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grandymaker [24]
3 years ago
10

HELP ASAP PLEASE BRAINLEST ANSWER !!!

Mathematics
2 answers:
Step2247 [10]3 years ago
7 0
F(x) has exactly one intercept at the origin. g(x) is transformed from f(x) by flipping it (the minus sign at the x2) and then lifting it by 7 units. This means that the resulting mountain parabola will have two x-intercepts. Mathematically, a parabola has exactly one x-intercepts when its discriminant equals 0, it has 2 intercepts for D>0.

D= b^{2} -4ac

For g(x), a=-1, b=0 and c=7, so D=28, meaning 2 intercepts! 
vesna_86 [32]3 years ago
6 0

Answer:

The function started facing up with a vertex at (0,0) since 7 was added before squaring , the graph shifts 7 units up so the vertex at (7,0) also , the function is negative do the graph is pointing down.


This means that there are two x- intercepts in g(x) and there was one x- intercepts in f(x).

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Newton’s law of cooling states that the temperature of an object changes at a rate proportionalto the difference between the tem
Verizon [17]

Answer:

\frac{dT}{dt} = -0.05\;min^{-1}  (T-70\ºF)

Step-by-step explanation:

Hi!

Lets call:

T = temprature of the object

T₀ = temperature of surroundings

t = time

The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

\frac{dT}{dt} = -k(T-T_0) \\

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

\frac{dT}{dt} = -0.05\;min^{-1}  (T-70\ºF)

3 0
3 years ago
Solve: 3 ln x = ln 216
BaLLatris [955]

3\ln x=\ln 216\\ \ln x^3 =\ln 216\\ x^3=216\\ x=6

3 0
3 years ago
Read 2 more answers
Which methods could you use to calculate the y-coordinate of the midpoint of vertical line segment with endpoints at (0,0) and (
Hatshy [7]

Answer:

Midpoint formula.

The midpoint formula is (x_1+x_2)/2 , (y_1+y_2)/2

Step-by-step explanation:

This is one method. A list wasn't provided.

5 0
3 years ago
What is the diameter of a circle if its circumference is 10pie
stealth61 [152]

Answer:

diameter = 3.18

4 0
3 years ago
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Two boys searching for buried treasure are standing underneath the same tree. one boy walks 12 m east and then 12 m north. the o
mylen [45]
Let
 The origin of coordinates the tree
 r1 = vector position of the child 1.
 r2 = vector position of the child 2
 Child 1:
 r1 = (12i + 12j)
 Child 2:
 r2 = (-18i + 11j)
 The scalar product will be given by:
 r1.r2 = ((12) * (- 18)) + ((12) * (11)) = - 84
 The scalar product of their net displacements from the tree is -84m ^ 2
5 0
3 years ago
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