B is the midpoint of AC. Find AB.
7x-6
12-2x
A
B
С
2
8
O 16
4

Answer:

22 35

Step-by-step explanation:

Answer:

x2+6x+9=0

x^2+3x+3x+9=0

x(x+3)+3(x+3)=0

x=-3 twice

Answer:

The dimensions that result in the maximum area are therefore;

Width = 3.5

Height = 3.5

Step-by-step explanation:

The given parameters are;

The area of the rectangle, y = x × h

Where;

x = The width of the rectangle

h = The height of the rectangle

By examination, we have;

x + h = 7

Therefore, x = 7 - h

Which gives;

y = x × (x - 7) = x² - 7·x

y = x² - 7·x

At x = 0, y = 0

At x = 7, y = 0

However, at x = 1, y = -6

Therefore, the function should be, y = -(x² - 7·x)

The maximum occurs where dy/dx = 0, which gives;

dy/dx = d-(x² - 7·x)/dx = 0

dy/dx = 2·x - 7 = 0

2·x - 7 = 0

x = 7/2 = 3.5

On second derivative, we have;

d²y/dx² = 2, which gives a local minimum

x = 3.5 at maximum height

Which give, the maximum height, [tex]y_{max}[/tex] = -(x² - 7·x) at x = 3.5

∴ [tex]y_{max}[/tex] = -(3.5² - 7×3.5) = 12.25

The maximum height = 12.25

The dimensions that result in the maximum area are therefore;

Width, x = 3.5

Height, h = 7 - x = 7 - 3.5 = 3.5

Height, h = 3.5.

Answer:

Diego

Step-by-step explanation:

divide 132 minutes by 44 pages and you get 3 pages per minute, then divide 140 minutes by 35 pages and you will get 4 pages per minute. so Diego reads 1 more page a minute than lin. hope i helped you :)

Answer:

( J - 6 ) × (J + 6 )

Step-by-step explanation:

j^2 -6^2

( J - 6 ) × ( j + 6 )

Answer:

60% of the employees are men.

Then the 40% left must be women.

4 of them are selected.

a)  What is the random variable we can consider here?

A random variable is a variable that can have different outcomes or values, in other words, it is a stochastic variable.

We have a selection of 4 employees at random, then we can define the variable X, that represents (for each employee) the possibility of being man or woman.

b) Probability of 3 men and 1 woman.

Suppose that the selection is in the order:

man-man-man-woman.

We have:

0.6 tree times.

0.4 one time.

P = 0.6^3*0.4

But this is for the case where the woman is in the last selection, it can be in the first, second and third, then we have 4 permutations, the actual probability is:

P = 4*( 0.6^3*0.4) = 0.3456.

c) If now we have tat 75% are men, then 25% are women.

Now we can do the same as before, but now the probability for a man is 0.75 and for a woman is 0.25, then the previous equation is now:

P = 4*(0.75^3*0.25) = 0.421875

(a) The random variable will be "Men percentage".

(b) The probability of finding 3 men and one woman be "0.3456".

(c) The probability be "0.4219".

(a) A random variable represents a variable which might have several occurrences as well as quantities; it is indeed a stochastic quantity.

If we choose four workers at random, users may create the variable X, which reflects the potential of someone being a male or even a woman.

(b) The probability be:

→ P(3 men and women) = [tex]4C_3[/tex] (0.6)³ (1 - 0.6)¹

                                       = 0.3456

(c) The probability be:

→ P(3 men and women) = [tex]4C_3[/tex] (0.75)³ (1 - 0.75)¹

                                       = 0.4219

Thus the response above is correct.

Find out more information about probability here:

https://brainly.com/question/24756209

Answer:   C

Step-by-step explanation: 2 is the numerator so you are dividing 2 by the denominator which is 5. Equation 2/5. So you can cross out A and B because they start with 5 and we need one that starts with 2. Then you can't divide people so your answer would be C because everything can be divided correctly.

Answer:

answer =  ⁻3

Step-by-step explanation:

Answer:

f(x) = - [tex]\frac{1}{2}[/tex] x

Step-by-step explanation:

The standard form for a linear function is

f(x) = ax + b

Using the given values f(- 4) = 2 and f(6) = 3 , then

- 4a + b = 2 → (1)

6a + b = - 3 → (2)

Subtract (2) from (1) term by term to eliminate b

- 10a = 5 ( divide both sides by - 10 )

a = - [tex]\frac{1}{2}[/tex]

Substitute a = - [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for b

Substituting into (1)

2 + b = 2 ( subtract 2 from both sides )

b = 0

Thus the linear function is

f(x) = - [tex]\frac{1}{2}[/tex] x

The linear function is f(x) = -0.5x

For f(-4) = 2

x₁ = -4, y₁ = 2

For f(6) = -3

x₂ = 6, y₂ = -3

The slope(m) is found using the formula

m = (y₂ - y₁)/(x₂ - x₁)

m = (-3-2)/(6-(-4))

m = -5/10

m = -0.5

Substitute m = -0.5, x₁= -4, and y₁ = 2 into the equation below:

y - y₁ = m(x - x₁)

y - 2 = -0.5(x - (-4))

y - 2 = -0.5(x + 4)

y - 2 = -0.5x - 2

y = -0.5x - 2 + 2

y = -0.5x

Therefore, the linear function is f(x) = -0.5x

Learn more here: https://brainly.com/question/17003809

Answer:

3. <BAC = <BCA

so,

x+x+36° = 180°

=>2x + 36 = 180

=>2x = 180–36

=>2x = 144

=>x = 144/2

=>x = 72°

Answer:

Slope is -7/6. Y - intercept is -35/6

Step-by-step explanation:

Hope this helps!

Answer:

2/5  or 0.4

Step-by-step explanation:

This is simplified. For  the question 4/10 .

Answer: 13x -8y

Hey there!

To get started we need to figure out what the equation is by remembering the sum is addition.

6x-y + 7x-7y

Then we need to combine like terms

(6x+7x) (-7y-y)

to get...

13x-8y

Answer:

nope

+8 is greater than -8

Answer:

2,3 is the paired fraction

Step-by-step explanation:

Answer: 11664

I think

Answer:

11,664

Step-by-step explanation:

4^2 x 3^6

16 x 729

11,664

Answer:

7,√50,9,√85

Step-by-step explanation:

The square root of 50 is 7.071 if you round to the nearest thousandth. The square root of 85 is 9.220. From least to greatest is 7,√50,9,√85

Answer:

Step-by-step explanation:

The given statement is the scale factor:

  [tex]\dfrac{\text{scale distance}}{\text{actual distance}}=\dfrac{1\text{ cm}}{2\text{ m}}[/tex]

This can be rearranged to the formula ...

  [tex]\text{actual distance}=\text{(scale distance)}\dfrac{2\text{ m}}{1\text{ cm}}[/tex]

Filling in the given scale distances, you find the actual distances to be ...

  [tex]\textbf{(a) }(14\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=14\cdot2\text{ m}=28\text{ m}\\\\\textbf{(b) }(7.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=7.5\cdot2\text{ m}=15\text{ m}\\\\\textbf{(c) }(12.4\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=12.4\cdot2\text{ m}=24.8\text{ m}\\\\\textbf{(d) }(0.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=0.5\cdot2\text{ m}=1.0\text{ m}\\\\[/tex]

Answer:

28 m

15 m

24.8 m

1.0 m

Step-by-step explanation:

Answer:

Rock travels about 8.2x²meters higher on the moon than on the Earth.

Step-by-step explanation:

Expression showing the height of a rock thrown into the air at Earth is,

f(x) = -9.8x² + 10x + 1.5

Similarly, expression showing the height of rock thrown on the moon is,

g(x) = -1.6x² + 10x + 1.5

Difference in the height of the rock thrown on moon = g(x) - f(x)

= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)

= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5

= 8.2x²

Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.

Answer:

9

Step-by-step explanation:

65/13=5

45/5=9  The answer is 9

Answer:

y = x - 8

Step-by-step explanation:

In order to solve this, we need to use point-slope form.:

y - y1 = m(x - x1)

Substitute the numbers into the equation:

y - (-8) = 1(x - 0)

y + 8 = x

y = x - 8

Answer:

uhm

Step-by-step explanation:

Answer:

The answer is~ no solution

Step-by-step explanation:

its no solution because

3x−3(x+1)=3

Step 1: Simplify both sides of the equation.

3x−3(x+1)=3

3x+(−3)(x)+(−3)(1)=3(Distribute)

3x+−3x+−3=3

(3x+−3x)+(−3)=3(Combine Like Terms)

−3=3

−3=3

Step 2: Add 3 to both sides.

−3+3=3+3

0=6

Answer:

There are no solutions.

Answer:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6

Step-by-step explanation:

The terms have a common difference d between consecutive terms, that is

10 - 4 = 16 - 10 = 22 - 16 = 6

To obtain the next term add 6 to the previous term ( recursive rule ), thus

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6 with a₁ = 4

x=17

See attached picture

Answer:

she wrote: (3,1) (6,1) (6,4)

1 step one R (X-axis) -->   step two R (180°,0) --> step three R (Y-axis)

(I honestly have no clue what she is doing but, its stupid)

Answer:

angle Y is 29 degrees

angle X is 120 degrees

Step-by-step explanation:

Well, if the triangle is an equilateral, then all the angles are equal to

60 degrees

that means the the angle at the top point is 60+31 = 91 degrees

the right point is 60 degrees

every triangle has 180 degrees total

180 - (91+60) = 29 degrees

NOW FORGET ABOUT THE EQUILATERAL FOR A BIT

180 = 31+x+29

simplify

180 = 60+x

subtract 60 from both sides

120 = x

Answer:

8

Step-by-step explanation:

Since there are two fractions, it is easiest to cross multiply the fractions before doing anything else. Basically:

10/15 = d/12  becomes 120 = 15d.

then you just divide 15 to both sides to get your answer:

d = 120/15, which is the equivalent of d = 8.

Answer:The answer is 1/x^12y

Step-by-step explanation: