Answer:
y=-.386x + 2.879
Explanation:
For these type of calculations, you would have to use a graphing calculator to use the linear regression function. What this does is, it takes the x & y values given on the chart and it gives you the best possible linear equation for the given data set.
The exact results were:
y = -0.3862928349 + 2.869158879
Ethan works at an electronics store as a salesperson. Ethan earns a 5% commission on the total dollar amount of all phone sales he makes, and earns a 4% commission on all computer sales. Ethan had twice as much in computer sales as he had in phone sales and earned a total of $117 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Ethan made and the dollar amount of computer sales he made. Define the variables that you use to write the system.
Answer:
0.05x+0.04y=117
y=2x
where:
x is the amount of all phone sales
y is the amount of all computer sales
Step-by-step explanation:
From the information given, the first equation would indicate that the comission of all phone sales plus the comission from all computer sales would be equal to 117, which is:
0.05x+0.04y=117, where:
x is the amount of all phone sales
y is the amount of all computer sales
Also, the statement indicates that Ethan had twice as much in computer sales as he had in phone sales, which would be:
y=2x
Now, you can replace y=2x in the first equation and solve for x:
0.05x+0.04(2x)=117
0.05x+0.08x=117
0.13x=117
x=117/0.13
x=900
Finally, you can replace the value of x in y=2x to find the value of y:
y=2(900)
y=1800
Review the following information about vectors q and r.
What is the value of a?
q=(-4,1)
31
r = (a, 3)
7(q + r) = (-35, 28)
-5
==========================================
Work Shown:
q = (-4, 1) is one vector
r = (a,3) is another vector
The resultant vector is
q+r = (-4,1)+(a,3)
q+r = (-4+a,1+3)
q+r = (-4+a,4)
Multiply both sides by 7
7(q+r) = 7*(-4+a,4)
7(q+r) = (7*(-4+a),7*4)
7(q+r) = (-28+7a, 28)
---------------
Since 7(q+r) = (-35, 28), we know that,
(-28+7a, 28) = (-35, 28)
which leads to
-28 + 7a = -35
when we equate the x components of each vector. Let's solve for 'a'
-28 + 7a = -35
7a = -35+28
7a = -7
a = -7/7
a = -1
--------------
Check:
q = (-4,1)
r = (a,3) = (-1,3)
q+r = (-4,1)+(-1,3)
q+r = (-4+(-1), 1+3)
q+r = (-5, 4)
7*(q+r) = 7*(-5, 4)
7*(q+r) = (7*(-5), 7*4)
7*(q+r) = (-35, 28)
The answer is confirmed.
Answer:
D. -1
Step-by-step explanation:
edge test
On a trip, Miguel drives at an average speed of 55 miles per hour. After 2 hours, the odometer on his car reads 4583. Write an equation to represent the reading on the odometer m after h hours.
Answer:
[tex]m=4473-55h[/tex]
Step-by-step explanation:
Step one
Given data
speed= 55 miles per hour
time taken = 2 hours
Hence the distance covered is
from v=d/t
distance= velocity * time
distance= 55*2
distance= 110 miles
this means that the initial reading of the odometer is
=4583-110
=4473 miles
after h hours the distance covered will be
distance = 55*h
distance= 55h
the reading of the odometer m is
m= initial reading-distance
Hence the reading of the odometer m is expressed as
[tex]m=4473-55h[/tex]
Answer:
Correct
m=55h+4473
Step-by-step explanation:
i got it right :-)
Solve the following system by using substitution:
x = -3y - 17
2x + 3y = -7
Answer:
x=10 and y=−9
Step-by-step explanation:
Answer:
(x,y) = (10,-9)
Step-by-step explanation:
x=-3y-17
2x+3y=-7
2(-3y-17)+3y=-7
y=-9
x=-3(-9)-17
x=10
Write P(x) = x3 + x2 − 17x + 15 as a product of two factors, using x − 3 as one factor.
Answer: (x-3)(x-1)(x+5)
Step-by-step explanation: Factor this polynomial, to do that you use the rational roots theorem.
Answer: (x-1)(x-3)(x+5)
Step-by-step explanation:
Use the rational root theorem
Constant term = 15, Coefficient of leading term = 1
Factors of 15: 1, 3 , 5, 15
Factors of 1: 1
Therefore, (x-1) is a factor
[tex]\begin{array}{l}=\frac{\left(x-1\right)\frac{x^3+x^2-17x+15}{x-1}}{x-3}\\\\=\frac{\left(x-1\right)\left(x^2+2x-15\right)}{\left(x-3\right)}\\\\=\frac{\left(x-1\right)\left(x-3\right)\left(x+5\right)}{x-3}\\\\=\left(x-1\right)\left(x+5\right)\end{array}[/tex]
Cubic equations must have 3 factors to get to the third degree, therefore (x-1)(x-3)(x+5)
Point B is at (-1.5 , 6.3). Point B is reflected across the x-axis to become point C.
The coordinates of point C are___________ .
Point C is located in quadrant _________ .
PLS HELP
BRAINLIST
Answer:
Located in quadrant 2. And coordinates of point c are (1.5, 6.3)
Step-by-step explanation:
Hope this helped you!! Give brainliest..
Answer: 2 and 3
Step-by-step explanation:
please help! one easy khan question <3
Answer:
It's the B
[tex] \sqrt{29} [/tex]
Step-by-step explanation:
[tex]d = \sqrt {(2 - 4)^2 + (2 - 7)^2}[/tex]
[tex]d = \sqrt {(-2)^2 + (-5)^2}[/tex]
[tex]d = \sqrt {4 + 25}[/tex]
[tex]d = \sqrt 29[/tex]
Hope this helps, have a good day
On Saturday, 150 guests at a hotel called for room service, and 225 guests did not call for room service. What percentage of the guests at this hotel called for room service on Saturday?
Answer:
40% I believe Hope's it help
4. -64
Multiplicative inverse
Answer:
the answer I got is -23, please let me know if I am wrong.
Find the exact length of the third side.
68
51
Answer:
The value of c is:
c=85 unitsStep-by-step explanation:
Given the right-angled triangle
a=68b=51And we have to determine the value of the hypotenuse 'c'.
c=?
Pythagorean Theorem:
For a right-angled triangle with sides a and b the hypotenuse c
[tex]c=\sqrt{a^2+b^2}[/tex]
[tex]a=68[/tex]
[tex]b=51[/tex]
[tex]c=\sqrt{68^2+51^2}[/tex]
[tex]c=85[/tex] units
Thus, the value of c is:
c=85 units
Which expression is equivalent to 5x2 – 8 ?
explain
Answer:
10x+−8
Step-by-step explanation:
multiply 5 x 2 = 10
turn 8 to -8
now your answer is 10x+-8
23.82600 in standard form
Answer:
23.826
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
I WILL PUT MANY POINTS ANSWER PROPERLY OR ELSE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Zoe took a total of 28 quizzes over the course of 4 weeks. After attending 6 weeks of school this quarter, how many quizzes will Zoe have taken in total? Assume the relationship is directly proportional.
? quizzes
I HAVE MORE QUESTIONS SO DONT ANSWER AND LEAVE
Answer:
42
Step-by-step explanation:
-3(10+4v)=-6(5-9v)
step-by-step pls
Answer:
0
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(10+4v)=−6(5−9v)
Step 1: Simplify both sides of the equation.
−3(10+4v)=−6(5−9v)
(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)
−30+−12v=−30+54v
−12v−30=54v−30
Step 2: Subtract 54v from both sides.
−12v−30−54v=54v−30−54v
−66v−30=−30
Step 3: Add 30 to both sides.
−66v−30+30=−30+30
−66v=0
Step 4: Divide both sides by -66.
−66v
−66
=
0
−66
v=0
Answer:
omg im so sorry
Step-by-step explanation:
It takes 8 minutes to fill an empty aquarium to a depth of
2/5
meters.
What is the unit rate in minutes per meter?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
Answer
0
andrew8253
Virtuoso
237 answers
42.1K people helped
Answer:
The rate is 15 minutes per meter.
Step-by-step explanation:
It takes 9 minutes to fill a depth of meters.
Filling meters take 9 minutes time.
Filling 3 meters of the aquarium takes = 45 minutes time (Multiplying by 5 both the numbers).
In order to fill 1 meter of the aquarium it will take minutes (Dividing by 3 both the numerical values).
===================================================
Work Shown:
8 minutes = (2/5) meters
5*(8 minutes) = 5*( (2/5) meters )
40 minutes = 2 meters
40/2 minutes = 2/2 meters
20 minutes = 1 meter
The unit rate in minutes per meter is 20 minutes per meter.
In other words, it takes 20 minutes to raise the level 1 meter.
7. Simplify the expression.
3[(15 – 3)2 + 4
Answer:
84
Step-by-step explanation:
Answer:
If you meant 3 [ ( 15-3 ) 2 ] + 4, the answer should be 73.
Step-by-step explanation:
3 [ ( 15-3 ) 2 ] + 4
= 3 [ ( 12 ) 2 ] + 4
= 3 [ 24 ] + 4
= 69 + 4
= 73
Penelope earned $50 in May. She earned $60 in June.
What is the percent increase or decrease in Penelope's monthly earnings?
A. 30% decrease
B. 25% increase
C. 20% decrease
D. 20% increase
b)25%
espero ter ajudado
Can you please help me?!!!
Answer:
2 2/3
Step-by-step explanation:
Answer:
-7 1/3
Step-by-step explanation:
I already learned how to do that
Solve correctly and I’ll give brainliest
Someone help meeee please
Answer:
The equation of the line is -5/4
Step-by-step explanation:
Oscar has 5 baseballs jerseys , 2 hockey jerseys , 1 basketball jersey and 3 football jerseys . What’s the ratio of hockey jerseys to the total number of jerseys
Answer:
2:9
Step-by-step explanation:
Answer:
2:11
Step-by-step explanation:
There are 2 hockey jerseys and 11 TOTAL. Total is including the hockey jerseys aswell
I need help with this plz percent equations the question is blank % of 35 = 21
Answer:
60%
Step-by-step explanation:
Find the area. Simplify your answer.
What is the common differenec in 7, 6, 5, 4,...
Answer:
d = - 1
Step-by-step explanation:
The common difference d between consecutive terms is
6 - 7 = 5 - 6 = 4 - 5 = - 1
Answer:
Step-by-step explanation:
In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
2
5
20
80
Answer:
20
Step-by-step explanation:
I hope this helps :))))
Consider function f and g
f(x)=x^2+7x
g(x)=3x-1
what is the value of (f•g)(x)
9514 1404 393
Answer:
B. 9x² +15x -6
Step-by-step explanation:
The composition operator means that function f is applied to function g:
[tex](f\circ g)(x)=f(g(x))=f(3x-1)\\\\=(3x-1)^2+7(3x-1)\\\\=9x^2-6x+1+21x-7\\\\\boxed{(f\circ g)(x)=9x^2+15x-6}\qquad\textbf{matches B}[/tex]
What is the Surface area for a rectangular prism that has the measurements of 2, 12, and 6?
Answer:
216
Step-by-step explanation:
A=2(wl+hl+hw)=2·(12·2+6·2+6·12)=216
Answer: A=216
Step-by-step explanation:
so very sorry if it is not right but, I looked at it and that's what showed up
5 divided by 9/10 as a fraction
Answer:
5/1. 9/10 ÷ 5 = 9/50
Step-by-step explanation:
a whole number 5 can be written as 5/1. 9/10 ÷ 5 = 9/50 in fraction form.
hope this helped. Let me know if i was right. Im sorry if I was wrong Im not so good at math.
“Mr and mrs brown went to two movies. The first one Lasted 3 1/2 hours and the second one lasted 1 1/3 hours. How much longer was the first than the second movie” please help me I need serious help rn
Answer:
8/15=32
Step-by-step explanation:
What is the circumference?"
18 ft
Answer:
C=2πr
Step-by-step explanation:
C=2πr