Add all his expenses together:
1200 + 200 + 200 + 50 + 100 + 50 = $1,800
Subtract his expenses from his pay:
1950 - 1800 = 150
Divide how much the emergency savings is by the amount left over per month:
1500/150 = 10
it will take 10 months
Find the vertex of the quadratic function:
y=1/2x^2 + 8x – 50
Answer:
definition
The vertex form of a quadratic function is given by
f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola.
FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form". To avoid confusion, this site will not refer to either as "standard form", but will reference f (x) = a(x - h)2 + k as "vertex form" and will reference f(x) = ax2 + bx + c by its full statement.
When written in "vertex form":
• (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.
• the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0).
• the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).
• notice that the h value is subtracted in this form, and that the k value is added.
If the equation is y = 2(x - 1)2 + 5, the value of h is 1, and k is 5.
If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6.
divider
button To Convert from f (x) = ax2 + bx + c Form to Vertex Form:
Method 1: Completing the Square
To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example.
example Convert y = 2x2 - 4x + 5 into vertex form, and stat
Step-by-step explanation:
My teacher asked me to round 64,400 to the nearest thousand. I think that the answer is 65,000. Did I round correctly?
Answer: unfortunately no
Step-by-step explanation:
When rounding numbers...
if the number is less than 5, round down. Other than that 5 and up you round up.
You rounded up, 4 to 5 thousand. 4 is less than 5 so you should had rounded down, your answer is 60,000
HELPPPPERZ its dude today :)
Answer:
34 or B
Step-by-step explanation:
180-112=68
68/2=34
Since the 2 angles equal 180, and we already know one is 112, we can subtract that. and because it is 2 times a number, we need to get half of whatever that number is, which was 68, and we got 34. this would be the value of y, because when plugged in, 112+2(34)=180.
please mark as brainlest.
Find an equation for the line that passes through the points (1,-3) and (-3,3)
Answer:
x1=1, x2=-3
y1=-3, y2=3
m=y2-y1/x1-x2
m=3-(-3)/-3-1
m=-3/2
since Y=mx+c
Then,Y=-3/2x+c
Hope! It will help you!!!
1. WRUF 103.7 FM is giving away tickets to a concert. Tim, the general manager of the
radio station, plans to give away upper-level and mid-level seats that cost $25 and
$40, respectively. Tim wants to give away at least 25 tickets, but he has a budget
constraint of $1,000.
part A: write a system of two inequalities that describe this situation
part B: Write one possible solution to the problem in sentence form
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Upper level seat = $25
Mid level seat = $40
Number of tickets to give away is at least 25
Budget constraint = $1000
part A: write a system of two inequalities that describe this situation
Number of tickets constraint:
Upper level + mid level ≥ 25
u + m ≥ 25
Cost constraint :
$25u + $40m ≤ $1000
Part B:
Give away 10 upper level seat tickets and 15 mid level seat tickets
Which point does NOT lie on the graph of the line x + 2y = 9?
DO
A) (1,4)
B) (2, -1)
C) (3, 3)
D) (5,2)
Answer:
b (2, -1) is your answer for this question
3. Scottie's Scooter Rental
rents scooters for $35.00
and $0.30 per mile. Define
the variables and write a
linear function to represent
the situation.
Answer:
The answer is y = 0.3x + 35
Step-by-step explanation:
Given;Scottie's scooter rental rents scooters for $35Extra rent for $0.3 per mileHere, 0.3 is variable and 35 is constant
So,
y = 0.3x + 35
Thus, The answer is y = 0.3x + 35
-TheUnknownScientist 72
Ben had $25 he spent $6.55von lunch and $10 on top up
(a) How much did he spent altogether?
(b) How money did he left?
Answer:
A. 16.55$
B. 8.45$
Step-by-step explanation:
simply add 10 and 6.55 to get to get the total amount spent. Then subtract the answer you got from 25 to get the total amount left.
Answer:
(a) $16.55
(b) $8.45
Step-by-step explanation:
The cost of lunch added to the additional $10 Ben spent totals to $16.55
When we subtract that number from his original amount ($25) we get $8.45
Hope this helps! Have a great day!
Which are true if figure DEFG is reflected across the x-axis? Check all that apply.
Answer:
1.D(0, 4) → D'(0, –4)
2.E(–2, 0) → E'(–2, 0)
3.The perpendicular distance from G' to the x-axis will equal 2 units.
4.The perpendicular distance from D' to the x-axis will equal 8 units.
5.The orientation will be preserved.
Step-by-step explanation:
D(0, 4) becomes D'(0, –4) and E(–2, 0) becomes E'(–2, 0).
We know that the rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
The coordinate of D(0, 4) becomes D'(0, –4) and coordinate of E(–2, 0) becomes E'(–2, 0).
3.The perpendicular distance from G' to the x-axis is 2 units.
4.The perpendicular distance from D' to the x-axis is 8 units.
Hence D(0, 4) becomes D'(0, –4) and E(–2, 0) becomes E'(–2, 0).
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1) Azalee loves stuffed animals! Initially she had 10 stuffed animals. Her collection continues to grow at a rate of 24% per year. How many stuffed animals will she have in 6 years? Group of answer choices 51 stuffed animals 24 stuffed animals 47 stuffed animals 36 stuffed animals
Answer:
B. 24 stuffed animals
Step-by-step explanation:
Initial amount of animal = 10
If her collection continues to grow at a rate of 24% per year, then increment in number of animal after 1 year will be:
24% of 10
= 0.24×10
= 2.4
Total increment after 6years will be:
= 2.4×6
= 14.4
Total stuffed animal that she will have after 6years = initial amount + increment = 10+14.4
Total stuffed animal that she will have after 6years = 24.4 ≈ 24 stuffed animals
(-6,8); perpendicular to y = -3/2x -1
Answer:
[tex]y = \frac{2}{3} x + 12[/tex]
Step-by-step explanation:
[tex]y = - \frac{3}{2} x - 1[/tex]
The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.
Thus, gradient of given line=[tex] - \frac{3}{2} [/tex].
The product of the gradients of perpendicular lines is -1.
(Gradient of line)(-3/2)= -1
Gradient of line
[tex]- 1 \div ( - \frac{3}{2} ) \\ = - 1( - \frac{2}{3} ) \\ = \frac{2}{3}[/tex]
Substitute m=[tex]\frac{2}{3} [/tex] into y=mx+c:
[tex]y = \frac{2}{3} x + c[/tex]
To find the value of c, substitute a pair of coordinates.
When x= -6, y= 8,
[tex]8 = \frac{2}{3} ( - 6) + c \\ \\ 8 = - 4 + c \\ c = 8 + 4 \\ c = 12[/tex]
Thus, the equation of the line is [tex]y = \frac{2}{3} x + 12[/tex].
Kaylee bought three pounds of strawberries for $24.00. What is the price, in dollars
per ounce of strawberries?
1 pound = 16 ounces
Before you try that problem, answer the question below.
How many ounces of strawberries did Kaylee buy?
Answer: 0.50 cents per ounce. The amount of ounces is 48.
Step-by-step explanation: hope this helps
Answer:
Kaylee bought 48 and the price is $0.50
Step-by-step explanation:
1 pound = 16 oz
so 3 pounds = 48 oz
And then you get $0.50 when you doa step by step explanation comment if you need to know how.
finding measure using triangles
Answer: z=43
Step-by-step explanation:
Answer:
37°
Step-by-step explanation:
∠ABC +∠BAC +∠BCA= 180°
41° + 102° + ∠BCA= 180°
∠BCA= 37°
The diameter of a circle is 14 inches. What is the circle's area
use 3.14 for PI
Answer:
153.86 inches²
Step-by-step explanation:
How do we find the radius of a circle?
The radius of a circle is 1/2 of the diameter, so 14/2 = 7 inchesHow do we find the area of a circle?
We can find the area of a circle by using πr², where r = radius. We're given the radius as 7 inches and pi as 3.14.Solving
[tex]3.14*7^2[/tex] [tex]3.14*49[/tex] [tex]153.86[/tex]Therefore, the answer is 153.86 inches².
Have a lovely rest of your day/night, and good luck with your assignments! ♡
The area of the circle is 153.86 square inches.
We have,
Diameter = 14 inch
Radius= 14/2 = 7 inch
Now, the formula for area of a circle,
Area = π (radius)²
Now we can calculate the area using the radius:
Area = 3.14 x (7 inches)²
Area = 3.14 x 49 square inches
Area ≈ 153.86 square inches
Therefore, the area of the circle is 153.86 square inches.
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Cecil sold vegetables at the farmers market on Saturday and Sunday. On Saturday, he collected twenty $1 bills, six $5 bills, four $10 bills, and five $20 bills. On Sunday, he collected thirty $1 bills, four $5 bills, five $10 bills, and one $20 bill. How much money did Cecil collect in total?
Answer:
$250.00
Step-by-step explanation:
twenty $1 bills- 20 x 1 = 20
six $5 bills- 6 x 5 = 30
four $10 bills- 4 x 10 = 40
five $20 bills- 5 x 20 = 100
thirty $1 bills- 30 x 1 = 30
four $5 bills- 4 x 5 = 20
five $10 bills- 5 x 10 = 50
one $20 bill- 1 x 20 = 20
Add the bold totals together and get the final answer of $250.00
On a coordinate plane, 5 rectangles are shown. Rectangle L M N P has points (negative 5, 1), (negative 5, 4), (negative 3, 4), (negative 3, 1). Rectangle 1 has points (negative 2, 0), (0, 0), (negative 2, negative 3), (0, negative 3). Rectangle 2 has points (1, negative 1), (1, negative 3), (4, negative 1), (4, negative 3). Rectangle 3 has points (2, 1), (2, 4), (4, 1), (4, 4). Rectangle 4 has points (0, 0), (0, 3), (2, 0), (2, 3).
Which figure represents the final image after composition ry-axis ◦ T3, -1 is applied to rectangle LMNP?
1
2
3
4
Answer:
On a coordinate plane, 5 rectangles are shown. Rectangle L M N P has points (negative 5, 1), (negative 5, 4), (negative 3, 4), (negative 3, 1). Rectangle 1 has points (negative 2, 0), (0, 0), (negative 2, negative 3), (0, negative 3). Rectangle 2 has points (1, negative 1), (1, negative 3), (4, negative 1), (4, negative 3). Rectangle 3 has points (2, 1), (2, 4), (4, 1), (4, 4). Rectangle 4 has points (0, 0), (0, 3), (2, 0), (2, 3).
Which figure represents the final image after composition ry-axis ◦ T3, -1 is applied to rectangle LMNP?
1
2
3
4
it is number 4
Answer:
4
Step-by-step explanation:
M is the midpoint of point A (5,4) and point B (15,0)
What is the x- coordinate of M
Answer:
x = 10
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = A(5, 4) and (x₂, y₂ ) = B(15, 0) , then
M = ( [tex]\frac{5+15}{2}[/tex], [tex]\frac{4+0}{2}[/tex] ) = ( [tex]\frac{20}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (10, 2 )
The x- coordinate of M = 10
Cheryl ran three laps during her physical education class. If her times were 1.23 minutes, 1.04 minutes, and 1.18 minutes,
what was her average lap time
1.19
1.15
1.21
1.17
Answer:
1.15
Step-by-step explanation:
You add up all three numbers then divide by 3
The average lap time will be 1.15 minutes. The correct option is B.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Given that Cheryl ran three laps during her physical education class. If her times were 1.23 minutes, 1.04 minutes, and 1.18 minutes.
The average will be calculated as,
Average = ( 1.23 + 1.04 + 1.18 ) / 3
Average = ( 3.45 / 3 )
Average = 1.15
Hence, the average is 1.15.
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A you-pick blueberry farm offers 6 lbs of blueberries for $16.50.
A second number is four times the first. Their sum is 50. Fine the numbers.( show work )
Answer:
Let the number(second) be "P"
The first number= 4×P = 4P
4P + P = 50
5P = 50
P = 50
5
P = 10(second number)
First number = 4×10 = 40
Therefore the numbers are 40 and 10
Use the equation for variance below, along with the given data set, to answer the following questions. sigma squared = startfraction (x 1 minus mu) squared (x 2 minus mu) squared ellipsis (x n minus mu) squared over n endfraction what does the numerator evaluate to? what does the denominator evaluate to? the variance equals:
The given equation will be [tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]
What will be the value of variance?From given data - sigma squared = start fraction (x 1 minus mu) squared (x 2 minus mu) squared ellipsis (x n minus mu) squared over n end fraction
The equation formed will be
[tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]
What does the numerator evaluate-
The numerator contains the difference between the data and the mean which means that it shows how much the data is varied from its mean.
What does the denominator evaluate to?
The denominator represents the number of the given data. It is the total number of data given for the analysis.
The variance is the variation of each data from its mean.
Thus The given equation will be
[tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]
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Answer:
94, 5, 18.8
Step-by-step explanation:
second part: 4.34
solve the following:
3! + 0!
------------
2! * 1!
A.) 3/2
B.) 3
C.) 7/2
Answer:
3
Step-by-step explanation:
[tex]\frac{3+0}{2\times1}[/tex]
[tex]3+(\frac{0}{2})\times1[/tex]
[tex]\mathrm{Divide}[/tex]
[tex]{0\div2}=0[/tex]
[tex]3+0\times1[/tex]
[tex]3+0=3[/tex]
[tex]3\times1=3[/tex]
Lenvy~
When a figure is translated, its orientation
and the measures of its angles
.
Answer:
Hope it helps :)
Step-by-step explanation:
So, when figure is translated, its orientation (=0°,i.e Not Rotated through any angle) and the measures of its angles (Remains same) . Hope it helps!~
(Sorry if you get it wrong or I got it wrong-)
~The Confuzzeled homan
What is the sum of 3x^2 + 4x – 2 and x^2 - 5x + 3?
Answer:
(3+1) x² + (4-5) x + (-2+3)=
4 x² - x + 1
Find the area of the shaded sector:
123.15 ft²
[tex]\bold{area \ of \ sector = \sf \dfrac{\theta}{360} * \pi * radius^2}[/tex]
[tex]\hookrightarrow \sf \dfrac{72}{360} * \pi * 14^2[/tex]
[tex]\hookrightarrow \sf 123.15 \ ft^2[/tex]
Answer:
123.2ft rounded answer
Step-by-step explanation:
What is the recursive formula for the sequence defined by the explicit equation an = -6 + 3n?
Answer:
an=an-1
Step-by-step explanation:
as it doesnt have -6 +3n
Can somebody solve this? That would be awesome, thanks
Answer:
15.5 ft
Step-by-step explanation:
C=2×pi×r
48.67=2×3.14×r
48.67÷(2×3.14)=r
r= 7.75 ft
diameter = 2× radius
diameter = 2× 7.75
d= 15.5
Hope this helps!
Can you solve this PI day maze
To find the number pi in the box we must start with 3.14 and follow the sequence of the number.
What is the pi number?The number Pi is a mathematical value that is represented by the symbol π and is used to refer to the length of the circumference of a circle and its diameter in geometry.
The value of pi is the following:
3.141592653589793238462643....If we want to find the number pi, in the box we must follow the sequence of numbers that make up pi as shown:
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Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you brainliest if you answer soon!!!
Answer:
Transitive property
Step-by-step explanation:
Refer to the picture given below;
Answer:
transitive property
Step-by-step explanation:
it not complementary angles because it not 90 degree
it not vertical angles because it doesn't show pair angles formed when two lines intersect.
it not reflexive property because it doesn't shown a number is always equal to itself.
so, for the reason above i think transitive property is the answer.
HELP PLEASEE ASAPP
Kelly and Tracy wanna know which of their dogs runs faster. The graph represents the constant speed of Kelly’s dog, and the equation represents the constant speed of Tracy’s dog, both in meters per second. Which dog has greater constant speed (unit rate)?
Kelly’s dog. Unit rate=___meters per second
Speed of Tracy’s dog: y=11x
Tracy’s dog, unit rate= __meters per second
The dog with the greater constant speed is ___’s dog
Answer:
Kelly's Dog = Unit Rate = ?
Tracy's Dog = Unit Rate = ?
Top Speed is Tracy's Dog
Step-by-step explanation:
There's not enough evidence to finish this question, can you pls give more context to this? Can you pls send the pic of the graph?