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Natali5045456 [20]
2 years ago
5

Explain how solving $2x<-8$ is different from solving $-2x<8$ .

Mathematics
1 answer:
miv72 [106K]2 years ago
6 0

Answer:

When we divide by a negative value, the sign for the inequality changes.

Step-by-step explanation:

2x < -8, to solve we would divide by 2 and receive x < -4. However, in solving -2x < 8, we would divide by negative 2, which would result in x > -4. Clearly, these sequences provide opposite answers and that is a rule to inequalities, that when dividing by a negative number, we must flip the less than/greater than sign.

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A(n) _____ is a line drawn from one part of a circle's circumference to another without passing through the center.
Artemon [7]

Answer:

chord

Step-by-step explanation:

a chord is a line drawn from one part of a circle's circumference to another without passing through the centre.

If the line passed through the centre then it would be a diameter

7 0
2 years ago
How do you solve the problem for this equation? 3+5x=3
Mazyrski [523]

Answer:

x=0

Step-by-step explanation:

3+5(0)=3

4 0
3 years ago
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By law, a wheelchair service ramp may be inclined no more than . If the base of a ramp begins 15 feet from the base of a public
choli [55]

Answer:

The equation that can be used to determine the maximum height is given as h = 15tan4.76°

Step-by-step explanation:

The question given is lacking an information. Here is the correct question.

"By law, a wheelchair service ramp may be inclined no more than 4.76 degrees. If the base of the ramp begins 15 feet from the base of a public building, which equation could be used to determine the maximum height, h, of the ramp where it reaches the building's entrance"

The whole set up will give us a right angled triangle with the base of the building serving as the adjacent side of the triangle and the height h serving as the opposite side since it is facing the angle 4.76°

The side of the wheelchair service ramp is the hypotenuse.

Given theta = 4.76°

And the base of the building = adjacent = 15feet

We can get the height of the building using the trigonometry identity SOH CAH TOA.

Using TOA

Tan(theta) = opposite/Adjacent

Tan 4.76° = h/15

h = 15tan4.76°

The equation that can be used to determine the maximum height is given as h = 15tan4.76°

4 0
3 years ago
Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.
Rasek [7]

Answer: -3.

Step-by-step explanation:

We are given that : g(x)=kf(x)      (1)

It means that f(x) and g(x) are proportional.

[Equation of direct variation: y=kx , where k= proportionality constant.]

From the given graph ,

At x= -3 , f(x)=1 and g(x) =-3

Put value of x=-3 in (1) , we get

g(-3)=kf(-3)  

\Rightarrow\ -3=k(1)  [∵ f(x)=1 and g(x) =-3]

\Rightarrow\ -3=k

i.e. The value of k = -3

Hence, the correct answer is -3.

6 0
2 years ago
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andrezito [222]
The mean is 89. Add them all up and divide by 5

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