[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Straight lines.
Since the slope of the line, m = -1/2
and we know that, line equation is, y=mx+c
so the answer is, option 1.)
1.) y-4 = -1/2 (x+6)
The cost $y$ (in dollars) to rent a kayak is proportional to the number $x$ of hours that you rent the kayak. It costs $27 to rent the kayak for 5 hours
Note: Consider we need to find the constant of proportionality.
Given:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
It costs $27 to rent the kayak for 5 hours.
To find:
The constant of proportionality.
Solution:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.
[tex]27=k(5)[/tex]
Divide both sides by 5.
[tex]\dfrac{27}{5}=k[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].
Completely factor f(x)=2x^4+11x^3+2x^2-15x given that f(-3/2)=0
Due today please help
Answer:
There isn't a picture
Step-by-step explanation:
Diego is thinking of two positive numbers. He says, "If we triple the first number and double the second number, the sum is 34." a. Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of. b. Diego then says, "If we take half of the first number and double the second, the sum is 14." Write an equation that could represent this description. c. What is Diego's two numbers? Explain or show how you know. A coordinate plane is given here, in case helpful.
Answer:
x = 8
y = 5
Step-by-step explanation:
Let
x and y = the two positive numbers
a. 3x + 2y = 34 (1)
b. 1/2x + 2y = 14 (2)
Solve the simultaneous equation
3x + 2y = 34 (1)
1/2x + 2y = 14 (2)
Subtract (2) from (1)
3x - 1/2x = 34 - 14
6x-x/2 = 20
5/2x = 20
x = 20 ÷ 5/2
= 20 × 2/5
= 40/5
= 8
x = 8
Substitute x = 8 into (1)
3x + 2y = 34 (1)
3(8) + 2y = 34
24 + 2y = 34
2y = 34 - 24
2y = 10
y = 10 / 2
= 5
y = 5
Diego's two numbers are 8 and 5 respectively
Which equation represents a line which is parallel to the line 3x + 8y = - 40 ?
Step-by-step explanation:
3x + 8y = -40
8y = -40 - 3x
y = -5 - 3/8x
y = -3/8x - 5
Equation that represents a line which is parallel to y = -3/8x - 5 can be any equation as long as it's y = -3/8x + c, as in c can be any value as long as the other parts of the equation is not changed
Plzzzz helpppp thank uuuuuuu
Answer:
ewanjehehehehejejejjejshs
Robert says he needs 250 plastic sleevs for his basball card collection.He has 3084 baseball cards.Each sleev holds 12 cards do you agree whith robert
Answer:
No
Step-by-step explanation:
Given that:
Plastic sleeves needed = 250
Number of baseball cards = 3084
Sleeves held per card = 12
To determine the number of sleeves needed ;
Number of baseball cards / number of sleeves per card
= 3084 / 12
= 257
No, I do not agree with Roberts, from the calculation above, the number of plastic sleeves needed is 257
Lines g and h are parallel. What is the measure of ∠QRS?
Answer:
is there a diagram
Step-by-step explanation:
Which expression is equivalent to 735 ÷ 100?
7.35 ÷ 1000
735 x 0.01
735 x 0.001
73.5 ÷ 100
Answer:
735x0.01
Step-by-step explanation:
There are some nickles,dimes and quarters in a large piggy bank.For every 2 nickles there are 3 dimes.For every 2 dimes there are 5 quarters.There are 500 coins total.How many Nickles,Dimes and Quarters are in the piggy bank?
Answer:
I have no clue
Step-by-step explanation:
0.2(10-5c)=5c-16
solve the iniquality
2 × 10 + 10 – 8 = ? show work
Help me this is so hard I’ll give u brainlist
Answer:
I'm sorry, I speak Spanish, forgive me
0.3x-2.4=1.25x
How to solve
Answer:
hi
Step-by-step explanation:
0
.
3
−
2
.
4
=
1
.
2
5
0.3x-2.4=1.25x
0.3x−2.4=1.25x
3
1
0
−
2
.
4
=
1
.
2
5
Answer:
x = -2.52631578
Step-by-step explanation:
Combine multiplied terms into a single fraction.
0.3x - 2.4 = 12.5x
3x/10 - 2.4= 1.25x
Again, combine multiplied terms into a single fraction.
3x/10 - 2.4= 1.25x
3x/10 - 2.4 = 5x/4
Add 2.4 to both sides of the equation
3x/10 - 2.4 = 5x/4
3x/10 - 2.4 + 2.4 = 5x/4 + 2.4
Simplify (Add the numbers)
3x/10 = 5x/4 + 2.4
Multiply all terms by the same value to eliminate fraction denominators.
3x/10 = 5x/4 + 2.4
2 x 2 x 5 x 3x/10 = 2 x 2 x 5(5x/4 +2.4)
Therefor, x = 2.52631578
Hope this helps, have a great day! :)
Calculate the area of the triangle:
A=
(-2, 6)
(-2, 0)
(7,-5)
Helppp ASAP
Answer:
I got 27 as an answer
Step-by-step explanation:
Answer:
I hope this may help you ...
Shawn uses 45N of force to stop the cart 1 meter from running his foot over. How much work does he do?
Answer:
[tex]\boxed {\boxed {\sf 45 \ Joules}}[/tex]
Step-by-step explanation:
Work can be found by multiplying the force by the distance traveled in the direction of the force.
[tex]W=F*d[/tex]
The force is 45 Newtons.
The distance traveled is 1 meter.
[tex]F=45 \ N \\d= 1 \ m[/tex]
Substitute the values into the formula.
[tex]W=45 \ N * 1 \ m[/tex]
Multiply.
[tex]W=45 \ N*m[/tex]
1 Newton meter is equal to 1 Joules.
Therefore our answer of 45 Newton meters is equal to 45 Joules.
[tex]W= 45 \ J[/tex]
The work done is 45 Joules.
Step-by-step explanation:
[tex]\sf Required\:Answer\begin{cases} \sf Force_(f)=45N \\ \sf Distance_(d)=1m \\ \sf As\:we\:know\:that \\ {\boxed{\sf Work_(w)=Force_(f)\times Distance_(d)}} \\ \sf W=45 \times 1Nm \\ \sf =45Nm \\ \longrightarrow {\underline{\boxed{\bf W=45Joule}}}\end {array}[/tex]
slope of - 1/2 and y-intercept of 3
Answer: 5/2
Step-by-step explanation:
6. Consider the inequality 12<-3 (x + 4). Which value of x is part of the solution set of this inequality?
Answer:
-8
Step-by-step explanation:
12<-3 (x + 4)
1. distribute to the -3 to the x and 4 and should get
-3*x = -3x
-3*4 = -12
12< -3x - 12
2. now you get rid of the common factors which is -12 so add 12 to both sides and should get
-12+12=0
12+12=24
24< -3x
3. to get x by itself you will have to get rid of -3, so how to do that is divide -3 to both side and should get
-3x/-3= x
24/-3= -8
-8<x
GYM MEMBERSHIP The cost of a gym membership is $75 plus $30 per month. The equation that represents this equation is y=30 x+75, where x is the number of months and y is the cost. Find and interpret f(12).
Answer:
x = no.of months
y = cost
f(12) = 30x+75
f(12) = 30(12)+75
f(12) = 360+75
f(12) = 435
Therefore it cost him $435 in 12 months.
It will cost him $435 in 12 months or the value of f(12) is $435.
It is given that cost of gym membership is $75 plus $30 per month and the equation representing it is y = 30x + 75.
We have to find the value of f(12) or cost of gym after 12 months.
What do you mean by domain and ranges of a function ?
The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.
As per the question ;
The cost of gym membership is $75 plus $30 per month.
and
The given equation is ;
y = 30 x + 75
where ;
x = no. of months
and
y = cost
So , we can find out the value of f(12) as ; y = f(x) = f(12)
⇒ f(12) = 30x + 75
⇒ f(12) =( 30 × 12 ) + 75
⇒ f(12) = 360 + 75
⇒ f(12) = 435
Thus , it will cost him $435 in 12 months or the value of f(12) is $435.
To learn more about functions click here ;
https://brainly.com/question/23104523
#SPJ2
10. Write an equation that represents the situation below. Then give a different combinations of coins that are possible, a piggy bank contains only dimes and quarters. The total amount inside the bank is $6.25.
If Blake wanted to use the Substitution method to solve the following system of equations, what could be a good first
step?
31 + 4y=17
2 + 6y=24
A Cancel out the "x" terms
B Multiply the second equation by (-3)
Add 3 to the second equation
Solve the second equation for x
Answer:
solve the second equation for x
If you want to buy an item in a store that costs $32.50 and is on sale for 30% off, then how much would the item actually cost you after the discount? Round to the nearest cent.
Answer:
22.80
Step-by-step explanation:
100% - 30% = 70% that you'll be paying
70% = [tex]\frac{70}{100}[/tex] = 0.7
0.7 * 32.50 = 22.75
Round to nearest cent: 22.8
y=2x+10 in standard form
Answer:
2x-y=-10
Step-by-step explanation:
I'm assuming by standard form you mean
Ax+By=C
Ax⇒2x
By⇒-y
C=-10
2x-y=-10
Using the periodic table, choose the more reactive nonmetal.
Si or S
Answer:
S
Step-by-step explanation:
S is closer to the top right of the table, which is a generally good rule for determining reactivity of NONMETALS. METAL reactivity increases to the bottom left.
32x + 342x thhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
374x
brrrrrrrrrrrrruhhhhhhhhhhhhhh
Answer:
374x
Step-by-step explanation:
Just add 32 and 342 together
32 + 342
374
Then add the x back on
374x
Hope this helped :)
Solve the system using the elimination method. - Which one should I do first
3x-4y+z=-5
6x-4y+z=1
x+y+z=6
Answer:
first equation and second equation
Step-by-step explanation:
it is more easier because both of them have the same y
Answer:
Use equation (1) and equation(2) and eliminate 4y+z
Step-by-step explanation:
3x-4y+z=-5 ...(1)
6x-4y+z=1 ...(2)
x+y+z=6 ...(3)
First, you find the equation that you can use the elimination method on;
there are multiples of them.
However, I would use equation (1) and equation(2) and eliminate 4y+z :
3x-4y+z=-5
- 6x-4y+z=1
-3x=-6
x=2
As you can see, both the terms with y and z are eliminated in one step, exposing the variable x.
From here is just my advice:
There are multiple ways for you to answer this question. In math, the process may sometimes not matter if the answer was correct. Nevertheless, you should try finding one way that fits you or makes it easier to solve. I personally think that how I have been trying this helped me later when math got more complicated. (Also, it was fun for me to find another way that I was not taught of)
GOOD LUCK!! and I HOPE THIS HELPS YOU!!!!
Does anybody know what 4/5 ( + 1) is in standard form.
Answer:
1 4/5
Step-by-step explanation:
4/5 + 1 = 1 4/5
I hope this helped, please mark Brainliest, thank you so much!!
.Shaun estimated that the attendance at a college
volleyball game was 1,000. The actual attendance was
1,632. What is the percent error of Shaun's estimate?
Round to the nearest whole percent
Answer:
38.72%
Step-by-step explanation:
Estimated attendance = 1,000
The actual value of attendance = 1,632
We need to find the percent error of Shaun's estimate. Using the formula as follows :
[tex]\%=\dfrac{|\text{actual value-estimated value}|}{\text{actual value}}\times 100[/tex]
Put all the values,
[tex]\%=\dfrac{1632-1000}{1632}\times 100\\\\=38.72\%[/tex]
So, the percent error of Shaun's estimate is 38.72%.
David uses 1/2 cups of apple juice for every 1/8 cup of carrot juice to make a fruit drink. Write the number of cups of apple juice David uses for 1 cup of carrot juice.
Answer:
4 cups of apple juice for 1 cup of carrot juice
Step-by-step explanation:
If one angle of a set of supplementary angles measures 77°, then the other angle measures _____.
A.77
B.103
C.283
D.13
Answer:
B
Step-by-step explanation:
Supplementary angles sum to 180°
If one angle is 77°, then the other angle is
180° - 77° = 103° → B
I would have to say B
40.5g of sugar is needed to make 5 cakes. How much sugar is needed for 8 cakes?
Answer:
64.8g
Step-by-step explanation:
First you would divide 40.5 by five which would equal 8.1 ; 8.1 resembles 8.1g of sugar per cake. So, 8.1 times 8 cakes would be 64.8g of sugar needed for 8 cakes.