Given:
A line passing through point (2,5) with gradient 3.
To find:
The equation of the line.
Solution:
Point slope form: if a line passes through the point [tex](x_1,y_1)[/tex] and m is the slope or gradient, then the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=3(x-2)[/tex]
[tex]y-5=3(x)+3(-2)[/tex]
[tex]y-5=3x-6[/tex]
Adding 5 on both sides, we get
[tex]y=3x-6+5[/tex]
[tex]y=3x-1[/tex]
Therefore, the equation of the line is [tex]y=3x-1[/tex].
Which function of x has the least value for the y-intercept?
With a good performance on the job, Jim's boss increases Jim's monthly salary from $4500 to $5400. By what percent of Jim's monthly salary increase?
The solution is, the previous salary is $40910.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
The total salary is $45000
Divide 10% by 100 to express the value as a decimal: 10/100= 0.1
Let x represent the previous salary.
If the previous salary was increased by 10% this means that they calculated the 10% of X and added it to the salary for the increase, symbolically:
x+0.1x=45000
1.1x=45000
x= 45000/1.1
x= 40909.09≅ $40910
Hence, The solution is, the previous salary is $40910.
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What is the lead coefficient in the product of ( -2x -3)(4x + 5) *
-8
-2
4
-15
Will pick brainliest
Answer:
Step-by-step explanation:
(-2x-3)(4x+5) = -(2x+3)(4x+5) = -(8x^2+12x+10x+15) = -8x^2 - 22x - 15
Leading coefficient is -8
It takes a total of 3 hours to wash every window on a building. There are 30 windows. How many minutes does it take to wash just one window? (4 points)
O 6 minutes
O 60 minutes
180 minutes
O 5,400 minutes
Answer:
A. 6 minutes
Step-by-step explanation:
6 minutes is 1/10 of an hour.
60 minutes is 1 hour.
5,400 minutes is 90 hours.
3 hours is 180 minutes. You can solve this as a proportion:
[tex]\frac{180}{30} =\frac{x}{1}[/tex]
Cross multiply to get 30x = 180. x = 6.
Hope it helps!
anyone know the answer?
Answer:
C. 3x + 5
Step-by-step explanation:
Go to m a t h w a y . c o m (with no spaces, wont let me post without) trust me, this will save u in math
Pls help find x in both
Answer:
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]
Cross multiply,
7*(x + 8) = 6*(3x -9 )
7x + 7*8 = 6*3x - 6*9
7x + 56 = 18x - 54
56 = 18x - 7x -54
56 = 11x - 54
11x - 54 = 56
11x = 56 +54
11x = 110
x = 110 /11
x = 10
PR = 3x -9
= 30 - 9
PR = 21
Which expression is equivalent to 10n plus 81-9?
Answer:
10n+72
Step-by-step explanation:
10n+81-9
10n+72
Annie has 4 1/2 feet of rope what is the greatest number of 3/4 foot pieces that annie can cut from the rope
Answer:
6
Step-by-step explanation:
4 1/2 divided by 3/4 is 6. so 6 pieces
The greatest number of 3/4 foot pieces that Annie can cut from the rope
is 6.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Annie has 4 1/2 feet of rope.
Therefore, The greatest number of 3/4 foot pieces Annie can cut can be obtained by dividing the length of the total rope by the length of each piece which is,
= (4 1/2)/(3/4).
= (9/2)×(4/3).
= 36/6.
= 6.
So, 6 pieces are possible.
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(a-4) (6a²+ 10a-3) simplify.
Answer: 6a³-14a²-43a+12
Step-by-step explanation:
Explanation is in picture.
Does in anyone know what this is if so please tell me
Answer: 4,3
Step-by-step explanation: (This could be incorrect) Its' where the two lines intercept.
A certain stock opens with a price of
$0.23. Over the first few days the stock
value increases at an average rate of 70%
per day. If this trend continues, how much
will the stock be worth in 14 days?
Answer:$387.27
Step-by-step explanation:
Hope this helps.
The diameter of the following circle is 12 cm. What is the Circumference?
SOMEONE PLEASE HELPP ASAP
14.8
calculator is fun to use
please help asap!!! ive done most of it
Answer:
what type of answer are you looking for exactly
Step-by-step explanation:
Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2. What is the scale factor from Quadrilateral A to Quadrilateral B? (write your answer as a fraction) Find all the corresponding side lengths of quadrilateral B. The side length of 6 in A corresponds to a side length of 2 in B. The side length of 9 in A corresponds to a side length of in B. The side length of 9 in A corresponds to a side length of in B. The side length of 12 in A corresponds to a side length of in B. What is the perimeter of Quadrilateral B? The perimeter of Quadrilateral B is units.
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
a) The scale factor from Quadrilateral A to Quadrilateral B = smallest side length of side B / smallest side length of side A = 2 / 6 = 1/3
Scale factor = 1/4= 1 / 3
The side length of 6 in A corresponds to a side length of 2 in B
Side length of B that corresponds with side length of 9 in A = scale factor * 9 = 1/3 * 9 = 3
The side length of 9 in A corresponds to a side length of 3 in B
Side length of B that corresponds with side length of 12 in A = scale factor * 9 = 1/3 * 12 = 4
The side length of 12 in A corresponds to a side length of 4 in B.
c) perimeter of Quadrilateral B = sum of side lengths of quadrilateral B = 2 + 3 + 3 + 4 = 12 units
SUPER DUPER PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
For each value of x, determine whether it is a solution to 5x>/40.
8: yes or no
11: yes or no
4: yes or no
10: yes or no
Answer:
no
yes
no
yes
Step-by-step explanation:
Solve the following inequality
A certain statistic bˆ is being used to estimate a population parameter B . The expected value of bˆ is equal to B . What property does bˆ exhibit? The sampling distribution of bˆ is normal. The sampling distribution of b hat is normal. A The sampling distribution of bˆ is binomial. The sampling distribution of b hat is binomial. B The sampling distribution of bˆ is uniform. The sampling distribution of b hat is uniform. C bˆ is unbiased. B hat is unbiased. D bˆ is biased.
Answer:
C bˆ is unbiased.
Step-by-step explanation:
In statistics, the sampling distribution showcases the distribution of obtained values by the statistics in all possible sample sizes of the same population. A statistic that estimates a population parameter is termed to be an unbiased estimator if the mean of such distribution appears to be equal to the true value of the estimated parameter.
Thus, from the aforementioned, the property exhibited by b- is unbiased.
d is biased
Step-by-step explanation:
The expected value of d is not D
The property where the expected value of d is D is called unbaisedness, hence d is biased
Write the equation of the line that passes through the point (4,-2) and has a slope of
-1/2
y = -1/2x + 4
y = -1/2x - 4
y = -1/2x
y = -1/2x + 3
Answer:
y=-1/2x
Step-by-step explanation:
y-(-2)=-1/2(x-4)
y+2=-1/2x+2
y=-1/2x
The equation of a line is written as y = Mx + b where m is the slope and b is the y intercept.
Replace y and x with the given point and m with the given slope to solve for b:
-2 = -1/2(4) + b
Simplify:
-2 = -2 + b
Add 2 to both sides:
B =0
The equation becomes: y = -1/2x
There are 9 counters in a bag.
7 of the counters are green.
2 of the counters are blue.
Ria takes at random two counters from the bag.
Work out the probability that Ria takes one counter of each colour.
You must show your working.
Please show the full working out so I know how to get full marks in future I’ll give brainiest
Answer:
7/18
Step-by-step explanation:
Probability is the ratio of the number of possible outcomes to the number of total outcomes.
Given that there are 9 counters in a bag, 7 are green while 2 are blue.
the probability of picking at random a
Green counter = 7/9
Blue counter = 2/9
The probability that Ria takes one counter of each colour if 2 counter are picked as random is Green and Blue or Blue and Green
This is
=7/9 * 2/8 + 2/9 * 7/8
Recall that when a counter is picked the number of that ball available reduces and so does the total number of counter
=14/72 + 14/72
= 28/72
= 7/18
Will Mark BRAINLIEST!!! Can Someone Help Me With This Question?
BONUS: Show all work for solving the system and ANSWER the highlighted questions.
Answer:
Apple Pie cost $8
Lemon Meringue Pie = $15
Step-by-step explanation:
Creating some variables:
A = apple pie
L = lemon meringue pie
We have two equations:
11A + 1L = 103
11A + 12L=268
You can use elimination or the substitution method to solve. I will be using substitution method.
Solve the first equation for L:
11A + 1L = 103
subtract 11A to both sides
L = 103 - 11A
Plug this into the second equation
[tex]11A + 12(103-11A) =268[/tex]
distribute the 12
[tex]11A + 1236 - 132A = 268[/tex]
combine the A and subtract the 1236
[tex]-121A = -968[/tex]
Divide -968 by -121
A = 8
Next plug this 8 back into one of the two original equations above:
[tex]11(8) + 1L =103[/tex]
[tex]88+L=103[/tex]
subtract 103 by 88
L = 15
Answer:
[tex]A=8[/tex], [tex]L=15[/tex]
Step-by-step explanation:
For the sake of time Apple pies will be represented by [tex]A[/tex] and Lemon will be represented by [tex]L[/tex]
Based on the information given it is clear that:
[tex]11A+1L=103[/tex]
[tex]11A+12L= 268[/tex]
We can rearrange the first equation to solve for [tex]A[/tex], in terms of [tex]L[/tex]
[tex]11A+1L=103[/tex]
subtract [tex]1L[/tex] form both sides
[tex]11A=103-L[/tex]
Now let's input this into the second equation to solve for [tex]L[/tex]
[tex](103-L)+12L=268[/tex]
combine like terms
[tex]11L+103=268[/tex]
subtract [tex]103[/tex] from both sides
[tex]11L=165[/tex]
divide both sides by [tex]11[/tex]
[tex]L=15[/tex]
Now input this value into the first equation for [tex]L[/tex]
[tex]11A+15=103[/tex]
subtract [tex]15[/tex] from both sides
[tex]11A=88[/tex]
divide both sides by [tex]11[/tex]
[tex]A=8[/tex]
plz mark me brainliest. :)
WILL MARK YOU BRAINLIEST
Answer:
because WXYZ is a rhombus
=> WX // YZ
=> ZWX + WZY = 180⁰
=> WZY = 180⁰ - ZWX = 180⁰ - 77⁰ = 103⁰
3 divided by 1/5????
Answer:
15
Step-by-step explanation:
It helps to think that there are 15 1/5's in the number 3. Hope that helps!
NEED HELP PLEASE I NEED TO GET THIS ANSWER RIGHT!!! AND I NEED TO KNOW HOW YOU DID IT.
Answer:24cm2 is your answer Hope this helped you out.
Step-by-step explanation:L=3
W=2 and H=4 So ignore the letters. Those do not matter they are just trying to throw you off. Focus on the numbers. You need to multiply them. 3x4=12 12x2=24.
need help...............
Answer:
f^3 + 5f^2 +12f +8
Step-by-step explanation:
Help me plssssss I need help
can somebody help me ?
Answer:
Step-by-step explanation:
Basically find the slope first.
(6,1)(9,5)
5-1/9-6
m=4/3
y=mx+b
1=4/3(6)+b
b=-7
y=4/3x-7
Chase plans to buy a new car and determines he can budget $725 monthly for four years. His bank is offering an 8 25% annual interest rate What is the maximum loan he can afford to stay in his budget? Use the formula, A = (p[(1 + r/n) ^ m - 1])/(1/n * (1 + r/n) ^ N) , where Pis the monthly payment, the annual interest rate, nis the number of times interest is compounded in one year and is the number of years.
Answer:
$29555.20
Step-by-step explanation:
Given that:
P = $725
r = 8.25% = 0.0825
n = 12
t = 4 years
From the given formula:
[tex]A = \dfrac{P{(1+\dfrac{r}{n})^{n*t}-1 } }{\dfrac{r}{n}(1+ \dfrac{r}{n})^{nt}}}[/tex]
[tex]A = \dfrac{725{(1+\dfrac{0.0825}{12})^{12*4}-1 } }{\dfrac{0.0825}{12}(1+ \dfrac{0.0825}{12})^{4\times 12}}}[/tex]
[tex]A = \dfrac{725{(1.3894-1 )} } { 0.006875 \times 1.3894 }[/tex]
A = $29555.20
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 20 percent as much of its carbon-14 as compared to a living sample. How old is the fossil
Answer: The sample is 13414 years old.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:
[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]
where,
k = rate constant
t = age of sample
a = let initial amount of the reactant= 100
a - x = amount left after decay process= [tex]\frac{20}{100}\times 100=20[/tex]
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
[tex]t_{\frac{1}{2}}=\frac{0.693}{k}[/tex]
[tex]k=\frac{0.693}{5730}=0.00012years^{-1}[/tex]
b) for completion of 20% of reaction
[tex]t=\frac{2.303}{0.00012}\log\frac{100}{20}[/tex]
[tex]t=13414years[/tex]
The sample is 13414 years old.
Answer: 13,307 years
Step-by-step explanation: i got it right on the quiz/asignment
Select the correct operator for the following exponential expression.
2.510 ?0.420
A. >
B. <
C. =
Answer:
A: >
Step-by-step explanation:
I believe A because if you look at the 2 in the first first number or whatever its higher then the 0 in 0.420 And plus for the 5 in 2.510 its greater then the 4 so thats why i believe A because you always gotta read the question slowly and make sure which one is high or not but it can actually trick you sometimes but if they match its an equal so hope this helps ya^^
please help.............
Answer:
Step-by-step explanation:
Multiply the y in the binomial by every term in the trinomial. Repeat this for the 3, and sum them all up
[tex](y+3)(y^2+8y-2)\\y^3+8y^2-2y+3y^2+24y-6\\y^3+11y^2+22y-6[/tex]
Answer:
No
Step-by-step explanation:
Why should anyone help you when all you do is steal points