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yarga [219]
2 years ago
14

Check all the statements that are true:

Mathematics
1 answer:
sattari [20]2 years ago
7 0

Answer:

The true among them are: B, C, E and F

Step-by-step explanation:

A is not true.

f(x) = x^x grows at of an order bigger than e^x

in fact f(x) = 4^x grows faster than e^x

B Is true... if p is growing more slowly than q then |x^p| < M|x^q| for all x> x0

C is true

D is not true.

f = O(h) and g = O(h)

fg = O(h^2)

E. Is true

F is true if |f(x) < M |g(x)| then |10 f(x)| < 10M |g(x)| and 10 M is a positive

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Which number is located between 1.2 and 1.4 on the number line
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Answer:1.3

Step-by-step explanation:

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Isoke is solving the quadratic equation by completing the square.10x2 + 40x – 13 = 0 10x2 + 40x = 13 A(x2 + 4x) = 13What is the
Elina [12.6K]

we have

10x^{2} + 40x - 13 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

10x^{2} + 40x =13

Factor the leading coefficient

10(x^{2} + 4x) =13 ----------> the value of A is 10

Complete the square. Remember to balance the equation by adding the same constants to each side

10(x^{2} + 4x+4) =13+40

10(x^{2} + 4x+4) =53

Rewrite as perfect squares

10(x+2)^{2} =53

10(x+2)^{2} =53  \\ (x+2)^{2} =\frac{53}{10} \\ \\ x+2=(+/-)\sqrt{\frac{53}{10}}  \\ \\ x1=-2+\sqrt{\frac{53}{10}}\\ \\ x2=-2-\sqrt{\frac{53}{10}}

therefore

the answer is

the value of A is 10

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2 years ago
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CRITICAL THINKING A local zoo employs 36 people to take care of the animals each day. At most, 24 of the employees work full tim
k0ka [10]

We assume all employees are either full-time or part-time.

36 = 24 + 12

If the number of full-time employees is 24 or less, the number of part-time employees must be 12 or more. (Thinking, based on knowledge of sums.)

_____

You can write the inequality in two stages.

  1. First, write and solve an equation for the number of full-time employees in terms of the number of part-time employees.
  2. Then apply the given constraint on full-time employees. This gives an inequality you can solve for the number of part-time employees.

Let f and p represent the numbers of full-time and part-time employees, respectively.

... f + p = 36 . . . . . . given

... f = 36 - p . . . . . . . subtract p. This is our expression for f in terms of p.

... f ≤ 24 . . . . . . . . . given

... (36 -p) ≤ 24 . . . . substitute for f. Here's your inequality in p.

... 36 - 24 ≤ p . . . . add p-24

... p ≥ 12 . . . . . . . . the solution to the inequality

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2 years ago
Sam put $2,000 in a savings account at his bank. After 10 years, his account balance was $4,000. The interest rate on the saving
kkurt [141]

rule of 70:

 number of years for savings to double = 70/ interest rate

account doubles in 10 years

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Aaron, Blaine, and Cruz are solving the equation 4 7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the e
hjlf

Answer:

D. All three chose a valid first step toward solving the equation.

Step-by-step explanation:

Aaron, Blaine, and Cruz are solving the equation 4/7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the equation by 7/4 . Blaine started by using the distributive property to multiply 4/7 by both 7 and −n. Cruz started by dividing both sides of the equation by 4/7 .

Which of the following is true?

A. Blaine and Cruz made an error in picking their first steps.

B. Cruz made an error in picking his first step.

C. All three made an error because the right side equals -1.

D. All three chose a valid first step toward solving the equation.

Given:

4/7(7 - n) = -1

Aaron:

4/7(7 - n) = -1

Multiple both sides by 7/4

4/7(7 - n) * 7/4 = -1 * 7/4

7 - n = -7/4

- n = -7/4 - 7

- n = (-7-28)/4

- n = -35/4

n = 35/4

Blaine:

4/7(7 - n) = -1

4/7(7 - n) × 7 = -1 × 7

4(7 - n) = -7

28 - 4n = -7

-4n = -7 - 28

- 4n = - 35

n = -35/-4

n = 35/4

Cruz:

4/7(7 - n) = -1

Divide both sides by 4/7

4/7(7 - n) ÷ 4/7 = -1 ÷ 4/7

4/7(7 - n) × 7/4 = -1 × 7/4

7 - n = -7/4

- n = (-7-28)/4

- n = -35/4

n = 35/4

D. All three chose a valid first step toward solving the equation.

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2 years ago
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