Answer:
The answer is y² - 23y + 120.
Step-by-step explanation:
The steps to do :
g(x) = x² - 7x
g(y - 8) = (y - 8)² - 7(y - 8)
g(y - 8) = y² - 16x + 64 - 7y + 56
g(y - 8) = y² - 23y + 120
g(y-8) is equal to the quadratic expression y² - 23y + 120.
To find g(y-8), we need to substitute y-8 into the function g(x) = x² - 7x in place of x.
Replacing x with y-8, the function becomes:
g(y-8) = (y-8)² - 7(y-8)
To simplify, we expand and simplify the expression:
(y-8)² = (y-8)(y-8) = y² - 16y + 64
-7(y-8) = -7y + 56
Combining the terms, we have:
g(y-8) = y² - 16y + 64 - 7y + 56
Simplifying further:
g(y-8) = y² - 23y + 120
Therefore, g(y-8) is equal to the quadratic expression y² - 23y + 120.
By substituting y-8 into the function g(x), we obtained a new function g(y-8) in terms of y. This allows us to evaluate g(y-8) for any value of y and determine the corresponding output.
To learn more about the quadratic function;
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please help me whit these
Your answer should be A
sorry if it isnt right
mark brainliest-?
HELLLPPP PLSSSSS(don’t answer if you aren’t serious this is important)
9514 1404 393
Answer:
∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠VStep-by-step explanation:
The following angles are equivalent:
Q = U = 45°
R = T = W = 225°
S = V = 90°
X = 135°
Reflection, any rigid transformation, or any uniform dilation will not change the measures of the angles. That is, U = U', for example.
So, the true angle statements are ...
∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠VWhich proportion would you use to solve this problem?
Nine Is 4% of what number?
40
100
х
O
X
9 100
o
х
100
4
100
Answer:
its c
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
hope this helps!
Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?
Answer: A≈47791.31
Step-by-step explanation:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
25000
r
=
0.036
t
=
18
n
=
365
P=25000r=0.036t=18n=365
Given values
A
=
25000
(
1
+
0.036
365
)
365
(
18
)
A=25000(1+
365
0.036
)
365(18)
Plug in values
A
=
25000
(
1.0000986301
)
6570
A=25000(1.0000986301)
6570
Simplify
A
=
47791.3122461
A=47791.3122461
Use calculator
A
≈
47791.31
A≈47791.31
The amount after 18 years will be $47,791
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily.
A = P(1+r/365)^n*365
A = 25000(1+0.00009863)^6570
A = 25000(1.00009863)^6570
A = 47,791
Hence, The amount after 18 years will be $47,791
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please help ill give 20 points!!!
Answer:
H
Step-by-step explanation:
As you can see the more shirt's that were bought the lower the price becomes per shirt.
Please help 30 points
A recursive definition of an arithmetic sequence is shown below.
a = 7
an = an-1 + 3
Which of the following expressions represents the nth term of this sequence?
A. Ont3
B.
3n + 4
C.O3n +7
D.O7n +3
Help pls!! What is the perimeter of triangle FBD?
Answer:
46
Step-by-step explanation:
AC = 2FD
CE = 2BF
AE = 2BD
2FD + 2BF + 2BD = 2(FD + BF + BD) = AC + CE + AE
2[tex]P_{FBD}[/tex] = [tex]P_{ACE}[/tex] ⇒ [tex]P_{FBD}[/tex] = [tex]\frac{1}{2}[/tex] [tex]P_{ACE}[/tex]
[tex]P_{FBD}[/tex] = 92 ÷ 2 = 46 units
What is 11.242/22 eqaul?
I need ASAP
Answer:
11.242÷22=0.511
Plzzzzz give me Brainliest!!!!!
please help! algebra 2
PLEASE HELP LIKE QUICK PLEASE PLEASE ( you'll get 50 points!!! )
A company has two manufacturing plants with daily production levels of 5x+14 items and 3x−5 items, respectively. The first plant produces how many more items daily than the second plant?
Answer:
[A]first manufacturing plant produce =5x+14 items
se
[B]second manufacturing plant produce=3x-5
now
difference=A-B=5x+14-{3x-5}=5x+14-3x+5=2x+19
The first plant produces 2x+19 more items daily than the second plant.
Write the equation of the line that passes through the points (-9,-6) and (−8,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
plz help ill give brainliest if correct
Answer: The slope is 7
m =7
y + 6 = 7 ⋅ ( x + 9 )
Step-by-step explanation:
Which expression is equal to (x – 3)(2x^2 – x + 3)?
O 2x3 + 5x2 + 6x - 9
o 2x3 – 7x2 – 9
o 2x3 – 7x2 + 6x – 9
o 2x3 + 5x2 - 9
Answer:
C. 2x^3 - 7x^2 + 6x - 9
Step-by-step explanation:
Hope this helps!
Answer:
c
Step-by-step explanation:
A triangle has a base of two to the third power units and a height of chicken fourth power units what is the area of the triangle
This shape is a kite.
Calculate the value of a.
I will give the brainliest to the correct answer!
Answer:
a = 72
Step-by-step explanation:
the sum of a four-sided polygon's angles equal 360°
so you can add all four angles together and set them equal to 360
a + a + a + 2a = 360
5a + 360
a = 360/5
a = 72
There are four angles in a kite.
The value of a to make the shape a kite is [tex]72^o[/tex].
The sum of angles in a kite is [tex]360^o[/tex]
So, we have:
[tex]a + a + a + 2a = 360^o[/tex]
Add like terms
[tex]5a = 360^o[/tex]
Divide both sides by 5
[tex]a = 72^o[/tex]
Hence, the value of a is [tex]72^o[/tex]
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Help me please. Will give brainliest
Answer:
The answer is B. they're using the slope equation to figure out the slope. none of the other equations are set up correctly, so B is the correct answer.
Step-by-step explanation:
i hope this helps :))
The perimeter of a rectangle is 160 feet. If the length of the rectangle is 28 feet more than the width, what are the dimensions of the rectangle?
Answer:
width = 26 ft
length = 54 ft
Step-by-step explanation:
perimeter = 160 ft
width = x
length = x + 28
Perimeter = 2(width) + 2(length)
[tex]2x + 2(x + 28) = 160 \\ 2x + 2x + 56 = 16 0\\ 4x = 160 - 56 \\ x = \frac{104}{4} \\ x = 26[/tex]
width = x = 26
length = x + 28 = 26 + 28 = 54
Thomas is drawing a map of his city's walking trails. On the map, 5 cm is equal to 2 miles. If a trail is 22.5 cm on the map, how long is the trail in real-life?
Answer:
9 miles
Step-by-step explanation:
Given that :
Given that:
On map:
5cm = 2 miles
If a map trail = 22.5cm
Length of trail in real life :
(22.5 cm / 5cm) * 2miles
4.5 * 2 miles = 9 miles
The trail is 9 miles in real life
the total cost of a bike cycle and radio is rupees 7000. if the cost of the bike cycle is rupees thousand a more than two times of the cost of the radio find the cost of each of these two items
Answer :
Radio = 2000
Bike = 5000
Hope this helps u
Your friend claims that a triangle with side lengths of a, b, and c will have half the area of a triangle with side lengths of 2a, 2b, and 2c. Is your friend correct?
Answer:
My friend is wrong since, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c
Step-by-step explanation:
Using herons formula, the area of the first triangle with sides a, b, c is A = √[s(s -a)(s - b)(s -c)] where s = (a + b + c)/2.
So, A = √[(a + b + c)/2((a + b + c)/2 - a)((a + b + c)/2 - b)((a + b + c)/2 - c)]
= √[(a + b + c)/2((b + c - a)/2)((a - b + c)/2)((a + b - c)/2)]
= 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].
For the triangle with sides 2a, 2b, 2c, the area is A' = √[s'(s' - 2a)(s' - 2b)(s' -c)] where s' = (2a + 2b + 2c)/2 = a + b + c.
So, A' = √[(a + b + c)((a + b + c) - 2a)((a + b + c) - 2b)((a + b + c) - 2c)]
= √[(a + b + c)((b + c - a)(a - b + c)(a + b - c)]
= √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].
Since A = 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)]. and A' = √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)] ⇒ A = A'/4
So, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c. So, my friend is wrong.
14. Which of the following pairs of equation are equivalent
2x+8=18 and x=18-12
2x+(-6)=14 and 2x=14+6
21x=38 and 3x=36
6x=182 and x = 182/3
Answer:
the second equatin
2x+(-6)=14 that give x=10 and the other 2x=14+6 gives x= 10 so this pair is equal
Your family is looking for a new car! They want to purchase the car that has the best miles/gallon in the city. Below are the advertisements for 4 pre-owned 2013-2014 cars. Please help me someone
Answer:
Although no list of cars was given, you find the top five that I can recommend
Step-by-step explanation:
Kindly note that no sufficient data/information was provided, however, as a way forward to answer this question you can look up the list of five cars with great miles per gallons
1. Honda Civic
Engine Type: Gas, Hybrid
MPG: Up to 35 MPG mixed city/highway for gasoline, 40-50% higher in
hybrid engine
Body Styles: Coupe, Sedan, Hatchback
2. Hyundai Elantra
Engine Type: Gas, Hybrid
MPG: Up to 36 MPG mixed city/highway
Body Styles: Sedan
3. Nissan Altima
Engine Type: Gas
MPG: Up to 34 MPG mixed city/highway
Body Styles: Sedan
4. Toyota Corolla
Engine Type: Gas
MPG: Up to 34 MPG mixed city/highway
Body Styles: Sedan
5. Honda Accord
Engine Type: Gas, Hybrid
MPG: Up to 31 MPG mixed city/highway for gasoline, up to 48 MPG for
hybrid
Body Styles: Sedan, Coupe
How do you do this?
Answer:
132 degrees
Step-by-step explanation:
its asking for angle r, right? the degrees they give you is across from the needed angle. in class alone that would give you the answer, but since a line is 180 degrees, 180 minus 132 is 48 degrees, 48 plus a unknown angle(r) is 180. hence 132
2x^5-4x^3+6x^8
is this a trinomial with a coefficient of 2 or 6?
Answer:
6
Step-by-step explanation:
Coefficient: A number before the variable such as 4 in 4x.
When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:
2x^5 and 6x^8
^8 is bigger than ^5, so that's the leading coefficient.
(SOMEONE HELP ASAPP )In triangle QRS below, 2Q = 53.13º and ZR = 36.87°
Which of the following are true?
Can you please show the triangle?
Gio wants to serve salad at the party. He will need one head of lettuce for every 6 guests who attend. Write an algebraic expression Gio could use to determine how much lettuce he needs. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests
Answer:
a. y = x/6 b. 3 heads of lettuce
Step-by-step explanation:
a. Write an algebraic expression Gio could use to determine how much lettuce he needs
Since Gio needs one head of lettuce for every 6 guests who attend, then, the number of lettuce y needed for x guests is one head of lettuce/6 guests × x guests is y = 1/6 × x
= x/6
b. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests
Since 18 guest come to the party, x = 6. So, y = x/6
= 18/6
= 3 heads of lettuce.
sum of two rational numbers is - 8 is 3 by 4 find others
Answer:
Step-by-step explanation:
ans is -35/4.
Part A: What is the ratio of the number of students receiving a C and the number of students receiving an A? * 1:4 6:1 4:1 3:1 Part B: Complete the statement: For every student receiving a D, ______ students received a B. * Part C: What is the ratio of the number of students receiving a C and the number of students receiving an D? 1:4 6:1 4:1 3:1
Answer:
a. 4 : 1
b. 2 students
c. 3 : 1
Step-by-step explanation:
a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:
12 : 3
Take it to the lowest form by dividing both sides by 3:
= 4 : 1
b. There were 4 students with a D grade and 8 with a B. The ratio is:
= 4 : 8
Taken to the lowest form that would be:
= 1 : 2
This means that for every student receiving a D, 2 students received an A.
c. 12 students received a C and 4 students received a D. That ratio is therefore:
= 12 : 4
Take to the lowest form by dividing both sides by 4:
= 3 : 1
Help with this plz bc I don’t want to get I trouble by my teacher
Answer:
c
Step-by-step explanation:
Answer:
The answer is C. She saves $150 every month
Step-by-step explanation:
Help plzzzzzzzzzzzzzz
Solve the system of liner equations using substitution
{y=-x+3
3y+5x=-1
Answer:
[tex]y = - x + 3 \\ 3y + 5x = - 1[/tex]
Step-by-step explanation:
[tex]3( - x + 3) + 5x = - 1 \\ - 3x + 9 + 5x = - 1 \\ 2x = - 10 \\ x = - 5 \\ y = - x + 3 \\ y = 5 + 3 = 8 \\ y = 8[/tex]