Answer:
Step-by-step explanation:
x² - 17x + 72 = 0
Sum = -17
Product = 72
Factor = 8 , 9
x² - 17x + 72 = 0
x² - 8x -9x + (-8)*(-9) = 0
x(x - 8) -9(x -8) = 0
(x - 8 ) (x - 9) = 0
Length = (x - 8) units
Width = (x - 9) units
You can swim 200 meters in 15 minutes. Your friend can swim 240 meters at the same
pace at you. How long does your friend swim?
Answer:
18 minutes
Step-by-step explanation:
trust me ツ
Mr. Valdez puts $10,000 in a retirement account and does not make any deposits or withdrawals. The table below shows the amount of money in the account after x years.
A 2-column table with 5 rows. The first column is labeled years with entries 0, 10, 20, 30, 40. The second column is labeled amount (dollar sign) with entries 10,000; 16,000; 27,000; 43,000; 70,000.
What values, rounded to the nearest hundredth, complete the exponential regression equation that models the data?
f(x) =
(
)x
Answer:
f(x)= 9,974.73 (1.05)x
Step-by-step explanation:
edge 2022
Pleasee help
Slope from graph
Answer:
-1 is the slope
Step-by-step explanation:
to find the slope, you should find two different points on the line which is exactly on the grid. For example, (-2,0) and (-1,-1) is an ok choice. The formula for slope is y^2 - y^1 / x^2 - x^1 = slope
so it would look like -1-0 / -1-(-2)
then -1/1
which is -1
good luck
#1 Find the area of the rhombus. Each indicated distance is half the length of its respective diagonal.
#2 Find the area of the rhombus.
Answer:
1 area = 864
2 area =384
Step-by-step explanation:
Answer:
1 area = 864
2 area =384
Step-by-step explanation:
Do you still have this worksheet I really need help
simplify the expression 2(2+4v)
Step-by-step explanation:
2(2+4v)
multiply 2 with the number in bracket
4+8v=0
8v= -4
v=-4/8
v= -1/2
Step-by-step explanation:
2(2 + 4v)
4 + 8v
If you have to find the value of v
4 + 8v = 0
8v = - 4
V = - 4/8 = - 1/2
Can somebody help me find the Domain, Range, Horizontal Asymptote, Y-Intercept, and End Behavior of the function f(x) = -2e^x + 4 ?
Answer:
Domain = R
Range = (-∞, 4)
Hor. asymp = y=4
Y intercept: f(0) = (0,2)
end behaviour:
x → -∞: f(x) → 4
x→ ∞: f(x) → -∞
Step-by-step explanation:
For the domain, it is R because e^x works for all values of x
For the range, y will never be above 4.
The hor. asymptote is found via [tex]\lim_{x \to -\infty} f(x)[/tex] there the e term will be zero, so what is left is y=4.
Y intercept, fill in f(0)
end behaviour: for small x, y goes to the asymptote, for large x, y goes to minus infinity.
Final answer:
Explained the Domain, Range, Horizontal Asymptote, Y-Intercept, and End Behavior of f(x) = -2e^x + 4
Explanation:
Domain and Range:
Domain: All Real Numbers
Range: f(x) ≤ 4
Horizontal Asymptote:
Horizontal Asymptote: y = 4
Y-Intercept:
Y-Intercept: (0, 2)
End Behavior:
End Behavior: As x → ∞, f(x) → 4; As x → -∞, f(x) → -∞
suppose you know the following facts about angle ABC and angle DEF
Answer:
i would say the third choice.
Step-by-step explanation:
both sides in question are all the hypotenuse(s) of the triangles , hence one gets the same way , i.e , the Pythogrean method
increased competition for power among European states and led to imperialism.
Ethnocentrism
Communism
Industrialization
Social Darwinism
Answer:
INDUSTRIALiZATION
Step-by-step explanation:
got it right
Which answer shows 35,067,800 written in scientific notation? 3.50678 times 10 Superscript negative 7 3.50678 times 10 Superscript 7 3.50678 times 10 Superscript 8 35067.8 times 10 Superscript 2
Answer:
B
Step-by-step explanation:
I took the final and this was right!
Final answer:
The number 35,067,800 in scientific notation is 3.50678 times 10 to the power of 7.
Explanation:
The student asked which answer shows the number 35,067,800 written in scientific notation. To convert a number into scientific notation, we place the decimal after the first non-zero digit and count how many places we move the decimal. This count becomes the exponent of 10. In this case, we move the decimal 7 places to the left (from right after the 8 to right after the 3), so the number 35,067,800 in scientific notation is 3.50678 * [tex]10^7[/tex].
- (7p + 6) - 2 (-1 - 2p)
does anyone know the answer?
Answer: 225
Step-by-step explanation:
The daily gazzette has 25 companies that pay for advertising each month the newspaper wants to increase its advertisers by 5 each month what equation can be used to determine m the number of months it will take to double it
Answer: 25+5m =50
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The actual number of companies that pay for advertising each month (25) plus the product of the companies added per month (5) and the number of months (m) must be equal to the actual number of advertisers multiplied by 2 ( since they want to double it ).
Mathematically speaking:
25 +5m = 25 (2)
25+5m =50
Feel free to ask for more if needed or if you did not understand something.
Answer:
m=a/5
Step-by-step explanation:
From the statement, you have that the number of advertisers would be equal to the number of companies the daily gazzette has plus the 5 advertisers the newspaper wants to increase each month multiply for the number of months. From this, the expression would be:
2a=a+5m, where
a= number of advertisers
From this, we can isolate m:
5m=a
m=a/5
You can solve it to find the number of months it will take to double the advertisers:
m=25/5= 5
It will take 5 months as:
25+(5*5)= 25+25= 50
A group of friends will host a party and split the cost of food and supplies evenly. The cost that each person will pay is inversely proportional to the number of friends who decide to host. If five friends host the party, each person pays $12 for food and supplies. Write an equation that describes the relationship between cost (c) that each host pays and the number of hosts (h).
Answer:
C=60/h
Step-by-step explanation:
Cost is inversely Proportional to the number of friends who decides to host.
If five (5) friends host the party,
And each friend pays $12 for food and supplies
The equation that describes the relationship is
C=k ×1/h
Where,
C= cost that each host pays
K=constant
h=number of host
Therefore,
$12=k×1/5
$12=k/5
Make k the subject of the formula
$12=k*1/5
Multiply both sides by 5
12×5=k*1/5×5
60=k*5/5
60=k*1
60=k
Sub the value of k into
C=k ×1/h
C=60*1/h
C=60/h
Answer:
D) c = 60∕h
Step-by-step explanation:
How do you find the circumference of a circle
Answer:
You can find the circumference of a circle by using the measurement of its diameter, radius or area. The circumference of a circle is the distance around the circle's edge from one point, meeting back at that point.
Example: C = π ⋅ d = 2 π ⋅ r
what is the y-intercept i’d the equation 2y+5x=-14
Answer:
The y-intercept is -7
Step-by-step explanation:
Divide both sides by 2, to isolate the y -variable. Then you get
y = -5/2x - 7
Answer:
-7
Step-by-step explanation:
2y+5x=-14
-5x both sides
2y=-5x-14
/2 both sides
y=-5x-7
The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached the
spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
m
10
10
S.
m
3
0 m
ma
30
The equation that relates the mass of the object m and the length of the spring s is s = 0.3m, based on the given information that a 30-gram object stretches the spring 9 centimeters.
The direct variation between the mass of an object and the length of a spring can be described by the equation:
s = k × m, where s is the spring length, m is the mass of the object, and k is the constant of proportionality.
For a 30-gram object stretching the spring to 9 centimeters, the constant k can be found using:
k = s/m, which is k = 9 cm / 30 g, so k = 0.3 cm/g.
Therefore, the equation that relates the mass of the object m and the length of the spring s is s = 0.3m.
Find the product using the number line. 3(-6) = A number line going from negative 7 to positive 3. An arrow goes from negative 6 to negative 4, from negative 4 to negative 2, and from negative 2 to 0. What error(s) are shown here? Check all that apply. The arrows should be a length of 2. The arrows should be a length of 6. The arrows should be pointing in the positive direction. The arrows should start at zero. The arrows should point in the negative direction.
Answer:
B - The arrows should be length of 6.
D - The arrows should start at zero.
E - The arrows should point in the negative direction
Step-by-step
since it is asking us to find the product you will have to start at negative 6 and then you are going to jump 3 spaces 3(-6)
Answer:
B - The arrows should be length of 6.
D - The arrows should start at zero.
E - The arrows should point in the negative direction
Step-by-step explanation:
Brad had $530.45 in his checking account. He wrote checks for $16.50 and $95.68. He also made a deposit of $19.13. What is the approximate final balance in his account?
Answer:
Around $437.4
Step-by-step explanation:
Answer:
437.40
Step-by-step explanation:
a check would be a decrease to his checking account balance so 530.45 minus 16.50 would equal 513.95. 513.95 minus 95.68 equals 418.27. a deposit would be a increase to his balance. 418.27 plus 19.13 would equal 437.40.
Graph y = 3/4 + 2.??? Idk what this is
Answer:
This equation is for a linear graph.
y = mx + b, where m is the slope and b is the y-intercept. To graph this, plot a point at (0, 2), as that is your y-intercept.
As for the slope, always remember [tex]\frac{rise}{run\\}[/tex]. What this means is you first count up before counting horizontally for the slope. Your slope is 3/4, so from your y-intercept, count three numbers up, and four to the right (since the slope is positive). This second point should be at (4, 5)
Step-by-step explanation:
Peter & Alex share a lottery win of £4450 in the ratio 4 : 1. Peter then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3. How much more does his wife get over their son?
Answer:
His wife gets $1068 more than his son.
Step-by-step explanation:
Peter and Alex:
Peter gets [tex]\frac{4}{4+5} = \frac{4}{5}[/tex] of the total amount.
[tex]\frac{4*4450}{5} = 3560[/tex]
Peter gets $3560. He divides with his wife and son.
Peter gets [tex]\frac{1}{1+6+3} = \frac{1}{10}[/tex] of the amount, the wife gets [tex]\frac{6}{1+6+3} = \frac{6}{10}[/tex] and the son gets [tex]\frac{3}{1+6+3} = \frac{3}{10}[/tex]
Wife:
[tex]\frac{6*3560}{10} = 2136[/tex]
His wife gets $2136
Son:
[tex]\frac{3*3560}{10} = 1068[/tex]
How much more does his wife get over their son?
2136 - 1068 = 1068
His wife gets $1068 more than his son.
This is a easy 25 pts
Answer:
46440
Step-by-step explanation:
8% of 43,000+43,000
Answer:
46440
Step-by-step explanation:
First find the amount that the salary increased
43,000 * 8%
43000*.08
3440
Add this to the original salary to find the new salary
43000+3440
46440
Can someone please help me with this.
Answer: The answer it C. 135
Step-by-step explanation:
It is a supplementary angle so therefore it’s supposed to equal 180 degrees.
So, 180-45= 135
30 pts for any one who answers this question just use the image
and also i will be giving you a brainly if you answer this question right
Answer: 50,50,70
Step-by-step explanation:
Part A : 50 Males preferred playing sports
Part B : 50 people(including male and female both)
Part C : 70 females
find the hypotenuse for the following
Answer:
6.403 units
or [tex]\sqrt{41}[/tex]
Step-by-step explanation:
We want the hypotenuse.
The hypotenuse is from the point (-3, -1) to point (2, 3)
D( (-3, -1), (2, 3)) = root ( (2 - (-3))^2 + (3 - -1)^2 ) =
D( (-3, -1), (2, 3)) = root ( 5^2 + 4^2) = root( 25 + 16)
D( (-3, -1), (2, 3)) = root ( 41)
D( (-3, -1), (2, 3)) = 6.403 units
Answer:
6.4 (rounded to nearest tenth)
Step-by-step explanation:
Distance from (-3,-1) to (2,-1) is 5 units
Distance from (2,-1) to (2,3) is 4 units
4^2+5^2=x^2 x=hypothenuse
16+25=x^2
41+x^2
(take square root of both sides)
x=6.4
The length of an alligator in a zoo is 1458 feet. The Everglades National Park lists the longest alligator ever recorded in Florida at 17512 feet. Which is the difference in their lengths?
The difference in length is 16,054 feet.
Explanation:The difference in length between the alligator in the zoo and the longest alligator ever recorded in Florida is 16,054 feet.
To find the difference, you subtract the length of the alligator in the zoo from the length of the longest alligator recorded. So, 17,512 feet - 1,458 feet = 16,054 feet.
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Emily is training for a 10K race. On day one, she runs for 20 minutes. On day two, she runs for 30 minutes. On day three, she runs for 40 minutes. If this pattern continues, how many minutes will she run on day 8?
Answer:
90 minutes
Step-by-step explanation:
Given that On day one, she runs for 20 minutes. On day two, she runs for 30 minutes. On day three, she runs for 40 minutes, this pattern may be presented as an arithmetic sequence shown below
20, 30, 40 ...
For an arithmetic sequence whose first term is a, and a common difference d, the nth term of the sequence may be given as
Tn = a + (n - 1)d
Hence the first term is 20, the common difference d is 10
On the 8th day, the 8th term
T8 = 20 + (8 - 1) 10
= 20 + 70
= 90 minutes
Final answer:
Emily will run for 90 minutes on day 8, calculated by applying the formula for the n-th term of an arithmetic sequence with a first term of 20 minutes and a common difference of 10 minutes.
Explanation:
Emily is training for a 10K race with a pattern of increasing her running time by 10 minutes each day. On day one, she runs for 20 minutes, on day two for 30 minutes, and on day three for 40 minutes. To calculate how many minutes she will run on day 8, we can observe this as an arithmetic sequence where the common difference is 10 minutes.
Using the formula for the nth term of an arithmetic sequence, which is an = a1 + (n-1)d, where:
a1 is the first termd is the common differencen is the term numberWe know that a1 is 20 minutes, d is 10 minutes, and n is 8 because we are looking for the time on day 8.
Therefore, a8 = 20 + (8-1)
10 = 20 + 70 = 90 minutes.
So, on day 8, Emily will run for 90 minutes.
Can anyone help with polynomials?
Yes. I can help. What do you need with help with concerning polynomials?
A rectangle has a height of k2 + 3 and a width of k2 + 7.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
k2
2
+
Answer:
The area of the rectangle in polynomial form is [tex]k^4 +10 k^2 + 21[/tex]
Step-by-step explanation:
Given
Shape: Rectangle
[tex]Height: k^2 + 3[/tex]
[tex]Width: k^2 + 7[/tex]
Required
Area of the rectangle
The area of a rectangle is calculated as thus;
[tex]Area = Length * Width[/tex]
By substituting [tex]k^2 + 3[/tex] for height and [tex]k^2 + 7[/tex] for width; This gives
[tex]Area = (k^2 + 3)(k^2 + 7)[/tex]
Expand the bracket
[tex]Area = k^2(k^2 + 7) + 3(k^2 + 7)[/tex]
Open each bracket
[tex]Area = k^2*k^2 + k^2*7 + 3*k^2 + 3*7[/tex]
[tex]Area = k^4 +7 k^2 + 3k^2 + 21[/tex]
[tex]Area = k^4 +10 k^2 + 21[/tex]
Hence, the area of the rectangle in polynomial form is [tex]k^4 +10 k^2 + 21[/tex]
Find f(2) if f(x) = (x + 1)2.
5
6
9
Answer:
6
Step-by-step explanation:
(2+1)2=
(3)2=
6
Hope this helps!
Explain how to model the problem with algebra tiles and then write an algebraic expression that represents the situation.
Brielle made four more free throws.
Answer: The variable is the number of free throws and is modeled by an orange x tile. Making 4 more free throws is molded by 4 orange + tiles. The expression is x + 4.
Step-by-step explanation:
The algebraic expression that represents the situation should be x + 4.
Written of algebraic expression:SInce it is mentioned that Brielle made four more free throws.
So here the variable represents the no of free throws and should be modeled by an orange x title.
So, the algebraic expression should be x + 4
Hence, The algebraic expression that represents the situation should be x + 4.
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