The graph of which the function has an axis of symmetry at x = 3 is the graph of
y = x² - 6x - 1How to find the graph with axis of symmetry x = 3The axis of symmetry of a quadratic function is the line that bisects the curve into two.
The formula for the axis of symmetry is of the form
x = -b / 2a
for the function y = x² - 6x - 1
b = -6
a = 1
the axis of symmetry, x = -(-6/(2 * 1))
= - (-3)
= 3
hence the axis of symmetry is x = 3
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Write the following decimal number in its equivalent fraction form. Show all work for full credit.
0. 225
Answer:
\(\frac{9}{40}\)
Step-by-step explanation:
\(\frac{225}{1000}\) From the decimal going left we would read the decimal as the tenths, hundreths, thousandths. The last digit is in the thousandths places, so we would read the number 225 thousandths. We place the 225 over 1000.
This would simply to \(\frac{9}{100}\)
\(\frac{225}{1000}\) ÷ \(\frac{25}{25}\) = \(\frac{9}{40}\)
Helping in the name of Jesus.
Helppppppp
I do not understand
Answer:
360°
Step-by-step explanation:
Since this is a quadrilateral, all 4 angles add up to 360°
will mark brainliest if correct
Answer:
2
Step-by-step explanation:
2 is non-linear because it is not a straight line
ANSWER QUESTION DOWN BELLOW (in the image) PLEASEEEEEEEEEEEEEE will reward brainliest
Answer:
-2
Step-by-step explanation:
because it is on the -2 area
Choose the correct Answer below
Answer:
D i think
Step-by-step explanation:
Just because the lines are the same length doesn’t mean the angles are equal
A jet flying at 200 m/s north accelerates at a rate of 18.2 m/s² for 15 seconds. What is the jet's final velocity?
The final velocity of the jet flying in the north direction after accelerating for 15s is 473 m/s.
What is meant by velocity?When observed from a specific point of view and as measured by a specific unit of time, velocity is the direction at which an item is moving and serves as a measure of the pace at which its position is changing. How quickly or slowly an object is travelling can be determined by its velocity and speed. Being a vector quantity, we need to define velocity in terms of both magnitude (speed) and direction. A body is considered to be accelerating if the magnitude or direction of its velocity changes.
Given,
The initial velocity u = 200 m/s
Acceleration of jet a = 18.2 m/s²
Time taken t = 15s
We are asked to find the final velocity v of the jet.
W can use the following formula to find the final velocity.
v = u+ at
= 200 + (18.2) × 15
= 473 m/s (north)
Therefore the final velocity of the jet flying in the north direction after accelerating for 15s is 473 m/s.
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Given that a function, g, has a domain of -20 sxs 5 and a range of 5 s 39 s 45 and that g(0) = -2 and g(-9) = 6, select the statement that could
be true for
ОА
8-4)=-11
OB (0) = 2
Oc7)=-1
OD 8-13) = 20
Answer:
option (B) and (D)
Step-by-step explanation:
It's just basic of domain and range just check out the domain and range you can get your answer .
Only option (B) and (D) satisfy in the given range and domain
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 15% in 10 years. What will be the population in 50 years? (Round your answer to the nearest person.)____ personsHow fast is the population growing at t = 50? (Round your answer to two decimal places.)______ persons / year
Answer:
Step-by-step explanation:
I think is 75 persons 14 persons/ year
79% of 8400 + 66.66% of 4800 = 120% of 7200+ x% of 4784. what is the value of x?
(a) 33.33 (b) 25 (c) 11.11 (d) 20.13
The value of x = 25 % (option b) in 79% of 8400 + 66.66% of 4800 = 120% of 7200+ x% of 4784. by converting the percentages.
79% of 8400 = ( 79/100) x 8400
= 6636
66.66% of 4800 = (66.66/100)x4800
= 3199.68
120% of 7200 = (120/100)x7200
= 8640
x% of 4784 = (x/100) x 4784
we are given that, 79% of 8400 + 66.66% of 4800 = 120% of 7200+ x% of 4784. what is the value of x :
therefore, 6636 + 3199.68 = 8646 + (x/100) x 4784
(x/100) x 4784 = 6636 + 3199.68 - 8646
= 1189.68
(x/100) = 1189.68/4784
= 0.248
x = 0.248 x 100
therefore , the value of x is equals to 24.8 % or 0.248 which is approximated to 25 % that is option (b)
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PLEASEEEEE HELPPPPPP ASAPPPPP
Hexadecimal numbers use the 16 "digits": 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. a) What is the base 10 value of the 3-digit hexadecimal number 2E5? Show your work. b) Find the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters, like ACC. (Note: Part (b) has nothing to do with part (a) of this problem.) Write your answer as a simplified fraction, not a decimal or percent. Explain briefly how you got it.
The base 10 value of the 3-digit hexadecimal number 2E5 is 741. The probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters is 27/512.
a) To convert a hexadecimal number to its decimal equivalent, you can use the following formula:
(decimal value) =\((last digit) * (16^0) + (second-to-last digit) * (16^1) + (third-to-last digit) * (16^2) + ...\)
Let's apply this formula to the hexadecimal number 2E5:
(decimal value) = \((5) * (16^0) + (14) * (16^1) + (2) * (16^2)\)
= 5 + 224 + 512
= 741
Therefore, the base 10 value of the 3-digit hexadecimal number 2E5 is 741.
b) To find the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters, we need to determine the number of valid options and divide it by the total number of possible 3-digit hexadecimal numbers.
The number of valid options with only letters can be calculated by considering the following:
The first digit can be any letter from A to F, giving us 6 choices.The second digit can also be any letter from A to F, including the possibility of repetition, so we have 6 choices again.The third digit can also be any letter from A to F, allowing repetition, resulting in 6 choices once more.Therefore, the total number of valid options is 6 * 6 * 6 = 216.
The total number of possible 3-digit hexadecimal numbers can be calculated by considering that each digit can be any of the 16 possible characters (0-9, A-F), allowing repetition. So, we have 16 choices for each digit.
Therefore, the total number of possible 3-digit hexadecimal numbers is 16 * 16 * 16 = 4096.
The probability is then calculated as:
probability = (number of valid options) / (total number of possible options)
= 216 / 4096
To simplify the fraction, we can divide both numerator and denominator by their greatest common divisor, which in this case is 8:
probability = (216/8) / (4096/8)
= 27 / 512
Therefore, the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters is 27/512.
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Need help! It’s due today…..
The above prompt has to do with linear functions. The answers to same are given below.
What is the explanation for the above response?12-14) the graph of the functions are attached accordingly.
15) a) The cost of buying s songs can be calculated using the following function:
C(s) = 0.9s
b) To find the cost of buying 5 songs, we can substitute s = 5 into the function:
C(5) = 0.9(5) = 4.5
So the cost of buying 5 songs is $4.50.
16) he linear function that relates y to x. y = (1/3)x + 3
We can see that the x-coordinates increase by 3 as we move from one point to the next, and the y-coordinates increase by 1 as we move from one point to the next. This suggests that the slope of the line connecting these points is:
slope = (change in y) / (change in x) = 1/3
We can then use the point-slope form of the equation of a line, using one of the points, say (-6,1), as the reference point:
y - y1 = m(x - x1)
where y1 = 1, x1 = -6, and m = 1/3. Substituting in these values, we get:
y - 1 = (1/3)(x + 6)
Expanding and simplifying, we get:
y = (1/3)x + 3
This is the linear function that relates y to x.
17) Since all values of y are constant (-7) regardless of the value of x, we cannot write a linear function that relates y to x. Instead, we can say that y is a constant function with a value of -7. In other words, y = -7 for all values of x.
18) a. To write the linear function that relates y to x, we need to find the slope and y-intercept of the line that passes through the given points. Using the formula for slope, we have:
slope = (change in y) / (change in x)
= (y2 - y1) / (x2 - x1)
= (15 - 12) / (8 - 6)
= 1.5
Using the slope-intercept form of a linear function (y = mx + b), where m is the slope and b is the y-intercept, we can write:
y = 1.5x + b
To find the value of b, we can use any of the given points. Let's use (6, 12):
12 = 1.5(6) + b
b = 3
Therefore, the linear function that relates y to x is:
y = 1.5x + 3
b. The slope of the linear function is 1.5. This means that for every increase of one week in the puppy's age, its weight increases by 1.5 pounds on average. The y-intercept of the function is 3, which means that when the puppy is born (at 0 weeks), its weight is estimated to be 3 pounds.
c. To find out after how many weeks the puppy will weigh 33 pounds, we can use the linear function we found in part (a):
y = 1.5x + 3
Substitute y = 33 and solve for x:
33 = 1.5x + 3
30 = 1.5x
x = 20
Therefore, the puppy will weigh 33 pounds after 20 weeks.
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Can anyone help with this?
Answer: 1. Not a right triangle 2. Right Triangle 3. Right triangle 4. Right triangle 5. Not a right triangle
Step-by-step explanation:
the right triangle has to have a pattern to go by, so only evens or only odd sides.
Word Problem 9-28 (Static) [LU 9-2 (2)] Larren Buffett is concerned after receiving her weekly paycheck. She believes that her deductions for Social Security, Medicare, and Federal Income Tax withholding (FIT) may be incorrect. Larren is paid a salary of $4,100 weekly. She is married, claims 3 deductions, and prior to this payroll check, has total earnings of $128,245. What are the correct deductions for Social Security, Medicare, and FIT? Assume a rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. (Use Table 9.1 and Table 9.2.) (Round your answers to the nearest cent.) Deductions Social Security taxes Medicare taxes FIT
The correct deductions for Larren Buffett's paycheck are as follows: Social Security taxes: $317.68, Medicare taxes: $59.45, and Federal Income Tax withholding: $475.90.
What are the accurate deductions for Larren Buffett's paycheck?Larren Buffett, who is paid a weekly salary of $4,100, is concerned about the accuracy of her deductions for Social Security, Medicare, and Federal Income Tax withholding (FIT). To determine the correct deductions, we need to consider her marital status, number of claimed deductions, and prior earnings. According to the information provided, Larren claims 3 deductions and has total earnings of $128,245. For Social Security, the rate of 6.2% applies to a maximum of $128,400, resulting in a deduction of $317.68. Medicare tax, calculated at 1.45%, amounts to $59.45. As for FIT, further details are not provided, so we cannot determine the exact amount without additional information.
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a rare coin is currently worth $450. the value of the coin increases 4% each year. determine the value of the coin after 7 years.
Answer:310.45
Step-by-step explanation:
360 times 30
Long multiplication plzz
what is the solution to this system of equations?
Answer:
(0, -5)
Step-by-step explanation:
Multiply both sides of the second equation by 6 to get 6y=3x+30. Then, subtract the second equation from the first to cancel out the x's. y-6y=-5y, 3x-5-3x-30=-25. -5y=-25, so y=-5. Substitute -5 into the first equation to get 3x-5=-5, add five to both sides: 3x=0, divide by 3: x=0. The ordered pair is (0, -5). Hope this is correct and helps! :)
what is the range of standard irq numbers? question 2 options: a) 0-7 b) 0-15 c) 0-32 d) 8-15
The range of standard IQR (Interquartile Range) numbers is option b) 0-15. The correct option is B).
The interquartile range (IQR) is a measure of variability used in statistical analysis. The IQR is often used as a measure of spread because it is less sensitive to outliers than the range. Standard IQR numbers are values that have been standardized to fit within a specific range of 0-15.
Standardizing the IQR allows for easier comparison of data across different datasets, as it ensures that the IQR values fall within a consistent range. The range of standard IQR numbers is often used in educational assessments and other standardized tests to report the variability of student performance or other metrics. So, the correct answer is option B).
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Use the Euclidean algorithm to find ged(707, 413), and find integers s, t such that 707s + 413t = gcd (707,413). (b) Are there integers x, y such that 707x +413y = 9? If there are, give an example. If there are no such r, y, then prove it.
a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1
Thus, gcd (707,413) = 1.
We can find the coefficients s and t that solve the equation 707s + 413t
= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71
= - 12 · 56 + 6 · 119 - 71
= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71
= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71
= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71
Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.
b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.
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Amanda pays $115.00 for shoes that are 20% off at everything shoes. at best footwear, the same shoes are 15% off, which makes them cost $7.00 less than their pre-sale price at everything shoes.
The shoes at Best Footwear cost $122.19, which is $7.00 less than their pre-sale price at Everything Shoes.
The original price of the shoes Amanda bought at Everything Shoes is $115.00, and they are on sale for 20% off. On the other hand, the same shoes at Best Footwear are on sale for 15% off and cost $7.00 less than the pre-sale price at Everything Shoes.
To find the original price of the shoes at Everything Shoes, we need to divide the sale price by 1 minus the discount rate (20%).
Original price = Sale price / (1 - discount rate)
Original price = $115.00 / (1 - 0.20)
Original price = $115.00 / 0.80
Original price = $143.75
Now, let's find the sale price of the shoes at Best Footwear. We'll use the original price from Everything Shoes and the discount rate of 15%.
Sale price at Best Footwear = Original price - (Original price * discount rate)
Sale price at Best Footwear = $143.75 - ($143.75 * 0.15)
Sale price at Best Footwear = $143.75 - $21.56
Sale price at Best Footwear = $122.19
Therefore, the shoes at Best Footwear cost $122.19, which is $7.00 less than their pre-sale price at Everything Shoes.
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What’s the purchase price??
Answer:
$18,000
Step-by-step explanation:
Trust me it's right
Jada completed her homework in 40 minutes. It took Andre 175% of Jada's time to complete the same homework. a) Who took longer to complete their homework? b) How long did it take Andre to complete his homework? Show your thinking on the tape diagram or another model.
add explanation too please
Answer: I think it took Andre 70 minutes
Step-by-step explanation:
Answer:
A.) Andre B.) 70 min
Step-by-step explanation:
A.) the key words are that it took andre 175% of Jada's time
B.)just take Jadars time 40 and multiply it by 175% or 1.75 as for the digram show Jadars as 100% and Andres as an extra 175% sorry i cant realy draw one right now
Rob put some money in an investment account. He uses the function V(t)=480(1.065)t to model the total value of the account, in dollars, after t years. What does the number 480 represent?
The initial value of the investment is denoted by 480 in the function.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
V(t) = 480 \((1.065)^t\)
V is the total value after t years.
Now,
480 is constant and it indicates the initial value of the investment.
1.065 indicates that there is an increase of 6.5% each year.
Thus,
480 in the function denotes the initial value of the investment.
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use the axioms and theorem to prove theorem 6.1(a), specifically that 0u = 0.
The additive identity property, we know that for any vector v, v + 0 = v. Applying this property, we get:
0 = 0u
To prove theorem 6.1(a), which states that 0u = 0, where 0 represents the zero vector and u is any vector, we will use the axioms and properties of vector addition and scalar multiplication.
Proof:
Let 0 be the zero vector and u be any vector.
By definition of scalar multiplication, we have:
0u = (0 + 0)u
Using the distributive property of scalar multiplication over vector addition, we can write:
0u = 0u + 0u
Now, we can add the additive inverse of 0u to both sides of the equation:
0u + (-0u) = (0u + 0u) + (-0u)
By the additive inverse property, we know that for any vector v, v + (-v) = 0. Applying this property, we get:
0 = 0u + 0
Now, let's subtract 0 from both sides of the equation:
0 - 0 = (0u + 0) - 0
By the additive identity property, we know that for any vector v, v + 0 = v. Applying this property, we get:
0 = 0u
Hence, we have proved that 0u = 0.
Therefore, theorem 6.1(a) holds true.
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Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the tank is 40 cm by 28 cm. When he finished pouring the water, the tank was ⅔ full. ( 1L=1,000 cm 3).
By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm
How to find the height of the tank?We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.
So we can write:
27,238 cm³ = (2/3)*V
Then the volume of the tank is:
V = (3/2)*27,238 cm³ = 40,992 cm³
The base of the tank measures 40cm by 28cm, then:
B = 40cm*28cm = 1,120 cm²
Then the height H is such that:
H*1,120 cm² = 40,992 cm³
Solving for H:
H = (40,992 cm³)/(1,120 cm²) = 36.6cm
The height of the tank is 36.6 centimeters.
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If the cost of a barrel of oil is $50.00, how much is the cost of one gallon of that oil? (One barrel of fuel oil contains 42 gallons.)
Answer:
$1.20
Step-by-step explanation:
Help? If im given the option ill give you brainliest!
Answer:
Look at photo for answer, I have not done a piecewise function for a long time... so double check my work.
Step-by-step explanation:
Comparing the two ratios 2/4 and 1/2
2/4 is larger
Answer:
3.5 : 7 > 1.2 : 2.5.
Step-by-step explanation:
1. Compare the ratios 4 : 5 and 2 : 3.
Solution:
Express the given ratios as fraction
4 : 5 = 4/5 and 2 : 3 =2/3
Now find the L.C.M (least common multiple) of 5 and 3
The L.C.M (least common multiple) of 5 and 3 is 15.
Making the denominator of each fraction equal to 15, we have
4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15
Clearly, 12 > 10
Now, 12/15 > 10/15
Therefore, 4 : 5 > 2 : 3.
2. Compare the ratios 5 : 6 and 7 : 9.
Solution:
Express the given ratios as fraction
5 : 6 = 5/6 and 7 : 9 =7/9
Now find the L.C.M (least common multiple) of 6 and 9
The L.C.M (least common multiple) of 6 and 9 is 18.
Making the denominator of each fraction equal to 18, we have
5/6 = (5 ×3)/(6 ×3) = 15/18 and 7/9 = (7 ×2)/(9 ×2) = 14/18
Clearly, 15 > 14
Now, 15/18 > 14/18
Therefore, 5 : 6 > 7 : 9.
3. Compare the ratios 1.2 : 2.5 and 3.5 : 7.
Solution:
1.2 : 2.5 = 1.2/2.5 and 3.5 : 7 =3.5/7
1.2/2.5 = (1.2 ×10)/(2.5 ×10 ) = 12/25 and 3.5/7 = (3.5 ×10)/(7 ×10) = 35/70 = 1/2
[We removed the decimal point from the ratios now, we will compare the ratio]
Now find the L.C.M (least common multiple) of 25 and 2
The L.C.M (least common multiple) of 25 and 2 is 50.
Making the denominator of each fraction equal to 50, we have
= 12/25 = (12 ×2)/(25 ×2) = 24/50 and 1/2 = (1 ×25)/(2 ×25) = 25/50
Now, 25/50 > 24/50
Therefore, 3.5 : 7 > 1.2 : 2.5.
A binomial probability distribution with p = .3 is
a. bimodal
b. symmetrical
c. positively skewed
d. negatively skewed
A binomial probability distribution with p = 0.3 is c. positively skewed.
A binomial probability distribution with p = 0.3 is positively skewed. This means that the distribution is skewed to the right. In a binomial distribution, the skewness is determined by the value of p, which represents the probability of success in each trial. When p is less than 0.5, as in this case (p = 0.3), the distribution tends to be positively skewed.
The correct answer is c. positively skewed.
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What is a reasonable estimate for the solution?
A. (2 1/3, -4 3/4)
B. (-4 3/4, 2 1/3)
C. (2 2/3, -4 1/2)
D. (-4 1/2, 2 2/3)
Answer:
im pretty sure its d
Step-by-step explanation:
Answer:
D would be the correct answer.
have a blessed day
Step-by-step explanation: