Reasonableness use the clues to solve the riddle. I am between 24 and 34. you say my name when you count by twos from zero. You say my name when you count by fives from zero. What number am I?
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If the function h(x) represents the number of full hours that it takes a person to assemble x sets of tires in a factory, which would be an appropriate domain for the function?1) the set of real numbers2) the set of negative integers3) the set of integers4) the set of non-negative integersWhy?
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Y=t+a/t-bexpress t in terms of a, b and y.t-b
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4x2 + 28x + 49 = 0
(x+) =
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Answer: x = - 3.5
Step-by-step explanation:
Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
Completing the square method :
Divide through by the Coefficient of x^2
x^2 + 7x + (49/4) = 0
a = 1, b = 7, c = 49/4
Move c to the right side of the equation
x^2 + 7x = - 49/4
Complete the square on the left hand side by squaring its half of the x term
(7/2)^2 = (49/4)
Add the output to both sides of the equation
x^2 + 7x + (49/4) = - (49/4) + (49/4)
(x + 7/2)^2 = 0
Square root of both sides
x + 7/2 = 0
x = - 7/2
x = - 3.5
Answer:
x = - 3.5
Step-by-step explanation:
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The height of the triangle is 2 kilometer.
A triangle is a 3-sided polygon. The sum of the angles in a triangle add up to 180 degrees. The sides of a triangle are the length, base and the hypotenuse.
The area of a triangle = × base × height
Let:
t represent the height of the triangle.
Base = 2 x t = 2t
Area = 4
4 = × 2t x t
Multiply both sides of the equation by 2
8 = 2t²
Divide both sides by 2
4 = t²
Find the square root of both sides of the equation
t = 2 kilometer.
To learn more, please check: brainly.com/question/24865193?referrer=searchResults
Base = 2x
Area of triangle = (1/2)*base*height
Area = (1/2)*2x*x = 4
x² = 4
x = √4
x = 2
Height = 2 km.
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Let the distance be x miles
Time = Distance / speed
Time taken by Mike to go to his friend's house = x / 40 hours
Time taken by him to return = x / 45 hours
Total time = x / 40 + x / 45 = 4 hours
= 9x + 8x = 1440 miles
17x = 1440
= x = 1440 ÷ 7
= x = 84.706
Time taken to return home = 84.706 /45= 1.882 hours .
Therefore , Mike took1.882hoursto reach home .
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Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 35: 1, 5, 7, 35
Out of those factors, we can see that 1 and 7 are the common factors, but 7 is the greatest which makes it our GCF.
Now we can divide the numerator and the denominator by the GCF to receive our simplest form.
28 ÷ 7 = 4
35 ÷ 7 = 5
Rewrite the fraction with the new numerator (4) and the new denominator (5).
The simplest form is: 4/5 or 0.8.
How to solve equation x/3-4=10?
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2x / 5 + 1 = 7
2x + 5 = 5 * 7
2x = 35 - 5
2x = 30
x = 15
If you would like to solve the equation x/3 - 4 = 10, you can do this using the following steps:
x/3 - 4 = 10
x/3 = 10 + 4
x/3 = 14
x = 14 * 3 = 42