Answer:
3x² + 8x + 1
Step-by-step explanation:
Given
4(x² - 1) - (x² - 8x - 5) ← distribute both parenthesis
= 4x² - 4 - x² + 8x + 5 ← collect like terms
= 3x² + 8x + 1
If f(1) = 2 and f(n) = f(n − 1)2 + 3 then find the value of f(3).
Answer:
52
Step-by-step explanation:
f(n) is purely based on the previous value of f(n), or f(n-1), so we can start with f(1) and work our way up. We know f(1) = 2, so to find f(2), we plug f(1) into
f(n-1)²+3 to get
f(1)²+3 = 2²+3 = 4+3=7
Thus, f(2) =7. Similarly,
f(3) = f(3-1)²+3 = f(2)² + 3 -= 7² + 3= 52
One number is 4 less than 3 times a second number. If 3 more than two times the first
number is decreased by 2 times the second number, the result is 11. Use the substitution
method. What is the first number?
Answer:
The first number (x) = 8
Step-by-step explanation:
Let x = the first number
Let y = the second number
x = 3*y - 4
2x + 3 - 2y = 11 Subtract 3 from both sides
2x - 2y = 11 - 3
2x - 2y = 8 Divide by 2
x - y = 4 Add y to both sides
x = y + 4 Now go back to the very first equation. Substitute for x
y + 4 = 3y - 4 Subtract y from both sides
4 = 3y - y - 4
4 = 2y - 4 Add 4 to both sides
4 + 4 = 2y
8 = 2y Divide by 2
8/2 = y
y = 4
x = 3y - 4
x = 3*4 - 4
x = 12 - 4
x = 8
[tex](2x + 3)(2 {x}^{2} - x - 2)[/tex]
simplify this question
Find √10 yo the nearest hundredth
Answer:
√10 = 3.16
Step-by-step explanation:
using calculator
√10 = 3.162277660168379
Hundredths is the second decimal place.
Since the next decimal place is less than 5
there is no need to round up
√10 = 3.16
y <= - 1/3 * x + 2; y > 2x - 3 linear inequalities
Step-by-step explanation:
Given
Inequalities are [tex]y\leq -\dfrac{1}{3}x+2[/tex] and [tex]y>2x-3[/tex]
Take the inequality as two equations to get the intersection point
[tex]y=-\dfrac{1}{3}x+2\ and\ y=2x-3[/tex]
Equate the value of y
[tex]\Rightarrow -\dfrac{1}{3}x+2=2x-3\\\Rightarrow 5=\dfrac{7x}{3}\\\\\Rightarrow x=\dfrac{15}{7}[/tex]
[tex]\therefore y=1.286[/tex]
The common region gives the required regions for inequalities.
Please answer quickly this is due today and I just can’t figure it all out!!
In Andrews furniture shop he build bookshelves and tables each type of furniture takes him about the same time to make he figures he has time to make at most 25 pieces of furniture this by the Saturday the material for each book shelf cost him $20 in a materials for each table cost and $45 he has $675 to spend on materials Andrew makes a profit of $60 on each bookshelf and a profit of $100 for each table how many of each piece of furniture should Andrew make to maximize his profit 1. write a system of inequalities that represents Andrews constraints explain what each of the inequalities represents you should have four inequalities
Answer:
A. You may set the variables in either order. But for argument sake, let's set as follows:
x = Amount of bookshelves
y = Amount of tables
B. Because of the amount of things you need to make, the following is an inequality using those variables.
x + y > 25
Plus you can determine a second inequality based on the amount of money that you have to spend.
20x + 45y < 675
Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.
C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.
Step-by-step explanation: Good luck and hope this helps :)
54:33
13
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 15 cups from
9
5
the first orange, 5 cups from the second orange, 20 cups from the third orange, 71 cups from the fourth orange, and
7
15 cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much
more orange juice does he need to reach his estimate?
O
2 cups
0 1 cups
o is cups
25
cups
K
Answer:C
Step-by-step explanation:because
What is the next term in the sequence below?
0.25, 0.75, 2.25, 6.75, …
A. 6.25
B. 10.25
C. 20.25
D. 60.75
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:20.25}}}}}}[/tex]
[tex]0.25, 0.75, 2.25, 6.75,20.25,..[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]0.25, 0.75, 2.25, 6.75,20.25 \\ \\ ➺ \: 0.25 \times 3 = 0.75 \\ \\ ➺ \: 0.75 \times 3 = 2.25 \\ \\ ➺ \: 2.25 \times 3 = 6.75 \\ \\ ➺ \: 6.75 \times 3 = 20.25[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
2. Si x representa la edad de Ana, ¿cómo se
escribe en simbolos "la mitad de la edad de
Ana"?
Please help ASAP thank you
two circles intersect each other in A and C. O the centre of the smaller circle, lies on circumference of the bigger circle D is a point on smaller circle and DC produce intersects the bigger circle in B. BO produce intersects AD inM. AO, OC andAB are drawn 1 IF IT IS FURTHER GIVEN THAT ACO.=D, PROVE THAT AD IS A TANGENT TO CIRCLE ABO
Answer:
ss
Step-by-step explanation:
s
What is the ratio of the side length of the side opposite any 30 degree angle and the length of the hypothesis ?
Answer:
1 : 2
Step-by-step explanation:
the ratio is 1 : 2
_____
Hey guys I need help real quick it’s question number 6 pls :)
Select all the expressions that
are equivalent to 23. (22)
Answer: 2 to the 8th power
Step-by-step explanation:
i need help asap
i need to know how to show work pls help
Step-by-step explanation:
add all the freqency up which is 100
you have to use a customize spinner and put in all the colors that are all on the side...
Spin 150 times ( 250-100= 150) and put tally marks on the sheet of tallys.
Then count all you red and see.
Hope all that makes sense..
seratus di tambah dua puluh berapa?
Answer:
120Step-by-step explanation:
▶️ Penyelesaian:
100
20 +
120 ✅
Answer:
what?
Step-by-step explanation:
The average of 7 numbers is 45.If the last two numbers are 27 and 43 what is the average of the first five
Answer:
49
Step-by-step explanation:
The average is calculated as
average = [tex]\frac{sum}{count}[/tex] Given the average of 7 numbers is 45 , then
[tex]\frac{sum}{7}[/tex] = 45 ( multiply both sides by 7 )
sum of 7 numbers = 315
Subtract 27, 43 from the sum to obtain the sum of first 5 numbers
315 - (27 + 43) = 315 - 70 = 245 , then
average of first 5 numbers = [tex]\frac{245}{5}[/tex] = 49
Assignment - 3. Deductive Reasoning
State a true conclusion.
1) If two planes intersect, their intersection is a line.
2) Plane Rand plane S intersect.
Conclusion:
WRITER
Answer:
the answer is the intersection is a line
If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will attend an assembly for third graders if a total of 4 students are absent?
students
Answer:
The answer is 74
Step-by-step explanation:
First you need to find the number of student in total so just multiply 26 by 3 which is 78.
Then after since there are 4 students absent subtract 4 from 78 which is 74.
Solve for x. Leave your answer in simplest radical form.
There are two Right angled triangles in the given figure, with two missing sides, let's name the other missing side be " y "
According to Pythagoras theorem,
[tex] \boxed{ \large \boxed{h {}^{2} = {b}^{2} + p{}^{2} }}[/tex]
note :
p = perpendicular / opposite sideb = base / adjacent sideh = hypotenuselet's solve for " y² " first ( square of other missing side )
[tex]➢ \: \: {y}^{2} = {8}^{2} + 3 {}^{2} [/tex]
[tex]➢ \: \: {y}^{2} = 64 + 9[/tex]
[tex]➢ \: \: {y}^{2} = 73[/tex]
now let's solve for " x " , by using pythagorous theorem
[tex]➢ \: \: {x}^{2} = {y}^{2} + {6}^{2} [/tex]
[tex]➢ \: \: {x}^{2} = 73 + 36[/tex]
[tex]➢ \: \:x {}^{2} = 109[/tex]
[tex]➢ \: \: x = \sqrt{109} [/tex]
Approximate :
[tex]➢ \: \: 10.44 \: \: units[/tex]
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
its the last one:) please help. giving brainlist
Answer:
[tex]5[/tex]
Step-by-step explanation:
Segments are named by their endpoints. Therefore, segment PQ will have endpoints P and Q. The length of the segment is equal to the distance between these points.
To find the distance between P and Q given their coordinates, use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let:
[tex]P(-2, 7)\implies (x_1, y_1),\\Q(1, 3)\implies (x_2, y_2)[/tex]
The distance between these points is equal to:
[tex]d=\sqrt{(1-(-2))^2+(3-7)^2},\\d=\sqrt{3^2+(-4)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=\boxed{5}[/tex]
Answer:
[tex]5[/tex]
Step-by-step explanation:
This problem gives one the following points on a line: ([tex]P(-2,7)[/tex]), and ([tex]Q(1,3)[/tex]). The problem asks one to find the distance between the two points. The formula to find the distance between two points on a coordinate point is the following,
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the given values in and solve for the distance;
[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}[/tex]
Simplify,
[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}\\\\D=\sqrt{(-3)^2+(4)^2}\\\\D=\sqrt{9+16}\\\\D=\sqrt{25}\\\\D = 5[/tex]
Please help 7th grade math
Answer:
x=20, g=100, f=80
Step-by-step explanation:
when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be
3x+40+5x-20=180
8x+20=180
8x=160
x=20
Finding g
3(20)+40
60+40
g=100
FInding f
5(20)-20
100-20
f=80
PLZZZ HELP
Find the average rate of change of h(x) = 2x² – 7x from x=2 to x=5.
Simplify your answer as much as possible.
Answer:
The average rate of change of h(x) in the given interval is 7.
Step-by-step explanation:
When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Here we have:
h(x) = 2*x^2 - 7*x
And we want to find the average rate of change between x = 2 and x = 5
This will be:
[tex]r = \frac{h(5) - h(2)}{5 - 2} = \frac{(2*5^2 - 7*5) - ( 2*2^2 - 7*2)}{3} = \frac{15 - (-6)}{3} = \frac{21}{3} = 7[/tex]
The average rate of change of h(x) in the given interval is 7.
Convert 14 into base 2
Answer: 0b1110
Step-by-step explanation:
Find the first six terms of the sequence.
a1 = -5, an = an-1 + 8
Answer:
- 5, 3, 11, 19, 27, 35
Step-by-step explanation:
Using the recursive rule and a₁ = - 5
a₂ = a₁ + 8 = - 5 + 8 = 3
a₃ = a₂ + 8 = 3 + 8 = 11
a₄ = a₃ + 8 = 11 + 8 = 19
a₅ = a₄ + 8 = 19 + 8 = 27
a₆ = a₅ + 8 = 27 + 8 = 35
The first six terms are - 5, 3, 11, 19, 27, 35
How many solutions are there to this nonlinear system?
10
A. No solutions
5
O B. Two solutions
C. One solution
Answer:
two
Step-by-step explanation:
The number of solutions is the number of times the graphs intersect.
The line and the parabola intersect two times, so there are two solutions
Kinda need some help
The number 4 in 8^4 is called
the..
A)Base
B)variable
C)Exponent
D)Term
Answer:
Exponent
Step-by-step explanation:
^ means raised to the power of
The number being raised is known as the exponent
In this case it's the exponent is 4
Amanda works as a hostess at Red Robin on weekday nights and at the Pix movie theatre on the weekends. Amanda’s pay at Red Robin is 11.50ℎ+0.25+10and her pay at the Pix is 10.50ℎ+0.5−20. Find the polynomial that would represent Amanda’s total earnings from her two jobs.
Answer:
22h−9.25
Step-by-step explanation:
Please help me kitty
Answer:
Its either exponential growth or increasing linear. I am positive it is not exponential decay or decreasing linear, but if I had to choose it would be exponential growth.
Answer:
Hi how are you will u friendship with me plz
is x+6 a factor of f(c)=-x^2+6x?
Yes.x+6 is a factor of f(x)=-x^2+6x
Answer:
no
Step-by-step explanation:
f(x) = -x^2 + 6x
The right side has a common factor. It is x.
Factor x out on the right side.
f(x) = x(-x + 6)
When the common factor x is factored out, the remaining factor is -x + 6.
-x + 6 is not equal to x + 6.
Answer: no
Algebra
write down the coefficient of x in 3(x)4x
A 12
B 3
C 0
by Emmanuel okorie
Answer:
nah its a.
Step-by-step explanation:
bakit?(#boyinthebrainly)