The commission function is an illustration of the absolute functions
The commission for the sales of 7 cars is 16
The function is given as:
[tex]\mathbf{E(x)=\mid 5- \frac{6x}{2}\mid}[/tex]
When an employee sells 7 cars, we have:
x = 7
So, the equation becomes
[tex]\mathbf{E(x)=\mid 5- \frac{6\times 7}{2}\mid}[/tex]
Simplify
[tex]\mathbf{E(x)=\mid 5- 3\times 7\mid}[/tex]
[tex]\mathbf{E(x)=\mid 5- 21\mid}[/tex]
Simplify
[tex]\mathbf{E(x)=\mid- 16\mid}[/tex]
Remove absolute brackets
[tex]\mathbf{E(x) = 16}[/tex]
Hence, the commission for the sales of 7 cars is 16
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PLEASE HELP ME :((((
Answer:
yes they both form a proportion
Lowest term of 4 11/12
Answer:
its already at its lowest. you can write it as a decimal 0.916667, but this fraction is already at its lowest.
what does air smell like?
Answer:
Clean air has no smell
Despite all of our best intentions to make a home smell clean, the truth is that clean air should smell like nothing at all.
Step-by-step explanation:
Before the rain begins, one of the first odors you may notice as winds pick up and clouds roll in is a sweet, pungent zing in your nostrils. That's the sharp, fresh aroma of ozone—a form of oxygen whose name comes from the Greek word ozein (to smell).
Can someone pls hel me out
Answer:
Please elaborate more your question so I can actually give you a more accurate answer.
Step-by-step explanation:
16.-:- En una granja hay 52 animales, entre vacas y chanchos. Si se sabe que la
frecuencia relativa de vacas es 14, ¿Cuántos chanchos tiene la granja? *
10
13
38
39
Answer:
what it mean???? I'm just asking
plssss answer the question
The circle graph shows the results of a survey. Of those surveyed, 10 said no. About how many people were surveyed?
Answer:
50 people
Step-by-step explanation:
so to solve this we can use cross multiplying:
first we know that 20% = 10 people and 80% = x people (we put x because we don't know how many people)
then we set it up:
[tex]\frac{10}{20}[/tex] = [tex]\frac{x}{80}[/tex]
= 20x = 800
= x = 40
now it asks how many people were surveyed in total so we add the 10 + 40 = 50
50 people were surveyed
This question is bothering and hurting my brain a lot: A restaurant has a square floor with an area of 324 m². Sketch the resaurant floor. What are its dimensions?
Answer:
The dimensions are 18m by 18m
Step-by-step explanation:
Since the problem says the floor is square, we know that all 4 sides are equal. The area for a square is one side squared. Since we do not have the actual length per side, we write the following formula: x^2= 324.
From there, we simply take the square root to figure out that one side is 18 meters. Once we know one side, we know all 4 because a square has equal sides. Therefore, the dimensions of the floor are 18m x 18m. I hope this helps!
115 - 12
-21 +
0) Simplify:
A. -2
1
4
B.
-
3
4
c.
3
4
D. 2
1
4
Answer:
B
Step-by-step explanation:
|15-12|/4 = 3/4
|(-21+9)/8| = |-12/8| = 12/8 = 3/2 (Simply)
3/4 - 3/2 = -3/4
So the answer is B.
whats 186,282 rounded to the nearest thousand ?
Answer: 186,000
Step-by-step explanation:
You round the 282 down so that it is an even thousand. <3
186,282 rounded to the nearest thousand is 186,000.
To round 186,282 to the nearest thousand, we look at the digit in the thousands place, which is '6'.
If the digit in the hundreds place is 5 or greater, we round up. If it is less than 5, we round down.
In this case, since the digit in the hundreds place is '8', which is greater than 5, we round up.
To round up, we increase the digit in the thousands place by 1 and replace all the digits to the right with zeros.
Therefore, rounding 186,282 to the nearest thousand gives us 187,000.
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Write the equation of the line in slope intercept form.
Help!!!!!!!
(-8,10); m=1/2
Answer:
y=1/2x+14
Step-by-step explanation:
If you mark (-8,10) in a graph and go up 1, over 2, then you will eventually get to (0,14).
You can also use the slope formula in reverse. 1/2=b-10/0-(-8)
1/2=b-10/8, then multiply both side by 8
4=b-10, add 10 to both sides
14=b
Evaluating expressions please help
Answer:
-15
Step-by-step explanation:
-1-7*(2)=-1-14=-15
You have a $25 gift card for a donut shop. Each donut costs $1.25. Write an equation in
slope-intercept and standard form that gives the amount (in dollars) that remains on the card as a
function of the total numbers of donuts you have purchased so far.
The equation of the given situation is required.
Slope intercept form [tex]y=-1.25x+25[/tex]
Standard form [tex]1.25x-y=25[/tex]
The total amount of money is $25.
Cost of one donut is $1.25
Let y be the amount of money left
x be the number of donuts bought.
So, the amount of money left after buying x donuts is
[tex]y=25-1.25x\\\Rightarrow y=-1.25x+25[/tex]
The standard form is [tex]1.25x-y=25[/tex]
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Module One Project Option 1 It is time to get the fish food ready for the marine life rescue missions. Over the last month, Penny's class has collected fish food in a variety of boxes. In order to ship the food, you are going to help Penny and her classmates. They are going to pack the small cubes of fish food into shipping boxes that are large right rectangular prisms. Shipping Box Fish Food 1 ft ft ft 0 ft 3 ft 3 / 4 Instructions:
Answer:
well we know the fish food 1/4 x1/4 x 1/4 = 1/64 because 4x4x4 equals 64 and denominator stays the same and the shipping boxes is simplify 3 3/4x = 15/4 and 3 becomes 3/1 and 3 1/4 becomes 13/4 and multiply 585/16
Step-by-step explanation:
To undo the exponent we have to take the square root a.true b.false
Answer:
A
Step-by-step explanation:
I need help solving this word problem. Pls help me ASAP and explain it step by step so I could understand it. Thanks
Answer:
n;
Convection; Radiation; Insulation.
PLTS/Gatsby:
Effective participants;
Independent Enquirers.
Compare group 1, 7 and 8 elements.
The BIG question
is… What is the trend in reactivity in the alkali metals, halogens and noble gases
REVISE for the cycle one assessment.
How are the elements in the periodic table different from one another?
How and why have different species evolved over time?
How is heat transferred?
Construct
WSHUTUP
Step-by-step explanation:
Please show work! Have test tomorrow and stuck, btw thank you! :)
Answer:
73
Step-by-step explanation:
8² + ( 7 - 4 )² = 64 + 3² = 64 + 9 = 73
Answer:
73
Step by-step explanation:
I dont know how to explain it I just put it into a calculator
which shape has ten sides and angles
Answer:
Decagon
Step-by-step explanation:
in the picture
A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply.
(12, 3)
(–2, –5)
(–3, 1)
(1, 15)
(5, –2)
We have to find slopes one by one.
#1
(0,1)
(12,3)
Line passes through this.
#2
(-2,-5)
Line passes through this
#3
(-3,1)
Not possible (Line passes through y axis as one co-ordinate is (0,1))
#4
( 1,15)
Line passes through this
#5
(5,-2)
Therefore, The Line does not pass through this.
4) Find the perimeter of square whose side is 6.4cm
Answer:
Perimeter = 25.6 cm
Explanation:
Square Perimeter Formula: [tex]P = 4 * s (side length)[/tex]
[tex]P = 4*6.4cm \\P = 25.6 cm[/tex]
HELP ASAP 23 POINTS!!!!!!!!!!!!!!!!!!!
Instructions- Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary.
f(x) = -0.5x+2
8(x) = -5x + 3
f(×)=-0,5x+2
8(×)= -5x+3
8×= -5x+3
8-5x+3
3x+3
x6
The nearest tenth as required, the point of intersection expressed as (0.2, 2.1).
To solve the system of equations, to find the points where the two functions intersect, which means the x-values where f(x) equals g(x). Let's proceed with the solution:
f(x) = -0.5x + 2
g(x) = -5x + 3
Set f(x) equal to g(x):
-0.5x + 2 = -5x + 3
Now, let's solve for x:
Add 0.5x to both sides to eliminate the term with x on the left side:
2 = -4.5x + 3
Subtract 3 from both sides:
-1 = -4.5x
Now, divide by -4.5 to isolate x:
x = -1 / -4.5
x ≈ 0.2222
Now that we have the x-value of the point of intersection, let's find the corresponding y-value by plugging x back into either f(x) or g(x). Let's use f(x):
f(x) = -0.5x + 2
f(0.2222) = -0.5(0.2222) + 2
f(0.2222) ≈ 2.1111
So, the point of intersection is approximately (0.2222, 2.1111).
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Slope = 2/5 On a Graph
Which of the following is written correctly in scientific notation?
11.7 x 104
203 x 10-2
3x75
1.234 x 10-6
Answer:
it would have tobe the forst option but iy has to be written 11.7 × 10^4
What does negative 2 over 3 > −1 indicate about the positions of negative 2 over 3 and −1 on the number line? (4 points) Group of answer choices negative 2 over 3 is located to the right of −1 negative 2 over 3 is located on the left of −1 negative 2 over 3 is located on the right of 0, and −1 is located on the left of 0 negative 2 over 3 is located on the left of 0, and −1 is located on the right of 0
Answer:
negative 2 over 3 is located to the right of -1
Step-by-step explanation:
-1 is further to the left than negative 2/3. Negative 2/3 is closer to 0.
Negative 2/3 is between -1 and 0.
These statements eliminate the other possible answers.
h(x)=x2-x;h(5) find function
Answer:
h(5) = 20
Step-by-step explanation:
Assume that '2' is an exponent.
So the question for you should be:-
[tex] \displaystyle \large{h(x) = {x}^{2} - x}[/tex]
We want to find h(5); we substitute x = 5 in.
[tex] \displaystyle \large{h(x) = {5}^{2} - 5}[/tex]
5^2 is 5•5 = 25.
[tex] \displaystyle \large{h(x) = 25 - 5} \\ \displaystyle \large{h(x) = 20}[/tex]
Therefore, h(5) is 20.
please help me with this assignment
Answer:
let the unknown angle be x
we know. sum of angles of a triangle is 180°
so,
130+20+x=180
150+x=180
x=180-150
x=30°
-7(w+4) +2w - 15 simplify
Answer:
w=-8.6 is your answer
-5w-43. is the simple version
Step-by-step explanation:
First distrubute the -7 and set equal to 0 so that we can move the w to the other side.
-7w-28+2w-15=0
-5w-43=0
add 43 to both sides so you can slove for w
-5w=43
divide both sides by -5 to isolate the w
w=-8.6
PLEASE ANSWER I WILL GIVE THANKS AND BRAINLIEST!! <33
Answer:
13) 10
17) 15
21) 10
25) 1
Step-by-step explanation:
13)
5x becomes 5(2) which is 5 times 2 = 10
17)
(4x) + 7 becomes (4 times 2) + 7 = 15
21)
(2x) + (2y) becomes (2 times 2) + (2 times 3)
= 4 + 6
= 10
25)
1/2(z - x) becomes 1/2(4 - 2)
= 1/2(2)
= 1
Write an equation of a line that passes through the point T ( − 2, − 5 ) and is parallel to the line y = 5 x + 7 .
Answer:
y = 5x + 5
Step-by-step explanation:
the slope to be parallel y = 5x + 7 must still be 5. To make the line pass through T, the given point, you plug (-2, -5) into the y= mx + b formula. This becomes( -5 )= 5 (-2) + B, and you solve for b. In this equation, b = 5.