Lets first put all the known information into the point-slope form:
[tex]y-y_{0} =m(x-x_{0} )[/tex]
[tex](x_{0},y_{0} ) = (-4,-5)[/tex]m (slope) : 1/2
[tex](y+5)=\frac{1}{2}(x+4) \\y + 4 = \frac{1}{2} x+2\\[/tex]
To put it into slope-intercept form, we must solve for y:
[tex]y = \frac{1}{2} x -2[/tex]
Hope that helps!
The function C(x)=300x+6,000 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $500?
Answer:
More than 30 items
Step-by-step explanation:
C(x)=300x+6,000
First, find c(x), the average cost function.
c(x)c(x)=C(x)x=300x+6,000x
The average cost function is shown below.
c(x)=300x+6,000x
We want the function c(x) to be less than 500.
c(x)<500
Substitute the rational expression for c(x).
300x+6,000x<500x≠0
Subtract 500 to get 0 on the right.
300x+,6000x−500<0
Find the LCD, and rewrite the left side as one quotient.
300x+6,000x−500xx−200x+6,000x<0<0
Factor the numerator to show all factors.
−200(x−30)x<0
Find the critical points when the numerator or denominator are equal to 0.
−200(x−30)−200≠0x−30x=0x=0=0=30
More than 30 items must be produced to keep the average cost below $500 per item.
f
is inversely proportional to
√
g
.
When
f
=
15
,
g
=
144
Work out
g
when
f
=
90
Answer:
4
Step-by-step explanation:
The proportional relationship can be described by the equation ...
[tex]f=\dfrac{k}{\sqrt{g}}[/tex]
We can fill in the given values to find k:
15 = k/√144 = k/12
15·12 = k = 180 . . . . . . multiply by 12
Then for f = 90, we have ...
90 = 180/√g
1/2 = 1/√g . . . divide by 180; next multiply by 2√g and square both sides
g = 2² = 4 . . . . the value of g when f=90
Select the correct answer.
Which operation should you perform after (9+6) in the expression
122 + 10 2 - (9+6) + 5?
OA. 122
OB. 122 +10
Ос. .
10 x 2
OD
15-5
Answer:
12^2
Step-by-step explanation:
the pemas first you do the "(" and then what ever 12^2 is. i got the same question on mine and i got it correct. if this is correct write brainiest.
Please Help!
This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? Show you work.
Answer:
29.92 m²
Step-by-step explanation:
Area of the rectangle = 5.5 * 4 = 22 m²
Radius of the circle = 5.5 m
Area of the sector of the circle = π*(5.5)² * 30/360 = 7.92 m²
Total area = 22 + 7.92 = 29.92 m²
On the following number line, the approximate locations of five real numbers are graphed.
Choose the correct location of each number on the number line.
Answer:
C
A
E
D
B
Step-by-step explanation:
There are 346 children going for an excursion.
There are 8 buses and each bus can seat 40 children.
How many children will not have a seat?
Answer:
26 children
Step-by-step explanation:
346-8*40
346-320
26
I need help please please
Answer:
A
Step-by-step explanation:
Reflects across the y axis then rotates 180 degrees.
Answer:
reflection then rotation
Step-by-step explanation:
Find the measure of angle
Answer:
42º
Step-by-step explanation:
The angle on a straight line is always equal to 180º.
So here we know that angles AEB, BEC and CED add up to 180º. Now we simply have to rearrange to find angles AEB, seeing as we know all the others.
180 - (BEC + CED) = AEB
180 - (48º + 90º)
= 180 - 138º
= 42º
Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Use the function you wrote in Item 4 to complete the following:
f(1.5) = _____. The value indicates that after _____ hours of driving,
Aubrey and Charlie will have traveled _____ miles.
Answer:
1. The total distance will be equal to 20 miles plus the remaining distance which would be obtained when you multiply the speed to time t. The equation would be written as follows:
120 = 20 + 50t
2. The minimum time would be 0 hours. The maximum time is when the total distance of 120 is fully covered.
t ≤ (120 - 20)/50
t ≤ 2 hours
Thus, the domain would be 0 < t ≤ 2.
Step-by-step explanation:
Answer:
1 First blank; f(1.5)=95 2 Blank; 1.5 3 Blank; 95
Step-by-step explanation:
you use the equation f(x)=50x+20 and put 1.5 in
f(1.5)=50(1.5)+20 = f(1.5)=95
you get 95, and that is the number of miles
1.5 is number of hours
For every $2 that David raised, Kendall raised $1.50. If Kendal raised $27, how much money did David raise
Answer:
$36
Step-by-step explanation:
27 x 2/1.50 = 36
If g(b) = 7b+8, what is g(-3)? Α. -29 B. -13 C. 13 D. 29
Givᥱᥒ ,
[tex]\bold\purple{g(b) = 7b + 8}[/tex]
To fiᥒd ,
[tex]\bold\purple{g( - 3) = ?}[/tex]
Hᥱɾᥱ ,
Wᥱ ʝᥙ⳽t ᥒᥱᥱᑯ to ⳽ᥙᑲ⳽titᥙᥱ tᖾᥱ ʋᥲꙆᥙᥱ " ᑲ = -3 " iᥒ tᖾᥱ ᥱϙᥙᥲtioᥒ ɠiʋᥱᥒ ᥲᑲoʋᥱ.
Tᖾᥱɾᥱƒoɾᥱ ,
[tex]\bold\blue{g( - 3) = 7( - 3) + 8 } \\ \\ \bold\blue{ ⇝ - 21 + 8} \\ \\ \fbox\pink{ ⇝ - 13}[/tex]
hope helpful ~
What point represents the y–intercept for the equation 6x + 3y = –12?
Answer:
(0, -4)
Step-by-step explanation:
The y-intercept is the point on the line where it crosses the y-axis. That point has x-coordinate equal to zero. To find the y-intercept, set x=0 in the equation and solve for y:
3y = -12
y = -12/3 = -4
The y-intercept is -4. The point coordinates are (0, -4).
__
Additional comment
You may notice that in the standard form equation, ...
ax +by = c
The x-intercept is c/a, and the y-intercept is c/b.
If you
divide my number by 2 and then add 15. you
will get 24. What is my number
Answer:
The number you're looking for is 18.
Step-by-step explanation:
18/2=9
9 + 15 = 24
Therefore you get 18
Find the value of x.
Answer:
x= 13 degrees
Step-by-step explanation:
This is a 90 degree angle. We can create an equation to find x
68+x+9= 90
77+x= 90
-77 -77
x= 13 degrees
Hope this helps!
Answer:
x = 13
Step-by-step explanation:
The given angles are,
→ 68°
→ (x + 9)°
Now we have to,
→ Find the required value of x.
Forming the equation,
→ 68° + (x + 9)° = 90°
Then the value of x will be,
→ 68° + (x + 9)° = 90°
→ 68° + x + 9° = 90°
→ (68 + 9)° + x = 90°
→ 77° + x = 90°
→ x = 90° - 77°
→ [ x = 13 ]
Hence, the value of x is 13.
a full bottle hold 1/4 gallon of juice
:
a bottle has 1 3/4 liters. The first thing to do is convert this mixed fraction to an improper fraction. 1 equals 4/4, so 4/4+3/4=7/4, it says they want to take 6 1/4 glasses, we convert this to a fraction, we multiply 6*1/4=6/4 and this simply we have to subtract it from 7/4 which are the liters
7/4-6/4= 1/4
so we have 1/4 of a liter left over
una botella tiene 1 3/4 de litros. Lo primero que hay que hacer es convertir esta fracción mixta en fracción impropia. 1 equivale a 4/4, entonces 4/4+3/4=7/4, dice que quieren llevar 6 vasos de 1/4, esto lo convertimos en fracción, multiplicamos 6*1/4=6/4 y esto simplemente lo tenemos que restar a 7/4 que son los litros
7/4-6/4= 1/4
entonces nos sobra 1/4 de litro
(05.03 HC) There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B. Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points) Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points) Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically.
Answer:
Step-by-step explanation:
From the information given:
Neighbourhood A = 30 homes and the number increases by 20% each year
Neighbourhood B = 45 homes, and each year 3 new homes are built.
A.
The function representing the numbers of homes in Neighbourhood A and B are as follows:
For neighbourhood A: f(x) = [tex]\mathbf{30 \times (1.2)^x}[/tex]
For neighbourhood B: f(x) = 45 + 3x
B.
After five years;
Neighbourhood A has = [tex]\mathbf{30 \times (1.2)^x}[/tex]
Neighbourhood A = [tex]\mathbf{30 \times (1.2)^5}[/tex]
Neighbourhood A = 74.65 homes
Neighbourhood B: = 45 + 3(5)
Neighbourhood B: = 45 + 15
Neighbourhood B: = 60 homes
C.
To determine how many years the number of homes are the same for neighbourhood A and B, we need to equate both together.
i.e.
[tex]\mathbf{30 \times (1.2)^x= 45 + 3x}[/tex]
[tex]\mathbf{ (1.2)^x= \dfrac{45 + 3x}{30}}[/tex]
[tex]\mathbf{ (0.4)^x= \dfrac{15 + x}{10}}[/tex]
x = 3.3
Thus, after 3.3 years, the number of homes will be the same.
Approximate √38 to the nearest tenth.
Answer:
6.2
Step-by-step explanation:
After you plug in [tex]\sqrt{38}[/tex] into the calendar, you get 6.16441. To round to the nearest tenth, you look at the tenth and hundreth place. Since the hundreth place is a 6, which is greater than 5, the 1 in the tenths place becomes a 2, giving you 6.2.
A store manager wants to display 4 different brands of toothpaste in a row. How many ways can this be done?
Answer:
24 ways
Step-by-step explanation:
4 things can be placed in 4! = 4 × 3 × 2 × 1 = 24 different ways
The number of different ways 4 brands can be arranged is 24.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of brands = 4
Number of different ways 4 brands can be arranged.
= 4!
= 4 x 3 x 2 x 1
= 24
Thus,
The number of different ways 4 brands can be arranged is 24.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
P(x) = 5x3 − 28x2 + 15x − 200, c = 11
P(11)=?
Answer:
I do not know
Step-by-step explanation:
so I don't know anything abt math mostly thank you
1. Find the area of the figure below..
19 ft
6 ft
Answer:
25
Step-by-step explanation:
just add it together
Please help I will give brainliest for first correct answer
Answer:
0
Step-by-step explanation:
2(3*2)^2-27(6/2)+3^2
=2(9*4)-27(3)+9
=72-81+9
=0
hope it helps:)
Explain what is meant by break even point
Answer:
The break even point is the production level at which total revenues for a product equal total expenses.
Step-by-step explanation:
What would be the slope of a line that is PARALLEL to the following?
y=-4x +11
If your answer is a fraction please enter it as a decimal.
Parallel Slope =
(Someone please help me I don’t understand this helpppp)
Answer:
The slope would be -4
Step-by-step explanation:
Since the two lines are parallel, the slopes would have to be the same because the lines can't intersect. In an equation of a line, the number before the "x" is always the slope.
Answer:
The slope of a line that is parallel to y=-4x+11 is m2=-4
Step-by-step explanation:
Parallel lines
The equation of a line of slope m and y-intercept b can be expressed as:
y=mx+b
The equation of the given line is
y=-4x+11
Which means its slope is m1=-4
Two parallel lines are defined to have the same slope. If m2 is the slope of a parallel line, then:
m2=m1=-4
Then, the slope of a line that is parallel to y=-4x+11 is m2=-4
Help me quick please
Step-by-step explanation:
see pictures above or below
What is the relationship between the magic constant (the sum of each row) and the sum of all the numbers in the square? Why does this relationship make sense?
Let's say each row sums to 15
If we had 3 rows, then the total sum would be 3*15 = 45
If we added all of the values in the 3x3 magic square, then we'd get 45 as well.
This is one example showing that
sum of all values = (number of rows)*(magic constant)
You can replace "rows" with columns to get the same idea, because each column also adds to the same magic constant. The diagonals are an exception since we only have two of them.
A loaf of bread has 16 slices, Then two pieces were made into toast. The rest were made into sandwiches that use 2 slices of bread each. How many sandwiches were made from the loaf?
Show your work?
Please help asap! I will gave brainlest!
Answer:
[tex]2+\sqrt{3}[/tex]
Step-by-step explanation:
tan(-105°) is equal to 3.73205081, and [tex]2+\sqrt{3}[/tex] is equal to 3.73205081 as well.
Its the next day and Marla is doing school work. This time, Marla gets on at 10:17, if she needs to complete 4 hours for school, what time will she be done?
HELP
4hours after time?
Hour. will be changed only
10:17+4=14:17The time in 24hr format is 14:17 and in 12 hr format it's 2:17
Answer:
[tex]\huge\boxed{\bf\:14:17}[/tex]
Step-by-step explanation:
Given information,
Time Maria starts doing her school work = [tex]10:17[/tex]Number of hours she spends = [tex]4[/tex] hoursTime she finishes her work by = ?Since the question doesn't provide whether [tex]10:17[/tex] is in Post Meridiem(P.M) or Ante Meridiem (A.M), we'll be using the 24-hour clock format.
In the 24-hour clock format, the clock goes from 12:01 to 23:59 each day. Each full rotation of the clock from this period shows that a day has passed by.
In the above case, if Maria starts her work by [tex]10:17[/tex], then,
Time Maria finishes her work by
[tex]=\sf\: 10:17 + (4 \: one-hour \:clock \: rotations)\\= \sf\:10:17 \rightarrow (11:17\rightarrow12:17\rightarrow13:17\rightarrow14:17)\\= \boxed{\bf\:14:17}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Which of the following are factor pairs for 72? You will select two. *
1 point
2 x 36
3 x 18
6 x 12
8 x 8
Answer:
See below.
Step-by-step explanation:
2 x 36 = 72
3 x 18 = 54
6 x 12 = 72
8 x 8 = 64
A and C are the answers.
-hope it helps
Whats is the area of the figure? in squares inches