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Wewaii [24]
3 years ago
12

Kyle bought some $12 shirts. Sally bought some $15 shirts. They each spent less than $200, but they both spent the same amount.

Mathematics
1 answer:
stira [4]3 years ago
8 0

Answer:

sorry dont know answer.....

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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
Need help with 16-20
Marta_Voda [28]

16. 7

17. 250

18. 19.5

19. 45.09

20. 11.8

6 0
3 years ago
The radius of a circle is 2 millimeters. What is the circle's area?
mote1985 [20]

Answer:

12.56 mm²

Step-by-step explanation:

A=\pi r^{2}

Plug the given values into the area equation

A=3.14*2^{2}\\A=3.14*4\\A=12.56

Therefore, the area of the circle is 12.56 mm².

I hope this helps!

6 0
3 years ago
21. In the figure given below, AC is parallel to DE. Find the valuesof xy and z and hence find the 2DBE.
algol13

Answer:

X= 50°

Y= 70°

Z= 30°

BDE= 30°

2BDE= 60°

Step-by-step explanation:

(2x -70 )+z+(2x+20)=180...(sum of angle on a straight line)

2x -70 = BDE... alternate angles

Y + (2x-70)+(50+x-20) = 180...(sum of angles in a triangle)

X-20 = z ... alternate and opposite angles

(2x -70 )+z+(2x-+20)=180

2x-70 + x-20 +2x +20= 180

5x -70= 180

5x = 250

X= 50°

X-20 = z

50-20= z

30° = z

2x -70 = BDE

2(50) -70 = BDE

100-70 = BDE

30°= BDE

Y + (2x-70)+(50+x-20)

Y + 100-70 +50 +50 -20 = 180

Y + 200-90=180

Y= 70°

2BDE = 2*30

2BDE= 60°

8 0
2 years ago
Melanie has a bag that contains orange chews, cherry chews, and peach chews. She performs an experiment. Melanie randomly remove
adoni [48]

Answer:

0.30

Step-by-step explanation:

Given that:

Total number of trials = 61

Number of orange chews = 38

Number of cherry chews = 5

Number of peach chews = 18

Probability that next chew removed will be a peach chew ;

This is an experimental probability problem ;

Using the relation :

Experimental probability of A;

Number of successes (A) / total number of trials

Hence, Probability that next chew removed will be a peach chew ;

Experimental probability of peach chew :

Number of trails = 61 ; number of successes (peach chew) = 18

P(peach chew) = 18 / 61

P( peach chew) = 0.2950819

= 0.30 ( nearest hundredth)

4 0
2 years ago
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