I'm just gonna so you how I got it
Step-by-step explanation:
6x - 3y - 5 = 0 has slope 6/3 = 2. A perpendicular line will have slope -1/2 (since slopes of two perpendicular lines must have a product of -1), so its general form will be 3x + 6y - a = 0.
Now to find a. We know a point on the line, (4,10), and so we plug those coordinates in:
3*4 + 6*10 - a = 0
12 + 60 - a = 0
72 = a
3x + 6y - 72 = 0.
We can simplify this by dividing all numbers by 3, getting:
x + 2y - 24 = 0
evaluate (11.6)^2 by using (a^2+b^2+2ab)
Answer:
[tex]134.56[/tex]
Step-by-step explanation:
Break 11.6 into addenda.
[tex](11 + 0.6)[/tex]
Apply the binomial expansion method.
[tex](11 + 0.6)(11 + 0.6)[/tex]
[tex]11 {}^{2} = 121[/tex]
[tex]2(11)(0.6) = 13.2[/tex]
[tex]0.6 {}^{2} = 0.36[/tex]
Add them all up and you get.
[tex]134.56[/tex]
Kepa has the flu, and he is concerned that he will not pass the mathematics exam. If the following three statements are true, will Kepa pass the exam?
i) Kepa will not fail the mathematics exam if he finishes his computer program.
ii) If he goes to the theatre, he does not have the flu.
iii) If he does not go to the theatre, he will finish his computer program
Answer:
Yes
Step-by-step explanation:
II is already false because Kepa can only go to the theatre if he doesn't have the flu. However, he does, so he cannot go. Then, if Kepa cannot go to the theatre, he will have to finish his computer program. Lastly, if the computer program is finished, Kepa will at least pass the exam.
Answer:
yes, if the computer program he will pass. he shouldn't go to the theatre if he has the flu or not cause hes been sick either way.
A law firm ordered 90 boxes of paper clips. There were 80 paper clips in each box. How many
paper clips did the law firm order in all?
Answer:
7200
Step-by-step explanation:
80*90=7200
Answer:
7,200 paper clips
Step-by-step explanation:
80*90=7,200
what is the effect on the graph of f(x)= 1/x when it is transformed to g(x)= 1/x-7?
A. The graph of f(x) is shifted 7 units up
B. The graph of f(x) is shifted 7 units to the left
C. The graph of f(x) is shifted 7 units down
D. The graph of f(x) is shifted 7 units to the right
Answer:
Answer:
C. the graph of f(x) is shifted 7 units down
Help me with this question please
Select the compound inequality shown on the graph. -5 -4 -3 -3 -2 -1 0 1 2 3 4 5 5 o A. x>-1 and x 4, or -1 -1 and x < 2, or -1 -1 and x = 5, or -1
Answer:
c
Step-by-step explanation:
c is the only one containing the number three, which is shown on the graph.
Determine the amplitude or period as requested. Amplitude of y = 1/2 * cos 5x
Answer:
The amplitude is [tex]\frac{1}{2} = 0.5[/tex]
Step-by-step explanation:
Trigonometric function:
A trigonometric function has the following format:
[tex]A\sin{bx}[/tex] or [tex]A\cos[bx}[/tex]
In which the amplitude is A and the period is [tex]\frac{2\pi}{b}[/tex]
Amplitude of y = 1/2 * cos 5x
The multiplier is 1/2, so this is the amplitude.
Find the distance between the points (-4, 3) and (3, 3).
Answer:
great job
Step-by-step explanation:
help plss will give brainly promise
Answer:
101
Step-by-step explanation:
Question 5 of 10
The function f(x) = 2X is shifted 4 units left. The result is g(x). What is g(x)?
O A. g(x) = 2x + 4
O B. g(x) = 2X – 4
C. g(x) = 2x - 4
D. g(x) = 2x + 4
Answer:
None
See below under Remark.
Step-by-step explanation:
When you shift left, you think of moving in the negative direction. But it is not shown that way. You need to show what happens when you substitute a value in for x. Usually a graphing program helps to show which choice is right.
g(x) = f(x+4) = 2(x + 4)
None of the choices are this result, so we have to assume that the brackets were just omitted. The graph below shows what the answer given is the correct one.
Remark
Look at the graph carefully. The red line is f(x) = 2x
The blue line is g(x) = f(x-4) = 2(x - 4)
Notice that g(x) has shifted 4 units to the left. The x intercept has gone from 0,0 to (-4,0) and is so labeled.
If you have an answer with brackets around (x + 4) that's the one you choose. It needs the 2 outside the brackets.
A shop advertised "Everything half price
in our sale”, but also now advertises that
there is "An additional 15% off sale
prices":
Overall, this is equivalent to what
reduction on the original prices?
Your answer would be 57.5%.
What is the value of f(3) in the function below?
F(x) = 1/4 • 2^x
Answer:
Value is 2
Step-by-step explanation:
f(3)= 1/4 x 2^(3) ------- 2 x 2 x 2= 8
1/4 x 8 = 8/4 = 2
please I need to answer three brainliest questions
what question? where is the question???????????????????????????????????????????????????
Dominic invested $93,000 in an account paying an interest rate of 6.8% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $202,800?
Answer:
11
Step-by-step explanation:
Find the length of the rectangular prism if the volume is 66 and width is 3 and height is 2
Answer:
l=11
Step-by-step explanation:
w Width
3
h Height
2
V Volume
66
Plz show work. Need help fast please please.
Step-by-step explanation:
10:
[tex] \sqrt{50} = \sqrt{2 \times 25} = \sqrt{2} \times \sqrt{25} = \: 2 \times \sqrt{5} [/tex]
11:
[tex] \sqrt{88} = \sqrt{4 \times 22} = \sqrt{4} \times \sqrt{22} = \: \: \: \: \: 2 \times \sqrt{22} [/tex]
12:
[tex] \sqrt[3]{54} = \sqrt[3]{ {3}^{3} \times 2} = \sqrt[3]{ {3}^{3} } \times \sqrt[3]{2} = \: \: \: \: \: 3 \times \sqrt[3]{2} [/tex]
What is the approximate value of Log Subscript 6 Baseline 25? 0.233 0.557 0.620 1.796
Answer:
1.796 d
Step-by-step explanation:
The approximate value of Log subscript 6 baseline 25 (Log₆ 25) is 1.796
AssumptionLet Log₆ 25 be x
How to determine the value of xLog₆ 25 = x
25 = 6ˣ
Take the log of both side
Log 25 = Log 6ˣ
Log 25 = xLog 6
Divide both side by Log 6
x = Log 25 / Log 6
x = 1.796
Thus,
Log₆ 25 = x
Log₆ 25 = 1.796
Learn more about logarithm:
https://brainly.com/question/7302008
Frank is going to plant x vegetable seeds in one garden and 3x+7 vegetable seeds in another. How many seeds is Frank going to plant?
Answer:
no. of plants frank plants in one garden = x vegetables
no. of plants frank plants in another garden = 3x + 7
total no. of plants frank plants = x + 3x + 7 = 4x + 7
hope this answer helps you.....
please mark as brainliest.. thank you!
PLEASE HELP EXTRA POINTS AND BRAINLIEST, NO LINKS
The dot plot below shows the number of excused absences students in Mr. Beckett's class have.
What is the median number of excused absences?
A. 2
B. 3
C. 2.5
D. 1.5
Answer:
D. 1.5
Step-by-step explanation:
The median number of excused absences from given data is 1.5.
We have given that,
The dot plot below shows the number of excused absences students in Mr. Beckett's class have.
We have to determine the median
What is the median?
The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as the middle value.
Therefore the median number of excused absences from given data is 1.5.
Therefore option D is correct.
To learn more about the median visit:
https://brainly.com/question/26151333
#SPJ2
si el impuesto sobre ventas de un DVD de $16.00 es 1.40$ ¿a cuanto ascendería el impuesto sobre ventas de un reproductor Blue-ray de $120.00?
Step-by-step explanation:
okay Hoy quiere algún Mando único
Question
A shirt is on sale for 15 percent off the original price of x dollars. If a customer has a coupon for 5 dollars off the sale price, which of the following represents the price, in dollars, the customer will pay. excluding tax, for the shirt?
0.15x -5
O 0.85x -5
0.85(x - 5)
5-0.85x
Answer:
.85x-5
Step-by-step explanation:
If you say .15x suppose x is 1
.15*1= .15
Is 15% off 1 = .15 no its .85 thats why in these types of problems we do 100%-15%=85% and then .85*x
After deducting the discounts given to the customer, the current price the customer will pay is $(0.85x - 5).
Given parameters:
discount rate of the shirt, = 15%
original price of the shirt, = $x
additional discount on the sales price = $5
To find:
the current price the customer will payNote: the original price of the shirt = 100% of x
The current price of the shirt = original price - given discounts
The current price of the shirt = 100%x - 15%x - 5The current price of the shirt = 85%x - 5Convert the percentage to decimal by dividing it by 100
The current price of the shirt becomes 0.85x - 5Thus, after the discount the customer will pay $(0.85x - 5)
Learn more here:https://brainly.com/question/22094937
Which of these equations shows a proportional relationship between x and y
F. y=-1/3x
G. y=-x+1
H. y=3/2x+3/2
J. y=2x-4
Answer:
it is H any help I'm glad to help
A piecewise function is given.
Find f(-4)
Answer:
3
Step-by-step explanation:
For x<=0, f is constant: f(x) =3
-4<0, so f(-4)=3
The volume of the rectangular prism is 312 cm2 h 4 cm 6 cm What is the height of the prism? Height = cm
Answer:
h=13
Step-by-step explanation:
volume=w*h*l
312=(4)(6)(X)
Jamie buys a new fish tank, which is 55 cm long, 25 cm wide and 40 cm high. He needs
to fill the tank with water that has to be 35 cm deep. How much water does he need to fill
the tank, if 1000 cm = 1 litre? Give your answer rounded to the nearest litre.
Answer:
0.155litre
Step-by-step explanation:
55+25+40+35=155cm
100Cm=1litre
155cm_ ?
155cm×1litre/1000cm
0.155Litre
(MATH) (6) ((PHOTO))
label is in cubed
what two steps are necessary to put this equation into standard form? x^2-3x+27=8x-3
Answer:Add 3 to both sides and subtract 8x from both sides.Step-by-step explanation:The standard form of a quadratic equation isHere a should not be zero.Now, we have to write the given equation in this formwe have to take 8x and -3 to the left side of the equation in order to write the equation in standard form.Therefore, we have to subtract 8x and add 3 to both sides of the equation.When we do this operation, we'll get the equation in standard form which is given byHence, option is correct.Add 3 to both sides and subtract 8x from both sides.
use the graph of the function f shown to determine the y intercept
Answer:
That's hard wish you the best tho.
Step-by-step explanation:
A pair of laces has a price tag of $7.00. The sales tax is 0.08 on every $1 . Which is the total price of the laces?
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
• 7 cm and 2 cm
•
8 cm and 9 cm
Answer:
8cm and 9cm
Step-by-step explanation:
8cm and 9cm would be the two possible lengths for the triangle because for the triangle to work you need the other two other sides when added together needs to be greater then 13. Furthermore 5 + 8 = 13 and as 13 is the same length as the one side that is given, a triangle couldn't possibly be formed as it would just be a straight line. Moreover, this is the same with 6 + 7 which is also 13. 7 + 2 is 9 and because 9<13 a triangle couldn't possibly be formed. Finally, 8 + 9 which equals to 17 are the only two possible lengths for the triangle as 17 > 12.