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grigory [225]
3 years ago
5

If the equation y = 1 3 x + 2 is changed to y = 3x + 2, what will be true about the graph of the equation? A) The graph will shi

ft up 3 units. B) The graph will shift down 3 units. C) The graph will shift left 3 units. D) The slope of the graph will be changed.
Mathematics
1 answer:
MrRa [10]3 years ago
4 0

Answer:

D.

Step-by-step explanation:

The number which multiplies x  is the slope of the graph so 13x becoming  3x means the slope of the graph will change.

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Calculus help! Using the mean value theorem!
marta [7]
f is differentiable across its domain, so the MVT says there is some value of c in the open interval (a,b) such that

f'(c)=\dfrac{f(b)-f(a)}{b-a}

You have

f(x)=Ax^2+Bx+C\implies f'(x)=2Ax+B

so the equation above becomes

2Ac+B=\dfrac{(Ab^2+Bb+C)-(Aa^2+Ba+C)}{b-a}

Solve for c.

2Ac+B=\dfrac{A(b^2-a^2)+B(b-a)}{b-a}
2Ac+B=A(b+a)+B
2Ac=A(b+a)
c=\dfrac{b+a}2

so c is indeed the average of the endpoints, i.e. the midpoint.
8 0
3 years ago
Two statements are given-one labeled Assertion (A) and the other labeled Reason(R). Select the correct answer to these questions
pentagon [3]

Answer:  i) Both A and R are true and R is the correct explanation of the assertion

Step-by-step explanation:

When Calcium Oxide (Quick lime) reacts with water, it is a very rigorous reaction that produces a lot of heat and may even boil the water or burn the skin if it comes into contact with it. The resulting compound is Calcium Hydroxide. The Assertion is therefore true.

A Combination reaction does indeed result in only a single product being created or formed after a reaction. The above reaction is indeed a Combination reaction due to the production of only one Compound being Calcium Hydroxide.

6 0
3 years ago
Solve the inequality<br> 7x&lt;5x-8
Aleksandr [31]
Minust 5x both sides
7x-5x<5x-5x-8
2x<-8
divide by 2 both sides
x<-4
6 0
3 years ago
2(x+2) - 3(x-3)=x+7​
babunello [35]

Step-by-step explanation:

Let's solve your equation step-by-step.

2(x+2)−3(x−3)=x+7

Step 1: Simplify both sides of the equation.

2(x+2)−3(x−3)=x+7

(2)(x)+(2)(2)+(−3)(x)+(−3)(−3)=x+7(Distribute)

2x+4+−3x+9=x+7

(2x+−3x)+(4+9)=x+7(Combine Like Terms)

−x+13=x+7

−x+13=x+7

Step 2: Subtract x from both sides.

−x+13−x=x+7−x

−2x+13=7

Step 3: Subtract 13 from both sides.

−2x+13−13=7−13

−2x=−6

Step 4: Divide both sides by -2.

−2x

−2

=

−6

−2

x=3

Answer:

x=3

8 0
2 years ago
The sketch shows the distance three runners travel during a race. Describe what occurs at times A,B,C and D. In what order do th
goldfiish [28.3K]

Answer:

Notice that the distance is in the y-axis, and the time in the x-axis.

First, let's see what happens in the four points:

A) You can see that in point A, the steepness of the line increases, this means that the speed of the runner increases in that point.

B) In this point, the runner that increased his/her speed in point A crosses the graph of another runner, this means that they are at the same distance to the end and at the same time.

C) In this point again two runners are at the same distance and the same time, and we also can see that the runer that increased his/her speed at point A, now has reached the end of the race (because his line stops increasing, wich means that he/she already finished the race)

D) The las runner finishes the race at point D.

Then the first runner that finishes the race is the one with the shorter graph (shorter graph means that he ran for less time than the others, wich means that he/she finished first)

The last runner is the one that finished at point D,

The middle one finishes right after the point C.

6 0
3 years ago
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