Which equation has the steepest parabola?
A. (x+2)2=−0.5(y+3)
B. (x−1)2=5(y+3)
C. x2=8(y−1)
D. (x+2)2=−10y
Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
[tex](y-k)=n(x-h)^2[/tex]
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
[tex]\dfrac{1}{n}(y-k)=(x-h)^2[/tex]
[tex]p(y-k)=(x-h)^2[/tex]
where [tex]p=\dfrac{1}{n}[/tex], the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, [tex]|-0.5|=0.5[/tex]
For option B, [tex]|5|=5[/tex]
For option C, [tex]|8|=8[/tex]
For option D, [tex]|-10|=10[/tex]
Since, the equation is option A has smallest value of |p|, therefore, the equation [tex](x+2)^2=-0.5(y+3)[/tex] represents the steepest parabola.
Hence, the correct option is A.
Which of the following properties is shown in the equation below? 3 × ( 6 × 2 ) = ( 3 × 6 ) × 2
distributive property
multiplicative identity property
associative property of multiplication
commutative property of multiplication
Answer:
Associative Property
Step-by-step explanation:
:)
2 bags of cat food cost $8.50, how much would 5 bags of cat food cost ?
Answer:
$42.05
Step-by-step explanation:
First do $8.50/2=4.25
This means that one bag of cat food is $4.25
Now you multiply 5*4.25=$21.25,
I hope this helps and is correct!
(2, 1), (0, -7)
Write an equation of the line that passes through the given points
Answer:
y=4x-7
Step-by-step explanation:
We know that the y intercept is -7 so we can have y=mx-7
And we can get the slope by using the slope formula (y2-y1)/(x2-x1)=m
(2,1) (0,-7)
x1 y1 x2 y2
(-7-1)/(0-2)
-8/-2 = 4
m=4
So just plug it into the equation to get:
y=4x-7
Answer:
y = 4x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the t- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (0, - 7)
m = [tex]\frac{-7-1}{0-2}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4
The line crosses the y- axis at (0, - 7) ⇒ c = - 7
y = 4x - 7 ← equation of line
If a train can travel 744 miles and 3 hours what is the unit rate that this train is traveling per hour
Answer:
248 mph (miles per hour)
Step-by-step explanation:
744 miles (in 3 hours) ÷ 3 hours = 248 mph (miles per hour)
Check if answer is correct:
248 mph × 3 hours = 744 miles in 3 hours
Final answer:
248 mph
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
The members of the Smithtown baseball team sell $5 raffle tickets and $20 raffle
tickets for a fundraiser. Emilio sells a total of 50 tickets and has collected $400.
The graph of the system of equations that represents this scenario is shown below.
Which of the following is the best interpretation of the solution to the system of
equations in context of the scenario?
A Emilio has sold 20 of the $20 raffle tickets and 50 of the $5 raffle tickets.
B Emilio has sold 50 of the $20 raffle tickets and 20 of the $5 raffle tickets.
C Emilio has sold 10 of the $5 raffle tickets and 40 of the $20 raffle tickets.
D Emilio has sold 40 of the $5 raffle tickets and 10 of the $20 raffle tickets.
Answer: d
Step-by-step explanation:
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?
sales
Answer:
12 sales
Step-by-step explanation:
a and b
65 per sale maximum commision 1300 so no base
40 per sale base 300
Set up equation:
[tex]65x=40x+300[/tex]
Solve:
[tex]25x=300[/tex]
[tex]x=12[/tex]
So they must have had 12 sales.
Hope this helps :D
PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help
Answer:
22 units
Step-by-step explanation:
Known Quantities:
AB = CD and AC = BDCalculations:
AB = 8AC = 3CD = 8BD = 3Final Calculations:
perimeter = 2 x (3+8)perimeter = 22somebody please help i made this worth 50 points i need help on a transversals test
Answer:
I do not know what this is
Step-by-step explanation:
Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per
day. There are 7.5 gallons in 1 cubic foot.
Use this information to complete parts (a) and (b) below.
(A) find the flow rate in units of cubic feet per second, compare this flow rate to a river with an average flow rate of 30,000cfs.
— the flow rate is ___ cfs, which is approximately ___% if the flow rate of river.
(B) the water level rose approximately ___ ft.
Full question:
Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per day. There are 7.5 gallons in 1 cubic foot. Use this information to complete parts (a) and (b) below. Click the loon to view the USCS measurements a. Find the flow rate in units of cubic feet per second (cs). Compare this flow rate to a river with an average flow rate of 30,000 cfs. The flow rate is cfs, which is approximately % of the flow rate of the river (Round to the nearest whole number as needed.) b. Assume that the flooded part of the city had an area of 8 square miles Estimate how much in foot) the water level rose in one day at the given flow rate. The water level rose approximately (Round to the nearest tenth as needed.)
Answer and explanation:
Peak rate= 8 billion gallons per day
7.5 gallons = 1 cubic feet
Given that
8 billion gallons= 24 hrs
And 24 hrs = 86400 seconds
8 billion gallons =86400 seconds
In one second =8000,000,000/86400
= 92,592.593 gallons
Units of cubic feet per second =92592.593/7.5= 12345.68 cubic feets
Therefore the flow rate in cubic feet per second = 12345.68 cubic feets
If we compare this to 30000 cubic feet per second flow rate of the river, it would be 12345.68/30000*100/1= 41.152% of the flow rate of the river
B) Given that the total cubic feet per day =86400*12345.68= 1066666752 cubic feet
And 1 mile = 5280 feet
1 square mile = 27878400 square feet
8 square miles = 8 × 27878400 = 223027200 square feet
To calculate the height,
The number of foot by which the water level rose in one day is
1066666752/223027200 = 4.7826 feet per day
is it grabbed or grab in this sentence
Answer:
grabbed
Step-by-step explanation:
just lose the is
Enter the first four terms.
Answer:
1/2, 2, 9/2, and 8.
Step-by-step explanation:
In this case, we have an explicit rule.
So, to find the nth term, we can simply substitute a value into our function and evaluate.
For the first term, n=1. Thus:
[tex]f(1)=\frac{(1)^2}{2}[/tex]
Evaluate:
[tex]f(1)=\frac{1}{2}[/tex]
Hence, our first term is 1/2.
For the second term, n=2. Thus:
[tex]f(2)=\frac{(2)^2}{2}[/tex]
Evaluate:
[tex]f(2)=\frac{4}{2}=2[/tex]
Hence, the second term is 2.
For the third term, n=3. Thus:
[tex]f(3)=\frac{3^2}{2}=\frac{9}{2}[/tex]
So, the third term is 9/2.
And for the fourth term, n=4. Thus:
[tex]f(4)=\frac{4^2}{2}=\frac{16}{2}=8[/tex]
Therefore, the fourth term is 8.
Hence, our first four terms are: 1/2, 2, 9/2, and 8.
Assume a random sample of the birth weights of 186 healthy babies has a mean of 3103 g and a standard deviation of 696 g. Construct a 95% confidence interval estimate of the mean weight of all healthy babies born to healthy mothers. What does the interval suggest about a recent study informing soon-to-be-parents that they can expect their new baby to weigh about 2980 g?
3002 g < μ < 3204 g; the 2980 g weight is less than the range values of the interval; however, it is close to the interval and could therefore easily represent an expected mean weight of new babies.
3002 g < μ < 3204 g; the 2980 g weight falls below the interval, suggesting that it is unlikely to be an expected value and is likely too low to represent an accurate population mean.
2879 g < μ < 3080 g; the interval suggests 3103 g is not a likely mean, proving the sample is biased; the recent study should be used as a basis for estimating new birth weights.
2879 g < μ < 3080 g; the 2980 g weight falls comfortably in the interval, which suggests that 2980 g is very likely to represent an accurate population mean of birth weights.
Answer:
Its B
Step-by-step explanation:
Luis
Ana
Javier
Precio ($)
100
140
80
Sarape
10
90
50
Aretes
4
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
6
Blusa
00
Precio rebajado ($)
45
63
Answer:
Espero y esto te ayude :) si me falto algo lo siento.
Step-by-step explanation:
Si se oferta un producto al 10% de descuento, esto significa que el precio final del producto será 90% del precio original. Para hallar estos datos, debemos usar una regla de tres, de la siguiente forma:
100% 90%
-------------------- → ---------------------------
Precio Original Precio con Descuento?
SARAPES
- Ana: descuento (14), precio rebajado 126
Precio rebajado = 140.90 / 100 = 126
Descuento: 140 - 126 = 14
- Javier: descuento (8), precio rebajado 72
Precio rebajado = 80.90 / 100 = 72
Descuento: 80 - 72 = 8
ARETES
- Luis: descuento (5), precio rebajado 72
Precio rebajado = 50.90 / 100 = 45
Descuento: 50 - 45 = 5
- Ana: Precio original (60) , descuento (6), precio rebajado 54
Precio original: X.0,10 = 6
X = 60
Precio rebajado: 60 - 6 = 54
- Javier: Precio original (40) , descuento (4), precio rebajado 36
Precio original: X.0,10 = 4
X = 40
Precio rebajado: 40 - 4 = 36
There are 18 girls in Mr. Brimley's math class. If 60% of the
students are giris, how many students are in Mr. Brimley's
math class?
A=18
B=27
C=30
D=36
Answer:
30
Step-by-step explanation:
look it up online
please help me with this! this was due yesterday and i need to get it done but im stuck on this question
Answer:
60* and 30*
Step-by-step explanation:
If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle.
Answer:
m<qrt and m<trv because complementary angles add up to 90 degrees :)
Item 20
Write the word sentence as an equation. Then solve.
The difference between a number p and 6 is −14.
Equation:
Solution: p=
Answer:
p-6=-14
Step-by-step explanation:
since it is said that it is the difference between them
Sarah is 5 years old and Clayton is x years older than Sarah.
In how many years will Clayton be three times older than Sarah is now?
Answer:
10-x
Step-by-step explanation:
hope it helped
In 10 years Clayton will be three times older than Sarah is now.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Sarah is 5 years old and Clayton is x years older than Sarah.
∴ Clayton is (x + 5) years old.
So, In (x + 5) = 3×5 years Clayton will be three times older than Sarah is now.
∴ (x + 5) = 15.
x + 5 = 15.
x = 15 - 5.
x = 10.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ5
find the value of :x^2+2xy+y^2-3x-3y-1
have: x^2-y=y^2-x (x[tex]\neq[/tex]y)
Answer: The answer is x^2+2xy+2y^2–3x–3y–1
Step-by-step explanation: Move 2 to the left of y^2.
Is there a proportional relationship between time and the cost of the cell phone plan?
Answer:
no
Step-by-step explanation:
Which angles are adjacent angles?
11. Choose the correct solution and graph for the inequality.
Y+1/5>1/3
Answer:
[tex]y > \frac{2}{15} [/tex]
simplify 0.00021 * 0.000028 and Express your answer in standard form(scientific notation)
Answer:
=58.8*10⁻⁴
Step-by-step explanation:
0.00021 * 0.000028 = 210*10⁻⁶ * 28*10⁻⁶
= (210*28)10⁻⁶
= 5880*10⁻⁶
= 58.8 * 10⁻⁴
Answer: 2.1×10⁻4 and 2.8×10⁻5
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. 2.1×10⁻4
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. 2.8×10⁻5
Use the table to find the ratio. Enter the ratio as a fraction in simplest form.
Color of socks white black blue brown
Number of socks 5 8 4 6
The ratio of blue socks to nonblue socks is
Answer:
4/19
Step-by-step explanation:
72.50$ markup 30% plz
Answer:
$94.25
Step-by-step explanation:
You would also have a $21.75 profit
Answer:
$94.25
Step-by-step explanation:
72.5*0.3=21.75
21.75+72.5=94.25
What would the rate of change be for this?
Answer:guess
Step-by-step explanation:?
write an inequality to represent: ten is no more then four then a number
Answer:
10 ≤ x - 4
Step-by-step explanation:
Answer:
10 < x-4
Step-by-step explanation:
write a conditional statement from each given statement.
Congruent segments have equal measures.
Answer:
Our conditional statement should be written as:
'If they are congruent segments, then they have equal measures'.
Step-by-step explanation:
When we talk about conditional statements, it means we are about the statements which should contain 'if' and 'then'.
We need to recognize the hypothesis - conditions - and the conclusion - result - in the sentence. Then we should mention it as an 'if', and 'then' statement.In our example, our hypothesis must be 'if they are congruent segments' and the conclusion should be 'then they have equal measures'.
Therefore, we conclude that our conditional statement should be written as:
'If they are congruent segments, then they have equal measures'.
The ratios of the measure of two supplementary angles is 5:7. What is the
measure of the larger angle?
Answer:
105 degrees
Step-by-step explanation:
You first add 5 and 7 which gives you 12. Then, since two supplementary angles add up to 180, you divide 180 by 12 which gives you 15. Next, since 7 is the larger of the two, multiply 7 by 15 giving you 105. To check your work, subtract 105 from 180 giving you 75. Next, put this as a fraction- 75/105 and simplify giving you 5/7 which can also be written as 5:7.
Which algebraic expression means "four less than three times a number"?
O 4-12
O 3n-4
O 4-3
O n-4
Answer: is 4-3
Step-by-step explanation:
4-3