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vodka [1.7K]
3 years ago
14

The product of 3x and (3x+1) is a t least 35

Mathematics
1 answer:
Leokris [45]3 years ago
6 0
Product means the sum of two things i.e. the product of 1 and 2 is 3 <span>(1 + 2 = 3)

So the product of 3x and (3x+1) can be written as:
35 < 3x + 3x + 1
^ Greater than 35 i.e. at least 35
35 < 6x + 1
34 < 6x
34/6 < x
17/3 < x
5.67 (2dp) < x

</span>
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Need help use screenshot(SAT Prep) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD. bd equals?
Lilit [14]

Answer:

5.36

Step-by-step explanation:

Given that:

<BAD = <CAE, therefore, BD = EC

Let's take x to be the length of BD = EC

BD + DE + EC = BC

BC = 20,

BD = EC = x

DE ≈ 9.28

Thus,

x + 9.28 + x = 20

x + x + 9.28 = 20

2x + 9.28 = 20

Subtract 9.28 from both sides

2x + 9.28 - 9.28 = 20 - 9.28

2x = 10.72

Divided both sides by 2 to solve for x

\frac{2x}{2} = \frac{10.72}{2}

x = \frac{10.72}{2}

x = 5.36

BD ≈ 5.36

4 0
3 years ago
Philip is conducting a survey to determine the weight of 100 cows on a farm. Which of the following questions is an appropriate
liubo4ka [24]
Because Philip is conducting a survey that pertains to the weight of the cows, he needs statistics that directly relate to weight.

The cows being overweight doesn't give Philip concrete information on the weight of the cows, as it doesn't give the amount of pounds a cow weighs. Average age has nothing to do with weight, and normal body weight doesn't give concrete information on weight.

The answer is "<span>What is the weight of each cow on the farm?".</span>
5 0
3 years ago
Read 2 more answers
What decimal is equal to 32%?
AlexFokin [52]
That decimal would be: 32% = 0.32

So, your answer is 0.32

Hope it helped.
5 0
3 years ago
Read 2 more answers
Solve the following logarithmic equations.<br> log[(x^2 + 2x − 3)^4] = 0
saw5 [17]

Answer:

The solutions are x = 1.24 and x = -3.24

Step-by-step explanation:

Hi there!

First, let´s write the equation:

log[(x² + 2x -3)⁴] = 0

Apply the logarithm property: log(xᵃ) = a log(x)

4 log[(x² + 2x -3)⁴] = 0

Divide by 4 both sides

log(x² + 2x -3) = 0

if log(x² + 2x -3) = 0, then  x² + 2x -3 = 1 because only log 1 = 0

x² + 2x -3 = 1

Subtract 1 at both sides of the equation

x² + 2x -4 = 0

Using the quadratic formula let´s solve this quadratic equation:

a = 1

b = 2

c = -4

x = [-b± √(b² - 4ac)]/2a

x =  [-2 + √(4 - 4(-4)·1)]/2 = 1.24

and

x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24

The solutions are x = 1.24 and x = -3.24

Have a nice day!

4 0
3 years ago
A triangular sail has two sides the same length. The third side is 9ft shorter than either of the equal sides. The perimeter of
jeka94
a-length\ one\ of\ the\ same\ sides\\\\a-9-length\ of\ third\ side\\\\a+a+a-9=63\ \ \ \ \ \ |add\ 9\\a+a+a=63+9\\3a=72\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |divide\ by\ 3\\a=24\\\\a-9=24-9=15\\\\The\ shortest\ side\ is\ 15.
4 0
3 years ago
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