Answer:
5
Step-by-step explanation:
(4x^2- 10x+9)+(6x-2)-
Answer:
-2^5
Step-by-step explanation:
Answer:
24^3-52x^2+34x+18
How can you solve linear equations by combining like terms?
Answer: In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz² and −5xyz² are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.
I HOPE THIS HELPED ! :) mark me brainlist pls
Answer:
by combining them like the ordinary like ordinary integers.
Step-by-step explanation:
For example we have
8x + 4y = 3x - 6
you will bring 3x to the left so it will become -3x
8x - 3x + 4y = -6
then combine like terms
there you have
5x + 4y = -6
The given:
8x + 4y = 3x - 6
8x - 3x + 4y = -6
5x + 4y = -6
answer for the example: 5x + 4y = -6
Write an equivalent expression so that each factor has a single power. Let m, n, and p be numbers.
Answer:
a^m-n
Step-by-step explanation:
If we have the expression m^a / m^n, we can use exponent rules to simplify this.
Exponent rules say that x^a / x^b = x^a-b. In this case, x is a, a is m and b is n, so the same rule applied here.
So a^m / a^m will be equal to a^m-n
Hope this helped!
Find the equation of this line.
Simplify the fractional part.
(Picture)
Answer:
y = 1/3x + 2
Step-by-step explanation:
Rise over run + y intercept
Image attached below. Please help.
Answer:
T,F,T,F,T
Step-by-step explanation:
1. It crosses it there becuase 4(0)-15=-15 for y
2: both top and middle answers are -23, so continuous
3: it increases over that period because the exponent keeps getting bigger
4: No, its not decreasing because -12 plugged in is far less than -23 when -2 is plugged in, meaning its increasing
5: There is no number that would cause an imaginary number or make you divide by zero, meaning all real numbers are fine.
The ratio of my action to comedy movies is 4:5. If I have 35 comedy movies, how many are action? *
Answer:
28 action movies
Step-by-step explanation:
Set up a proportion: [tex]\frac{4}{5} = \frac{x}{35}[/tex] Cross multiply, then divide: 35 × 4 = 140, 140 ÷ 5 = 28So, if you have 35 comedy movies, you would have 28 action movies.I hope this helps!
Currently bank customers wait approximately 7.5 minutes during peak hours to be served by a teller. Suppose the bank manager hires another teller and wants to show that the wait time has now decreased. She takes a random sample of 50 customers during peak time and finds that the average wait time is 9.3 minutes. Which of the following statements is the correct alternative hypothesis?a) H1: µ < 7.5b) H1: µ ≠ 7.5c) H1: µ > 7.5d) H1: µ > 9.3e) H1: µ < 9.3
Answer:
a) H1: µ < 7.5
Step-by-step explanation:
From the given information:
mean = 7.5
sample size = 50
sample mean = 9.3
The main task we are to carry out is to identify the correct alternative hypothesis:
Now to do that, let's state the null and the alternative hypothesis from the given study.
The null hypothesis can be computed as:
[tex]\mathbf{H_o: \mu \geq 7.5}[/tex]
The alternative hypothesis can be computed as:
[tex]\mathbf{H_1: \mu < 7.5}[/tex]
Thus, this test hypothesis is a one-tailed test (left tailed).
Imran and Sarah share 24 sweets between them in the ratio 2:1
How many sweets does Imran get?
The correct answer is 12.
I hope this helps you!!
Write an equation of a line parallel to the line below in point-stope form that passes through the point (-1,5).
y = 1/4x - 6
y + 1 = - 4(x - 5)
y + 1 = 1/4(x - 5)
y - 5 = 1/4(x + 1)
y- 5 = - 4(x + 1)
Which diagram represents a fraction equivalent to 75%?
the average weight of 6 people is 173, a 7th person gets on and now the average weight is 165, how much did the 7th person weigh
Answer:
117
Step-by-step explanation:
The average of all 7 people is the total weight of the original 6 people, plus the weight of the 7th person, all divided by 7.
For problems like this involving an average of numbers that are "close" together, here is a different strategy for solving the problem that you might like to try.
The original 6 people have an average weight of 173, which is 8 pounds more than the average of all 7 people. So all together, the weight of those 6 people is 6*8=48 pounds over the 165 average. That means the 7th person's weight must be 48 pounds below the 165 average.
So the weight of the 7th person is 165-48 = 117 pounds.
Answer:
The 7th person weighted 117
Step-by-step explanation:
Average Value
The mean or average of a number n of measurements is defined as the sum of all values divided by n.
[tex]\displaystyle \bar x=\frac{\sum x_i}{n}\\[/tex]
The question gives us some input data. The average weight of n=6 people is [tex]\bar x=173[/tex]. With this information, we can set this relationship:
[tex]\displaystyle 173=\frac{\sum x_i}{6}[/tex]
From the above equation, we know the sum of the first 6 persons:
[tex]\sum x_i=6*173=1,038[/tex]
When a 7th person gets on, the new average gets down to 165 and n=7. The equation for the new average is:
[tex]\displaystyle 165=\frac{\sum x_i+X}{7}[/tex]
Note we have a new summand to the numerator. It's the weight of the 7th person. Let's solve for X:
[tex]\displaystyle 165=\frac{1,038+X}{7}[/tex]
Multiply by 7:
[tex]7*165=1,038+X[/tex]
Operate and swap sides:
[tex]1,038 +X=1,155[/tex]
[tex]X=1,155-1,038=117[/tex]
The 7th person weighted 117
2/4 = y/10 what is y?
Answer:
5
Step-by-step explanation:
2/4=y/10
=> 2x10=yx4
=> 20=yx4
=>y=5
Help help help help help!!!!!
Answer:
6) 130
7) x = 35
8) y = 100
9) 50
10) 130
11) DEF = 29
12) FEG = 61
13) DEF = 91
14) FEG = 89
Step-by-step explanation:
6)angle AEB is 50°
supplementary is when 2 angles add together to make 180°
50 + x = 180
x = 180 - 50
x = 130
7)
angles AEB and DEC are vertical angles
vertical angles are equal.
50 = x + 15
50 - 15 = x
35 = x
8)
AEB and AED are supplementary angles
supplementary angles add together to make 180
50 + (y + 30) = 180
y + 30 = 180 - 50
y + 30 = 130
y = 130 - 30
y = 100
9)
DEC is vertical to AEB
vertical angles are equal.
AEB = 50
DEC = 50
10)AED = y + 30
as established earlier, y = 100
substitute Y for 100
AED = 100 + 30
AED = 130
11 & 12)DEF and FEG are complimentary.
complimentary means they add together to make 90
(3x - 4 ) + (5x + 6 ) = 90
3x - 4 + 5x + 6 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88
x = 88/8
x = 11
substitute x into the equations
DEF = 3x - 4
DEF = 33 - 4
DEF = 29
FEG = 5x + 6
FEG = 55 + 6
FEG = 61
13 & 14)
DEF and FEG are supplementary.
supplementary means they add together to make 180
(9x + 1) + (8x + 9) = 180
9x + 8x + 1 + 9 = 180
17x + 10 = 180
17x = 170
x = 10
substitute x into the equations
DEF = 9x + 1
DEF = 90 + 1
DEF = 91
FEG = 8x + 9
FEG = 80 + 9
FEG = 89
If I got something wrong please let me know!
PLEASE HELP, QUESTIONS 4 AND 5 ARE RELATES TO 2 AND 3
Answer:
4. 180
5. PQ
Step-by-step explanation:
which is greater? 0.4 or 0.127
Answer:0.4
Step-by-step explanation:
4 is bigger than one so it would be like 400>127
Answer:
0.4 would be the greater number
The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population f
Complete Question
The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population from the bottom 80% is called the 80th percentile)
Answer:
a
[tex]P(480 < X < 590) = 0.3952[/tex]
b
[tex]x = 664.5 [/tex]
c
[tex]x_1 = 474.67[/tex]
The value is called the [tex]40^{th}[/tex] percentile
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 500[/tex]
The standard deviation is [tex]\sigma = 100[/tex]
Generally the percentage of the score that are between 480 and 590 is mathematically represented as
[tex]P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < \frac{ X - \mu }{ \sigma } < \frac{ 590 - 500}{ 100} )[/tex]
Here [tex]\frac{ X -\mu}{\sigma } = Z[/tex]
=> [tex]P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < Z < \frac{ 590 - 500}{ 100} )[/tex]
=> [tex]P(480 < X < 590) = P(-0.2< Z < 0.9 )[/tex]
=> [tex]P(480 < X < 590) = P(Z < 0.9 ) - P(Z<-0.2) [/tex]
From the z table (reference calculator dot net )
[tex] P(Z < 0.9 )= 0.81594 [/tex]
And
[tex] P(Z < -0.2 )= 0.42074 [/tex]
=> [tex]P(480 < X < 590) = 0.81594 - 0.42074 [/tex]
=> [tex]P(480 < X < 590) = 0.3952[/tex]
Converting to percent
[tex]P(480 < X < 590) = 0.3952 * 100[/tex]
[tex]P(480 < X < 590) = 39.52\% [/tex]
The percentage invited to join the club is the top 5% , this can be mathematically represented as
[tex]P(X > x ) = 0.05[/tex]
Here x is the score that is within the top 5%
=> [tex]P(X > x) = P( \frac{X - \mu }{\sigma } > \frac{ x - 500}{100} )= 0.05[/tex]
Generally the critical value of 0.05 from the normal distribution table is
[tex]Z_{0.05} = 1.645[/tex]
So
[tex]\frac{ x - 500}{100} = 1.645[/tex]
=> [tex]x - 500 = 164.5[/tex]
=> [tex]x = 664.5 [/tex]
Generally the probability of having a score that separates the top 60% of the population from the bottom 40%
[tex]P(X > x_1 ) = 0.60[/tex]
=> [tex]P(X > x_1) = P(\frac{ X - \mu }{\sigma } > \frac{x - 500}{100} ) = 0.60[/tex]
The critical value of 0.60 from the normal distribution table is
[tex]Z_{0.60} = - 0. 2533[/tex]
So
[tex]\frac{x_1 - 500}{100} = -0.2533[/tex]
=> [tex]x_1 = 474.67[/tex]
From the hint given we can see that this value is called the [tex]40^{th}[/tex] percentile
What angle would it be?
Will give brainliest if all answers! plz do it in under 30 min. Will accept by a hour.
You dont have to answer all of them but if you do I will give brainliest!
Answer:
B A C C
Step-by-step explanation:
If you put cold water in a cup and then put the same temperature water in it would it get colder or would it stay the same temperature?
Can you help me please
Answer:
7.6
Step-by-step explanation:
(4−(−3))2+(−2−1)2
=7^2+(−2−1)2
=49+(−2−1)2
=49+(−3)^2
=49+9
=58
=7.6
Carlos earns $7.50 per hour cutting grass on the weekends with his dad. Last Saturday, he worked 5 and 1 over 2 hours. On Sunday he worked 8.5 hours. How much money did Carlos earn last weekend?
Answer:
$105
Step-by-step explanation:
5.5+8.5=14
14 * 7.5=105
Find the set of the solutions for each of the following Absolute Value Inequalities. Check your answers.
**EXPLANATION NEEDED! THANK YOU!**
Answer:
There are NO solutions
Step-by-step explanation:
On the left hand side, we have an absolute value;
which means that the left hand side will always be greater than or equal to 0
On the right hand side, we have a negative value;
Since the LHS can NEVER be negative, it will never be less than a negative number
Hence, No value of y can make this equation true
I WILL GIVE BRAINLYIST!!
For every 4 apples, there are
_____oranges
Answer:
12
Step-by-step explanation:
so here, the ratio of apples to oranges is 1:3. this can also be represented as the fraction 1/3. now, we are trying to find the number of oranges when there are 4 apples using this ratio. this means 1/3=4/x, where x is the number of oranges. we can multiply 1 by 4 (the numerator) to get 4, so we can multiply the denominator of the first fraction by 4 as well 3*4=12, so there are 12 oranges for every 4 apples. (4/12 can also be written as 4:12.)
Answer:
12
Step-by-step explanation:
nos of oranges for 4 apples = 4x 3
= 12
therefore, the ratio is 4:12 i.e. 1:3
pls mark as brainliest!
Luci cuts a board that is 5/9 yard long into pieces that are 5/18 yard long. How many pieces does she cut?
Luci cuts ___ pieces
Answer:
2
Step-by-step explanation:
9x2=18
5x2=10
10/18=5/9
10/18 divided by 2 5/18
so its 2
Choose the symbol that will create a true sentence when m = 20. 100 – 2m ___ 3m
Answer: it’s =
i just got the test results
If you answer this thanksssssss
Answer:
A. 6.95+8t=24.95;t=2.25
Step-by-step explanation:
24.95 minus 6.95 of the canvas equals 18 dollars left for the 8 tubes of paint, but then you have to figure out how much money for each which would equal 18 divided by 8, and that equals 2.25 dollars.
Help! I’ll mark you brainly and give extra points!!
Answer: 4. No, the graph is NOT a function because using the vertical line test, it intersects at two points at a time.
5. Yes, it is a relation, and it is also a function because once those points are plotted if given the vertical line test, there would not be two points crossed at once. So, yes, it is a function.
6. Yes, it is a relation. No, it does NOT make up a function because a vertical line would intersect all the points given.
find the value of x. Please help!!!
The answer is 8. Teacher gave us the answer , but I need to show my work.
Answer:
51+(4x+7)=90
4x+58=90
-58 -58
4x=32
4x/4=32/4
x=8
Step-by-step explanation:
What is 8/9 - 1/18?
Thank you.
:)
Answer:
0.83 but draw a repeating bar over the 3
Step-by-step explanation:
Functions and their Properties
Practice
Need help
Answer:
[tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex] → (a)
Step-by-step explanation:
We need to evaluate g(n - 7), where
[tex]g(x)=\frac{x^{2}-7}{7x}[/tex]Replace x by (n - 7) to evaluate it
∵ x = (n - 7)
∴ [tex]g(n-7)=\frac{(n-7)^{2}-6}{7(n-7)}[/tex]
→ Let us find (n - 7)²
∵ (n - 7)² = (n - 7)(n - 7) = (n)(n) + (n)(-7) + (-7)(n) + (-7)(-7)
∴ (n - 7)² = n² + (-7n) + (-7n) + 49 = n² + -14n + 49
∴ (n - 7)² = n² - 14n + 49
→ Find 7(n - 7)
∵ 7(n - 7) = 7(n) - 7(7)
∴ 7(n - 7) = 7n - 49
→ Now let us write then in the form above
∵ [tex]g(n-7)=\frac{n^{2}-14n+49-6}{7n-49}[/tex]
→ Add the like terms in the numerator
∴ [tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex]
The correct answer is (a)