Answer:
i: the domain.
iii: the axis of symmetry.
Step-by-step explanation:
We have the function:
f(x) = x^2
The domain of this function is the set of all real numbers, and the range is:
R: [0, ∞)
(because 0 is the minimum of x^2)
Now we have the transformation:
d(x) = f(x) + 9 = x^2 + 9
Notice that this is only a vertical translation of 9 units, then there is no horizontal movement, then the axis of symmetry does not change.
Also, in d(x) there is no value of x that makes a problem, so the domain is the set of all real numbers, then the domain does not change.
And d(x) = x^2 + 9 has the minimum at x = 0, then the minimum is:
d(0) = 0^2 + 9 = 9
Then the range is:
R: [9, ∞)
Then the range changes.
So we can conclude that the attributes that will be the same for f(x) and d(x) are:
i: the domain.
iii: the axis of symmetry.
Nick went canoeing on the river he traveled 1 mile in 17 minutes.at this rate,how far will he travel in an hour and 25 minutes
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
An hour and 25 minutes is 85 minutes. Using the given information we can find the distance d with the proportion ...
[tex]\dfrac{\text{distance}}{\text{time}}=\dfrac{d}{85\text{ min}}=\dfrac{1\text{ mi}}{17\text{ min}}\\\\d=\dfrac{85\text{ min}}{17\text{ min}}(1\text{ mi)}\qquad\text{multiply by $85$ min}\\\\d=5(1\text{ mi})\qquad\text{simplify}\\\\d=\boxed{5\text{ mi}}[/tex]
In 1 hour and 25 minutes, Nick will travel 5 miles.
Sarah has an $80 gift card to a store at the mall. She uses the gift card to buy a
shirt for $14, and also wants to buy some earrings for her and her friends. Each
pair of earrings cost $6. Which one of these inequalities represents the situation,
where e is the number of pairs of earrings Sarah can buy?
Answer:
80-14= 66
66
11x6= 66
So she can get 11 pairs of earrings
I think I’m doing this wrong but I hope this gives u an idea
Step-by-step explanation:
Answer:
She can buy 11 pairs
Step-by-step explanation:
$80-14=66
Each costs 6, so 66/6=11
Sarah can buy 11 pairs.
How do you find the slope to (3,12),(3,-17)
Answer:
you plot them together
1. draw a t shape and then plot it like x then y
Answer:
trust your instincts
Step-by-step explanation:
decide on your own destiny i can not interfeir
There are 12 counters. One third of the counters are yellow. How many counters are yellow?
Answer:
I think 4
Step-by-step explanation:
1/3 is how many are yellow. so if u do 12/3=4
Answer:
4
Step-by-step explanation:
1/3 is equivalent to 4×1 and 2/3 is equivalent to 4×2 and 3/3 is equivalent to 4×3 which equals 12 so there are 4 counters that are yellow.
A rectangular city park is 6/8 mile long the park has an area of 1/4 Mile2. What is the width of the park?
I need an answer! Please!
Answer:
The answer is 1/3
Step-by-step explanation:
divide 6/8 and 1/4 and you will get 1/3
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radious of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104
Answer: b. 8
Step-by-step explanation: I don’t have work
The radius of the circle in inches should be considered as the 8 when the measurement of the central angle is given.
Calculation of the radius of the circle;Since
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees.
Also we know that
Area of the sector = [tex]65 / 360 *[/tex] Area of circle
[tex]104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2\\\\[/tex]
r = 8
Hence, The radius of the circle in inches should be considered as the 8.
Learn more about circle here: https://brainly.com/question/15593101
How many cups are in 16 gallons?
64
256
128
2,048
Answer:
256 cups
Each gallon has 16 cups so 16 gallons would have 16*16 cups. 16*16 = 256
Lisandra made 18.3 quarts of split pea soup for her restaurant. She wants to put the
same amount of soup into each of 15 containers.
How much soup should Lisandra put into each container?
Lisandra should put
quarts into each container.
Answer: 3.66
Step-by-step explanation:
18.3 divided by 15
Keeping it simple by asking for more help. Question 10.
Answer: I will go with A or you can choose d if you want
Step-by-step explanation:
PLEASE ANSWER QUICKLY!
Kendra knits hats. She starts with 3 3/4 yards of yarn. After knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left. At what rate does the amount of yarn change?
Answer:
The amount of yarn changes at 0.5 yards per hour.
Step-by-step explanation:
Since Kendra knits hats, and she starts with 3 3/4 yards of yarn, but after knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left, to determine at what rate does the amount of yarn change the following calculation must be performed:
3/4 = 0.75
1/4 = 0.25
1/8 = 0.125
3.75 - 1.125 = 2.625
2.625 / 5.25 = 0.5
Thus, the amount of yarn changes at 0.5 yards per hour.
Determine the slope of the line whose equation is 2x-3y=5
Help and show work please
Answer:
11111111 111 1 1 1 11
Step-by-step explanation:
Answer:
ok 1+1= 25 and add 3000 and you get 1
Step-by-step explanation:
(ab)(6a^5b)(-ab) simplified please
Answer:
25b3a+93b+60a=30a2+b2
Step-by-step explanation:
How do you simplify 32/48
Answer:
2/3
Step-by-step explanation:
divide numerator and denominator by 16
32÷16=2
48÷16=3
answer is 2/3
Thus, 2/3 is the simplified fraction for 32/48 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 32/48 by using the prime factorization method.
Help! I will give you A 100 points
Answer:
3. A = (0,-3)
B = (4,-2)
C = (-1,1)
4. A = (0,-6)
B = (4,-5)
C = (-1,-2)
Step-by-step explanation:
3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).
4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.
So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).
I hope this helped you.
your answers:
3. A = (0,-3)
B = (4,-2)
C = (-1,1)
4. A = (0,-6)
B = (4,-5)
C = (-1,-2)
mario is saving his money in order to buy a new video game, he decides to save $5 of his allowance every week. the equation he writes to describe the total amount of money he will save each week is shown below.
How is basic math used in a business? Give me three examples.
Answer:
Understanding basic business math is necessary for profitable operations and accurate record keeping. Knowing how to add, subtract, multiply, divide, round and use percentages and fractions is the minimum you need to price your product and meet your budget.
hottest centralisation
Answer:
centralisation mean a direction explain that we often a high how well we cancan predict future actions of others.
Step-by-step explanation:
The measures of two angles of a triangle are 22 and 85 degrees. Find the measure of the third angle.
Answer: [tex]73^{\circ}[/tex]
Step-by-step explanation:
Angles in a triangle add to 180 degrees.
complete the table by supplying the measure of inscribed angle and its intercepted arc
Answer/Step-by-step explanation:
Based on the inscribed angle theorem, any inscribed angle = ½ of its intercepted arc
Thus:
✔️Inscribed angle = 57°
Intercepted arc would be: 2*57 = 114°
✔️Intercepted arc would be: 123°
Inscribed angle = ½(123) = 61.5°
✔️Intercepted arc would be: 46°
Inscribed angle = ½(46) = 23°
✔️Inscribed angle = 69°
Intercepted arc would be: 2*69 = 138°
✔️Intercepted arc would be: 155°
Inscribed angle = ½(155) = 77.5°
what time will a car traveling at an average speed of 30km/hr cover a distance of 45km
Answer:
1 1/2 hr
Step-by-step explanation:
What is the value of k if (1, 1) is a solution of 2x + 7y=k?
Find the value of 2.
35°
xº
(x + 95)°
Answer:
x = 25°
Step-by-step explanation:
The sum of the interior angles of a triangle = 180°
180° = 35° + x° + x + 95°
2x° = 50°
x = 25°
Mai wants to tile the floor of her kitchen. Each tile has an area of 1 square foot. The floor of her kitchen is 11 feet by 16 feet. How many tiles does she need?
This is what my kid asked me
Answer:
176 tiles
Steps by step:
3/2 inches snow fell in 3/4 of an hour which two statements are true
Answer:
I don't see the two statements
Step-by-step explanation:
Answer:
A and E Usa test prep
Step-by-step explanation:
I know it might be late by now but this is for the people who are searching for the answer for the future
Please help ..........
work out the value of angle x 62 degrees
Answer:
180- (62*2)= x( angles opposite to equal sides)
180-124= x
x= 56
Step-by-step explanation:
Be Strong Now, Because Things Will Get Better. It Might Be Stormy Now, But It Can't Rain Forever.
Answer:
aw ty but is there a question?
Step-by-step explanation:
Please help me I wanna go to sleep
What is true about this sequence?
8000, 4000, 2000, 1000, ...
Answer:
B
Step-by-step explanation:
each consecutive term is divided by 2
Ford provides an option of a sunroof and side air bag package for its Windstar model. This package costs$1400. Ford wants todetermine the percentage of Windstar buyers who would pay $1400 extra for the sunroof and side air bags. How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers
Answer:
601 buyers must be surveyed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers?
We need to survey n buyers. n is found when [tex]M = 0.04[/tex]. We dont have an estimate for the proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.3[/tex]
Rounding up
601 buyers must be surveyed.