Answers
Answer:
b = 20 when a = 8.
Step-by-step explanation:
For this problem, we will simply plug the value of a=8 into the given equation for b, to find the value of b.
b = [ (a)^2 / 4 ] + 4
b = [ (8)^2 / 4 ] + 4
b = [ 64 / 4 ] + 4
b = [ 16 ] + 4
b = 20
Hence, when the value of a=8, then the value of b=20.
Cheers.
Answer:
20
Step-by-step explanation:
b = a^2/4 +4
Let a =8
b = 8^2 /4 +4
= 64/4 +4
= 16 +4
= 20
Related 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)
Answers
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.
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?
Answers
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.
simplify the expression: 14-|-10+3|
Answers
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
I hopes this helped .
Bye !
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
Answers
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:
9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of
20%. Find
1) the cost price of the article
2)the selling price of the article
Answers
Answer:
The cost price of the article was Nu 1,000
The original selling price was Nu 1,120
The second selling price was Nu 1,200
Step-by-step explanation:
System of Equations
Let's call:
x = Original selling price of the article
y = Cost of the article
The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:
0.12y = Original profit
Setting up the equation, we have:
[tex]x-y=0.12y[/tex]
The second condition states the selling price is 80 Nu more than before, that is:
x+80= Second selling price of the article
y = Cost of the article (it doesn't change)
The profit of this condition is 20%, thus:
0.2y = Second profit
This produces a second equation:
[tex]x+80-y=0.2y[/tex]
Let's put both equations together to form a system of equations:
[tex]x-y=0.12y[/tex]
[tex]x+80-y=0.2y[/tex]
Operating on both equations:
[tex]x=1.12y[/tex]
[tex]x=1.2y-80[/tex]
Equating both equations, we have an equation with only y's:
[tex]1.12y=1.2y-80[/tex]
Subtracting 1.2y on each side:
[tex]1.12y-1.2y=-80[/tex]
Operating:
[tex]-0.08y=-80[/tex]
Solving:
[tex]\displaystyle y=\frac{-80}{-0.08}=1,000[/tex]
a)
The cost price of the article was Nu 1,000
b) The selling price of the article will be calculated in both cases:
Original selling price: x=1.12y= 1.12*1000=1,120
The original selling price was Nu 1,120
The second selling price was x+80=1,200
The second selling price was Nu 1,200
Which expression is equal to “7 times the sum of a number and 4"?
Answers
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.
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.)
Answers
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]
Y = l x + 5 l pleaseeee
Answers
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!
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.
Answers
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
Please follow me
1. Write 0.2 as a fraction.
Let x=
10x=
TE
10x - X=
14
NE
9x =
x=
So 0.2 is equal to
Answers
Answer:
2/10
Step-by-step explanation:
0.2 is equal to 2 tenths which is 2/10
Perform the stated transformation on the parent function f(x) = x2
Translate 9 units left and reflect in the x-axis
Answers
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.
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?
Answers
The rational number -17 is equal to what fraction?
Answers
Answer:
-17
Step-by-step explanation:
-17 is a prime number.
Marcia has 412 flowers for centerpieces she uses 8 flowers for each center how many center pieces can she make
Answers
Answer:
5l.5
Step-by-step explanation: 412 divieded into 8 is 51 or 51.5
Answer:
51
Step-by-step explanation:
To find how many centerpieces she can make, divide 412 by 8, since she has 412 flowers and uses 8 for each one:
412/8
= 51.5
Since centerpieces can only be whole numbers in the real world, this has to be rounded down to 51.
So, she can make 51 centerpieces.
The product of y and 2
Answers
Answer:
2y
From: iOE your friend
*Be awesome Be you*
Drag the numbers to order them from least to greatest.
0.7
-4.5
0.3
-0.5
2.3
Answers
Answer:
-4.5 -0.5 0.3 0.7 2.3
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))=
Answers
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 + 22True or false: f(x) is a function. 0 3 4 2 8 12 0 f(x) A. True B. False
Answers
Answer: true
Step-by-step explanation: f(x) is a function because each x value (left oval) has one y value (right oval)!
can someone please help?? (assume that no variable equals 0)
Answers
If $5,860 was raised, which statements are true? Check all that apply.
Answers
Answer:
i dont undserstand this
Step-by-step explanation:
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?
Answers
Answer: x= 1
Step-by-step explanation: solve for x by simplifying both sides of the equation, then isolating the variable.
the endpoints of cd are c(5,3) and d(-3,-6) find the coordinates of the midpoint M
Answers
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
Answers
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
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
Answers
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!!! :)
Yesterday jack drove 30 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answers
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 :
https://brainly.com/question/28276953
#SPJ2
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?
Answers
Answer:
58
Step-by-step explanation:
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
Answers
Answer:
45 degrees
Step-by-step explanation:
Solve the system of equations by
y= 5x + 8
y = 8x + 9
Answers
An animator is drawing a scene in which a ladybug moves around three mushrooms. The figure shows
the starting position of the ladybug. The animator rotates the ladybug 180° around mushroom A, then
180° around mushroom B, and finally 180° around mushroom C. What are the final coordinates of the
Ladybug?
What are the final coordinates of the ladybug?
Answers
Answer:
(-1, 4)
Step-by-step explanation:
Original position of the ladybug → (-1, 4)
Animator rotates the ladybug 180° around the mushroom A.
Coordinates of the new position of the ladybug → (-5, -4)
Now this point is rotated by 180° around the mushroom B,
Coordinates of the new position → (0, 3)
Point (0, 3) has been rotated again by 180° about the mushroom C,
Coordinates of the new position → (-1, 4)
Therefore, ladybug will come back to its original position after these transformations at (-1, 4).
Write the equation of the line passing through the points (-7,7) and (7,1).
Answers
Answer and work down below. Let me know if you have questions
