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Veseljchak [2.6K]
3 years ago
5

PLEASE HELP ME SOLVE this

Mathematics
1 answer:
Alisiya [41]3 years ago
3 0

Answer:

y=-12/11

Step-by-step explanation:

y-(-12/11)=0(x-(-12/13))

y+12/11=0(x+12/13)

y+12/11=0

y=-12/11

Since the slope equals 0, then the line is horizontal.

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What is the range of the function f(x) = 3x2 + 6x - 8?
V125BC [204]

Answer:

  {y | y ≥ -11 }

Step-by-step explanation:

To answer a question like this, it is often helpful to graph the function or to rewrite it to vertex form.

  f(x) = 3x^2 +6x -8

  f(x) = 3(x^2 +2x) -8 . . . . factor the leading coefficient from x terms

  f(x) = 3(x^2 +2x +1) -8 -3(1) . . . . complete the square*

  f(x) = 3(x +1)^2 -11

The form of this equation tells you that the graph is a parabola that opens upward. Its vertex is (-1, -11), so the minimum value is -11. The range is the vertical extent of the function values, so goes upward from -11:

  y ≥ -11

_____

* Vertex form is ...

  f(x) = a(x -h)^2 +k

where "a" is the vertical scale factor and (h, k) is the vertex. When "a" is positive, the parabola opens upward; when it is negative, the parabola opens downward.

The square is completed by adding the square of half the x-coefficient inside parentheses, and subtracting the equivalent amount outside parentheses. Here, we had 2x inside parentheses, so we added (2/2)^2 = 1 inside and -3(1) outside, because "a" was 3.

_____

Brainly provides tools for properly rendering math symbols. 2-11 is not the same as ≥-11.

7 0
3 years ago
What should you pay attention to when using credit?
Oxana [17]

Answer:

All of the Above.

Step-by-step explanation:

Monthly Payments is similar to length of time. Interest rate is the amount you pay back on a monthly scale.

4 0
2 years ago
Read 2 more answers
Simplify <br><br>x - ( - 6 x )​
ser-zykov [4K]

Answer:

7x

Step-by-step explanation:

6 0
2 years ago
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Use the law of cosines to solve for the measure of the largest angle in triangle ABC.
marta [7]
AB is the longest side, so ∠C is the largest angle.
use law of cosine: 16²=9²+12²-2*9*12cosC
216cosC=81+144-256=-31
cosC=-0.14352
C≈98
6 0
3 years ago
Read 2 more answers
The velocity of a car over five hours is given by v(t)=60ln(t+1),0≤t≤5 in kilometers per hour. What is the total distance travel
algol [13]

Step-by-step explanation:

as the velocity is not constant over time, we actually have to integrate v(t) over the interval 0<=t<=5 to get the distance.

v(t) = 60×ln(t + 1)

V(t) = 60 × integral(ln(t + 1)) between 0 and 5.

integral(ln(t + 1)) = (t + 1)ln(t + 1) - t + C

V(t) = 60 × ((t + 1)ln(t + 1) - t + C)

the distance traveled between t = 0 and t = 5 is then

60 × ((5 + 1)ln(5 + 1) - 5 + C) - 60 × ((0 + 1)ln(0 + 1) - 0 + C) =

= 60×(6ln(6) - 5 + C) - 60×(1ln(1) + C) =

= 60×(5.750556815... + C) - 60×C =

= 60×5.750556815... = 345.0334089... ≈ 345 km

7 0
2 years ago
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