The function is nonlinear because there is an exponent to the x value, indicating that it is a parabola, which means that it is not a straight line.
EXPLORE ACTIVITY 2
TEKS 7.13.8
Analyzing a Family Budget
One way to present a budget is in a circle graph. You can see at a glance which
categories take the greatest part of the family's resources. You can also work
backward from a circle graph to figure out exactly how much money is in each
category.
Use the circle graph to complete
the table for the Baker family's
monthly budget. Their net
monthly income is $4,000.
STEP 1)
STEP 2
STEP 3
STEP 4
STEP 5
432 Unit 7
Enter the income in the table.
Enter the percent or amount of money for each
category from the circle graph in the table.
Calculate the amount of money or the percent
for each category in the table.
Determine which expenses are fixed and
which are variable. Place X's in the appropriate
columns.
Complete the Amount Available column.
Item
Net monthly income
means how much
income the family
has after taxes.
Net monthly
Income
Housing cost
Food
Savings
Entertainment
Clothing
Medical
Transportation
Emergency
fund
Amount
($)
Percent
(%)
Baker Family's Monthly Budget
Emergency fund
Transportation
(car expense,
bus passes)
$400
Medical
(insurance
and
additional
expenses)
$600
Clothing
8%
Entertainment
Savings
$320
Fixed
Variable
Amount
Expense Expense Available
($)
Housing
cost (house
payment and
Insurance!
$1,400
Food
15%
Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.
What happened during emergency repair of $305?4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.
5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.
Learn more about emergency:
https://brainly.com/question/20411681
#SPJ1
Full Question:
See attached image.
Reflect
4. Analyze Relationships One month, the family must make an
emergency car repair for $305. Are they able to pay for it out of the
fixed emergency fund for that month? If not, how can they afford it?
5. The family wants to make a trip to Houston to visit the NASA Space
Center. What are some ways they can save without using all of the
allotted $160 for entertainment
A line passes through the point (3,9) and has a slope of 4
Write an equation in point-slope form for this line.
Answer:
y - 9 = 4(x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = 4 and (a, b ) = (3, 9 ) , then
y - 9 = 4(x - 3) ← equation of line
The country of Freedonia has decided to reduce its carbon-dioxide emission by 35\%35%35, percent each year. This year the country emitted 404040 million tons of carbon-dioxide.
The tons of carbon emission for the following year is 26 million tons.
How to calculate the carbon emission?From the information, the country of Freedonia has decided to reduce its carbon-dioxide emission by 35 percent each year and in the year given, the country emitted 40 million tons of carbon-dioxide.
The carbon for the next year will be:
= Total carbon emmision - Reduction in emissions
= 40 million - (35% × 40 million)
= 40 million - 14 million
= 26 million
The complete information is given below.
Learn more about percentages on:
brainly.com/question/24304697
#SPJ1
Complete question
The country of Freedonia has decided to reduce its carbon-dioxide emission by 35 percent each year. This year the country emitted 40 million tons of carbon-dioxide. What is the carbon emission for the next year.
Part one part 2 coming up it did not allow me to post it but keep and eye out
Answer:
ahh thanks for posting this!!
help please i got absolutely no clue how to solve this
Answer:
A)
Step-by-step explanation:
To complete the square, we need to find such p and q that:
r^2 - 12r - 27 = (r - p)^2 - q = r^2 - 2pr + h^2 - q
Because we know that 2pr = 12r, then p = 6
(r - p)^2 - q = (r - 6)^2 - q = r^2 - 12r + 36 - q
We know that 36 - q = -27, so q = 36+27 = 63
Now we can solve for = 0
(r - 6)^2 - 63 = 0
(r - 6)^2 = 63
r - 6 = √63 or r - 6 = -√63
r = 6 + √63 = 6 + 3√7 or r = 6 - √63 = 6 - 3√7
Hello, can I please get some help :))
Answer:
add the seven to one and divide by three then subtract two
Given the set S = {a, b, c, d}, answer the following.
(a) How many one-element subsets does S have?
(b) How many two-element subsets does S have?
(c) How many three-element subsets does S have?
(d) How many four-element subsets does S have?
(e) How many zero-element subsets does S have?
(f) How many subsets does S have?
(g) If
n(S) = k,
how many subsets will S have?
Answer:
Step-by-step explanation:
anwser it pls aaaaaaaassaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
Volume = Bh
Turn the shape so the trapezoid is on the bottom/base
h=18 for overall shape
B = area of base, trapezoid
B = 1/2 (b₁ + b₂) h
b₁ = 11
b₂ = 25
h = 24 for trapezoid
B = 1/2 (11 + 25)(24)
B = 432
V = Bh
V = (432)(18)
V= 7776 in³
Which value of x makes the following equation true?
5.8(x - 4) = -0.2x + 6.8
A. 5
B. 4
C. 8
D. 7
Is this correct or not?
If not please provide correct answer
Answer:
It is correct please I do not want yo sound rude can you give me brainliest answer.
Answer:
correct steps
Step-by-step explanation:
if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.
Please solve assignments due today
1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.
2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1
This means that period B has a smaller Mean absolute deviation.
How do we calculate the Mean Absolute Deviation?We start by finding the mean for each set;
Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10
= 960/10
= 96
Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10
= 961/10
= 96.1
Period A:
Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10
Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10
Mean Absolute Deviation = 1.8
Period B:
Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10
Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10
Mean Absolute Deviation = 1.1
Find more exercises on Mean Absolute Deviation;
https://brainly.com/question/10528201
#SPJ1
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
What is the meaning of "unique"?
Answer:
In this context, unique means existence of only one value for that element and no more than one value
Step-by-step explanation:
Kelly manages an apartment complex with 60 apartments. The monthly rent for an
apartment in the complex is $803, of which Kelly gets 9.5%. How much does Kelly
earn in a year?
State your answer in terms of dollars rounded to the nearest whole dollar.
Answer:
$54925
Step-by-step explanation:
Monthly Rent = 803
Number of apartments = 60
Kelly's commission = 9.5% -> 9.5/100 = 0.095
So
803*60*0.095 = ?
4577.10 per month.
12 months in a year
4577.10 * 12 = $54925.20
Rounded to nearest whole dollar 54925
Kelly makes $54925 per year
PLS HELPPP GEOMETRY!!
Applying the segment addition postulate, the value of y is: 4.
How to Apply the Segment Addition Postulate?According to the segment addition postulate, since points R, S, and T are collinear points, therefore, the following equation is true:
RS + ST = RT
Given the following lengths:
RS = 4y + 5
ST = 3y + 6
RT = 39
Plug in the values into RS + ST = RT
(4y + 5) + (3y + 6) = 39
4y + 3y + 5 + 6 = 39
7y + 11 = 39
7y + 11 - 11 = 39 - 11
7y = 28
7y/7 = 28/7
y = 4
Thus, applying the segment addition postulate, the value of y is: 4.
Learn more about the on:
https://brainly.com/question/2134445
#SPJ1
which ratio is different from the other three A.8/20 B.12/30 C.6/10 D.14/35
Find the slope of a line that passes through the following points (3,2) (5,-3)
A. 2/5
B. 5/8
C. -5/2
B. -5/8
Answer:
C
Step-by-step explanation:
Use the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-3 - 2) / (5 - 3)
m = -5/2
Landon bought a tray of plants for $8.15. There were 16 plants in the tray. If Landon only bought 1 plant, about how much would it have cost?
Please help what is the slope of the line?
Answer:
-5/4
Step-by-step explanation:
Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:
\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)
Answer: -5/4
Step-by-step explanation:
To find the slope between two points, you can use the formula:
Slope = (y2 - y1)/(x2 - x1)
Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:
slope = (4 - (-1))/(-4 - 0)
slope = (4 + 1)/(-4)
slope = 5/-4
Therefore, the slope between the two points is -5/4.
Martina read 57 pages of her book in 5 hours. What is the average number of pages that Martina read per hour?
Answer: 11 1/2
Step-by-step explanation: Divide 57 1/2 by 5 and it gives you 11 1/2
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
Learn more about axioms here:
https://brainly.com/question/2857184
#SPJ8
Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
For similar questions on vertices
https://brainly.com/question/1217219
#SPJ8
Three circles can intersect in?
two points
three line segme
segments
four triangles
one arc
9514 1404 393
Answer:
(a) two points
Step-by-step explanation:
The curve of a circle can only intersect another circle at a point or in an arc. The intersection will only be an arc if the circles have the same center and radius (are the same circle).
Different circles can only intersect each other at one or two points. Three different circles can intersect in one or two points. The 2-point case is shown in the attachment.
Order the following least to greatest (4, -2, -19, 0, 25) ..help
A newspaper vendor sold 2000 newspapers each at sh.40.He was paid sh.2 per each newspaper as commission.What was the percentage commission.
.
Answer:
5 percent
Step-by-step explanation:
100/40=2.5
2.5*2=5
what is the coefficient of Q in the sum of
(2/3q - 3/4) and (-1/6q - 2)
please help me out
The sum of the squares of two numbers is 225 . If one of the numbers is greater than the other one by 3 , find the two numbers
Answer:
Two number: (9 , 12) or (-9 , -12)
Step-by-step explanation:
x² + (x+3)² = 225
2x² + 6x + 9 = 225
2x² + 6x + 216 = 0
2 (x² + 3x + 108) = 0
2 ( x-9) (x+12) = 0
x = 9 or x = -12
Two number: (9 , 12) or (-9 , -12)
7(x+4)-6(x+3)=x+5
What is x?
Answer:
Equation has no solutions.
Step-by-step explanation:
7x + 28 - 6x - 18 = x + 5
7x + 10 - 6x = x + 5
x + 10 = x + 5
x + 10 - 10 = x + 5 - 10
x = x - 5
x - x = x - x - 5
0 ≠ - 5
Find the distance between the two points rounding to the nearest tenth (if necessary). (-6,5) and (3,-7)
The distance between points (-6,5) and (3,-7) is 15 units.
How to find the distance between two points?In the coordinate plane, the points are denoted by coordinate and the distance means the physical distance between them.
Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
\(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)
Given the points (-6,5) and (3,-7)
Here x₁ = -6 , x₂ = 3
y₁ = 5 and y₂ = -7
So,
\(d = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {5 +7 } \right)^2 }\)
d = √225
d = 15 units.
Hence "The distance between points (-6,5) and (3,-7) is 15 units".
To learn more about the distance between two points,
https://brainly.com/question/24485622
#SPJ2
Suki is using 25 apples for her crumble.
Answer:
??
Step-by-step explanation: