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Aliun [14]
3 years ago
14

Lyla is planning on riding his bike no more than 65 miles during the week. She has already ridden 17 miles. Write and solve an i

nequality to find how many more miles she can ride. Then interpret the solution.
Mathematics
1 answer:
lawyer [7]3 years ago
3 0

Answer:

17 + m ≤ 65

Step-by-step explanation:

Maximum distance = 65 miles

Number of miles already ridden = 17

Expression to represent how many more miles, 'm' she can ride ;

Number of miles already ridden + m ≤ maximum distance

17 + m ≤ 65

m ≤ 65 - 17

m ≤ 48

The amount of additional miles Lyla can ride is at most 48 miles

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What are the zeros of x^2-5x-1
nexus9112 [7]
The zeros is another name for solutions.

x^2 - 5x - 1 = 0

You must use the quadratic formula to find x.

In the formula, a = 1, b = -5 and c = -1.

Plug into formula and solve for x.

The values of x are the zeros of the function.
3 0
3 years ago
Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin
MAXImum [283]

Answer:

x \approx 2.278863

Step-by-step explanation:

Required

The positive root of 3\sin(x) = x

Equate to 0

0 = x -3\sin(x)

So, we have our function to be:

h(x) = x -3\sin(x)

Differentiate the above function:

h'(x) = 1 -3\cos(x)

Using Newton's method of approximation, we have:

x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}

Plot the graph of h(x) = x -3\sin(x) to get x_1 --- see attachment for graph

From the attached graph, the first value of x is at 2.2; so:

x_1 = 2.2

So, we have:

x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}

x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}

x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641

The process will be repeated until the digit in the 6th decimal place remains unchanged

x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654

x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627

x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627

Hence:

x \approx 2.278863

4 0
3 years ago
Jack and Jill collect coins. Jack has 56 coins, and Jill has 80 coins. Both recently joined a coin-collecting club. Jack's club
Free_Kalibri [48]

Answer:

So, after 6 months, they both have the same number of coins.  

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80  - 56

4 m = 24

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So, after 6 months, they both have the same number of coins.  

7 0
3 years ago
Find the least number by which the following number must be multiplied so that the product are perfect cube one number 72 to num
stiks02 [169]

Answer:

Well this question is actually a piece of cake. Just pick your favorite number. Multiply it by 10. Then do whatever operation you want with the 2,300. For the exponent part of this. Lets say we do it this way y times z equals 2,300. Exponents are letters used in mathematical terms. So any letter can be used to represent any number.

Step-by-step explanation:

6 0
3 years ago
What is 8.57 in fraction or mixed number as a decimal
aivan3 [116]
To write 8.57 as a fraction you have to write 8.57 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
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And finally we have: 
8.57 as a fraction equals 857/100

8 0
3 years ago
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