MATHEMATICS HIGH SCHOOL

You have a restaurant bill of $61.45. If you are taxed 8 1/2 and decide to tip your server 15%, how much is your total? a. $75.65 b. $75.89 c. $76.32 d. $76.67

Answers

Answer 1

Answer:

$75.89 i just took the test

Answer 2

Answer:

Answer:

b. $75.89

Step-by-step explanation:

Edge 2020

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4. Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place.18.729

Answers

Answer:

Hence, the estimate value of 9.327 + 5.72 + 4.132 to one decimal place is:

19.2

Step-by-step explanation:

We have to Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place

We find the sum of these numbers:

Sum= 9.327+5.72+4.132

= 19.179

Now we have to estimate the value to one decimal place

so, on approximating the value, we get the sum=19.2

Hence, the estimate value of 9.327 + 5.72 + 4.132 to one decimal place is:

19.2

The sum for those numbers is 19.179 NOT 18.729. HOWEVER the Estimation of the sum and the answer for this question is 19.2 because the decimal place you are finding has a number to its right that is greater to that decimal place so you add the one to the decimal place you are finding.

What quadrant would the ordered pair (–4,–6) fall in?

Answers

Answer:

The ordered pair (-4,-6) is in the 3rd quadrant

Step-by-step explanation:

If we have an ordered pair (a,b), they would fall in:

1st quadrant: if a and b are positive
2nd quadrant: if a is negative and b is positive
3rd quadrant: if a and b are negative
4th quadrant: if a is positive and b is negative

Then, taking into account that -4 and -6 are negative numbers, the ordered pair (-4,-6) belong to the 3rd quadrant

QUADRANT 3 IS the right answer

Find a vector equation and parametric equations for the line segment that joins P to Q. P(0,0,0) Q(−5,6,6)

Answers

Answer:

The vector that goes from point P to point Q is:

PQ = (-5, 6, 6) - (0, 0, 0) = (-5, 6, 6)

To find the vector equation for the line segment that joins P to Q, we need to add a parameter t that varies from 0 to 1 to the vector equation of the line going from P to Q:

r(t) = P + t(PQ) = (0, 0, 0) + t(-5, 6, 6) = (-5t, 6t, 6t)

To find the parametric equations for the line segment, we can isolate each coordinate:

x = -5t

y = 6t

z = 6t

Solving for t in each equation, we get:

t = -x/5

t = y/6

t = z/6

We can see that the parameter t varies from 0 to 1 as x goes from 0 to -5, as y goes from 0 to 6, and as z goes from 0 to 6. Therefore, the parametric equations for the line segment that joins P to Q are:

x = -5t

y = 6t

z = 6t

where 0 ≤ t ≤ 1.

Step-by-step explanation:

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Answers

Answer:

(-6,9,-3)

Step-by-step explanation:

-3x -y +z=6

-3x-y+3z =0

x-3z =3

Multiply the second equation by -1

-1 *(-3x-y+3z) =0*-1

3x +y -3z =0

Add this to the first equation

-3x -y +z=6

3x +y -3z =0

----------------------

0 + 0 + -2z = 6

Divide by -2

-2z/-2 = 6/-2

z = 6/-2

z=-3

Take the third equation to find x

x-3z=3

x-3(-3) = 3

x+9=3

Subtract 9 from each side

x+9-9 =3-9

x=-6

Now we need to find y

3x +y -3z =0

3(-6) +y -3(-3) =0

-18 +y +9=0

-9+y =0

Add 9 to each side

-9+9+y = 0+9

y=9

(-6,9,-3)

$\left\{\begin{array}{ccc}-3x-y+z=6\n-3x-y+3z=0\nx-3z=3&|\text{add 3z to both sides}\end{array}\right\n\nx=3+3z\n\n\text{Substitute it to the first and the second equation:}\n\n\left\{\begin{array}{ccc}-3(3+3z)-y+z=6\n-3(3+3z)-y+3z=0\end{array}\right\n\n\text{use distributive property}\n\n\left\{\begin{array}{ccc}-9-9z-y+z=6&|\text{add 9 to both sides}\n-9-9z-y+3z=0&|\text{add 9 to both sides}\end{array}\right\n\n\text{combine like terms}$

$\left\{\begin{array}{ccc}-8z-y=15\n-6z-y=9&|\text{change the signs}\end{array}\right\n\n\underline{+\left\{\begin{array}{ccc}-8z-y=15\n6z+y=-9\end{array}\right}\qquad\text{add both sides of the equations}\n.\qquad-2z=6\qquad\text{divide both sides by (-2)}\n.\qquad\boxed{z=-3}\n\n\text{Put the value of z to the second equation:}\n\n6(-3)+y=-9\n-18+y=-9\qquad\text{add 18 to both sides}\n\boxed{y=9}\n\n\text{Put the value of z to the equation}\ x=3+3z:\n\nx=3+3(-3)\nx=3-9\n\boxed{x=-6}$

$Answer:\ \boxed{x=-6,\ y=9,\ z=-3\to(-6,\ 9,\ -3)}$

Bret threw a baseball up in the air. The following table represents the height f(t), in meters, of the ball above the ground at time t seconds: Time (t)
(in seconds) Height f(t)
(in meters)
0 3
2 4
4 3
6 0

Which of the following is represented by the y-intercept of f(t)?
(A)The ball touches the ground after 6 seconds.
(B)The ball was thrown from a height of 3 meters.
(C)The ball reaches a maximum height of 4 meters.
(D)The ball reaches the maximum height in 2 seconds.

Answers

The answer is B. The y-intercept is the number on the y axis when x=0. you can see that when x=0, y=3, therefore B is the answer

The statement that represents the y-intercept of f(t) is (B)The ball was thrown from a height of 3 meters.

How to determine the y-intercept?

The table of values is given as:

t f(t)

0 3

2 4

4 3

6 0

The y-intercept is when x = 0.

From the table, we have:

f(0) = 3

This means that: The ball was thrown from a height of 3 meters.

Answers

The best answer to the question that is being presented above would be true. It is deemed true that graphing recorded data from a chart or table would be helpful for interpreting trends or patterns. This is because the graph shows the distribution of data and has an overall picture on how the data moves.

True;
The data points the changes occurring at different points on the graph.

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