Answers
Step-by-step explanation:
if you are given an equation of a form y=kx+b, k is gradient and b is y-intercept
in c you can write this equation as y=(2x/3)-2,so gradient = 2/3 and y-intercept =-2
in e:6y=2x+3
y=x/3+1/2,gradient = 1/3, y-intercept=1/2
The gradient or Slope in a linear equation is simply the value "a" in this equation : y = ax + b
And the y-intercept is simply the value b.
so for example, what is the slope of y = 5x + 3 ? What is the y-intercept ? Well the gradient (or slope) is 5, and the y-intercept is 3.
So, for a.
y = -1/2x + 8
it's pretty simple : gradient = -1/2
y intercept = 8
Now for c.
[tex]y=\frac{2x-6}{3}[/tex]
[tex]y=\frac{2}{3}x-\frac{6}{3}[/tex]
[tex]y=\frac{2}{3}x-2[/tex]
So the gradient is 2/3 and the y intercept is -2 (and not +2, be careful there is a negative sign :) )
e.
-2x + 6y - 3 = 0
6y = 2x + 3
y = (2/6)*x + (3/6)
y = (1/3)*x + (1/2)
so the gradient is 1/3
and the y-intercept is 1/2
Good luck, your the best :)
Related Questions
What is the missing divisor?
966 divided by ?=161
Answers
Answer: its 6
Step-by-step explanation: just divide 966 by 161 and the answer would be 6
1). A home repair crew charges seventy-five dollars per day plus two hundred fifty-five
dollars for each hour the crew works. One day the crew works c hours and charges a
total amount of one thousand, six hundred five dollars. How many hours does the crew
work?
Answers
Answer:
Approx 3 hours.
Step-by-step explanation:
750 + 255c = 1605
255 c = 855
c = approximately 3 hours.
Answer:
The crew worked 6 hours.
Step-by-step explanation:
$255 x 6 = $1530
Add the "Per Day Fee" of $75
$1530 + $75 = $1605 Dollars
The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card? Round to the nearest hundredth of a percent.
Answers
Answer: The percent of increase is 66.67%.
Step-by-step explanation:
Find the percent of increase of baseball cards.
Step 1: Subtract the starting value from the final value.
65 - 39 = 26
Step 2: Take the value you get and divide it by the starting value.
26 ÷ 39 = 0.666667
Step 3: Multiply what you get by 100.
0.666667 × 100 = 66.6667
Step 4: Round what you get the nearest hundredth of a percent.
66.6667 → 66.67%
(2x-1) (x+3)
Expand
Answers
Answer:
2x^2+5x-3
Step-by-step explanation:
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
write a linear function
Answers
Answer:
The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.
Step-by-step explanation:
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52
Answers
Answer:Let's assume x be the smaller number.
Given that, The greater number is 4 more than the smaller number.
So, greater number= x+4.
It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,
x + (x + 4) = 52
Step-by-step explanation:
I need the answer if you know write with explination if you don't know don't answer
Answers
Answer:
ABD ≅ ACD and PQS ≅ PRS
Step-by-step explanation:
For ABD ≅ ACD;
AB = AC = 3.5
BD = CD = 2.5
AD ≅ AD by reflexive
Since all 3 sides are congruent, SSS can be used
For PQS ≅ PRS
PQ≅PR by given
QS≅RS by given
PS≅PS by reflexive property
Since all 3 sides are congruent, SSS can be used and they are congruent
A phone is regularly priced at $350. If you get it on sale for 15% off, how much do you pay?
Answers
Explanation:
x/18. 30/100 cross multiply 30*18=5250
5250 divided by 100= 52.5
whats is 8:55 after 25 minutes
Answers
plzz help me no link plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
Zara ate 50 almonds last week
Step-by-step explanation:
part to whole ratio is 50 : 100
150 divided by 2 is 75
100 divided by 50 is equal to 2
Zara ate 50 almonds last week
pls mark brainliest if this helped :)
help me it would be nice if you could help me
Answers
Answer: B (x=1)
The x-axis shows all the zeros (solutions).
If you were trying to find the slope and the equation of the line, you would go y/x for the slope.
While, b is the y axis, which is 3 in this case.
And the slope is 3/1, which is rise over run (y/x)
Linear equations: y = mx+b
Quadratic equation: ax^{2}+bx+c
(Not going to go in much more depth)
The equation of this line is y = 3x + 1
si el examen tenia 44 puntos y saque 40 ¿Que nota tengo?
Answers
Answer:
90%
Step-by-step explanation:
Anna wants to bake $2\frac{1}{2}$ dozen cookies for a party. However, the recipe she has only makes a dozen cookies. If the original recipe calls for $1\frac{1}{4}$ cups of sugar, how many cups of sugar does she need to make the cookies for her party?
Answers
ANSWER: Loudest spliff
What is 5261.436 rounded to the nearest thousand?
Answers
Answer:
5261.436 would be the answer
Hope this helped. :)
What is the absolute value of - 2 2/3
Answers
Answer:
2 2/3
Step-by-step explanation:
absolute value means the distance between a number and 0 so therefore the absolute value s 2 2/3
Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.a.Ron will meet his monthly goal of exactly $4,123 for retirement.b.Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.c.Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.d.Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.
Answers
Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
What is Compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given monthly income of Ron is $3,142.23
Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.
Total amount he contribute in 40 years paying 5.5% compounded monthly is given by
interest rate(r) = 0.055/12
time period = 40 years = 480 months
Principal amount = $314.223
Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]
Substitute, we get,
= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]
Thus, future value is $547074.681009.
After retirement his monthly income when he has $547074.681009 amount.
P = (A.i/2)/(1-(1+i/12)⁻ⁿ)
Putting values, we get,
P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰
P = $3763.25
He will receive a monthly income of $3763.25.
But given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.
So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74
Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
For more references on Compound interest, click;
https://brainly.com/question/14295570
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find the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE
Answers
Answer:
ABC= 60
DCE= 65
DEF= 105
Step-by-step explanation:
Answer:
60°; 65°; 115°Step-by-step explanation:
ΔABC is equilateral since all sides marked as congruent. Therefore:
m∠ABC = 60°ΔCDE is isosceles since two sides marked as congruent:
m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°∠DEF forms a linear pair with ∠DEC, so they sum to 180°:
m∠DEF = 180° - 65° = 115°where the mathematicians at ☺️
Answers
Answer:
C.
Step-by-step explanation:
It is correct because the line on the graph goes up (increases) then it goes back down (decreases)
Answer:
The graph increases, then decreases
Step-by-step explanation:
The graph goes up, showing it increases, then drops down, showing it decreases.
Hope this helps!
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answers
Answer:
A. b ≤ -3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
C
Step-by-step explanation:
Sin x= cos y show that x+y=90
Answers
Answer:
just do sinx and cos y equal when x=y= multiple of pie by 4
Step-by-step explanation:
pie by 4 plus pie by 4 = 90
If I helped please mark brainliest it means a lot to my progression! <3 Thanks!
After adding 17 to a number, x, you get 23.
The equation that represents the above statement is .
The value of x in the equation is .
Answers
Answer:
The equation that represents the above statement is 17+x = 23
The value of x in the equation is 6
Step-by-step explanation:
17+x = 23
x = 23 - 17
x = 6
Elizabeth invested $970 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded daily. Matthew invested $970 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded continuously. After 8 years, how much more money would Matthew have in his account than Elizabeth, to the nearest dollar?
Answers
Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
Continuous compounding:
[tex]A(t) = Pe^{rt}[/tex]
The parameters are:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.For both of them:
Investment of $970, hence [tex]P = 970[/tex]Invested for 8 years, hence [tex]t = 8[/tex]Elizabeth:
Compounded daily, hence [tex]n = 365[/tex].Rate, as a percent, of [tex]6\frac{5}{8} = 6 + \frac{5}{8} = 6.625[/tex], hence [tex]r = 0.06625[/tex].Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]
[tex]A(8) = 1648[/tex]
Matthew:
Rate, as a percent, of [tex]6\frac{3}{4} = 6 + \frac{3}{4} = 6.75[/tex], hence [tex]r = 0.0675[/tex].Then:
[tex]A(t) = Pe^{rt}[/tex]
[tex]A(8) = 970e^{0.0675(8)}[/tex]
[tex]A(8) = 1665[/tex]
The difference is:
1665 - 1648 = 17
Hence, Matthew would have $17 more than Elizabeth in his account.
A similar problem is given at https://brainly.com/question/24507395
From a box of 120 mangoes, Brent sold 60%. How many mangoes were left?
Answers
Given:-
From a box of 120 mangoes, Brent sold 60%.To Find :-
How many mangoes are left .Solution :-
According to the question, box has 120 mangoes . The number of mangoes he sold will be ,
[tex]\longrightarrow[/tex] n(sold) = 60% of 120
[tex]\longrightarrow[/tex] n(sold) = 60/100 × 120
[tex]\longrightarrow[/tex] n(sold) = 3/5 × 120
[tex]\longrightarrow[/tex] n(sold) = 72
Hence the number of mangoes left will be ,
[tex]\longrightarrow[/tex] n(left) = 120 - 72
[tex]\longrightarrow[/tex] n(left) = 48
Hence the number of mangoes left is 48.
i need help with how to reason it
Answers
Answer:
X=80
Step-by-step explanation:
As 100⁰ is Opposite to B and AD and EH Are PARALLEL so B=100⁰
180-100
=80⁰
MARK ME BRAINLIESTGrace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?
pls simplify
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND GETS IT RIGHT!!!
Answers
Hello there!
Grace has $105 for pizzas and a cake.
She sets aside $25, so we subtract:
105-25=80
So she has $80 for pizzas.
Now, to find out how many pizzas Grace can buy, we take $80 and divide it by the price of one pizza (9.25):
The approximate answer is 8.6
Hope it helps
~Just a gloomy teen who misses her best friend
#CarryOnLearning
[tex]SilentNature[/tex]
Rearrange v=u+at to make t the subject of formula.
A. t=(u-v)/(a)
B. t=(v-u)/(a)
C. t=(u+v)/(a)
D. t=(v+u)/(a)
Answers
Answer:
t=(v-u)/a
hope it will help you
HURRY I NEED IT FOR 3rd GRADE MATH
Whats 73 + 82
Answers
Answer:
155
Step-by-step explanation:
Answer: 155
Step-by-step explanation:
73
+82
155
Evaluate. 12⋅(1/4+1/3)2+2/3 enter your answer as a mixed number
Answers
Answer:
14 2/3
Step-by-step explanation:
i took the test
answer this 1 question
Answers
Answer:
I have attached my answer below.
Step-by-step explanation:
Not sure if its correct or not. Hope this helps!!
Monica deposits $300 into a savings account that pays a simple interest rate of 3.9%. Paul deposits 400$ into a savings account that pays a simple interest rate of 3.2%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
Answers
Answer:
For Monica : Principle = $300 rate : 3.4% time 1 yr
Simple interest = Prt/100 = 300*3.4*1/100 = 1020/100= $ 10.2
For Paul : Principle = $400 rate : 2.8% time 1 yr
Simple interest = Prt/100 = 400*2.8*1/100 = 1120/100= $ 11.2
Step-by-step explanation: