Darlene earned 6.75 interest in her savings account for a 15-month period. What was the average amount of interest Darlene earned on her savings account per month?
Perform the stated transformation on the parent function f(x) = x2
Translate 9 units left and reflect in the x-axis
Answer:
f(x) = -1 (x-9)^2
Step-by-step explanation:
To translate left or right, you must modify the x directly. As in (x-9). If you wanted to move it up or down you would do X^2 ± n, not directly modifying the x.
as well as, you are essentially making a new "zero" through this translation to (-9,0). i'm not sure if you're at that yet though.
as for the translation over the x axis.
when y is negative(or opposite), you have translated over the x-axis.
when x is negative(or opposite), you have translated over the y-axis.
Since you are doing the exponents, then the parenthesis, and then multiplying -1 last (by pemdas) you are ensuring that f(x), the output, or y, is always opposite or negative.
Which expression is equal to “7 times the sum of a number and 4"?
Answer: 7 (x+4)
Step-by-step explanation: Since the expression asks for 7 times the sum of a number and 4, you would put x + 4 in parentheses since multiplying 7 comes afterwards.
The product of y and 2
Answer:
2y
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Yesterday jack drove 30 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
24.4 miles per gallon or 24 2/5 miles per gallon.
The unit rate of Jack's car is 10.8 miles per gallon.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Yesterday jack drove 30 1/2 miles. He used 1 1/4 gallons of gasoline.
∴ The unit rate for miles per gasoline can be obtained if we divide the total no. of miles by the total no. of gasoline used which is,
= (13.5/1/25).
= 10.8 miles per gallon.
learn more about the unitary method here :
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f John consistently makes $1200 deposit into his saving account every year, how many years would it take for John to have his first $1,000,000? (Round your answer up to the nearest whole number.)
Answer:
834 years.
Step-by-step explanation:
Let [tex]y[/tex] equal years.
Construct an equation:
[tex]1200y=1000000[/tex]
Divide both sides of the equation by the coefficient of [tex]y,[/tex] which is [tex]1200[/tex]:
[tex]y=833.3333...\\[/tex]
Round up to the nearest whole number:
[tex]y=834[/tex]
Which of the following were grown as surplus crops and used for trade in the southern colonies? Choose all that apply. tobacco wheat rice indigo
Answer:
I think it is Tobacco, rice and Indigo
Step-by-step explanation:
All of the Southern colony's like Virginia, Georgia, North and South Carolina and Maryland all had the cash crops of tobacco, rice and indigo.
Maryland's cash crops- Tobacco
Virginia's cash crops-Tobacco, Rice and Indigo
North Carolina- Tobacco
South Carolina- Rice
Georgia- Tobacco, Rice and Indigo
Hope this helped!!! :)
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation -3x+3=4-4x?
Answer: x= 1
Step-by-step explanation: solve for x by simplifying both sides of the equation, then isolating the variable.
Solve the system of equations by
y= 5x + 8
y = 8x + 9
A circle has a diameter of 22 cm. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
[tex]\boxed {\tt 69.08 \ centimeters}[/tex]
Step-by-step explanation:
The circumference of a circle can be found using the following formula:
[tex]c= \pi d[/tex]
where d is the diameter. We know the diameter of the circle is 22 centimeters. Substitute the value in for d.
[tex]d= 22 \ cm[/tex]
[tex]c= \pi* 22 \ cm[/tex]
We also know we are using 3.14 for pi. Substitute it in for pi.
[tex]c= 3.14 * 22 \ cm[/tex]
Multiply.
[tex]c=69.08 \ cm[/tex]
The circumference of the circle is 69.08 centimeters.
Answer:
Circumference = 69.08 cm
Step-by-step explanation:
Diameter = 22
Radius = 22/2
= 11
Circumference = 2πr
= 2 × 3.14 × 11
= 69.08 cm
Hoping it helps
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Y = l x + 5 l pleaseeee
Answer:
y = x + 5
Step-by-step explanation:
We can take away the absolute value signs (as the equation does not differ with or without them).
To graph, one must remember slope-intercept form (y = mx + b)
M is the slope. When a clear "m" is not present, then one must assume that it is one, as the product of one and x is x.
B is where the y-axis intercepts the line (when x equals zero, y equals b). This is called the y-intercept. In this equation, b is five, so one point on the line is (0, 5). Then, following the slope (which is rise over run, or y over x), one must go up one, over one, up one, over one (up one unit, then to the right one unit (then mark your spot as a point)), then, draw a straight line connecting the two or more points. And there you have it!
HURRY! Which expression represents the sixth term in the binomial expansion of (5y + 3)10?
10C5(5y)5(3)5
10C6(5y)4(3)6
510C5(y)5(3)5
510C6(y)4(3)6
Answer:
B. 10C6(5y)^4(3)^6
Step-by-step explanation:
The general binomial expansion formula is expressed using the formula:
(x+y)ⁿ = nCr x^{n-r}y^r
Given the equation (5y+3)^10
To get the sixth term of the expansion, we will compare the general formula given with the question
On comparison, x = 5y y = 3 and n = 10. Since we need the sixth term of the sequence, r will be equal to 6 i.e r = 6
Substitute the variables into the binomial formula above to get the sixth term.
(5y+3)^10 = 10C6 (5y)^10-6 (3)6
(5y+3)^10 = 10C6(5y)^4(3)^6
Hence the sixth term in the binomial expansion is 10C6(5y)^4(3)^6
Answer:
A on edge
Step-by-step explanation:
Given f(x)=2x + 5 and g(x)=x^2 - 3
f(3)=
g(2)=
g(f(-1))=
f(g(-1))=
g(f(x))=
Answer:
See below
Step-by-step explanation:
Given
f(x)=2x + 5 and g(x)=x^2 - 3=================
f(3)
f(3)= 2*3 + 5 = 11g(2)
g(2)= 2^2 - 3 = 1g(f(-1))= 6
f(-1) = -2 + 5 = 3g(3) = 3^2 - 3 = 6f(g(-1))= 1
g(-1) = (-1)^2 - 3 = -2f(-2) = -2*2 + 5 = 1g(f(x))
g(f(x))= (2x +5)^2 - 3 = 4x^2 + 20x + 25 - 3 = 4x^2 + 20x + 22If $5,860 was raised, which statements are true? Check all that apply.
Answer:
i dont undserstand this
Step-by-step explanation:
Write the equation of the line passing through the points (-7,7) and (7,1).
Answer and work down below. Let me know if you have questions
Practice using a table to determine key features of the graph of a continuous function. A 2-column table with 6 rows. The first column is labeled x with entries negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries negative 9, negative 8, negative 7, 0, 19, 56. What is the x-intercept of the continuous function shown in the table? (0, –8) (0, 2) (–8, 0) (2, 0)
Answer:
2,0
Step-by-step explanation:
Answer:
the answer too this answer is 2.0
Step-by-step explanation:
I just did it on edge i got it right.
the endpoints of cd are c(5,3) and d(-3,-6) find the coordinates of the midpoint M
Answer:
Step-by-step explanation:
Midpoints of two coordinates is expressed using the formula;
M(X, Y) = (x2+x1/2, y2+y1/2)
Given the coordinates c(5,3) and d(-3,-6)
x1 = 5, y1 = 3, x2 = -3 and y2 = -6
X = x1+x2/2
X = 5+(-3)/3
X = 5-3/2
X = 2/2
X = 1
Also;
Y = y1+y2/2
Y = 3+(-6)/2
Y = 3-6/2
Y = -3/2
Y = -1.5
Hence the coordinates of the midpoint M is (1, -1.5)
Answer:
Step-by-step explanation:
Hence the coordinates of the midpoint M is (1, -1.5)
Please help ASAP 15 points
Alternate interior angles - <4 & <6
Vertical angles - <5 & <7
Alternate exterior angles - <1 &<7
Supplementary angles - <6 & <7
Corresponding angles - <8 & <4
Consecutive interior angles - <3 & <6
The temperature in a town is 36.1°F during the day and -8.9°F at night. Find the difference in the
temperatures.
The difference in temperature is N°r.
HELP HELP
Answer:
45 degrees
Step-by-step explanation:
Drag the numbers to order them from least to greatest.
0.7
-4.5
0.3
-0.5
2.3
Answer:
-4.5 -0.5 0.3 0.7 2.3
Step-by-step explanation:
The rational number -17 is equal to what fraction?
Answer:
-17
Step-by-step explanation:
-17 is a prime number.
Wet N' Dry camp provides water-based activities and ground sports activities for a
maximum of 80 campers. There should be a minimum of eight campers doing water-based activities and a minimum of five campers doing ground sports activities.
Part 1) Write a system of three inequalities hat describes this situation. Define your variables.
Part 2) Graph the system to show all possible out comes.
Part 3) Write one possible solution to the problem in sentence form.
Answer:
x+y≤80; x≥8; y≥5see attached for a graphTwenty campers are doing water-based activities and 40 campers are doing ground-based activities.Step-by-step explanation:
1. Let x and y represent the numbers of campers doing water- and ground-based activities, respectively.
x + y ≤ 80 . . . . . . a maximum of 80 campers can be accommodated
x ≥ 8 . . . . . . . . . . a minimum of 8 campers should be water-based
y ≥ 5 . . . . . . . . . . a minimum of 5 campers should be ground-based
__
2. See the attachment for a graph. Possible outcomes are shaded red. The boundary lines of the shaded area are included in the possible outcomes.
__
3. Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.
1. Write 0.2 as a fraction.
Let x=
10x=
TE
10x - X=
14
NE
9x =
x=
So 0.2 is equal to
Answer:
2/10
Step-by-step explanation:
0.2 is equal to 2 tenths which is 2/10
small town whose population was 18,395 ten years ago, has lost 270 inhabitants each year since then. what is the present population of small town?
Answer:
15965
Step-by-step explanation:
a=18395
d= -270 (lost inhabitants every year)
n=10
tn=?
We know that,
tn= a+(n-1)×d
=18395+(10-1)×(-270)
=18395+9×(-270)
= 18395 -2430
=15965
Hence,the present population of small town is 15965.
can someone please help?? (assume that no variable equals 0)
True or false: f(x) is a function. 0 3 4 2 8 12 0 f(x) A. True B. False
Answer: true
Step-by-step explanation: f(x) is a function because each x value (left oval) has one y value (right oval)!
simplify the expression: 14-|-10+3|
Answer:
7
Step-by-step explanation:
14-|-10+3|
First find what is in the absolute value
14-|-7|
Take the absolute value
14 - 7
7
What expression is equivalent to (3x^2-7)
Dan has 18 chocolates. Lee has 14 chocolates. How many fewer
chocolates does Lee have?
Answer:
4 Fewer Chocolates
Step-by-step explanation:
18-14=4
Answer:
4
Step-by-step explanation:
Dan's Chocolates = x
Lee's Chocolates = y
x - y = ?
18 - 14 = 4
Lee has 4 few chocolates than Dan.
A man has 29 coins in his pocket, all of which are dimes (worth $ 0.10 each) and quarters (worth $ 0.25 each). If the total value of his change is $ 4.85 , how many dimes and how many quarters does he have?
Answer:
58
Step-by-step explanation:
