Which choice is equivalent to the product below for acceptable values of X?
sqrt(x+2)*sqrt(x-2)
Answer:
√x^2-4
Step-by-step explanation:
Given the expression
√(x+2) * √(x-2)
= √(x+2)(x-2)
Expand
= √x(x)-2x+2x-2(2)
= √x^2-4
Hence the product of the expression will give √x^2-4
For x to be acceptable x^2 - 4 = 0
x^2 = 4
x = ±√4
x = ±2
Acceptable value of x are values that are greater than or equal to ±2
Answer:
√x^2-4
its also in this imagine below
To mail a letter to Vienna, Austria the post office charges a flat rate of $9.75 and an additional $0.50 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.50x+9.75, where y is the cost of the postage and x is the weight of the letter in ounces.
Missing details
Which type of function model would be appropriate for this situation?
Answer:
Linear function
Step-by-step explanation:
Given
[tex]y = 0.50x +9.75[/tex]
Required
The function model
A function of the form:
[tex]y = mx + b[/tex]
is referred to as a linear function where
[tex]m = slope/rate[/tex]
[tex]b=y\ intercept[/tex]
By comparison:
[tex]m = 0.50\ b = 9.75[/tex]
So, it is a linear function (linear model)
If y = 5x, then y is directly proportional to ______
Help me please my teacher rlly annoying
y = 5x, so 5 is the constant of proportionality
In the given linear equation, y is directly proportional to x.
What is a linear equation?A linear equation is an equation that has the highest power of the variable of 1.
Given linear equation is:
y = 5x
Here, '5' is a constant term.
Therefore, y is directly proportional to x.
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Jordan ran 15LaTeX: \frac{3}{8}3 8 miles, while Ethan ran 12 LaTeX: \frac{1}{6}1 6 miles. How many miles did the boys run altogether?
Answer:
27 13/24 miles
Step-by-step explanation:
Given that:
Jordan = 15 3/8 miles
Ethan = 12 1/6 miles
Miles ran altogether :
15 3/8 + 12 1/6
123/8 + 73/6
(369 + 292) / 24
= 661 / 24
= 27 13/24
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
Is 1/4, 1/5, 1/6, or 1/8 closer to 1
Answer:
1/8
Step-by-step explanation:
ingna ko kung wrong
nakasabot ka
(2-3)(x-3X2)
Which is the simplified form of the expression
(4-2)(x4) )
?
4x2y 16
4
2..16
X
4
1
14
4
14,8
Answer:
9x³-9x²+2x
Step-by-step explanation:
Let the expression be given as
(2-3x)(x-3x²)
Expand
= 2(x)-2(3x²)-3x(x)-3x(-3x²)
= 2x - 6x² -3x²+9x³
Rearrange
= 9x³-6x²-3x²+2x
= 9x³-9x²+2x
Hence the simplified form of the expression is 9x³-9x²+2x
Tammy bought 20 pounds of flour for $11.
How many pounds of flour did she get per dollar?
Answer:
1.82 pounds per dollar
Step-by-step explanation:
20/11= 1.82
Answer:
about 2 pounds
Step-by-step explanation:
11 dollars = 20 pounds
1 dollar = x
You need to divide 20/11
20/11= 1.82
about 2 pounds
6 – [ - 2( - 3 – 5)] =
Answer:
-10
Step-by-step explanation:
Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step
6 - 16 = -10
Answer:
-3 - 5= -8
-2 x -8= 16 (2 negatives make a positive when multiplied)
6-16= -10
Ab and cd intersects at e, aec=5x+12 and deb=8x-3
Answer:
x = 5
Step-by-step explanation:
Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.
8x - 3 = 5x + 12
3x = 15
You roll two six-sided fair nukber cubes.Whatbis the probability that you will roll snake eyes(both ones)?
Answer:
1/36
Step-by-step explanation:
Each dice has a 1 in 6 chance to land on a 1, but for both dice to land on 1's it would be [tex](\frac{1}{6} )(\frac{1}{6})[/tex]=[tex]\frac{1}{36}[/tex]
Work out the mean for the data set below: 58002, 58003, 58002, 58003, 58003, 58005, 58003
Step-by-step explanation:
Mean x¯¯¯ 58003
Median x˜ 58003
Mode 58003
Range 3
Minimum 58002
Maximum 58005
Count n 7
Sum 406021
Quartiles Quartiles:
Q1 --> 58002
Q2 --> 58003
Q3 --> 58003
Interquartile
Range IQR 1
Outliers 58005
copy machine goes brr
If A=D and C=F, which additional statement does NOT alloy you to conclude that ABC=DEF
Answer:
A
Step-by-step explanation:
i think its a because its saying which one does not allow you to conclude that both triangles are congruent but the other ones are talking the sides and a is the only one thats talking about the angles. so i dont really know if its right but thats just an educated guess.
The answer to a statistical question includes variability in data. Choose ALL examples of statistical questions es )) A) What are the ages of the kids at the local daycare? B) What was the temperature at the park at noon today? How many days are in the month of February this year? D) What are the ages of the dogs that live on this street? E) What is the color of the house at the end of the street?
Answer:
A and D are statistical questions because they will have more than one answer
Step-by-step explanation:
B is wrong bc there is only one specific temperature at noon
C is wrong because you just answer how many days there are
E is wrong because its only asking for a color of one house and not all the houses if it did ask for the colors of all the houses on the block, it would then be a statistical question.
Considering that there would be multiple solutions, questions A and D are statistical ones.
What is statistics?The study of gathering, analyzing, interpreting, presenting, and organizing data in a certain way is the focus of the mathematic branch known as statistics.
The act of gathering data, classifying it, presenting it in a way that makes it understandable, and then conducting additional analyses of the data is known as statistics.
As per the information given in the question,
Let check the options one by one,
Because there is just one particular temperature at noon, B is incorrect.
C is incorrect because you just responded with the number of days.
E is incorrect as it only requests the color of one house, not all the houses. If it did, it would be a scientific question asking for the hues of all the homes on the block.
To know more about Statistics:
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5. Amy deposited $7,000 in a bank account earning 3.5% interest, compounded
annually. Write an equation to represent how much money Amy will have after t
years.
Answer:
Step-by-step explanation:
Given the following data;
Principal = $7,000
Interest = 3.5% = 3.5/100 = 0.035
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 7000(1 + \frac{0.035}{n})^{nt}[/tex]
Could you please help me out.
Answer:
B
Step-by-step explanation:
dababy
Find the slope of the line that passes through each pair of points.
A(-6,1) B(2,1)
Answer:
Slope = undefined
Step-by-step explanation:
Use the formula:
m = y2 - y1 / x2 - x1
Plug in the given information
m = 1 - 1 / 2 - - 6
Negative + Negative = Positive
m = 1 - 1 / 2 + 6
m = 0 / 8
m = 0/8
m = undefined
hii please help i’ll give brainliest!!
Answer:
direction
Step-by-step explanation:
Will give brainiest for correct answer, but i am really behind in work right now
Answer:
here the ans
hope it is helpful to u.. mrk it as brainliest if is helps u
Answer:
so you can mark the other guy brainliest, he deserves it :)
Step-by-step explanation:
Drag the symbol to complete the solution to this inequality.
What is the area of the smallest scalene triangle whose side lengths are prime numbers?
Answer:
area = 10.28 units²
Step-by-step explanation:
Smallest prime numbers I can think of is 2, 3 & 5 but that will not make a triangle.
3, 5, & 7 will
area = 1/2(7)(2.9375) = 10.28 units²
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 4 minutes on question A and 5 4 5 minutes on question B. How much time did he have left for question C?
Answer:
2 19/20 minutes
Step-by-step explanation:
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?
The total number of minutes =
Number of minutes spent doing question (A + B + C)
Hence,
Hence, the number of minutes he had left for Question C is calculated as:
20 minutes - ( 11 1/4 + 5 4/5) minutes
20 minutes - ( 11 + 5 ( 1/4 + 4/5))
Lowest common denominator = 20
20 minutes - ( 16 + ( 5 + 16/20)
20 minutes - ( 16 + 21/20) minutes
20 minutes - (16 + 1 1/20) minutes
20 minutes - 17 1/20 minutes
= 2 19/20 minutes
Therefore he had 2 19/20 minutes left for Question C
Domain and range for this f(x)x2-4+5
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=73°, and FD = 27 feet. Find the length of EF to the nearest tenth of afoot.
Answer: 83.3
Explanation: tan 73= x/ 27
27 tan 73=x
x=88.313 = 88.3 feet
Please help
Find the area of a rhombus
Answer:30in^2
Step-by-step explanation:
Answer:
formila
Step-by-step explanation:
d2= lenght of diagonal 2, b= lenght of any side. h= height of rhombus.
Write a similarity statement for the triangles.
In Triangle CDE, C=60°, and D=53°. In Triangle FGH, F=60°, and H=67°
Answer:
The triangles are similar by Angle-Angle-Angle similarity
both triangles vertexes are 60°, 53°, and 67°
Step-by-step explanation:
Answer:
Step-by-step explanation:
ΔCDE ,
∠C + ∠D + ∠E = 180 {angle sum property of triangle}
60 + 53 + ∠E = 180
113 + ∠E = 180
∠E = 180 - 113
∠E = 67
ΔFGH ,
∠F + ∠H + ∠G = 180 {angle sum property of triangle}
60 + 67 + ∠G = 180
127 + ∠G = 180
∠G = 180 - 127
∠G = 53
∠C = ∠F
∠E = ∠H
∠D = ∠G
ΔCDE ~ ΔFGH ------ AA similarity
Which value of x makes the equation 1.75(5x − 10) = 10.5 true?
A. -3.2
B. 0.5
C. -0.5
D. 3.2
Algebra
Answer:
Answer is D) 3.2
Have a nice day!
how many triangles can you make with angles that measure 47, 60, and 73 degrees?
Answer:
1triangle
Step-by-step explanation:
47+60+73=180degree
so the 1triangle have 180 degree
How do i know this answer to this question ?? Joe has a total of 94 stamps in his stamp collection. He collected 27 in April and 34 in May. How many did he collect in June?
Answer:
Stamp collected in June = 33
Step-by-step explanation:
Total stamp = 94
Stamp collected in April = 27
Stamp collected in May = 34
Stamp collected in June = x
Total stamp = April stamp + May stamp + June stamp
94 = 27 + 34 + x
94 = 61 + x
x = 94 - 61
x = 33
Stamp collected in June = 33
A researcher has conducted a survey using a simple random sample of 50 licensed drivers to create a confidence interval to estimate the proportion of licensed drivers favoring the construction of a new stoplight. Assume that the sample proportion does not change. The researcher now decides to survey a random sample of 200 people instead of 50 licensed drivers. Which of the following statements best describes how the confidence interval is affected by this change?
The width of the new interval is about the same width as the original interval.
The width of the new interval is about twice the width of the original interval.
The width of the new interval is about one half the width of the original interval.
The width of the new interval is about one fourth the width of the original interval.
The width of the new interval is about four times the width of the original interval.
Answer: the answer is C.
Step-by-step explanation:
Answer:
Might be C?
Step-by-step explanation:
I got D. wrong (The width of the new interval is about one fourth the width of the original interval.)