Answer:
b. f(x)=1/(x-2)(x+5)
Step-by-step explanation:
this is what causes the graph to move
David and his children went into a grocery store and he bought $7.50 worth of apples and bananas. Each apple costs $0.75 and each banana costs $0.50. He bought 5 more bananas than apples. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that David bought.
Answer:
The answer i can really use is x and x+5 but since ur asking of xx and yy here it is:
7.50 = 0.75(x) + 0.5(y)
Here is the 2nd solution (might be the first priority)
7.50 = total amount
0.75 = apple price ; x
0.50 = banana price ; x + 5
SOLUTION7.50 = 0.75(x) + 0.50(x + 5)
7.50 = 0.75x + 0.50x + 2.5
7.5 - 2.5 = 1.25x
5 = 1.25x
x = 4
CHECKING7.50 = 0.75(4) + 0.50(4 + 5)
7.50 = 3 + 0.50(9)
7.50 = 3 + 4.5
7.50 = 7.50 //checks out
FINAL ANSWER# of apples : x = 4 apples
# of bananas : x + 5 = 4 + 5 = 9 bananas
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Complete the table to show the interest earned for different savings principals, interest rates, and time periods
The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.
Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)
$1,000 | 2% | 1 year | $20
$5,000 | 4% | 2 years | $400
$10,000 | 3.5% | 3 years | $1,050
$2,500 | 1.5% | 6 months | $18.75
$7,000 | 2.25% | 1.5 years | $236.25
To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.
For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.
For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.
For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.
For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.
For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.
These calculations show the interest earned for different savings principals, interest rates, and time periods.
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Match the graph in the rectangular system with its slope.
A.m=-7/8
B.m=-5
c.m=1/3
D.m=2
Answer:
A) m=-7/8
Step-by-step explanation:
-The graph is pretty confusing though.
Answer:
m = -7/8
The correct answer is A.
What is the value of x in the solution to this system of equations
Y+2x=-1 y=1/2x+4
Answer:
x=-25/2, y=-9/4. (-25/2, -9/4).
Step-by-step explanation:
The solution of the given system of linear equation will be x = -2 and y = 3.
What is linear equation?A linear equation is an algebraic equation in which each term has an exponent of 1 and, when graphed, the result is always a straight line.
Given are the equations,
y+2x=-1 ⇒ y = -1-2x
y=1/2x+4
Equating the equation,
-1-2x = 1/2x+4
x+8 = -2-4x
5x = -10
x = -2
And, y = -1+4
y = 3
Hence, the value of x and y are -2 and 3 respectively.
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An art class charges each student $3 to attend plus a fee for supplies. Today, $20 was collected for the 5 students attending the class.
Answer:
$4 per student
Step-by-step explanation:
If $20 was collected from 5 students, 20/5 =4.
I hope this answers your question :)
Find the inverse of each function. Determine if the inverse is a function.
y=√x-2 +1
The inverse of the function \(\(y = \sqrt{x - 2} + 1\)\) is \(\(f^{-1}(x) = x^2 - 2x + 3\)\) , and it is indeed a function.
To find the inverse of the function \(\(y = \sqrt{x - 2} + 1\)\), we can follow these steps:
Step 1: Swap x and y:
\(\(x = \sqrt{y - 2} + 1\)\)
Step 2: Solve the equation for y:
\(\(x - 1 = \sqrt{y - 2}\)\)
Step 3: Square both sides to eliminate the square root:
(x-1)² = y -2
Step 4: Simplify:
x² -2x + 1 = y- 2
Step 5: Add 2 to both sides:
x² - 2x + 3 = y
The inverse function of \(\(y = \sqrt{x - 2} + 1\)\) is \(\(f^{-1}(x) = x^2 - 2x + 3\)\) .
Now, to determine if the inverse is a function, we need to check if each input (x-value) of the original function corresponds to a unique output (y-value) in the inverse function.
In this case, both the original function and its inverse are functions.
The original function\(\(y = \sqrt{x - 2} + 1\)\) passes the horizontal line test, meaning each x-value maps to a unique y-value.
Similarly, the inverse function \(\(f^{-1}(x) = x^2 - 2x + 3\)\) also passes the horizontal line test, indicating that it is a function.
Therefore, the inverse of the function \(\(y = \sqrt{x - 2} + 1\)\) is \(\(f^{-1}(x) = x^2 - 2x + 3\)\) , and it is indeed a function.
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Write the quotient and remainder when we divide (x^3 -4x^2 + 2x + 5) by (x - 2)
Answer:
Step-by-step explanation:
Sorry I can't explain how it is done. It is very difficult to explain on paper.
Help me I’m not smart
Answer:
The top one is refraction
Refraction is the bending or change in angle of light
Hope this helps (sorry I don’t have the answer to the second question)
Answer:
1. Refraction
2. Translucent
Step-by-step explanation:
1. Refraction is the bending of light
2.Translucent Materials are materials that allow light to pass through them. Opaque materials do not allow light to pass through them.
Liam ran 120 yards everyday for one week. How many feet did he run?
Liam ran 840 yards every day for a week, which is equivalent to 2,520 feet.
Since Liam ran 120 yards every day for a week, we need to find out the total yards he ran by multiplying it by the number of days in a week which is 7.
Hence the total yards he ran will be:
7 * 120 = 840 yards
Next, we need to convert yards to feet since we are looking for the number of feet Liam ran. We know that 1 yard is equal to 3 feet.
Therefore, we can convert the total yards Liam ran to feet by multiplying by 3:
840 * 3 = 2520 feet
Therefore, Liam ran 840 yards every day for a week, which is equivalent to 2,520 feet.
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Select the expression that is equivalent to 4x2 – 25.
Help
Answer:
Factor form: (2x-5)(2x+5)
If you olny simplify: 8x-25
Step-by-step explanation:
a college algebra class has 48 female and 44 male students. suppose you select one student at random to solve a math problem, what is the probability that the selected student is a female?
Probability of selecting a female student from the given number of students is equal to 0.5217.
As given in the question,
Number of female students in algebra class = 48
Number of male students in algebra class = 44
Total Number of students in algebra class = 48 + 44
= 92
Total number of outcomes = ⁹²C₁
Number of favourable outcomes = ⁴⁸C₁
Probability of selecting a female student
= (Number of favourable outcomes) / (Total number of outcomes )
= ⁴⁸C₁ / ⁹²C₁
= 48 / 92
= 12/23
= 0.5217
Therefore, the probability of selecting a female students from the given number of male and female students is equal to 0.5217.
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Which of the following choices is true about the number of x-intercepts of the graph of the parabola y=x2 - 4x +3?
Choose the correct answer below.
O A. This parabola has two x-intercepts.
O B. It is impossible to tell how many x-intercepts this parabola has without graphing it.
O C. This parabola has one x-intercept.
O D. This parabola has no x-intercepts.
The parabola has two x-intercepts, at x=1 and x=3. Therefore, option (A) This parabola has two x-intercepts is correct.
To find the x-intercepts of the parabola \(y=x^2-4x+3\), we need to solve the equation y=0, which gives:
\(0 = x^2-4x+3\)
We can factor this quadratic equation as:
0 = (x-1)(x-3)
Setting each factor equal to zero, we get:
x-1=0 => x=1
x-3=0 => x=3
Therefore, the parabola has two x-intercepts, at x=1 and x=3.
The correct answer is (A) This parabola has two x-intercepts.
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The table below shows the recorded temperature on a certain day starting at 6:00 am
PLS HELPPPPP
Answer:
A) y = 2.91x + 64.61 with x hours after 6:00 am
B) at 2:00pm, temperature is 87.89°
Step-by-step explanation:
(>>Regression Equation y = bx + a )With b- Sum of products/Sum of Square = sq/SSx. a = My- bMx,)
set 6.00 am is an original time, when x = 0
use the unit: hour to get a new table
X time 0, 0.75, 1.5, 2.5, 3, 3.75, 4.5, 5
Y temp 65°, 67", 68° ,72° ,74", 75° ,77° ,78°
a). with temperature y and x hour after 6:00 am,
can get Sum of x = 21 Mx = 2.63
Sum of - 578 My = 72.25
SSx = Sum of (X-Mx)² = 22.25
= sum of (X-Mx)(}-My)= 64.75
So b= sq/SSx =64.75/22.25 = 2.91
a= My- bMx = 72.25 - 291 x 2.63 = 64.61
So regressing equation Y= 2.91x + 64.61
b). at 02:00 pm , means 8 hours after 6:00 am
meaning X-8, )= 2.91×8 + 64.61 = 87.8)
The required equation of regression is y = 2.91x + 64.6 and at 2.00 pm temperature is 87.8°
Given that,
The table shows the recorded temperature on a certain day starting at 6:00 am.
The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
Here,
The standard form of the regression equation,
y = bx + a,
where b = sum of product/sum of squares a = My - bMx
Since
b = 2.91 , My = 72.25, Mx = 2.63
a = 72.25 - 2.91 * 2.63
a = 64.6
The required regression equation is,
y = 2.91x + 64.6
B)
For 2.00 PM, x = 8
Now,
y = 2.91 * 8 + 64.6
y = 87.8°
Thus, the required equation of regression is y = 2.91x + 64.6 and at 2.00 pm temperature is 87.8°
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determine whether each number is rational or irrational
Answer:
1. irrational (it's pi. pi goes on forever.)
2. irrational (the ... shows that the number goes on forever.)
3. rational (it is a regular integer)
4. rational (it would be negative 3, an integer.)
5. real, irrational (square root 6 goes on forever, like every non-perfect square root)
6. real, rational, integer, natural, whole (regular counting number)
7. real, rational, integer, natural, whole (regular counting number, 4)
8. real, rational (the .11111... shows the number is a repeating, non terminating number, therefore it is rational and real.)
brainliest is very much appreciated!
Solve the quadratic equation numerically (using tables of x- and y- values). (x +2) (x + 3) = 12
sorry bro i let my brother try to solve random problems on here
Answer:
\(x=-6,\: x=1\)
Step-by-step explanation:
\((x+2)(x+3)=12\\\\x^2+5x+6=12\\\\x^2+5x-6=0\\\\(x+6)(x-1)=0\\\\x=-6,\: x=1\)
Select the correct answer from each drop-down menu. review seth's steps for rewriting and simplifying an expression. given ,8x^(6)\sqrt(200x^(13))-:2x^(5)\sqrt(32x^(7)) step 1 =8x^(6)\sqrt(4*25*2*(x^(6))^(2)*x)-:2x^(5)\sqrt(16*2*(x^(3))^(2)*x) step 2=8*2*5*x^(6)*x^(6)\sqrt(2x)-:2*16*x^(5)*x^(3)\sqrt(2x) step 3 =80x^(12)\sqrt(2x)-:32x^(8)\sqrt(2x) step 4=(80x^(12)\sqrt(2x))/(32x^(8)\sqrt(2x)) step 5 =(5)/(2)x^(4) seth's first mistake was made in , where he
The expression \(8x^{6} \sqrt{200x^{13} } /2x^{5} \sqrt{32x^{7} }\) can be simplified as 10x⁴.
What is a radical expression?Simply said, a radical expression is a mathematical expression that contains the radical sign (√).
Given: \(8x^{6} \sqrt{200x^{13} } /2x^{5} \sqrt{32x^{7} }\)
Rewrite as a fraction using \(\sqrt[n]{a} .\sqrt[n]{b} =\sqrt[n]{ab}\):
\(\frac{8x^{6} \sqrt{200x^{13} }}{2x^{5} \sqrt{32x^{7} }}\) = \(\frac{8x^{6} }{2x^{5} } . \sqrt{\frac{200x^{13} }{32x^{7} } }\)
Cancel out the common factor.
\(4x.\sqrt{\frac{25x^{6} }{4} }\)
Now, using \(\sqrt[n]{ab}=\sqrt[n]{a} .\sqrt[n]{b}\) rewrite the expression
\(4x.\frac{\sqrt{25x^{6}} }\sqrt{4}\)
Simplifying, we get
\(4x \frac{\sqrt{(5^{2} ) (x^{3}) ^{2} )} }{\sqrt{(2^{2} )} } = 4x \frac{5x^{3} }{2}\)
Canceling out the common factor from denominator and numerator,
= 2x.5x³
=10x⁴
Therefore, the given expression can be solved as 10x⁴.
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yesterday, 28 students took a test. the arithmetic mean of those 28 scores was 72 points. two students who were absent yesterday took the test this morning, and the arithmetic mean of all 30 test scores is 73 points. if the difference of the two scores from this morning is 22 points, what is the lower score from this morning?
Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.
We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.
We also know that the mean of all 30 scores is 73. So we can write an equation:
[(28 * 72) + x + y]/30 = 73
Multiplying both sides by 30, we get:
2016 + x + y = 2190
So, x + y = 174.
We are given that the difference of the two scores is 22, so we can write another equation:
y - x = 22
Solving these two equations simultaneously, we get y = 98 and x = 76.
Therefore, the lower score from this morning is 76.
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What is another name for <2
I’m gonna ask this question again can someone help me solve this and leave in terms of pi
The equation of the circumference of a circle in terms of \(\pi\) is \(2\pi r\) or \(\pi d\).
The circumference for a circle with diameter 10 is \(10\pi\).
The circumference for a circle with diameter 19 is \(19\pi\).
The circumference for a circle with diameter 30 is \(30\pi\).
The circumference for a circle with diameter 16 is \(16\pi\).
Relatively easy, right?
The equation of the area of a circle in terms of \(\pi\) is \(\pi r^2\).
The area of a circle with radius 5 is \(25\pi\).
The area of a circle with radius 9.5 is \(90.25\pi\).
The area of a circle with radius 15 is \(225\pi\).
The area of a circle with radius 8 is \(64\pi\).
Hope this helped!
(By the way, I don't know why you're using hard formulas for trying to find the radius or diameter. The diameter is simply twice the radius, and the radius is simply half the diameter.)
Answer:
Circumference = 10\(\pi\), 19\(\pi\), 30\(\pi\), 16\(\pi\)
Area = 25\(\pi\), 90.25\(\pi\), 225\(\pi\), 64\(\pi\)
Step-by-step explanation:
For the first row we have the radius which is 5, the diameter is 10. The formula for circumference is 2\(\pi\)r. So for this one its gonna be 2\(\pi\)5 or 10\(\pi\)
radius = 5
diameter = 10
circumference = 2\(\pi\)5 or 10\(\pi\)
area = \(\pi\)\(5^{2}\) or 25\(\pi\)
for the second row
radius = 9.5
diameter = 19
circumference = 2\(\pi\)9.5 or 19\(\pi\)
area = \(\pi\)\(9.5^{2}\) or 90.25\(\pi\)
for the third row
radius = 15
diameter = 30
circumference = 2\(\pi\)15 or 30\(\pi\)
area = \(\pi\)\(15^{2}\) or 225\(\pi\)
for the fourth row
radius = 8
diameter = 16
circumference = 2\(\pi\)8 or 16\(\pi\)
area = \(\pi\)\(8^{2}\) or 64\(\pi\)
Which relationship is an example of causation?
1 .The more education a person has, the more they read.
2. More time spent on homework results in higher grades.
3. More weight on one side of a balance scale will tip the scale in that direction.
4.Animals that consume higher than average amounts of feed per week gain weight
PLEASE ANSWER QUICK
Answer:
2. More time spent on homework results in higher grades.
Step-by-step explanation:
The more time spent on homework pays off in higher grades. If this is incorrect my apologies.
More weight on one side of a balance scale will tip the scale in that direction is relationship is an example of causation.
What is Causation?Causation is the capacity of one variable to influence another.
Causation means that a change in one variable results in a change in another variable.
More weight on one side of a balance scale will tip the scale in that direction.
In this case, adding more weight to one side of the scale will directly cause it to tip in that direction.
There is a correlation between the variables, but it's not necessarily a direct cause-and-effect relationship.
The more education a person has, the more they read suggests that education and reading are correlated, but having more education doesn't necessarily cause a person to read more.
Hence, More weight on one side of a balance scale will tip the scale in that direction is an example of causation.
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i need help right now plzz
Answer:
The answer is A
Can someone pls help and explain it
Answer:
(7,-4) ; 12
Step-by-step explanation:
Basically, three corners of a rectangle are already on the graph. If you put a dot at (7,-4), that is the last corner(vertex) that finishes the rectangle
Then to find base of the rectangle, you find the length of the longer side, (the distance between the x coordinates). So you would subtract -5 from 7 and get 12, and 12 is the length of your base.
Help me pls thank you!!
pls help, need ans asap
The average velocity in the last part of the journey is 115 km/h.
How to find the average velocity?The average velocity is defined as the quotient between the total distance traveled and the time in which that distance was traveled, so we can define the formula:
Average velocity = distance/time.
Here we know that the total average velocity is 100 km/h
And we know that on the first 3/5 of the journey the average velocity is 90km/h.
Then in the latter 2/5 of the journey the velocity can be V, and the total average velocity should be 100km/h, so we can write:
(3/5)*90km/h + (2/5)*V = 100km/h
Solving that for V
(2/5)*V = 100km/h - (3/5)*90km/h
V = (5/2)*[ 100km/h - (3/5)*90km/h]
V = 115 km/h
That is the correct option.
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How am I suppose to do this?
Answer:
You would do l*w which would be 144. Then, since there are 7 identical tiles, you would multply that by 7. The answer is 1008. :D
Step-by-step explanation:
For the function shown below, the definite integral integral_0^10 f(x) dx is closest to which of the following? a.-8 b.4 c.-4 d.0 e.8
The provided function's definite integral from 0 to 10 is closest to 4.
The area of each zone that the function, the x-axis, and the two vertical lines at x = 0 and x = 10 bounds is added to form the definite integral of the function. The definite integral that results from adding up each of these areas is the one that is closest to 4. The area of the region above the x-axis is larger than the area of the region below the x-axis, which explains this. The area of the region above the x-axis is higher than the area below the x-axis because the function is rising across the interval. The overall area is closer to 4 since the area of the region below the x-axis is negative. As a result, 4 is the closest value for the definite integral of the 0–10 function.
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11) Arjun was planning a trip to China.
Before going, he did some research and
learned that the exchange rate is 8 Yuan to
$1. How many Yuan would he get if he
exchanged $2?
Help
Answer:
16yuan
Step-by-step explanation:
1$=8Y
so,2$=2x8Y
or 2$=16Y
Element X is a radioactive isotope such that every 14 years, its mass decreases by half.
Given that the initial mass of a sample of Element X is 80 grams, how much of the
element would remain after 18 years, to the nearest whole number?
10.75 grams of the element would remain after 18 years.
What is half-life?The half-life of a chemical reaction can be defined as the time taken for the concentration of a given reactant to reach 50% of its initial concentration i.e. the time taken for the reactant concentration to reach half of its initial value.
Given that, an element X is a radioactive isotope which decreases by half every 14 years,
We need to find that how much will be remain after 18 years if initial sample is 80 grams,
So,
For radioactive isotope decay =
\(N = N_0e^{-\lambda t\)
Where, N = final quantity, N₀ = Initial amount, t = half life, λ = constant.
Now, after t = 14 years, N = N₀/2
N₀/2 = N₀\(e^{-\lambda 14\)
\(e^{\lambda 14} = 2\)
14λ = ㏑2
λ = 4.9 × 10⁻³
Now, for N₀ = 80 grams and t = 18 years,
\(N = 80e^{4.9 \dot\ 10^{-3\)
N = 10.75 grams.
Hence, 10.75 grams of the element would remain after 18 years.
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the high school mathematics teacher handed out grades for his opening statistics test. the scores were as follows. 62, 66, 71, 80, 84, 88 (a) identify the lower and upper quartiles. Q1 =
Q2 =
(b) Calculate the interquartile range, Entram wat marker.
a) Q1 = 66 and Q3 = 84
b) the interquartile range is 18.
What is the domain and range?
The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.
The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.
The range of a function refers to the set of all possible output values, or y-values.
To identify the lower and upper quartiles and calculate the interquartile range for the given scores, we need to arrange the scores in ascending order.
Arranging the scores in ascending order: 62, 66, 71, 80, 84, 88
(a) Lower and Upper Quartiles:
The lower quartile, denoted as Q1, is the median of the lower half of the data. It divides the data into two equal parts, with 25% of the scores below and 75% above.
Q1 = 66 (the value in the middle of the lower half of the data)
The upper quartile, denoted as Q3, is the median of the upper half of the data. It divides the data into two equal parts, with 75% of the scores below and 25% above.
Q3 = 84 (the value in the middle of the upper half of the data)
(b) Interquartile Range:
The interquartile range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1). It measures the spread of the middle 50% of the data.
IQR = Q3 - Q1
= 84 - 66
= 18
Therefore, a) Q1 = 66 and Q3 = 84
b) the interquartile range is 18.
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What is the value of this expression 15−5
3−2
32
38
315
please help me!!
Answer:
sumbody help this man plz