Answer:
Parallel slopes: two lines that has the same slopes but have different y-intercept
Perpendicular slope: two lines that are negative reciprocals(common) of each other
Cooper is a salesperson who sells computers at an electronics store. He makes a base pay amount of $ 60 per day regardless of sales and he earns a commission of 1.5% of the dollar amount of all sales that he makes. Write an equation for P, in terms of x, representing Cooper's total pay on a day on which he sells z dollars worth of computers.
Answer:
P = 0.015x + 60
Step-by-step explanation:
Since Cooper's base pay is $60, he would earn $60 even for selling $0 worth of computers, meaning P= 60 when x=0, which is the y-intercept.
(0,60) is a point on the graph
Since Cooper makes a commision of 1.5% for all sales, the amount of money earned in a given day increases $0.015 for each $1 of sales made (multiply 1 by 0.015). This means the slope of P is equal to 0.015.
write an equation to solve for x you are only writing the equations 8x+10 12x-18
Answer:
x = 7Step-by-step explanation:
Required equation
8x + 10 = 12x - 18Solving for x
12x - 8x = 10 + 184x = 28x = 28/4x = 72 points
21. Colin bought a car for $32,555. The value of the car depreciates by the same amount
each
year.
After 10 years, his car is now worth $18,725. What is the rate of depreciation?
Answer:
The Rate is 1,383!
Step-by-step explanation:
1st)32,555-18,725=13,830
2nd)13,830/10=1,383.
HOPE THIS HELPS!!!!!!!!!!!!!
The height h and collar size c , both in centimeters, measured from a sample of boys were used to create the regression line cˆ=−94+0.9h . The line is used to predict collar size from height, both in centimeters, for boys’ shirt collars. Which of the following has no logical interpretation in context?
Answer:
The C=intercept of the regression line
Step-by-step explanation:
The slope of the regression line has a logical interpretation as the average rate of change in collar size for a 1cm increase in height.
A linear regression is represented as [tex]^\wedge y = mx + c[/tex]
The option that has no logical interpretation is: E The c-intercept of the regression line
From the question, we have:
[tex]^\wedge c = 94 + 0.9h[/tex]
Using the above representation of a regression line [tex]\wedge y = mx + c[/tex]
[tex]m \to[/tex] the slope
[tex]c \to[/tex] the y-intercept
By comparing [tex]\wedge y = mx + c[/tex] to [tex]^\wedge c = 94 + 0.9h[/tex]
[tex]0.9 \to[/tex] slope
[tex]94 \to[/tex] the y-intercept
While [tex]^ \wedge c[/tex] and [tex]h[/tex] are the variables (i.e. collar size and height)
From the list of given options (see attachment), the option that has no logical interpretation is:
E. The c-intercept of the regression line
This is because c does not represent the intercept of [tex]^\wedge c = 94 + 0.9h[/tex]
Read more about linear regression at:
https://brainly.com/question/18405415
An interior designer is developing plans for her client's living room. She is using the
scale that 1 inch represents 4 feet. She wants a rug that covers 48 square feet.
What could be the dimensions of the rug on the plans?
PLEASE HELP ASAP
Answer:
4 feet - 1 inch
Step-by-step explanation:
i hope this is correct :)
If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p circle q) (x)?
what role did the Stono Rebellion play in the resistance to slavery?
Slaves on the Stono Plantation refused to work until they were paid.
Whites became actively involved in the resistance to slavery by assisting the rebellion.
Slaves utilized their large numbers to organize an escape attempt.
Many slave owners feared further uprisings and freed their slaves.
Answer:
Step-by-step explanation:
The answer is b
5,5,3 Is this a triangle? Explain.
8,8,8,Is this a triangle? Explain.
7,8,15 Is this a triangle? Explain.
5,6,10 Is this a triangle? Explain.
Please help me figure these problems out with the correct answers the last guy said they were all not triangles and my teacher said they were incorrect who ever answers and explains correctly gets 31 points and gets marked brainliest you have all the time you need so answer wisely. This shouldn't take long don't answer something your not similar with.
Problem 1
Answer: Yes a triangle can be formed with side lengths 5,5,3
--------------------
Explanation:
Take any two sides and add them up. If we get a sum larger than the third side, then a triangle is possible. This is the triangle inequality theorem.
5+5 = 10 is larger than 3
5+3 = 8 is larger than 5
This shows a triangle is possible. The triangle is isosceles because two sides are the same length.
==========================================================
Problem 2
Answer: Yes a triangle can be formed with side lengths 8,8,8
--------------------
Explanation:
This triangle is equilateral because all sides are the same length.
Take any two sides, add them up, and you'll find the sum is larger than the third side.
==========================================================
Problem 3
Answer: No a triangle cannot be formed with sides 7,8,15
--------------------
Explanation:
Yes it is true that
8+15 = 23 is larger than 7
7+15 = 22 is larger than 8
but
7+8 = 15 is not larger than 15
So this means a triangle is not possible.
Imagine you had 3 strips of paper that were 7 inches, 8 inches and 15 inches long. The 7 and 8 inch strips add to 15 inches, but those two smaller strips only form a straight line. We cannot pull them so a triangle forms. If we did, then the third side would be smaller than 15 inches. This is one way to get hands on to see why the triangle inequality theorem works.
==========================================================
Problem 4
Answer: Yes a triangle is possible with side lengths 5,6,10
--------------------
Explanation:
Same idea as before. We can take any two sides, add them, and get a sum larger than the third side. A triangle is possible.
5+6 = 11 is larger than 106+10 = 16 is larger than 55+10 = 15 is larger than 6This is the last one I need
Answer:
Trina is closer
Step-by-step explanation:
Trina is closer to the surface of the earth because -85.6 vs 87.9
85.6 ft is closer by 2.3 ft.
Helpppp ASAPP!!!
The measure of an angle is 28°. What is the measure of its supplementary angle?
Answer:
Step-by-step explanation:
90 - 28 = 62 is the measure of 28° supplementary angle
Answer:
its 152
Step-by-step explanation:
The bus routes in a city run on average every 15 minutes. The route times can vary by three minutes. Which absolute value equation can be used to find the maximum and minimum wait times at a bus stop?
Answer:
[tex]Max = 18\ mins[/tex]
[tex]Min = 12\ mins[/tex]
Step-by-step explanation:
Given
[tex]Time = 15\ mins[/tex]
[tex]Variation = 3\ mins[/tex]
Required
Determine the max and min values
The max value is calculated as thus:
[tex]Max = Time + Variation[/tex]
[tex]Max = 15\ mins + 3\ mins[/tex]
[tex]Max = 18\ mins[/tex]
The min value is calculated as thus:
[tex]Min = Time - Variation[/tex]
[tex]Min = 15\ mins - 3\ mins[/tex]
[tex]Min = 12\ mins[/tex]
Solve: x+9= x- 11
Quiero una respuesta
The value of y is directly proportional to the value of x.If y=35 when x=140, what is the value of y when x=70
Jenna saves $5 each week. She wants to know how much money she has saved after 6 weeks. How can you represent this? Choose all that apply
Answer:
$30
Step-by-step explanation:
5 x 6 = 30
hope this helped :)
The graph shown is a direct variation. What is the rate of change?
5
10
50
Answer:the rate of change is 5
Step-by-step explanation:
For functions f(x)=x^2−5x−24 and g(x)=x+3, find a. (fg)(x) b. (fg)(−3)
PLEASE HELP MEEEE!!!!!!!
2) Choose the word form for 3,016.*
a) three hundred sixteen
O b) thirty sixteen
O c) thirty thousand, sixteen
O d) three thousand, sixteen
Determine the slope for each side of the polygon.
The slope of side w is: _
The slope of side z is:_
The slope of side x is: _
The slope y is : _
Answer:
The slope of side w is: ¼
The slope of side z is: -4
The slope of side x is: ¼
The slope y is : -4
Step-by-step explanation:
Slope of w between (-1, 5) and (-5, 4):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 5}{-5 -(-1)} = \frac{-1}{-4} = \frac{1}{4} [/tex]
Slope of x between (-3, -4) and (1, -3):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 -(-4)}{1 -(-3)} = \frac{1}{4} = [/tex]
Slope of y between (-3, -4) and (-5, 4):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 -(-4)}{-5 -(-3)} = \frac{8}{-2} = -4 [/tex]
Slope of z between (1, -3) and (-1, 5)):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-3)}{-1 - 1} = \frac{8}{-2} = -4 [/tex]
The slope of side w is
1/4
The slope of side z is
-4
The slope of side x is
1/4
The slope of side y is
-4
Step-by-step explanation:
it just is
What laws being modeled?
Answer:
law of contrapositive
Step-by-step explanation:
How to solve: -x=14.
Answer:
x=-14
Step-by-step explanation:
Multiply each term in − x = 14 by − 1
Answer:
-14
Step-by-step explanation:
help pllzzzzzzzzzzzz ttyy
Answer: 7 + 2x
Step-by-step explanation:
Hope this helps
Help with this (calculus)
(a) h(t) is quadratic, so we can complete the square to write
h(t) = 100 + 40 t - 5 t²
h(t) = 100 - 5 (t² - 8 t)
h(t) = 100 - 5 (t² - 8 t + 16 - 16)
h(t) = 100 + 80 - 5 (t² - 8 t + 16)
h(t) = 180 - 5 (t - 4)²
The squared quantity is always non-negative, which means h(t) has a maximum value of 180 m.
(b) First, find when the projectile hits the ground, which happens when h(t) = 0:
0 = 180 - 5 (t - 4)²
180 = 5 (t - 4)²
36 = (t - 4)²
± 6 = t - 4
t = -2 OR t = 10
Omit the negative solution. The velocity of the ball at t = 10 s is equal to the derivative at the point, h' (10).
[tex]h'(10)=\displaystyle\lim_{t\to10}\frac{h(t)-h(10)}{t-10}[/tex]
[tex]h'(10)=\displaystyle\lim_{t\to10}\frac{(180-5(t-4)^2)-80}{t-10}[/tex]
[tex]h'(10)=\displaystyle\lim_{t\to10}\frac{100+40t-5t^2}{t-10}[/tex]
[tex]h'(10)=\displaystyle-5\lim_{t\to10}\frac{(t+2)(t-10)}{t-10}[/tex]
[tex]h'(10)=\displaystyle-5\lim_{t\to10}(t+2)=-60[/tex]
So the projectile has a downward velocity of 60 m/s at the moment it touches the ground.
Hello!
Find the maximum height by finding the maximum of the function, where the derivative switches from positive to negative. Find the derivative of the equation:
h(t) = 100 +40t -5t²
Power rule:
h'(t) = 40 - 10t
Set the equation equal to 0:
0 = 40 - 10t
-40 = -10t
t = 4
Test values on both sides of 4 to ensure that there is a maximum at this x value:
40 - 10(3) = 10
40 - 10(5) = -10
Therefore, the derivative switches from positive to negative. There is a maximum at t = 4. Find the height by plugging in this value for time into the original equation:
h(4) = 100 + 40(4) - 5(4)²
h(4) = 100 + 160 - 80
h(4) = 180 meters
Find the velocity when it hits the ground. Begin by finding the time necessary for the object to hit the ground:
0 = 100 + 40t - 5t²
Rearrange and factor:
0 = -5t² + 40t + 100
0 = (5t + 10)(-t + 10)
Set each factor equal to 0:
5t + 10 = 0
t = -2
-t + 10 = 0
t = 10
Therefore, the object takes 10 seconds to reach the ground. Plug this into the derivative of the equation (solved for earlier), which is the velocity:
h'(t) = 40 - 10t
h'(10) = 40 - 10(10)
h'(1) = -60 m/s. This is the *downward* velocity when the object hits the ground.
The product of two even numbers is always divisible by 4 true or false
Answer:
It is true.
Step-by-step explanation:
4*8 = 32, which is divisible by 4.
222*608 = 134 976, which is divisible by 4.
What operations never change the solution set of an equation
Answer:
x values
Step-by-step explanation:
One marble is randomly selected from a jar containing 3 red,4 green,2 black,and 6 blue marbles.Find the probability.
Answer:
ratio bozo
Step-by-step explanation:
what is the measure of angle z?
what is the slope of a line that goes through (4,5) and (-2,-4)
Answer
3/2
Step-by-step explanation:
(y2-y1)/(x2-x1)=(-4-5)/(-2-4)=-9/-6=3/2
If Lara purchased 6 cups of blue paint for $48, what is the unit price per cup of blue paint? NEED TO BE ANSWERED TODAY
Answer:
The unit price per cup of blue paint would be $8
Step-by-step explanation:
because 6x8=48 soo each cup would be 8 dollars.
PLSSSS HELP URGENTLY!Explain the Error
Find the error in the solution, and then solve it correctly.
7x + 21 + 9x = 2
7x + 21 = -7
7x = -28
-28
X =
7
(select) was subtracted from the left side, but (select) was subtracted from the
right side. The Subtraction Property of Equality states that you can subtract the
same number from each side and the equation will remain true. But 9x and 9 are
not the same number (unless x is (select)).
x =
Answer:
The correct value of x will be "[tex]-\frac{19}{16}[/tex]". The further explanation is given below.
Step-by-step explanation:
The given equation is:
⇒ [tex]7x + 21 + 9x = 2[/tex]
⇒ [tex]16x+21=2[/tex]
On subtracting "21" from both sides, we get
⇒ [tex]16x+21-21=2-21[/tex]
⇒ [tex]16x=-19[/tex]
⇒ [tex]x=-\frac{19}{16}[/tex]