Equation: 9× J= 108
Answer :J=12
Completing the Square
Solve each equation by completing the square.
1) 7x2 + 14x - 65--9
Answer:
2(30-7x)
Step-by-step explanation:
=14+14x-65-9
=14+14x-79
=60+14x
=2(30-7x)
Graph the function rule
Y= -3/4 x-1
Which scenario describes this picture?
Answer:
It"s the second answer, "An 8-foot ramp leans....".
Step-by-step explanation:
Answer:
Step-by-step explanation:
⊕ An 8-foot ramp leans against a building 5 feet away.
cos x = [tex]\frac{5}{8}[/tex] ⇒ x ≈ 51.3178°
The fourth term of a geometric progression is 4 and the seventh term is 32/125. Find the first term, the common ratio and the sum of the first nth terms. Hence, deduce the sum to infinity.
Answer:
common ratio is 2/5
First term is 125/2
The sum of the first n terms is: [tex]S_n=\frac{125}{2} \, \frac{1-(2/5)^n}{3/5}[/tex]
The infinite sum is: [tex]S_\infty =\frac{625}{6}[/tex]
Step-by-step explanation:
The 4th term is 4, and the seventh term is 32/125 so we use the definition of nth term of a geometric sequence to create the following two equations:
[tex]a_4=a_1\,*\,r^{4-1} = a_1\,*\,r^3\\4=a_1\,*\,r^3\\and\\a_7=a_1\,*\,r^{7-1} = a_1\,*\,r^6\\\frac{32}{125} = a_1\,*\,r^6[/tex]
Now we divide a7 by a4 to get rid of a1 and work on determining the common ratio of the sequence:
[tex]\frac{a_7}{a_4} =\frac{8}{125} =\frac{a_1\,r^6}{a_1\,r^3} =r^3\\then\\r=\sqrt[3]{\frac{8}{125} } =\frac{2}{5}[/tex]
So, the common ratio is 2/5
we can now determine the first term:
[tex]a_4=4=a_1\,*\,(2/5)^3\\a_1=\frac{125*4}{8} =\frac{125}{2}[/tex]
The sum of the first n terms is given by the formula:
[tex]S_n=\frac{125}{2} \, \frac{1-(2/5)^n}{1-(2/5)} \\S_n=\frac{125}{2} \, \frac{1-(2/5)^n}{3/5}[/tex]
and therefore, the infinite sum is:
[tex]S_\infty = a_1\,\frac{1}{1-r} = \frac{125}{2} \,\frac{5}{3} =\frac{625}{6}[/tex]
A rectangle is 2 meters long and 50 centimeters wide. What is its perimeter, in centimeters?
Answer:
250 centimeters
Step-by-step explanation:
2 meters into centimeters is 200 so 200+50=250
Answer:
100cm
Step-by-step explanation:
what is the greatest common factor of 14x+28+21
Answer:
7 (2x+7)
Step-by-step explanation:
︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
Answer:
The greatest common factor is 7.
Step-by-step explanation:
7 x 2 = 14
7 x 4 = 28
7 x 3 = 21
what number is represented by this number discs
Answer:
15
Step-by-step explanation:
How many times does 35 go into 100 please give correct answer max points.
Answer:
100/35 = 2
35 goes into 100 2 times
Step-by-step explanation:
1. Determine whether line KM and line ST are Parallel, Pers
Line KM has a slope of 5/8
Line ST has a slope of -8/5
Answer:
Since the slope of KM and ST are different, they are not parallel
Step-by-step explanation:
Slope of line KM = [tex]\frac{5}{8}[/tex]
Slope of ST = [tex]-\frac{8}{5}[/tex]
Determine whether the lines are perpendicular;
Solution:
We can use the slope of a line to determine whether they are perpendicular or parallel to one another.
Parallel lines do not meet one another
Perpendicular lines cross one another at an angle of 90°
Two lines are parallel if their slopes are the same;
Since the slope of KM and ST are different, they are not parallel
Now move vertices A, B, and C of ∆ABC to create a triangle of your choice. (Note: the tool will allow you to create only certain kinds of triangles.) Does the relationship between the base angles change as the vertices change? If so, how?
Answer:
The relationship between the base angles does not change. The measures of the base angles of the isosceles triangle remain equal even if the vertices of the isosceles triangle change.
Step-by-step explanation:
Here is the answer from Plato. Hope this helps :)
Answer:
The relationship between the base angles does not change. The measures of the base angles of the isosceles triangle remain equal even if the vertices of the isosceles triangle change.
Step-by-step explanation:
Exact Edmentum sample answer
12 divided by 1/4 please help got a test next Monday
Answer:
48
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
When dividing fractions flip and multiply.
So 12 would become 1/12
and 1/4 would become 4/1
Now multiply
[tex]\frac{1}{12}*\frac{4}{1}= \frac{4}{12} = \frac{1}{3}[/tex]
So the answer is 1/3
When dividing fraction remember to flip then multiply much easier that way!
Hope this helps!!
what is 12+12 and give good reson why
Answer:
24
Step-by-step explanation:
you have 12 of something and Are adding 12 to it.
The two triangles are similar, What is the length of DE?
Answer:
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. The corresponding sides of similar triangles are in proportion.
I hope this might help you
Mark it as brainliest answer and follow me
Round 4,287,965 to the nearest thousand
Answer:
It is 4,288,000.
Step-by-step explanation:
To round to the nearest thousand, you need to find the thousands place. In the thousands place there is a "7". Okay, we've found it, so the next step is rounding.
To round, there is a handing phrase that we can use to know whether we should round the place up or down. It is "4 or less, let it rest. 5 or more, add 1 more." We need to apply this phrase to the number behind the place we need to round (so apply it to the place behind the thousands place).
When we look behind the thousands place, we see there is a 9. Apply the rule to that. Since 9 is above 5 and not less than 4, we need to add one more to the thousands place.
That means after we round, the 7 turns into a 8. That's how you get 4,288,000.
Hope this makes sense <3
2/4=13/x ( need help on this to
Answer:
x=6.5
Step-by-step explanation:
Cross multiply
4x=26
Divide 26/4 ( 6.5 )
x=6.5
Sofia used these steps to find the inverse of function f
She made a mistake in step__(2,6,4,3,5)?
She should have_____
.dived each side by 8 instead of multiplying
.replaced x with f(x)
.divided each side by 3 instead of multiplying
.added 4 to each side instead of subtract
.restricted the domain to x>0
Answer:
Step-by-step explanation:
Step 1 f(x) = [tex]\frac{3x+4}{8}[/tex] Given
Step 2 y = [tex]\frac{3x+4}{8}[/tex] Change f(x) to y
Step 3 x = [tex]\frac{3y+4}{8}[/tex] Switch x and y
Step 4 8x = 3y + 4 multiply each side by 8
Step 5 8x - 4 = 3y Subtract 4 from each side
Step 6 [tex]\frac{8x-4}{3}=y[/tex] Divide by 3 on each side
Step 7 [tex]\frac{8x-4}{3}=f^{-1}(x)[/tex] Replace y by [tex]f^{-1}(x)[/tex]
Therefore, inverse of the function will be,
[tex]\frac{8x-4}{3}=f^{-1}(x)[/tex]
Sofia made a mistake in step 6. She should have divided both the sides by 3 instead of multiplying each side by 3.
Sophia has made mistake in step 6. She should have divided each side by 3 instead of multiplying.
The given function is [tex]f(x)=\dfrac{3x+4}{8}[/tex].
It is required to calculate the inverse of the function.
So, the steps involved in finding the inverse of the function will be,
Step 1:
Write the given function as,
[tex]f(x)=\dfrac{3x+4}{8}[/tex]
Step 2:
Change the function f(x) to y as,
[tex]y=\dfrac{3x+4}{8}[/tex]
Step 3:
Switch x and y as,
[tex]x=\dfrac{3y+4}{8}[/tex]
Step 4:
Multiply each side of the equation by 8 as,
[tex]8x=8\dfrac{3y+4}{8}\\8x=3y+4[/tex]
Step 5:
Now, subtract 4 from each side of the equation as,
[tex]8x-4=3y+4-4\\8x-4=3y[/tex]
Step 6:
Now, it is required to divide each side by 3.
[tex]\dfrac{8x-4}{3}=\dfrac{3y}{3}\\\dfrac{8x-4}{3}=y[/tex]
Step 7:
Now, replace y with [tex]f^{-1}(x)[/tex] as,
[tex]\dfrac{8x-4}{3}=f^{-1}(x)[/tex]
So, the required inverse function should be [tex]f^{-1}(x)=\dfrac{8x-4}{3}[/tex].
Therefore, Sophia has made mistake in step 6. She should have divided each side by 3 instead of multiplying.
For more details, refer to the link:
https://brainly.com/question/19606498
Bob has a coin collection made up of pennies and nickels. If he has three times as many pennies as nickels and the total face value of the coins is $416, how many coins of each kind are in the collection?
Answer:
I think its 15600..
Step-by-step explanation:
box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the amount of material used. sides of base
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
What is the function rule for the line?
Answer: f(x) = -3/2x -2
Step-by-step explanation:
Slope form of a line is y=mx+b, where b is the y-intercept and m is the slope. We find the y-intercept when we look at when x is 0 which would be -2. The slope is graphing to plots and determining if the slope is positive- going up- or negative- going down. The slope is going down and after using y2 - y1 / x2 - x1, I found the slope was -3/2.
Cassandra has $2000 dollars in a bank account that she uses to make automatic $900.01 mortgage
payments each month. If Cassandra stops making deposits to that account, when would automatic
payments make the value of the account zero? Use a table to estimate the solution. Then use a graphing
calculator to approximate the x-intercept
Answer:
no
Step-by-step explanation:
it's CASSANDRA business so she solve it herself
im not sure this one is confusing
Can someone help me with this.. It is timed I WILL MARK YOU AS BRAINLIEST
Answer:
1) dividend
2) divisor
3) quotient
Alex earned $75 mowing lawns. He decided to put $25
into saving and spent $29.99 on a new shirt. He wants
to buy socks for $6.25 per pair. What is the maximum
number of pairs of socks he can buy?
Answer:
Alex can buy "3" socks
Step-by-step explanation:
75- 25 =50
50- 29.99 = 20.01
20.01/ 6.26= 3.02
Since you can't get a portion of a sock you just take the first number (which is 3). Therefore, Alex can only buy three socks.
What is the graph of the function rule?
1. y= 3x - 2 (1 point)
Algebra 1
This should be what you're looking for.
To increase attendance for a flower show, the organizers have chosen flower shops in the area to offer discount coupons to their customers. Half of the stores receive discount coupons for admission, while the other half of the stores receive two-for-one admission coupons. The organizers then compare the number of each type of coupon redeemed at the show.
What are the explanatory and response variables in this scenario?
The explanatory variable is the number of coupons redeemed. The response variable is the type of coupon.
The explanatory variable is each chosen flower shop. The response variable is the number of coupons redeemed.
The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.
The explanatory variable is the attendance at the flower show. The response variable is the number of attendees who used coupons.
Answer:
Because the weather was generally better this year compared to last year, the attendance may have increased.
Step-by-step explanation:
took test
Answer:
C.) The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.
Step-by-step explanation:
edge 2020
Solve two fifths minus one seventh equals blank.
solve this and you will get 25 points
Answer:
9/35
Step-by-step explanation:
Is that a perfect square
Answer:
im gonna go with yes
Step-by-step explanation:
Answer:
is what a perfect square?
Step-by-step explanation:
there is no pic attached
Hilah's soccer team is trying to raise $2414 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $34 for the breakfast. How many people need to attend their breakfast in order to raise $2414?
Answer:
Therefore we understand that exactly 71 people will have to attend breakfast in order to raise 2414 dollars.
Step-by-step explanation
We understand that we have to calculate the amount of people paying for breakfast so if 71 people each pay $34 we would get 2414
= 2414 ÷ 34 (This would give us 71 we get this straight away when we read the problem)
We can also fact check this by doing
= 34 x 71 (This gives us 2414)
Can 14,18 and 19 form a triangle?
Answer:
Yes
Step-by-step explanation:
Using the triangle formula: a+b>c , b+c>a , and c+a>b, we can conclude that these values can form a triangle because 14+18>19 , 14+19>18 , and 18+19>14.
Answer:
To confirm if this can form it, we take the lower of the two numbers , square them, and equal it to the biggest number squared. (AKA The Pythagorean Theorem).
Step-by-step explanation:
[tex]14^{2} +18^{2} = 19^{2}[/tex]
Now solve to see if it equates to be true.
196 + 324 = 361
520 [tex]\neq[/tex] 361
That means 14, 18, and 19 can't form a triangle.
help me please in this problem
Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x). Question 1 options:A. (f – g)(x) = –x2 –2x + 2 B.(f – g)(x) = x2+ 2x – 4 C. (f – g)(x) = –x2+ 4x – 6 D. (f – g)(x) = x2+ 4x + 6
Answer:
A
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\=(x-2)-(x^2+3x-4)\\=x-2-x^2-3x+4\\=-x^2-4x+2\\[/tex]
Therefore, answer is A.
Answer:
Step-by-step explanation:
Algebra II: Part 2 James Madison
Your quiz has been submitted successfully. 100%
Question 1 5 / 5 points
Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x).
A: (f – g)(x) = –x2 –2x + 2
Question 2 5 / 5 points
Given that f(x) = x + 4 and g(x) = x + 7, find (g – f)(x).
A: (g – f)(x) = 3
Question 3 5 / 5 points
Let f(x) = 4x – 1 and g(x) = 2x. Find (f ∘ g)(–5).
A: (f ∘ g)( – 5) = –41
Question 4 5 / 5 points
Which of the following is the inverse relation of the set below?
A: {(3,–2), (–4,7), (7,3), (4,8)}
Question 5 5 / 5 points
What is the inverse of f(x) = 2x2 –4?
A: y = ±x+24−−−√
Question 6 5 / 5 points
Which of the following function pairs are inverses?
A: f(x) = 2x – 3 and g(x) =x+32
Question 7 5 / 5 points
Which of the following is true?
A: The horizontal line test is used to determine if a function's inverse will be a function.
Question 8 5 / 5 points
Evaluate81−−√4
A: 3
Question 9 5 / 5 points
Evaluate 1251⁄3.
A: 5
Question 10 5 / 5 points
Use the properties of exponents to simplify the expression 2(x13)65⋅y23.
A: 2x25⋅y23
Question 11 5 / 5 points
A population culture begins with 15 strands of bacteria and then doubles every 4 hours. This can be modeled as 15(2)t4, where t is time in hours. How many strands of bacteria are present at 12 hours?
A: 120 strands of bacteria
Question 12 5 / 5 points
Simplify 36√3√.
A: 23–√
Question 13 5 / 5 points
Simplify 73–√+12−−√−75−−√.
A: 43–√
Question 14 5 / 5 points
Simplify 2–√×22–√.
A: 4
Question 15 5 / 5 points
Simplify 83−−√.
A: 26√3
Question 16 5 / 5 points
Select the equation of the function shown in the graph.
A: f(x)=2x−−√4−5
Question 17 5 / 5 points
Identify the graph of f(x)=x−2−−−−√3−3.
t would not allow me to add the graft. But it is the answer with the line that goes all the way across the graft starting at -10 thru -4.5 and up to 10. The line looks like an "S"
Question 18 5 / 5 points
Identify the graph of f(x)=6x−−√4−1.
It would not allow me to add the graft. But it is -1 up to the right to about 9.5. Document uploaded
Question 19 5 / 5 points
Select the equation of the function shown in the graph.
A: f(x)=x−1−−−−√5+5
Question 20 5 / 5 points
Solve the inequality x+2−−−−√4>2.
A: x>14
Question 21 5 / 5 points
Solve the inequality −2x−−−−√−1<3.
A: −8<x≤0
Question 22 5 / 5 points
Solve the equation 2x−1−−−−−√=5.
A: x = 13
Question 23 5 / 5 points
Solve the equation x+1−−−−√+5=3.
A: There is no solution.
Question 24 5 / 5 points
Given thatf(x)=4x3x+3−−−−−√ and g(x)=2x+1−−−−√, find (fg)(x).
A: 2x3–√