Answer:
y=-3x+5
Step-by-step explanation:
y²-y¹=gradient
x²-x¹
6-7=gradient
-3+6
-1/3=gradient
y-6/x+3=-1/3
y-6=-1/3(x+3)
y-6=-1/3x-1
y=-1/3x+5
a cyclist rides his bike at a rate of 10 miles per hour. what is this rate in kilometers per hour? how many kilometers will the cyclist travel in 4 hours? in your computations assume that 1 mile is equal to 1.6 kilometers. DO NOT ROUND YOUR ANSWER
Answer:
64
Step-by-step explanation:
speed of cyclist = 10 miles per hour
given 1 mile is equal to 1.6 kilometres.
1*10 miles will be equal to 1.6*10 kilometres
thus , 10 mile is equal to 16 kilometres
using 16 km in place of 10 miles in 10 miles per hour
we have
speed of cyclist = 16 kilometres per hour
we know that distance = speed * time
speed is 16 kilometres per hour
time 4 hours
thus , distance = 16*4 kilometres= 64 kilometres.
cyclist will travel 64 kilometres in 4 hours.
A piece of duct measures 48 inches. When pieces are fitted together, 1 12
inches is lost connecting each successive length of duct. On the job 7 and
12 pieces of ducting are used. What, in inches is the total length of the
finished duct?
Answer:
A piece of duct measures 48 inches.
In each connection, we lost 1 1/2 inches (i guess that it is what you wanted to write)
Then:
If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them, so the number of connections is equal to the number of ducts minus two.)
So here we have 7 times 48 inches for the pieces, minus 5 times 1 1/2 in (i will write 1 1/2 = 1 + 0.5 = 1.5 in, so the math is easier) for the connections, the length is:
L = 7*48in - 5*1.5in = 328.5 inches.
for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:
L = 12*48in - 10*1.5in = 561 in
Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.5in of the new connection:
L = 561in + 328.5in - 1.5in = 888in
QUESTION 3 (3 points)
Convert the following quadratic into standard form. Show all work.
f(x) = 3(x - 5)² - 40
Answer:
3x^2- 30x+35=f(x)
Step-by-step explanation:
3(x^2+25-10x)-40
3x^2+75-30x-40
3x^2- 30x+35=f(x)
Calculate the slope between the points (5,2) and (1,-6).
Answer:
2
Step-by-step explanation:
The slope formula is change in y over change in x, in this case it's [tex](2-(-6))/(5-1) = 8/4 = 2[/tex]
Answer:
go to ur right 5 up 2 the put a dot then for the other one go to ur right one time then down 6
Step-by-step explanation:
Find the volume. :D (MARKING BRAINLIEST)
Answer:
720 cubic units
Step-by-step explanation:
Answer:
360 cubic units
Step-by-step explanation:
volume of prism = area of base * height of prism
The base is a triangle with base = 6 ad height = 8
area of triangle = bh/2
V = bh/2 * height of prism
V = 6 * 8/2 * 15
V = 360 cubic units
A girl is on a train that is headed East at 100 miles per hour. The girl is walking at 5 miles per hour
toward the back of the train.
1.
What is the speed and direction of the train if the girls is the frame of reference?
Answer: The speed is 105 miles/ hr and the direction of the train would be East if the girl is the frame of reference.
Step-by-step explanation:
Since we have given that
Speed of train = 100 miles per hour
Speed of girl = 5 miles per hour
Since the girl is moving towards the back of train.
So,it means train and girl are moving in opposite direction.
So, Relative speed would be
[tex]100+5=105\ miles/hr[/tex]
Hence, the speed is 105 miles/ hr and the direction of the train would be East if the girl is the frame of reference.
Given what is the domain in set notation? {x|x ∈ R, x ≥ 4} {x|x ∈ R, x ≤ 4} {x|x ∈ R, x ≥ 2} {x|x ∈ R, x ≤ 2}
Answer:
A
Step-by-step explanation:
answer on edg 2020
Test each of the following for divisibility by 2, 3, 4, 5, 6, 8, 9, and 10.
2) 620
1) 346
3) 3,420
4) 8,244
plz do both ill mark u brainliest
Answer:
1. C
2. A
Step-by-step explanation:
Hope these are right!
Answer:
Question 16's answer is choice B. divide both sides by 6
Step-by-step explanation:
6a=27
You need to get the variable by it's self so you need to divide both sides by 6 because the 'a' is being multiplied by 6 on the left side.
Answer:
Question 25's answer choice is B. 5
Step-by-step explanation:
1 3/4 + 5/6 =
7/4 + 5/6 =
21/12 + 10/12 = 31/12 = 2 7/12 = round to nearest whole number 3 so about three pizzas were eaten! so subtract 3 from 8 to get 5 pizzas left! :)
Good luck! Have a great day! Hope this helps!
(SHORT ANSWER IS BOTH QUESTIONS ARE B) LOL! ;)
Find the discriminant: *
7x2 – 5 = 2x + 9x2
Answer:
-36
Step-by-step explanation:
You have to rearrange the quadratic into an equation where one side is zero.
This example works by subtracting 7x^2 from both sides leaving
-5 = 9x^2 - 7x^2 + 2x
-5 = 2x^2 + 2x
Now add 5 to both sides
-5 + 5 = 2x^2 + 2x + 5
0 = 2x^2 + 2x + 5
Now the equation you gave is in the form of a quadratic. The discriminate is found from
a = 2
b = 2
c = 5
b^2 - 4ac is the discriminate
2^2 - 4(2)(5)
4 - 40
Discrimate = 4 - 40 = - 36
6. Mr Chua's car consumes petrol at an average rate
of 8 litres daily. Before Mr Chua begins his journey,
he tops up the petrol in his car to 100 litres. Given
that he will next top up the petrol in his car when
there are 20 litres left, form an inequality and solve
it to find the maximum number of days he can travel
before he has to top up the petrol in his car. 10
Answer: He can travel up to 9 days before he has to top up the petrol in his car.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The petrol available (100) minus the amount that his car consumes per day (8x) must be higher to 20 (liters left)
Mathematically speaking:
100- 8x > 20
Where x is the number of days.
Solving for x:
100-20>8x
80 > 8x
80/8> x
10>x
x <10
x must be less than 10 days .
He can travel up to 9 days before he has to top up the petrol in his car.
i need to fill in the blanks for these
Answer:
the median for A is 26 and the mean for B is 24
Step-by-step explanation:
since 24 and 28 are both in the middle we need to find the mean of 24 and 28 to find A's median.
18+19+21+25+29+32=144
144 divided by the # of terms 6 gives our mean 24 for B.
HELP PLEASE!!! What is the best description of the transformation shown?
Answer:
reflection over the x-axis
Answer:
Reflection over the x axis
Step-by-step explanation:
The image is a mirror image across the x axis. Think of it as folded across the x axis. It looks identical
Identify a transformation of the function f(x) = sqrt(x) by observing the equation of the function g(x) = sqrt(x) + 1
Answer:
up 1
Step-by-step explanation:
The plus one is on the outside so it is up the number which is one
8-2x<4 solve inequality
Answer:
x > 2
x ∈ ( +2 ; + oo )
Step-by-step explanation:
8 - 2x < 4
8 - 4 < 2x
4 < 2x | : 2
2 < x
x > 2
x ∈ ( +2 ; + oo )
Help pure people only
Answer:
Mini golf costs $10 per round and batting cages cost $2.5 each turn.
Step-by-step explanation:
mini golf ([tex]m[/tex])
batting caves ([tex]b[/tex])
Sylvester:
[tex]5m+4b=60[/tex]
Lin
[tex]3m+6b=45[/tex]
System of equations:
[tex]$\left \{ {{5m+4b=60} \atop {3m+6b=45}} \right. $[/tex]
[tex]$\left \{ {{5m(-3)+4b(-3)=60(-3)} \atop {3m(5)+6b(5)=45(5)}} \right. $[/tex]
[tex]$\left \{ {{-15m-12b=-180} \atop {15m+30b=225}} \right. $[/tex]
[tex]18b=45[/tex]
[tex]b=2.5[/tex]
Now let's find [tex]m[/tex]
[tex]3m+6(2.5)=45\\3m+15=45\\3m=30\\m=10[/tex]
What is the sum of 3 times a number and 2
Answer:
3x+2
Step-by-step explanation:
I believe you asked for the equation
the vertex of this parabola is at (3,-2). When the x-vaue is 4, the y-value is 3. What is the coefficient of the squared expression in the parabola equation?
=========================================================
Explanation:
Vertex form is
y = a(x-h)^2 + k
We are told the vertex is (3,-2), so we know (h,k) = (3,-2)
y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2
--------
Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'
y = a(x-3)^2 - 2
3 = a(4-3)^2 - 2
3 = a(1)^2 - 2
3 = a - 2
3+2 = a
5 = a
a = 5
This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.
Can somebody help me please
Answer:
800
Step-by-step explanation:
900-100= 800
Therefore, the difference is 800. I hope this helps, have a great day!!!
Answer:
800
Explanation:
When solving this problem we need to remember that it is asking us to find how much money she gained throughout the day, NOT the total amount she had at the end of the day. To find how much money she gained, simply subtract one hundred by nine hundred.
900 - 100
800
Therefore, $800 was the change in how much money she had.
Which cylinder has the greatest volume?
1.a cylinder with a height of 9 cm and a radius of 9 cm
2.a cylinder with a height of 12 cm and a radius of 6
3.a cylinder with a height of 6 cm and a radius of 12
cm
4.a cylinder with a height of 15 cm and a radius of 3
Answer:
3
Step-by-step explanation:
because the raidus of 12 and 6 cancel
The math club needs to raise more than $552.50 for a trip to the state competition. The club
has raised 12% of the funds. Which inequality shows how much money each of the 7 club
members needs to raise if each raises the same amount?
A
m< $69.45
В
m> $69.45
C
m<$72.35
D
m> $72.35
Answer:
A or B
Step-by-step explanation:
Leaning more towards B- u want the club to earn more not less
The correct inequality is m> $69.45
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
The math club needs to raise more than $552.50 for a trip to the state competition.
The club has raised 12% of the funds.
To represent the inequality we have to perform the following function
=552.50 x 0.12
=66.3
The amount remained= 552.50 - 66.3 = $486.2
So, for the 7 members = 486.2/7
= $69.45
Hence, the inequality is m>$69.45
Learn more about inequality here:
https://brainly.com/question/28823603
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Write this polynomial in descending order: –4x5 + 4x3 + x7 – 10 + 2x4
I need some help for some questions.. (:
Answer: :
x7 –4x5 + 2x4+ 4x3 + x7 – 10
What is the most efficient way to solve this equation?
18c = 108
Divide both sides by 18
Multiply both sides by 108.
Multiply the left side by 18.
Divide both sides by c.
Please don’t guess :(
Answer:
Divide both sides by 18
Step-by-step explanation:
This is the most efficient way to solve this equation because you can find the variable (c) in one step.
PLEASE HELP! ILL GIVE WHOEVER ANSWERS BRANLIEST!
Question 1). Mrs. Cruz randomly surveyed 25 of her 125 students about their pets. Her survey indicated that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Cruz’s best estimate of the total number of her students who have a dog? Justify your answer.
Answer: 70 I’m almost certain
Step-by-step explanation: 14 out of the 25 kids have a dog now if you were to have 125 kids which if 5 times the first 25 kids it would be 14x5 which is 70
Line parallel to y-1=4(x+3) and passes through (4,32)
Answer:
y - 32 = 4(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 1 = 4(x + 3) ← is in point- slope form
with slope m = 4
Parallel lines have equal slopes.
Using m = 4 and (a, b) = (4, 32), then
y - 32 = 4(x - 4) ← equation of parallel line
Pls, help! I really need it! THANKS!! I'm giving 15 points + BRAINLIEST
THANK YOU NOW PLS HELP ME
Answer:
k= 112
Step-by-step explanation:
12y = 7z
y= 7z/12
_________
3x =8y
3x= 8× 7z/12
3×=56z/12
36x=56z
x=56z/36
_________
zk=72x
zk= 72 ×(56z/36)
k= (72×56)/36
k=112
Rewrite each of the following questions as a statistical question. I WILL GIVE BRAINLIEST!!
a. How many pets does your teacher have?
b. How many points did the high school soccer team score in its last game?
c. How many pages are in our math book?
d. Can I do a handstand?
Answer:
How many pets do my teachers have?
How many points did the high school soccer team score in its last few games?
Which of our school books has the most pages?
How many handstands can I do in 10 mins?
Step-by-step explanation:
To turn a question into a statistical question, make the question so that you can collect more than one piece of data. This is what makes a statistical question statistical.
The Statistical question are:
How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?What is Statistical Question?A statistical query will ask a question with a variable response. After collecting and analysing data, the answer might provide an interpretation of the information.
A statistical question is one that can be answered by gathering varying amounts of data.
Make the question so that you can collect more than one piece of data to convert it into a statistical query.
So, the Conversion into statistical question are
How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?Learn more about Statistical Question here:
https://brainly.com/question/23257294
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What is the slope of the line containing (-1,8) and (3, -12)?
Answer:
-5
Step-by-step explanation:
We can find the slope since we have two points
m = (y2-y1)/(x2-x1)
= (-12-8)/(3 - -1)
= (-12-8)/(3+1)
= -20/4
= -5
Answer:
-5
Step-by-step explanation:We can find the slope since we have two points
m = (y2-y1)/(x2-x1)
= (-12-8)/(3 - -1)
= (-12-8)/(3+1)
= -20/4
= -5
A card is picked at random from the following set: 6, 7, 8, 9. What is P (9)? Write your answer as a percentage.
Answer:
25% = (p) 1/4 = picking a number 9.
(p) 1/4 = 0.25 (results getting a number more than 8 or just getting 9
This is add rule from the 4 card set.
1/4 + 0 + 0 + 0 = 1/4
Because each (P) is equal and shows (P); 1/4
there are 1 event so 1/4 + 0= 1/4 = 0.25%
Step-by-step explanation:
0.25 x 100 = 25%
Answer:
25%
Step-by-step explanation:
there are 4 options so there are 25% chance it will be 9
what are the factors of -24x^3y^2z
a) 8
b) -8
c) x^5
d) z^2
Answer:
B
Step-by-step explanation:
