Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
please walk me through how to do this so I can di the other questions
Answer:
Axis is a vertical line at x = 2
Vertex is (2, -1)
y-intercept is (0, 3)
Solutions are x = 1 and x = 3
Step-by-step explanation:
To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y
Let us do that
Use x = -1, 0, 1, 2, 3, 4, 5
∵ y = x² - 4x + 3
∵ x = -1
∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8
→ Plot point (-1, 8)
∵ x = 0
∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3
→ Plot point (0, 3)
∵ x = 1
∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0
→ Plot point (1, 0)
∵ x = 2
∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1
→ Plot point (2, -1)
∵ x = 3
∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0
→ Plot point (3, 0)
∵ x = 4
∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3
→ Plot point (4, 3)
∵ x = 5
∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8
→ Plot point (5, 8)
→ Join all the points to form the parabola
From the graph
∵ The axis of symmetry is the vertical line passes through the vertex point
∵ x-coordinate of the vertex point is 2
∴ Axis is a vertical line at x = 2
∵ The coordinates of the vertex point of the parabola are (2, -1)
∴ Vertex is (2, -1)
∵ The parabola intersects the y-axis at point (0, 3)
∴ y-intercept is (0, 3)
∵ x² - 4x + 3 = 0
∵ The solutions of the equation are the values of x at y = 0
→ That means the intersection points of the parabola and the x-axis
∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)
∴ Solutions are x = 1 and x = 3
Determine the slope of each equation below:
y = 3x -8
y-4 = [(x + 5)
12x + 2y = 18
Answer:
1 = 3
2 = 1 ( I assumed the equation is y-4 = [(x+5)]
3 = -6
Step-by-step explanation:
the median salary for new york yankees in 2008 was $1.875,000. assuming a 160 games season, express this salary in dollars per game
Answer: 11718.75 I think.
Answer:
$11,718.75
Step-by-step explanation:
If $1,875,000 is the median salary, it means that was the top salary for all the 160 games
So, the answer is simply given by:
$ (1,875,000/160)
= $11,718.75
The vertices of a triangle are A (-2, 2), B (4,10), and C (0, -2). Find the equation of the line that contains
the median through point
The equation of the line is y =________
Answer:
y = 1/2 x + 3
Step-by-step explanation:
mid point of line BC = (2, 4)
slope of the line containing median (m) = 1/2
y intercept (b)= 3
since y = mx + b
y = 1/2x + 3
The median of a triangle is the line segment joining the any of the vertex to the mid-point of the opposite side of that vertex. The equation of the median through point A is given by y = 1/2x + 3.
What is a Median ?A median of a triangle is a line segment joining one of the vertex of the triangle to the mid-point of the opposite side.
The median of an equilateral triangle also an angular bisector.
Given that,
The coordinates of A = (-2, 2)
The coordinates of B = (4, 10)
The coordinates of C = (0,-2)
Thus the coordinate mid-point of BC is given by (4+0)/2,(10-2)/2 = (2,4).
Now, to find the equation of median through A there are two points (-2,2) and (2,4).
Thus the equation of median an be written as,
(y-2)/(x+2) = (4-2)/(2-(-2))
=> y - 2 = 1/2(x+2)
=> y = 1/2(x+2) + 2
=> y = 1/2 x + 3
Hence, the equation of the line is y = 1/2 x + 3.
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.
Which ordered pair is a solution to the system of inequalities ?
A balloon that has a volume of 72 cubic centimeters is deflating at a rate of 4 cubic cm every 5 seconds. At this rate, how long will it take for all 72 cubic cm to deflate?
Answer: 90 seconds or 1 min. and 30 sec.
Step-by-step explanation:
72/4=18
18x5=90
What's the square root of 17 rounded to the nearest tenth
Answer:
4.0
Step-by-step explanation:
Answer:
4.1
Step-by-step explanation:
4.1231056 is [tex]\sqrt{17}[/tex]
When rounding to the nearest tenth, we get
4.1
Hope I helped,
PumpkinSpice1
Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.
Juan’s profit for the month is ?
The negative sign represents the loss. Then the loss of Juan's will be $744.
What is a profit?A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.
The profit is given as,
Profit = Selling price - Cost price
Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.
The profit is calculated as,
Profit = $3,256 - $4,000
Profit = - $744
The negative sign represents the loss. Then the loss of Juan's will be $744.
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The temperature was -5 ℉ in Denver and then fell 8 ℉ by the morning.
The temperature was -15 ℉ im Minneapolis and then rose 9 ℉ in the morning.
At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise
The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?
Answer:
The new temperature is 13 degrees Fahrenheit
Step-by-step explanation:
Miguel earns $70 washing 7 cars. At this rate, how many cars did Miguel wash to earn $110?
Answer:
11 cars
Step-by-step explanation:
If he earned 70 cars 7 that means he earned 10 dollars per car. So in order to make 110 dollars he must wash 11 cars.
Answer:
11 cars
Step-by-step explanation:
$70total/7 cars= $10 per car
$110 total/$10 per car= 11 cars
A triangle has an area of 75 feet, with a base of 10 feet. What is the height?
Answer:
its 85 feet :)
Difference of Squares gives which complex factors for the expression x2 +3?
A. (x+3)(x-WB)
B. (x-3)(x-3)
C. (x+3)(x-3)?
D. (x+3)(x-31)
Step-by-step explanation:
Shortest way to solve this question is to find the factors of the given expression.
The given expression is (x² + 13).
Now we have to factorize it.
(x² + 13) = x² + (√13)²
= x² + [-(i)²√(13)²] [Since i = √(-1)]
= x² - (i√13)²
= (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-
Rosa Went to have a manicure that cost $25 she wanted to tip the technician and 15% and tax is 7% how much did she spend total for the manicure
The correct answer is $30.5 or $31 if rounded
Explanation:
To find the total Rosa spent on the manicure, it is necessary to calculate the money spent on taxes and the money she tipped to the technician. The process is shown below:
Taxes:
$25 represents 100% of the cost and 7% percent represents the total taxes.
1. Write the values using x as the value you want to know
25 = 100
x = 7
2. Use cross multiplication
x 100 = 175
3. Solve this equation
x = 175 / 100
x = 1.75 (Total price for taxes)
Tip:
Repeat the process but in this case calculate the 15% of $25
25 = 100
x = 15
x 100 = 375
x = 375 / 100
x = 3.75
Total: Finally, add the three values
$25 (cost of the manicure) + $ 1.75 (taxes) + $3.75 (tip) = $30.5 or $31 if rounded
What is the perimeter of the
figure below?
2 in
9 in
2 in
11 in
Solve : 4(4p+6)=16 find the value of p
Answer:
p=-1/2
Step-by-step explanation:
4(4p+6)=16
4p+6=4
4p=4-6
4p=-2
P=-2/4
p=-1/2
Bruno‘s mother is eight more than twice his age. His father is three years older than his mother is. If all three members have lived a total of 94 years, how old is each family member?
Answer:
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
Step-by-step explanation:
Given that :
Let
Bruno's age = x
Mothers age = 8 + 2x
Father's age = 8 + 2x + 3 = 2x + 11
x + 8 + 2x + 2x + 11 = 94
5x + 19 = 94
5x = 75
x = 75 /5
x = 15
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
can someone help me really quickly and have a explainton for as well
[tex] |c + 4| = 6[/tex]
Original Price = $ 20, % Markup = 15%
Answer:
23 dollars
Step-by-step explanation:
so to figure out how much more you grab 20 and multiply by .15 as percent and you will get 3 dollars more so 23
PLEASE ANSWER BOTH!!!WILL GIVE BRAINLIEST!!!
Taylor has a collision deductible of $500 and a Bodily Injury Liability coverage limit of $50,000.
Taylor hits another driver and injures them severely.
The case goes to trial and there is a verdict to compensate the injured person for $40,000.
a) How much does Taylor have to pay?
b) How much does Taylor's insurance pay?
Answer: she will have to pay $500 and her insurances has to pay $40,000
Step-by-step explanation:
Answer: She will pay 9,000 dollars. Her insurance company will have to pay 7,000.
2x to the power 2 minus 5x+6 X=-2
Answer:
=(x-2)(x-3)
Step-by-step explanation:
This is what I got. I hope this can help you.
Pls help
Simplify the expression: -1.23x + 1.54x + 1.2 + 1.2 + 3.4p
Answer:
0.31x + 2.4 + 3.4p
Step-by-step explanation:
combine like terms
can someone please help im lost
Answer:
-146
Step-by-step explanation:
Step-by-step explanation:
putting the value f(-9) in expression
= -(-9)^2-7×(-9)-2
= 81+63-2
=142
Is 9 a possible solution for -2x + 4 ≥ -14?
Answer:
Yes
Step-by-step explanation:
-2(9)+4= -14 and -14 is equal to -14.
Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly. How much will Mr.Turner have in the account after 4 years to the nearest dollar?
Answer:
$9,724.05
Step-by-step explanation:
8000(1+.05)^4= 9724.05
sry if im wrong :)
The amount after 4 years will be equal to $9,724.05
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.
Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
Given that Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly.
The amount after 4 years will be calculated as:-
[tex]A = P ( 1 + \dfrac{r}{100})^{nt}[/tex]
[tex]A = 8000 ( 1 + \dfrac{5}{100})^{4}[/tex]
A = 9724.05
Therefore, the amount after 4 years will be equal to $9,724.05.
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Graph the equation y = x2 + 6x + 5 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
Answer:
Please check the graph below.
Step-by-step explanation:
Given the function
[tex]y\:=\:x^2\:+\:6x\:+\:5[/tex]
Axis interception points of the function
x-axis interception points can be computed by setting y=0
[tex]x^2+6x+5=0[/tex]
[tex]\left(x+1\right)\left(x+5\right)=0[/tex]
Using the zero factor principle
if [tex]\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+1=0\quad \mathrm{or}\quad \:x+5=0[/tex]
[tex]x=-1,\:x=-5[/tex]
Hence,
x-axis interception points are: (-1, 0), (-5, 0)
y-axis interception points can be computed by setting x=0
[tex]x^2+6x+5=0[/tex]
[tex]y\:=\:\left(0\right)^2\:+\:6\left(0\right)\:+\:5[/tex]
[tex]y=0+0+5[/tex]
[tex]y=5[/tex]
Hence,
y-axis interception points are: (0, 5)
From the graph, it is clear that at (-3, -4) the parabola changes direction, hence (-3, -4) it the "vertex".
Also at the point x=-2, then y is = -3
So, all the points are labeled and the graph is attached below.
A backpack originally costs $35.It is on sale for $22.75. Find the percent of decrease.
21 points bruh and also sub to RahimZ
hello everyone.
please answer……
The first water pipe fills the tank in 8 minutes and the second in 16 minutes. If both pipes are open in one minute, what part of the tank will not be filled with water?
have a nice day.good bye
Answer:
13/16 is the answer. Bad handwriting but try to understand .
graph an equation on the line passing through point P(0, 0) that is perpendicular to the line when y = −9x−1
A single die is rolled twice. Find the probability of rolling an odd
number the first time and a number greater than 4 the second time.
Step-by-step explanation and answer:
The 6 sides of the die are numbered 1,2,3,4,5,6
There are 3 odd and 3 even numbers
probability of an odd number on 1st roll is:
3/6=1/2
When you want A AND B probabilities, you multiply
the events A and B
The number less than 3 are 1,2, so the probability is:
2/6=1/3
so the probability of both events are going to be:
(1/2) *(1/3)=1/6
y = (x + 1)(x - 2)
Distribution