If a car is traveling at 60 mph and the driver suddenly hits the brakes, what would be the distance before the driver reaches a complete stop?

Answer:

Ok, here goes:  f(3) means take f(x) and plug in 3 wherever we see x.  So

f(3) = 12*39 + 3 = 236196 + 3

f(3) = 236199

Likewise, f(-3) means take f(x) and plug in (-3) wherever we see x.  So

f(-3) = 12*(-3)9 + (-3) = -236196 - 3

f(-3) = -236199

Putting those two things together, we get

f(3) + f(-3) = 236199 - 236199 = 0

Step-by-step explanation:

The distance between point C and the perpendicular bisector of AB is 2√3.

Given points A(9, 2), B(5,6), and C(-3,-2).

We need to find the distance between point C and the perpendicular bisector of AB.

We first need to find the midpoint of line segment AB using the midpoint formula:

Midpoint of AB

= [(x1 + x2)/2, (y1 + y2)/2]

= [(9+5)/2, (2+6)/2]

= [(14/2), (8/2)]

= (7, 4)

Now, we need to find the slope of the line AB:

Slope of AB= (y2 - y1) / (x2 - x1)

= (6-2) / (5-9)

= 4/-4

= -1

So, the slope of the perpendicular bisector to AB is 1 (negative reciprocal of -1).

Now we need to find the equation of the perpendicular bisector of AB, which passes through (7, 4) with a slope of 1.

Using point-slope form of the line: y - y1 = m(x - x1)y - 4

= 1(x - 7)y - 4

= x - 7y

= x - 3

Now we have the equation of the perpendicular bisector of AB.

Now we can find the distance between C and the line by finding the length of the perpendicular from C to the line.

To do this, we need to find the equation of the line that is perpendicular to the line we found, which passes through point C, and then find the point where the two lines intersect.

This new line has a slope of -1, since it is perpendicular to the line with slope 1.

Using point-slope form of the line:

y - y1 = m(x - x1)y - (-2)

= -1(x - (-3))y + 2

= -x - 3y

= -x - 5

Now we have the equation of the new line.

Now we can find the point of intersection of the two lines:

y = x - 3y

= -x - 5

Adding the two equations:

2y = -8y

= -4

The point of intersection is (-4, -4).

Now we can find the distance between C and (-4, -4) using the distance formula:

Distance between C and (-4, -4) = √(x2 - x1)2 + (y2 - y1)2

= √((-3 - (-4))2 + (-2 - (-4))2)

= √(12)

= 2√3

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Answer:

(-6,4)

Step-by-step explanation:

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer:

Butter per portion equals 60 cents .

Step-by-step explanation:

A pound of butter is worth $ 5.60.

5.60 dollars are converted to cents, 1 dollar equals 100 cents, then:

- One pound of butter equals 560 cents.

A portion of onion compote requires 1.7 oz of butter.

Convert 1.7 oz to pounds, so:

- 1.7 oz of butter equals 0.10625 pounds.

If a pound of butter is worth 560 cents, how much will 0.10625 pounds of butter be worth.

- Rule of 3 is used:

- 560 cents        1 pound butter

  X cents            0.10625 pounds of butters

X = 560 * 0.10625

X = 59.5 cents

X = 60 cents per portion

Answer:

17x + 44

Step-by-step explanation:

Start by combining like-terms: 10x + 7x = 17x ; 30 + 14 = 44

Left with: 17x + 44

Answer:

Remove the parentheses

10x + 30 + 7x + 14

Add the like terms

17x + 44

Solution

17x + 44

Step-by-step explanation:

Please mark the Brainliest

Answer:

D stays for 1 and as B is -6

the length of BD should be 7

good luck <3!

Answer:

94%

Step-by-step explanation:

Answer:

Step-by-step explanation:

\( \sqrt{ {x}^{2} - 3x - 6} = x - 1\)

Squaring on both sides:

\( {x}^{2} - 3x - 6 = {(x - 1)}^{2} \)

Use the formula:\( {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \)

\( {x}^{2} - 3x - 6 = {x}^{2} - 2x + 1\)

Combine like terms.

\( {x}^{2} - {x}^{2} - 3x + 2x = 1 + 6\)

\( - 3x + 2x = 7\)

Calculate

\( - x = 7\)

\(x = - 7\)

Hope this helps...

Good luck on your assignment..

Answer:

-7

Step-by-step explanation:

Khan academy

Here we have a dilation of scale factor 2.

We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.

To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:

L' = K*L

Here if we use the left sides, we will get:

for figure A; L= 2

for figure B: L = 4

4 = K*2

4/2 = K

2 = K

So this is a dilation of scale factor k = 2.

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Answer:

FG = 14

Step-by-step explanation:

set up your equation

EF + FG = EG

(9) + (4x) = (6x + 2)

simplify -- subtract 2 from each side, subtract 4x from each side

7 = 2x

divide

x = 3.5

plug x into FG

FG = 4x

FG = 4(3.5)

FG = 14

check work

9 + 4(3.5) = 6(3.5) + 2

9 + 14 = 23

23 = 23

Answer:

FG=14

Step-by-step explanation:

EF+FG=EG

9+4x=6x+2

2x=7

x=7/2

FG=4x ⇒ 4(7)/2

FG=28/2

FG=14

Answer:

1095.

Step-by-step explanation:

The increase per night is 545 - 435 = 110.

So on 6th night we can expect 435 + 6(110)

= 1095.

Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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Answer:

1.222

Step-by-step explanation:

Σ

6

1

(

3

i

−

1

)

-1 is repeated 6 times

Σ

6

1

(

3

i

)

−

6

=

3

(

1

+

2

+

3

+

4

+

5

+

6

)

−

6

=

3

(

21

)

−

6

=

63

−

6

=

57

Step-by-step explanation:

England receives a total weighted score of \(1.9\) , while Canada receives a score of \(1.6\).

Instead of hiring an own accountant, a small business may choose to contract bookkeeping responsibilities to an accounting company in to cut expenses. Some companies find it advantageous to outsource HR department duties including payroll and medical coverage.

Outsourcing has several benefits, including better systems and service quality, access to the world's best workers, improved scheduling, avoiding personnel concerns, and many more.

a) Using the factor-rating method, we can calculate the total weighted score for each country as follows:

For England:

Total score \(= (2 * 0.1) + (3 * 0.6) + (1 * 0.2) + (1 * 0.1) = 1.9\)

For Canada:

Total score \(= (3 * 0.1) + (1 * 0.6) + (3 * 0.2) + (2 * 0.1) = 1.6\)

Therefore, based on the risk-avoidance criteria and weightings established by the executives, we would select Canada as the better choice.

b) If we double each of the weights used in part (a), the total weighted score for each country changes as follows:

For England:

Total score \(= (2 * 0.2) + (3 * 1.2) + (1 * 0.4) + (1 * 0.2) = 4.0\)

For Canada:

Total score \(= (3 * 0.2) + (1 * 1.2) + (3 * 0.4) + (2 * 0.2) = 2.2\)

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The amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function(refer to attached picture)

We know the amplitude of the function is given by:

\(\rm Amplitude \ of \ f \ = \frac{1}{2} |max \ f -min \ f|\)

As we can see in the graph the maximum value is 0 and

the minimum value of a function is -4, thus the amplitude

\(\rm Amplitude \ of \ f \ = \frac{1}{2} |0 -(-4)|\)

The amplitude of f = 2

Thus, the amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.

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Hence, the expressions 8 x + 1 and 5/x are equal. F) 8x+(66) and J) 5x + (101) are the two equivalent expressions.

A mathematical sentence without an equal sign that comprises numbers, quantities, and operations is known as an expression. By changing variables with constants and using the order of actions, it can be evaluated or made simpler. For instance, the phrases "3x + 7" and "4y - 2" are equations, whereas "3x + 7 = 16" is an expression.

given

F and J are the two expressions that are equivalent.

F: 8 ÷ x + (6/6)

6/6 reduced to 1: 8 x + 1

J: 5 x x 1 Converting 5 x to 5x-1, 5x-1 x 1 equals 5/x

Hence, the expressions 8 x + 1 and 5/x are equal. F) 8x+(66) and J) 5x + (101) are the two equivalent expressions.

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The complete question is:-  

Which two expressions are equivalent?

(6.7D | Lesson 6)

F 8÷x+(6'6) and 8÷x. 1

G 6-2 (x - x) and 6 ÷ 2

H 14 ÷ 7. (xx) and 14 ÷ 7

J 5÷x(101)10+and 5 x 1•

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Answer:

I answer dis already it’s 5

Step-by-step explanation:

Answer: 0%?

Step-by-step explanation: there isn't much to this problem because if it had a deviation of 3 from 68, it could be 7 digits from 65 to 71, but since 72 is out of the range, i can only say that this answer is not very correct if it has answer choices other than 0.

The probability is 0.160

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

mean (μ) = 68 inches

Standard Deviation (σ) = 3

We know,

Z = \(\frac{x - mean}{standard deviation}\)

From the normal distribution bell curve, we can see that the percentage of students taller than 72 inches = 14% + 2%

                                                  = 16%

The probability that a randomly selected student will be taller than 72 inches = 16/100

           = 4/25

           = 0.16

           = 16%

Hence, we can conclude, that the probability that a randomly selected student will be taller than 72 inches is 0.160

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Answer:

1/6

Explanation:

To know the amount of the project that she worked on each day, we need to divide 5/6 by 5 as:

Therefore, she made 1/6 of the project each day.

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

f(x)=2x-2 with =( -1, 4)

f(x)=2(x^2) -2 with (-1,0)

f(x)=2√(x-2)  with (2,0)

Step-by-step explanation:

f(x)=2x-2

(2,0)

0=2(2)-2=2    0=2

(-1,-4)

4=2(-1)-2=-4   -4 = -4  f(x)=2(x^2) -2

(2,0)

0=2(2^2)-2=6  0=6

(-1,0)

0=2(-1^2)-2=0  0=0  f(x)=2√(x-2)  (2,0)

0=2√(2-2)=0   0=0

The function f ´( x ), which would be read `` f -prime of x '', means the derivative of f ( x ) with respect to x .

A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).

f(x)=2x-2\s(2,0)

0=2(2)

-2=2 0=2

(-1,-4)

4=2(-1)-2=-4 -4 = -4 f(x)=2(x^2) -2\s(2,0) (2,0)

0=2(2^2)

-2=6 0=6\s(-1,0)

0=2(-1^2)

-2=0 0=0 f(x)=2 √(x-2) (2,0) (2,0)

0=2√(2-2)=0 0=0

The phrase "f (x)" denotes a formula with x serving as its input variable. Not "multiply f and x," though! Never try to "multiply" the function name with its parenthesized input and avoid embarrassing yourself by pronouncing (or thinking of) "f (x)" as being "f times x".

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\(f(x) = 10x - 5\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(f(3) = 10(3) - 5\)

\(f(3) = 30 - 5\)

\(f(3) = 25\)

_________________________________

\(f(0) = 10(0) - 5\)

\(f(0) = - 5\)

##############################

\(f(3) + f(0) = 25 - 5\)

\(f(3) + f(0) = 20\)

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Heracio used the computer 4 more hours to do homework than shop online.

To find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.

Let's start by calculating the number of hours Heracio spent on each activity:

Shopping: 10% of 40 hours = 4 hours

Videos: 15% of 40 hours = 6 hours

Homework: 20% of 40 hours = 8 hours

Games: 20% of 40 hours = 8 hours

Social media: 25% of 40 hours = 10 hours

Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:

8 hours (homework) - 4 hours (shopping) = 4 hours

Therefore, Heracio used the computer 4 more hours to do homework than shop online.

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