=4) = a(4)^{2} +4b +c = 16a + 4b + 8 = 0

We have:

+) 4a -2b + 8 = 0 => 2 x (4a -2b + 8) = 8a - 4b + 16 = 0 (1)

+) 16a + 4b + 8 = 0 (2)

We take (2) minus (1)

=> (16a + 4b + 8) - (8a - 4b + 16) = 0

=> 8a - 8 = 0 => a = 1

Replace a = 1 into (1)

=> 8 x 1 - 4b + 16 = 0 => b = 6

So that:  f(x) = x^{2} + 6x +8

f (2) = 2^2 + 6 x 2 + 8 = 24

g (2) = 3 -2 + 2 = 3

<em>=> f(2) is greater than g(2)</em>

5 0
3 years ago
If f(x)=√2x+3/6x-5, then f(-1/2)=
denis23 [38]

answere=-1

this is the answere and the explanation.

8 0
3 years ago
Given the following linear functions determine the relationship
fgiga [73]

Answer: perpendicular

Step-by-step explanation:

Lines with opposite and negated slopes are perpendicular, you can use desmos to graph and check

6 0
4 years ago
Read 2 more answers
Triangle ABC is an isosceles triangle in which side
Shkiper50 [21]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that triangle ABC is an isosceles triangle.

From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using this formula, we get

AB=\sqrt{(2-(-2))^2+(-1-(-4))^2}=\sqrt{16+9}=5

BC=\sqrt{(3-2)^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}

AC=\sqrt{(3-(-2))^2+(-4-(-4))^2}=\sqrt{25}=5

Now,

Perimeter of triangle ABC = AB + BC + AC

                        =5+\sqrt{10}+5

                        =10+\sqrt{10}

So, perimeter of triangle ABC is 10+\sqrt{10} units.

Therefore, the correct option is B.

4 0
3 years ago
Read 2 more answers
Determine if the numerical value describes a population parameter or a sample statistic. The average price of a car at the new c
Travka [436]

Answer:

Population parameter

Step-by-step explanation:

Since the average price of a whole town at a new dealership is described. A random sample from a town was not isolated for study. In fact the entire statistics of the town was considered in the mean price of a car. Hence, the average price given in our case will be a population parameter.

7 0
3 years ago
Read 2 more answers
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