A store sells new video games for $60 each. Used video games sell for $12 each. Jacob is buying 3 video games and x used video games which equation can be used to find y, the total price Jacob must pay in dollars?
Question:
1. Write an equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1).
2. Write an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1).
Answer:
Explanation is written below.
Step-by-step explanation:
1)
Given the line
[tex]y = -4x + 8[/tex]
Comparing with the slope-intercept form of the line equation
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
So, the slope of the line = m = -4
We know that the parallel lines have equal slopes.Thus, the equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1), using point slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here, m is the slope and (x₁, y₁) is the point
substituting the values m = -4 and the point (5, 1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
y-1 = -4 (x - 5)
y-1 = -4x+20
y = -4x+20+1
y = -4x + 21
2)
Given the equation
[tex]y = -4x + 8[/tex]
Comparing with the slope-intercept form of the line equation
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
So, the slope of the line = m = -4
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 1/4
Thus, an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1), using point slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here, m is the slope and (x₁, y₁) is the point
substituting the values m = 1/4 and the point (5, 1)
[tex]y-1\:=\:\frac{1}{4}\:\left(x\:-\:5\right)[/tex]
Add 1 to both sides
[tex]y-1+1=\frac{1}{4}\left(x-5\right)+1[/tex]
[tex]y=\frac{1}{4}x-\frac{1}{4}[/tex]
1) You are taking a Tae Kwon Do class that costs $15 a month. In addition, you needed to
purchase a uniform. You paid a total of $108 after 6 months. Write an equation that glves
the total cost (in dollars) as a function of the length of time you have been taking classes
(in months). Find the total cost after 9 months.
Answer:
$162
Step-by-step explanation:
you divide 6 months by 2 then you divide 108 by 2 then you add the half of 108 and plus it to 108 then you get your total.
The function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135
What is unit rate?A unit rate means a rate for one of something.
Given that, You are taking a TAE Kwan Do class that costs $15 a month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months.
We have unit rate = $15 per month
Since, one month cost is $15 therefore, for 6 months = 15×6 = $90
Therefore, cost of uniform = $108 - $90 = $18
Let you are taking classes for x months, the function of the length of time you have been taking classes,
f(x) = 15x
For 9 month cost =
f(9) = 15×9 = 135
Hence, the function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135
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In a logistic regression model, the predictor _________
a. is interval/ratio data.
b. must undergo a logarithmic transformation before undergoing logistic regression.
c. must be in the range of 0 to 1
d. represents ranked scores
e. must be a binary variable
Answer:
B. must undergo a logarithmic transformation before undergoing logistic regression.
Step-by-step explanation:
A logistic regression model allows us to establish a relationship between a binary outcome variable and a group of predictor variables. It models the logit-transformed probability as a linear relationship with the predictor variables.
THE ANSWERS ARE WRONG. I need help finding the right answers for 30 pts. I will post an additional question after this for 30 points aswell.
Answer:
∠D = 60
∠E = 99; x = 4
x = 32
Step-by-step explanation:
First things first, the sum of angles in a quadrilateral is 360°.
∠D + 120 + 95 + 85 = 360
∠D = 360 - 120 - 95 - 85
∠D = 60
∠E + 86 + 100 + 75 = 360
∠E = 360 - 86 - 100 - 75
∠E = 99
24x + 3 = 99
24x = 99 - 3
= 96
x = 96 ÷ 24
x = 4
89 + 5x - 8 + 51 + 3x + 4 = 360
7x + 136 = 360
7x = 360 - 136
= 224
x = 224 ÷ 7
x = 32
Which expression is equivalent to 16+ 2 ⋅ 36?
Answer:
88
Step-by-step explanation:
if you go by PEMDAS you would multiply 36 & 2 which is 72 then add 16 which gives you the answer 88 . Hope this helped!! :)
(4x+8)+(7x+3) help me!!!!
Answer:
Step-by-step explanation:
11x+11
Sally is currently working as a real estate agent at a local firm in Morris County. She is looking to promote the area and attract a new affluent clientele. Listed below are the prices of the last five home sales in the area and the descriptive statistics for those sales.
House A $200,000 Descriptive Statistics
House B $225,000 Lowest Price $200,000
House C $235,000 Mean Price $437,000
House D $275,000 Median Price $235,000
House E $1,250,000 Highest Price $1,250,000
What is the most ethical course of action Sally can take in advertising to potential clients?
a. Advertise that, "Homes in our area sell for over a million dollars!"
b. Advertise that, "Homes in our area sell for an average price of $437,000."
c. Advertise that, "Homes in our area sell for a median price of $235,000."
Answer:
c cuz a is misleading, b is misleading too as house e value is an outlier. so answer is c
What is the answer to 8/10 x 5/2
Answer:
your answer is 2!
Step-by-step explanation:
you have to make it an improper fraction once you do you get 2!
brainliest please>
Answer:
2
Step-by-step explanation:
8/10 = 0.8
5/2 = 2.5
0.8 x 2.5 = 2
The candy produced by a company has a sugar level that is normally distributed with a mean of 16.8 grams and a standard deviation of 0.7 grams. The company takes readings of every 10th bar off the production line. The reading points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4. Is the process in control or out of control and why?
Answer:
It is not in control because at least two of the of the data points are more than 2 standard deviations from the mean are far apart.
18.3,18.4 > 18.2 Upper Control limit
14.9, > 15.4 Lower Control Limit
Step-by-step explanation:
Find the limits using μ ± 3σ and μ ± 2σ
Using μ ± 3σ
Upper Control Limit = μ + 3σ = 16.8 + 3(0.7)= 16.8 + 2.1= 18.9
Lower Control Limit = μ - 3σ =16.8 - 3(0.7)= 16.8 - 2.1= 14.7
Using μ ± 2σ
Upper Control Limit = μ + 2σ = 16.8 + 2(0.7)= 16.8 + 1.4= 18.2
Lower Control Limit = μ - 2σ =16.8 - 2(0.7)= 16.8 - 1.4= 15.4
The data points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4.
Rearranging these data points 14.9, 16.1, 16.5, 17.3, 17.4, 18.3,18.4.
We see from the above that it is out of control because the values jump above and below the mean.
It is not in control as two of the of the data points are more than 2 standard deviations from the mean are far apart.
what is 3/4 divided by 1/6
0 3
0 4
0 4 1/12
0 4 1/2
Answer:
c
because i just did the test
2. Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation.
y = 4.5 when x = 3
a. k = 13.5; xy = 13.5
b. k = 1.5; y = 1.5
x
c. k = 1.5; y = 1.5x
d. k = 13,5; 13.5y = x
Answer:
Correct choice: a. k = 13.5; xy = 13.5
Step-by-step explanation:
Inverse Proportion
Two variables x and y are in inverse proportion or variation if:
[tex]\displaystyle y=\frac{k}{x}[/tex]
Where k is the constant of proportionality
Since we know that y=4.5 when x=3:
[tex]\displaystyle 4.5=\frac{k}{3}[/tex]
Solving for k:
[tex]k = 4.5*3 = 13.5[/tex]
Thus the equation is:
[tex]\displaystyle y=\frac{13.5}{x}[/tex]
Or, equivalently:
[tex]xy = 13.5[/tex]
Correct choice: a. k = 13.5; xy = 13.5
does anyone have an answer?
Answer:
A
Step-by-step explanation:
square root(2) times square root(18)
is square root(36)
which is 6, a rational number
Answer:
Your answer would be A
√2 × √18
Step-by-step explanation:
√2 × √18 = 6
That's rational number
hope it helps!
Marcus expects to earn about $10,000 in sales per month.
He can choose Salary A of $1,500 plus 5.5% of sales which will make him $2050 each month.
Salary B offers $2400 plus 3% of sales. How much does Salary B offer Marcus each month?
Which salary option should he choose: A or B?
Answer:
A
Step-by-step explanation:
5.5 x 2050 = 11,275
If you have a system of two equations with two unknowns and the two lines intersect on
the graph, the system has how many solutions?
If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.
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Answer: no solution
Step-by-step explanation:
In a dance contest in which 53,000 votes were cast, the winner received 3/5 of votes. How many votes did the winner not receive? (Incorrect solution: 3/5 x 53,000 = 3/5 x 53,000/1 = 3x53,000/ 5 x 1 = 31,800) ( explain error please and add correct work/solution and if you could share a strategy you used? Thanks!!)
Answer:
21,200
Step-by-step explanation:
Votes casted = 53000
Votes received = 3/5
Votes did not receive = 1- 3/5 = (5-3)/5 = 2/5
Total votes not received by winner
= 53000 *2/5
= 10,600 * 2
= 21,200
im doing a review for my class I've blurred my name but im struggling getting to understand some of these
CAN SOMEONE PLEASE HELP ME I DONT UNDERSTAND THIS PLEASE HELP MEEE
??????????????????? I do not understand I do not understand I do not understand
50 points please help :(
[tex] \frac{(y - 1) {}^{2} }{9 } - \frac{( {x - 2)}^{2} }{100} = 1[/tex]
[tex] \frac{(y { - 1)}^{2} }{ {3}^{2} } - \frac{ {(x - 2)}^{2} }{ {100}^{2} } = 1[/tex]
[tex]( \frac{y - 1}{3} {)}^{2} - ( \frac{x - 2}{10 } {)}^{2} = 1[/tex]
Answer: 5 38 7
the reason is because add and multiply the check with division while also using radious
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Please help me with this
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it will help with everything better if you go on
help its 50 percent of my grade
Answer:A=144 P=40
Step-by-step explanation:
Answer:
Area is [tex]96^{2}[/tex] feet
Perimeter is 40ft
Please help timed :( 30points
Calculus BC
A screenshot of the problem is attached.
Use properties of Logarithms to simplify the limit:
[tex]\lim_{x \to \0^+}[/tex]e^3/x(e^x+x)
Move the limit to the exponent:
e^x[tex]\lim_{x \to \0^+}[/tex]3/xln(e^x+x)
Rewrite as:
e^x[tex]\lim_{x \to \0^+}[/tex]3ln(e^x+x)/x
Move 3 outside the limit and applay L'hospitals rules to get the final answer e^6
ASAP Find the slope of The ordered pairs (0,-17),(2,13)
Answer:
m=15
Step-by-step explanation:
Answer:
1 5
Step-by-step explanation:
Which Baroque form was based on sacred texts?
O Prelude
O Opera
O Instrumental suite
O Oratorio
Answer:
It's oratorio
Step-by-step explanation:
Because i put in some research.
PLEASE HELP!!
adding and subtracting complex numbers
1-) (12-3i)+(7+3i)
2-). (12+4i)-(3-7i)
Step-by-step explanation:
1) 19+i
2) 9-3i
hope this helps bro
Answer:
1. 19
2. 9 + 11i
Step-by-step explanation:
first problem:
first, we rewrite it and remove the parentheses.
12 - 3i + 7 + 3i
then, just remove the opposites and calculate.
19
second problem:
again, we rewrite and remove the parentheses.
12 + 4i - 3 + 7i
then, we calculate and collect like terms.
9 + 11i
Each cup costs $6 and each bowl costs $10.if you want to spend exactly $72,which equation in standard form models this situation.let c represent the number of cups you buy,and b represent the number of bowls you buy
Answer: 72=6c+10b
Step-by-step explanation:
Write the equation of the line that passes through the points (-7,1) and (7,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y-1=-1/2(x+7)
Step-by-step explanation:
Find the slope first using the slope formula.
y2-y1/x2-x1
-6-1/7--7
-7/14
Slope is -1/2
Now choose one of the coordinates and put it in point-slope form.
y-1=-1/2(x+7)
Please help fast.
Answer the question below:
Which quadratic equation has roots - 2 and 1/5 :
Answer:
[tex]5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]
Step-by-step explanation:
[tex]sum \: of roots = - 2 + \frac{1}{5} = - \frac{8}{5} \\ product \: of \: roots = - 2 \times \frac{1}{5} = - \frac{2}{5} \\ from \: general \: equation \\ a {x}^{2} + bx + c = 0 \\ {x}^{2} + \frac{8}{5} x \: - \frac{2}{5} = 0 \\ 5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]