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dusya [7]
3 years ago
8

PLZ HELP ME!! BRAINLIEST

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0
66.6 is the answer for this onel
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I need help with this
SIZIF [17.4K]

Answer:

pull out a calculater then replace x with the number 2 (-2)+5=

Step-by-step explanation:

2 (-2)+5=

2 (-1)+5=

2 (1)+5=

4 0
3 years ago
Let f(x)=a(2)^x. This exponential function is intersected twice by the line g(x)=x+b. One intersection is at point P(-2,2). Find
mr_godi [17]

Answer:

See below

Step-by-step explanation:

To find the values of a and b, we use the intersection point P.

Since the graph of f is intersected by P=(-2,2), f(-2)=2, that is, a(2)^(-2)=2. Then a=2(2)²=8.

Since the graph of g is intersected by P=(-2,2), g(-2)=2, that is, -2+b=2. Then b=2+2=4.

Hence a=8, b=4.

To find the other point of intersection Q, we need to find a number x such that f(x)=g(x), that is, 8(2)^(x)=x+4. Rewrite this equation as follows:

f(x)=8(2^x)=2^3(2^x)=2^{3+x}=g(x)=x+4

It is not easy to solve this equation analitically. Instead, you can apply a quantitative method. First, the left hand side is an exponential function, so it is always positive. Then the solution will be a number in which the right side (x+4) is positive, that is, x > -4. The solution is an integer, then the possible values are x=-3,-2,-1,0,1,2,...

Now, the RHS must be a power of two, so the possible integers are x=-3,-2,0,4,12,28,... However, the LHS grows very quickly, while the LHS grows slowly. Then, it is only necessary to test small integer values (we already know that x=-2 is a solution).

If we test with x=-1, we get 2²=4=3, then x=-1 is not a solution. Any x>-1 will not be a solution, because f increases much faster than g, and then they won't intersect. So our possibilities reduce to x=-3,-2. Taking x=-3, we get f(-3)=2⁰=1=-3+4=g(-3). Thus, (-3,0) is the other point of intersection Q. (r=-3, s=0).  

7 0
3 years ago
Write the expression as the sine, cosine, or tangent of an angle. cos 107° cos 42° + sin 107° sin 42°
7nadin3 [17]
Let a =107°   and b=42°;

So cos 107° cos 42° + sin 107° sin 42°  = cosa.cos42 + sina.sinb = cos(a-b)

and cos 107° cos 42° + sin 107° sin 42°  = cos(107-42) = cos(65°)
8 0
3 years ago
Read 2 more answers
Anyone can help me? please
postnew [5]
If it has a line on top of the last number then it is considered repeating.

therefore, the first two are repeating and the last two are non-repeating.

Hope that helps!
4 0
3 years ago
Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.
Hoochie [10]

Answer:

The correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles

Step-by-step explanation:

In triangle ABD:

∠B = ∠D

Thus AB=AC by the property of opposite sides of equal angles are equal

In triangle CBD

∠B = ∠D

Thus CB=CD  by the property of opposite sides of equal angles are equal

Thus all four sides of quadrilateral ABCD are equal  

And diagonal BD bisects the angles  

So, it is a rhombus

Therefore the correct option is  parallelogram ABCD is a rhombus, because the diagonal bisects two angles....

5 0
3 years ago
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