Answer:
We conclude that the initial value of the function is 6.
Hence, option D is correct.
Step-by-step explanation:
The initial value of the function can be determined by setting x = 0 and determining the corresponding y value.
In other words, the initial value is basically the y-intercept of the graph.
It is the output value when the input value x = 0.
Given the graph, it is clear that:
at x = 0, y = 6
Thus, at x = 0, the value of y is 6.
i.e. the y-intercept b = 6.
Therefore, we conclude that the initial value of the function is 6.
Hence, option D is correct.
Answer:
6
Step-by-step explanation:
The initial value is the y-intercept or where the line crosses the y axis.
Identify the perimeter and area of a square with diagonal length 24in. Give your answer in simplest radical form!!!
Which of the following graphs shows a rate of change of zero?
Answer:
A.
Step-by-step explanation:
no slope, the line is just y = 4
PLEASE HELP!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
A
Jazmine makes a base salary of $750 per week. She sold a car this week for $25,000 and get a 3% commission on her sales. What is her total salary this week?
Answer:
1,500
Step-by-step explanation:
One pipe can fill a tank in four hours; another pipe can fill the same tank in three hours. How long would it take to fill the tank if both pipes filled it at the same time? [?] hours Enter the number that belongs in the green box. Enter
9514 1404 393
Answer:
[tex]\dfrac{12}{7}[/tex]
Step-by-step explanation:
The first pipe fills 1/4 of the tank in 1 hour. The second pipe fills 1/3 of the tank in 1 hour. So, in 1 hour, the amount of the tank that is filled is ...
[tex]\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{7}{12}\quad\text{of the tank in 1 hour}[/tex]
This number is the fill rate in tanks per hour. We want the reciprocal of that, the fill time in hours per tank. The reciprocal of 7/12 is 12/7.
It will take 12/7 hours to fill the tank.
_____
Comment on the answer
It looks like you may be asked to fill two "green boxes" to provide the complete answer. The box shown as green in this question is the numerator of the fraction, so should be filled with 12. (We expect that the denominator entry will be made available as soon as you enter the numerator. Your experience with this web site will tell you if that is true.)
Which is the volume of water in the fish tank shown rounded to the nearest
hundredth?
Answer:
4.69ft³
Step-by-step explanation:
1.5×2.5×1.25=4.69
Write an equation in slope-intercept form
(y = mx + b) of the line that is
perpendicular to the graph of 4x + 8y = 5
and passes through (3,9).
The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression represents how many trees will be left in 10 years. Group of answer choices
Answer:
[tex]y=2.5*10^9(0.005^{12 0}) \\\\[/tex]
Step-by-step explanation:
The above question is in the form of an exponential decay. The equation for an exponential decay is given by:
[tex]y=ab^x[/tex]
where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).
Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:
[tex]y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\[/tex]
Pls help and show workings
Answer: x = 11
Step-by-step explanation:
same as the last question, set them as equal and solve. here's my work:
5x - 1 = 4x + 10
5x - 1 (+ 1) = 4x + 10 (+ 1)
5x = 4x + 11
5x (- 4x) = 4x (- 4x) + 11
x = 11
draw a graph that models the relationship between time and Runners distance from the starting position use the data in the table to create the graph of the relationship be sure to include appropriate axis labels, intervals and units.
Answer:
Where is the graph?
Step-by-step explanation: How does anyone answer without a graph lol
What is 11/12 of a minute?
Answer:
55 seconds
Step-by-step explanation:
Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.
Jill Barley obtained a 25-year, $60,000.00 mortgage loan from University
Savings and Loan Association. The interest rate is 6 percent. The monthly
payment is $386.40. For the first payment, what is the interest? What is the
payment to principal? What is the new balance?
Answer:
a. Interest = $300
b. Payment to principal = $86.40
c. New balance = $59,913.60
Step-by-step explanation:
The monthly payment has both an interest component and a principal repayment component.
The interest component is based on the total principal still due at the time and the principal repayment component will be the rest of the payment.
As the interest is listed in annual terms, it needs to be made a monthly rate:
= 6%/12 months
= 0.5%
Interest = 60,000 * 0.5%
= $300
Payment to principal = 386.40 - 300
= $86.40
New balance = Amount due - payment to principal
= 60,000 - 86.40
= $59,913.60
can someone pls help me i need to know what is 2x - 1 = 7
Answer:
The solution for x would be 4.
Step-by-step explanation:
2x - 1 = 7
The value of x is unknown, but you do know that you are multiplying 2 by x. So, if you rewrite the equation as 7+1=2x, you know that 8=2x. If you then divide both sides by 2, you're left with 4=x which would mean that the variable x has a solution of 4
Harrison has 60 cds in his music collection. If 20% of the cds are country music and 40% are pop music, how many cds are other types of music?
There are 9 other CD's of a different genre.
Help please ............
Answer: 0.45
Step-by-step explanation:
(no 2 and 4) 15%+30% = 45%
45/100 = 0.45
Write an equation to represent the given scenario.
Alicia went to buy a new car at the car dealership. She paid
$2.500 for her down payment and she will pay $256 per
month The car cost a total of $17,860. Write an equation to
represent this scenario.
Answer:
256x +2.500=17860
Step-by-step explanation:
So she has to pay 256 per month which means every month.So that is our reapeted fee.Because it is reapeting every month.2.500 is the fee that you have to give for down time payement but only once .So that is our One Time Fee.And 17860 is our total.Always remember that the vairable goes with the reapted fee.and our equation is reapted fee times vairaible addes to one time fee is equal to total.
Use the proportion. What is 72% of 150
Answer:
108
Step-by-step explanation:
150x0.72=108
Step-by-step explanation:
72% of 150
=> (72/100)×150
=> 10800/100 [ Because, 72×150=10800 ]
=> 108
Thus, 72% of 150 is 108.
Hope this helps you.
What must be included in an algebraic
expression?
A an equals sign
B at least one variable
C one or more numbers
D more than one operation
Answer:
B. you need atleast one variable for an algebraic expression.
an equals sign would make it an algebraic equation,
just a coefficient and a variable is the most basic algebraic expression. you don't need anything other than those for an expression. you can have more than one number, and more than one operation, but they don't have to be there.
Step-by-step explanation:
i hope this helps :))
A passenger jet can travel 600 miles per hour. How long
would it take a jet traveling at that speed to cross 3000 miles of ocean?
Write an equation and solve the problem.
Answer:
the answer would be 5 hours
Step-by-step explanation:
we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.
3000/600 = 5
another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.
30/6 = 5
and ta da the question is sloved!!!
i'm really getting tired of the questions like these lol
Step-by-step explanation:
(3x+3)(x+2)=
3x^2+6x+3x+6
=3x^2+9x+6
we get quadratic equation
find discriminant:
D=b^2-4ac=81-72=9
x=(-b±√D)/2a
x1=-6/6=-1
x2=-12/6=-2
one of the x values should be correct.
but why when I try to put values I get zero
solve the system using elimination -2x + y = 11 2x + 3y= 17
Answer:
point form: (-2,7)
equation form: X = -2, Y = 7
4.Solve -3.1s = -19.22.
A.
-59.582
B.
6.2
C.
-6.2
D.
59.582
Plzzz
Answer:
s=6.2
Step-by-step explanation:
-3.1s=-19.22
divide -19.22 by -3.1 to get s
s=6.2
I need help with solving for y
Answer:
y = [tex]-\frac{5}{3}[/tex] x + 5
Step-by-step explanation:
Solve an equation for a variable mean to leave that variable on one side of that equation by itself.
5x + 3y = 15
5x + 3y - 5x = 15 - 5x
3y = - 5x + 15
[tex]\frac{3y}{3}[/tex] = [tex]\frac{-5x}{3}[/tex] + [tex]\frac{15}{3}[/tex]
y = [tex]-\frac{5}{3}[/tex] x + 5
HELP ASAP
6+ x - y + 10=
Answer:
x-y+16
Step-by-step explanation:
add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)
On a coordinate plane, three of the four vertices of a rectangle are located at the points (0,0). (5,5), and (6,2). What is the area, in square units of the rectangle?
Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
What is the Area of a Rectangle?Area of rectangle = length × width.
What is Distance Formula?Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].
Thus:
Length of rectangle = distance between (0, 0) and (5, 5)
[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]
Width of rectangle = distance between (5, 5) and (6, 2)
[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]
Area of rectangle = √50 × √10
= √500
Area = 10√5
Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
Learn more about area of rectangle on:
https://brainly.com/question/25292087
A helicopter's altitude is changing at a rate of -12 feet per second. Find the
change in altitude of the helicopter after 7 seconds.
Answer:
-84 feet or goes down 84 feet
Step-by-step explanation:
-12*7
Warren used 1/2 of tube of toothpaste and 1/3 of a year at that rate how much toothpaste would he use in one year
Answer:
3 toothpaste
Step-by-step explanation:
Tube of toothpaste : year
1/2 : 1/3
how much toothpaste would he use in one year
Tube of toothpaste : year
x : 1
Seductions
1/2 : 1/3 = x : 1
1/2 ÷ 1/3 = x / 1
1/2 × 3/1 = x/2
3/2 = x/2
x = 3/2 ÷ 1/2
= 3/2 × 2/1
= 6/2
x = 3 toothpaste
Answer:
its 1 1/2
Step-by-step explanation:
Find Warren's rate in tubes of toothpaste per year. Divide
1
2
of a tube of toothpaste by
1
3
of a year.
To divide by
1
3
, multiply by its reciprocal, 3.
1
2
÷
1
3
=
1
2
3
=
13
2
Simplify.
13
2
=
3
2
= 1
1
2
Warren used the toothpaste at a rate of 1
1
2
tubes per year. So, he would use 1
1
2
tubes in 1 year.
Order the following numbers from least to greatest.
Put the least value on the left.
Answer:
-5/2, -2, 1.7
Step-by-step explanation:
pls help I literally don’t get this
P
Find the surface area of a closed box with base width 3 cm, base length 5 cm and height 4 cm.
5 cm
1
4 cm
3 cm
4 cm
5 cm
3 cm
O 74 cm
O 15 cm
O 79 cm
O 94 cm
Answer:
Surface area of box = 94cm²
Step-by-step explanation:
Given that:
Width of box = 3 cm
Length of box = 5 cm
Height of box = 4 cm
Surface Area = 2lw + 2lh + 2hw
Surface area = 2( lw + lh + hw )
Surface area = 2(5*3 + 5*4 + 4*3) = 2(15+20+12)
Surface area = 2(47) = 94 cm²
Hence,
Surface area of box = 94cm²