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3 years ago

Write the number in standard form as a decimal

Mathematics

1 answer:

pishuonlain [190]3 years ago

5 0

Answer:

Step-by-step explanation:

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Which expression is a factor of 10x^2+11x+3

Effectus [21]

Answer:

(2x + 1) (5x + 3) hope it helps

5 0

3 years ago

An airline claims that 90% of the time, its planes are on schedule. If three flights are selected at random, what is the probabi

serg [7]

1. Check the tree diagram in the picture attached.

2. The blue segment represents "on time"
The red segment represents "not on time"

3. blue - blue - red represents the case 1st on time, 2nd on time, 3rd not on time.

the combined probability is 90/100*90/100*10/100=9/10*9/10*1/10=99/1000=0.099

4. Remark with a tree diagram we can tell anything asked about the probability of an experiment.

8 0

3 years ago

Leila stopped at the coffee shop on her way to work. She ordered 4 bagels, 2 yogurts, and 2 orange juice. Bagels were $0.69 each

ASHA 777 [7]

Answer:

the total cost is $9.24

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The change in water vapor in a cloud is modeled by a polynomial function, C(x). C(x) = x^3+ 5x^2+3x+30 Describe how to find the

kari74 [83]

Answer:

Suppose the equation that describes the change in water vapor in a cloud (y) with respect to temperature (x): C(x) = x³ - 4x² - 7x + 10

You find the x-intercepts of the cubic equation by finding the roots. Let y be zero:

x³ - 4x² - 7x + 10 = 0

Now, find possible factors of the constant term in the equation: 10. These could be 1, 2, 5, and 10. Suppose we choose 1. We substitute x=1. If the answer is zero, then x=1 is one of the roots.

(1)³ - 4(1)² - 7(1) + 10 = 0

Hence, x=1 or x-1 = 0 is one of the roots. We use this to manipulate the rest of the terms in the original equation, such that you can factor out (x-1). Substitute -x² - 3x² to -4x³ because they are just equal. Same is true for +3x - 10x for -7x:

x³ -x² - 3x²+3x - 10x + 10 = 0

Factor out like terms such that they have a common factor of (x-1) as much as possible.

x³ -x² = x²(x-1)

- 3x²+3x = -3x(x-1)

- 10x + 10 = -10(x-1)

The factored equation is:

x²(x-1)-3x(x-1)-10(x-1) = 0

Factor out (x-1):

(x-1)(x²-3x-10) = 0

Now, we have the quadratic equation left to be solved:x²-3x-10

Use the quadratic formula to find the roots:

x = [-b +/- √(b²-4ac)]/2a,

The a, b and c coefficients are based on the general form of the quadratic equation: ax² + bx + c. Hence, a=1, b=-3 and c=-10. Substituting the values:

x = [-(-3) +/- √((-3)²-4(1)(-10))]/2(1)

x = 5, -2

Therefore, the roots of the cubic equations are x = 1, x = 5 and x =- 2. These are the x-intercepts of the equation. At temperatures °C, 5°C and -2°C, there is no change in water vapor in a cloud. The graph is shown in the attached picture

Step-by-step explanation:

7 0

3 years ago

PLEASE ANSWER AS SOON AS POSSIBLE!

Tcecarenko [31]

The y- intercept has to be a point in the line where x is 0. Which means that in this case it would be -4.
To find the slope, use the formula: rise over run —> y2 - y1/x2 - x1
Choose any two coordinates and plug them in. Then simplify. Let me know if you have any questions by commenting:)
Hope I helped:)

6 0

3 years ago