Answer:
[tex]y = \frac{2}{3}x - 3[/tex]
Step-by-step explanation:
m = 2/3
y-intercept (b) = -3
Slope and y-intercept form: y =mx +b
y = [tex]\frac{2}{3}x - 3[/tex]
How do I to simplify a fraction?
Answer:
Most math teachers would very much be happy to have the most version of the answer. For example:
[tex]\frac{4}{8} = \frac{1}{2}[/tex]
You do not really have to simplify a fraction
Answer:
Check if the denominator has any radicals. If so, multiply both numerator and denominator with the radical to remove it.Check if the numerator and denominator have any common factors. If so, factor them out and remove them.Check if the numerator is greater than the denominator. If so, change fraction into a mixed number.Step-by-step explanation:
Examples for each step:
[tex]\frac{2}{\sqrt{3} } = \frac{2}{\sqrt{3} } * \frac{\sqrt{3} }{\sqrt{3} } = \frac{2\sqrt{3} }{3}[/tex][tex]\frac{10}{15} = \frac{5(2)}{5(3)} = \frac{2}{3}[/tex][tex]\frac{6}{5} = 1\frac{1}{5}[/tex]Look at the screenshot
Answer:
37.5 is the answer to the problem
Express the difference of 5.023 x 10^-2 and 4.6 x 10^-4 in scientific notation.
express x²+4x-7 in the form (x+a)²-b where a and be are integers
Answer:
(x + 2)^2 - 11.
Step-by-step explanation:
f(x) = x^2 + 4x - 7
So x^2 + 4x = (x + 2)^2 - 4 so we have:
f(x) = (x + 2)^2 - 4 - 7
f(x) = (x + 2)^2 - 11.
You'd like to purchase a new car when you graduate and start working. The car that you would really like costs $40,000. You've
checked with the bank and based on your income, you would qualify for a car loan with an annual interest rate of 5.64% with a 3-year repayment period. What would be your monthly car loan payment?
Answer:
1210.36
Step-by-step explanation:
40,000=pv
5.64/12=0.47% is interest
3*12=36 periods
I have used a financial calculator
True or false 7 ÷ 1/4 is the same as 7*4
A. True
B. False
Answer:
False
Step-by-step explanation:
Answer:
A. True
Step-by-step explanation:
7 divided by 1/4 flip it it equals 28
7 x 4 -= 28
3x+6y = 27
x + 2y = 11
Solve by elimination
Answer:go0gle
gle come in clutch
Step-by-step explanation:
Next, let's solve 3x+2y = 10 for the variable y. Move the 3x to the right hand side by subtracting 3x from both sides, like this: 3x - 3x = 0. The answer is 2y. The answer is 10-3x.
Martin is two years younger than three times his daughter Ada’s age. The sum of their ages is 54. If Ada’s age is given by a, then which equation below fully models in the information given in this problem?
Answer:
Martin is 40 and Ada is 14Step-by-step explanation:
Martin's age = mAda's age = aMartin is two years younger than three times his daughter Ada’s age:
m = 3a - 2The sum of their ages is 54:
m + a = 54Solving this equation for m:
m = 54 - aEliminate m:
3a - 2 = 54 - aSolve for a:
3a + a = 54 + 24a = 56a = 56/4a = 14Find m:
m = 54 - 14 = 40Martin is 40 and Ada is 14
Emeka is 10 years 6 months old and his classmate Boyle is 9 years old find the ratio of their age
Answer:
Hi...
10+6/12=10.5
So...10.5/9=1.16
The ratio shows how many times one value is contained in another value.
Emeka's age = 10.5 years
Boyle's age = 9 years
The ratio of Emeka's age and Boyle's age is 7/6.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Emeka:
Age = 10 years and 6 months
We know that,
12 months = 1 year
Divide 6 on both sides.
6 months = 1/6 years
6 months = 0.5 years
So,
10 years and 6 months = 10.5 years.
Emeka age = 10.5 years _____(1)
Boyle:
Age = 9 years _____(2)
The ratio of Emeka's age and Boyle's age.
From (1) and (2) we get,
= Emeka age : Boyle age
= 10.5 : 9
= 105 / 90
= 5 x 21 / 5 x 18
= 21 / 18
= 3 x 7 / 3 x 6
= 7/6
Thus,
The ratio of Emeka's age and Boyle's age is 7/6.
Learn more about ratios here:
https://brainly.com/question/2462048
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Please help me!! Brainly whoever gets it right and is first!!
Answer:
0.1>0.01 0.2>0.03 0.12>0.21 0.13> 0.031
hope it right
Which binomial is a factor of x^3 -6x^2 +3x+10?
A: x+1
B: x+2
C: x+5
D: x+10
help me pls thank you alot!
Ricardo and Tammy practice putting golf balls. Ricardo makes 47% of his putts and Tammy makes 51% of her putts. Suppose that Ricardo attempts 25 putts and Tammy attempts 30 putts. Let R = the proportion of putts Ricardo makes and T = the proportion of putts Tammy makes. What is the probability that Ricardo makes a higher proportion of putts than Tammy?
Find the z-table here.
Answer:
0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.
Step-by-step explanation:
To solve this question, we need to understand the normal distribution, the central limit theorem, and subtraction of normal variables.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction of normal variables:
When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.
Ricardo makes 47% of his putts, and attempts 25 putts.
By the Central Limit Theorem, we have that:
[tex]\mu_R = 0.47, s_R = \sqrt{\frac{0.47*0.53}{25}} = 0.0998[/tex]
Tammy makes 51% of her putts, and attempts 30 putts.
By the Central Limit Theorem, we have that:
[tex]\mu_T = 0.51, s_T = \sqrt{\frac{0.51*0.49}{30}} = 0.0913[/tex]
What is the probability that Ricardo makes a higher proportion of putts than Tammy?
This is the probability that the subtraction of R by T is larger than 0. The mean and standard deviation of this distribution are, respectively:
[tex]\mu = \mu_R - \mu_T = 0.47 - 0.51 = -0.04[/tex]
[tex]s = \sqrt{s_R^2 + s_T^2} = \sqrt{0.0998^2 + 0.0913^2} = 0.1353[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0 - (-0.04)}{0.1353}[/tex]
[tex]Z = 0.3[/tex]
[tex]Z = 0.3[/tex] has a pvalue of 0.6179
1 - 0.6179 = 0.3821
0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.
Answer:
A (.384)
Step-by-step explanation:
EDGE2021! :)
help pleasw!!!!!!!
[tex]17x - 18 = 2(7x)[/tex]
Answer:
x = 6Explanation:
17x − 18 = 2(7x)
Simplify both sides of the equation17x − 18 = 2(7x)
17x + −18 = 14x
17x − 18 = 14x
Subtract 14x from both sides17x − 18 − 14x = 14x − 14x
3x − 18 = 0
Add 18 to both sides3x − 18 + 18 = 0 + 18
3x = 18
Divide both sides by 33x / 3 = 18 / 3
x = 6- PNW
A stained glass window in city hall measures 36 inches tall. Kristen drew the window at the scale below.
1 inch : 9 inches
How tall was Kristen's drawing?
Answer:
4 inches
Step-by-step explanation:
Just have to make it into the simplest form.
A farmer is purchasing hay for his cows. Before tax, one ton of hay costs $130. The farmer wants to know the total price, including a 6% sales tax.
Answer:
t-120(30
Step-by-step explanation:
Answer:
idek this one was confusing for me to
Find the 4th term in the sequence with the following definition:
A1= 0
An=2 (an-1 -3)
Answer:
A2=2(a2-1-3)
A2=2(a1-3)
A2=2(0-3)
A2=-6
A3=2(a2-3)
A3=2(-6-3)
A3=2*-9
A3=-18
A4=2(a3-3)
A4=2(-18-3)
A4=-42
The 4th term in the sequence using the given definition is -42.
for better understanding check the calcualtion below .
Calculation :
we find out the fourth term in the sequence by using the given formula
Given :
[tex]a_1=0\\a_n=2(a_{n-1}-3)[/tex]
first term is given as 0
Lets find out the second term using the given formula
Substitute n =1 to find out second term
[tex]a_n=2(a_{n-1}-3)\\n=2\\ a_2=2(a_{2-1}-3)\\ a_2=2(a_{1}-3)\\a_2=2(0-3)\\a_2=-6[/tex]
so the second term is -6
Find out thrid term by substituting n = 3
[tex]a_3=2(a_2-3)\\a_3=2(-6-3)\\a_3=-18[/tex]
So the third term is -18 . Now find out fourth term by substituting 4 for n
[tex]a_4=2(a_3-3)\\a_4=2(-18-3)\\a_4=-42[/tex]
The 4th term in the sequence using the given definition is -42
Learn more information about 'sequence ' here
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Find the inverse of the equation y = –4x – 8.
y = 4x +8
Step-by-step explanation:
Just take the signs of the integers and switch them around! -4 becomes +4, and -8 becomes +8. Note that you should not switch multiplication to division, this only works for addition and subtraction signs.
If n (A-B) =18, A (AUB)=70
I and n(AnB)=25, then find
n (B)
Answer:
hope it will help yu a lot
[tex]\sqrt100j^9r^6[/tex]
Answer:
ttbh
Step-by-step explanation:
A line passing through the points (-3,1) and (-2,t) has a slope equal to 2. Find the value of t.
Step-by-step explanation:
BRAINLY FREE POINTS JSJJSJJ
WHAT IS THE EQUATION OF THE LINES IN SLOPE -INTERCEPT FORM ?
Answer:
y=x-5
Step-by-step explanation:
the y intercept is -5 and slope is 1
3 squares and 4 circles.
The ratio is 3:4. What are the next 2 equivalent ratios for this problem?
Answer:
6:8 and 9:12
Step-by-step explanation:
Just multiply a number to both of the numbers in the ratio to get an equivalent ratio
3:4
3 x 2 = 6 4 x 2 = 8 3 x 3 = 9 4 x 3 = 12
9:12
6:8
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost 25$ and same-day tickets cost 20$ . For one performance, there were 50 tickets sold in all, and the total amount paid for them was 1150$ . How many tickets of each type were sold?
Answer:
Number of advance tickets sold = 30
Number of same-day tickets sold = 20
Step-by-step explanation:
Let,
x be the number of advance tickets sold
y be the number of same-day tickets sold
According to given statement;
x + y = 50 Eqn 1
25x + 20y = 1150 Eqn 2
Multiplying Eqn 1 by 25
25(x+y=50)
25x + 25y = 1250 Eqn 3
Subtracting Eqn 2 from Eqn 3
(25x+25y)-(25x+20y) = 1250 - 1150
25x + 25y - 25x - 20y = 100
5y = 100
Dividing both sides by 5
[tex]\frac{5y}{5}=\frac{100}{5}\\y=20[/tex]
Putting y = 20 in Eqn 1
x + 20 = 50
x = 50 - 20
x = 30
Hence,
Number of advance tickets sold = 30
Number of same-day tickets sold = 20
A figure has vertex M(-4, 6). If the center of dilation is the origin, find M' if k = 1/2.
A. M'(-8, 12)
B. M'(-2, 3)
C. M'(-2, -3)
D. M'(2, -3)
a)
Start at -3 and add 10
Answer:
Step-by-step explanation:7
what is -40 - ___ = 48
Answer:
-40 - 8 = 48
Step-by-step explanation:
Janet and Kyle each purchase Blu Ray discs and Cd's from Amazon. Janet buys 3 Blu ray and 2 Cd's for $58. Kyle buys 1 Blu Ray and 4 Cd's for $46. How much does each Blu Ray and CD cost?
Answer:
y = 20 x = 6
Step-by-step explanation:
1 (3x+ 2y = 58 ------------> -3x + -2y = -58
1x + 2y = 46 --------------> 1x + 2y = 46
____________
-2x = -12
-----------------
-2x -2x
x = 6
3(6) + 2y = 58
18 + 2y = 58
-18 -18
------------------
2y = 40
----- -----
2y 2y
y = 20
What shape is this cross-section?
Answer:
Circle
Step-by-step explanation:
Answer:
It is a circle
Step-by-step explanation:
I am really sorry if I am being rude but I have to ask. It's says that you are in collage, so how can you not know something as simple as this?
) [7 − 2x + 5y − (x − y)] − (5x + 3y − 7)
Answer:
[7-2x+5y-(x-y) -[5x+3y-7]
= 7-2x+5y-x+y-5x-3y+7
=7+7-2x-x-5x+5y+y-3y
=14-8x+3y
=-8x+3y+14
Step-by-step explanation:
Answer:
The answer is 14!
Step-by-step explanation:
