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3 years ago

Solve: |2x − 1| < 11. Express the solution in set-builder notation.

Mathematics

2 answers:

KiRa [710]3 years ago

7 0

Answer: B {x|-5< x <6}

Step-by-step explanation:

Its B on edg

Vedmedyk [2.9K]3 years ago

6 0

Answer:

Step-by-step explanation:

Sxpreme

2 years ago

its blank dumbass nigga

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One of two complementary angles measures 30 degrees more than three times the other. Find each angle.

Leviafan [203]

The two complementary angles are:

95° and 15°

Step-by-step explanation:

Let x be one angle

then the other angle will be 90-x

As the sum of complementary angles is 90

So,

then according to statement

$x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15$

The two complementary angles are:

95° and 15°

Keywords: Angles, triangles

Learn more about angles at:

#LearnwithBrainly

7 0

2 years ago

88 cubic feet per year express pint per day?

beks73 [17]

Answer:

14.4282 or 14.4 rounded

Step-by-step explanation:

6 0

2 years ago

Using binomial theorem, expand (x+6)^8 <br><br> edit: You could use the help of combinations too.

Pavlova-9 [17]

x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

<u>Explanation:</u>

We know

(x+y)ⁿ = ∑ ⁿCₐxⁿ⁻ᵃyᵃ

and ⁿCₐ = n! / ( a! ) . ( n-a )!

So,

(x+6)⁸ = ⁸C₀x⁸ + ⁸C₁(x)⁸⁻¹(6)¹ + ⁸C₂(x)⁸⁻²(6)² + ⁸C₃(x)⁸⁻³(6)³ + .......+ ⁸C₈(x)⁸⁻⁸(6)⁸

= ₓ⁸ + 8x⁷ₓ 6 + 28x⁶ₓ 36 + 56x⁵ₓ 216 + 70x⁴ₓ 1296 + 56x³ₓ 7776 + 28x²ₓ 46656 + 8x . 279936 + 1679616

= x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

Thus, the expansion of ( x+6)⁸ using binomial theorm is

x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

4 0

2 years ago

Use the equation below to identify the value fo each variable for the circle.

natita [175]

Answer:

The equation of the circle in standard form is: (x - 2)² + (y - 4)² = 9

Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

- If the center of the circle is point (h , v) and the radius of the

circle is r, then the standard form of the equation of the circle

is (x - h)² + (y - v)² = r²

- (x , y) a general point on the circle

* Lets look to the picture

- The center of the circle is point (2 , 4)

- The highest point on the circle is (2 , 7) and the lowest point

on the circle is (2 , 1)

∴ The diameter of the circle = 7 - 1 = 6

∵ The radius = 1/2 the diameter

∴ The radius of the circle = 1/2 × 6 = 3

* Now we can write the equation of the circle

∵ h = 2 and v = 4

∵ r = 3

∴ (x - 2)² + (y - 4)² = 3²

∴ The equation of the circle in standard form is:

(x - 2)² + (y - 4)² = 9

7 0

2 years ago

Kendra is a blind marathon runner training for the Junior

mezya [45]

Answer:

Slope = $\frac{1}{5}$

Equation of the line is $y=\frac{x}{5}$

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

Since the given line passes through two points (5, 1) and (10, 2),

Slope of the given line = $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$

m = $\frac{(2-1)}{(10-5)}$

m = $\frac{1}{5}$

Since the given line passes through (10, 2), equation of the line will be

y - y' = m(x - x')

$y - 2=\frac{1}{5}(x-10)$

$y=2+\frac{x}{5}-2$

$y=\frac{x}{5}$

Therefore, equation that can be used to find the distance y from the start after x minutes will be $y=\frac{x}{5}$

7 0

2 years ago