Answer:
Given
f(x)= 4x²+2x-4To find f(x + 2) substitute x with x + 2 in the given function:
f(x+2)= 4(x + 2)² + 2(x + 2) - 4
= 4(x² + 4x + 4) + 2x + 4 - 4
= 4x² + 16x + 16 + 2x
= 4x² + 18x + 16
f(x+2)
4(x+2)²+2(x+2)-44(x²+4x+4)+2x-4-44x²+16x+16+2x4x²+18x+16Which table shows a proportional relationship between a and b?
A.
a b
3 9
4 12
5 20
B.
a b
20 25
24 30
32 40
C.
a b
4 12
5 15
6 24
D.
a b
3 4
6 9
12 16
Answer:
A
Step-by-step explanation:
3 goes into 9
4 goes into 12
And 5 goes into 20
Jay has a car worth $36,001. It is depreciating at a rate of 16% per year. How much will
it be worth in 3 years?
Answer:
$18,720.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Depreciation Formula: A = P(1 - rt)
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 36001
r = 16% = 0.16
t = 3
Step 2: Find Cost
Substitute in variables [Depreciation Formula]: A = 36001(1 - 0.16 · 3)(Parenthesis) Multiply: A = 36001(1 - 0.48)(Parenthesis) Subtract: A = 36001(0.52)Multiply: A = 18720.5Who wants to help me
Answer:
Step-by-step explanation:
In Ethiopia there are 20 premier league soccer teams.
a) In one round how many games are there ?
b) If five of the teams represent one company, find the number of ways pairs of teams representing different companies can play a game.
Answer:
In A Premier League there are 20 soccer teams.
(a)In One Round How Many Games Are There?
20 choose 2 = 20C2 = 190
(b) If five of the teams represent one company, find the
number of ways pairs of teams representing different companies
can play the game.
So there are 4 companies, each having 5 teams.
4 companies choose 2 = 4C2 = 6 ways
Choose a team of the company that's, say, been in business the
longest.
5 teams choose 1 = 5C1 = 5 ways
Choose a team of the other company,
5 teams choose 1 = 5C1 = 5 ways
Answer 6*5*5 = 150 ways.
9. Select all expressions that are
equivalent to 18a – 12.
2(9a - 6)
6(3a – 2)
-3(6a + 4)
3(6a + 4)
0 (
— 3(4 – 6а)
Answer:
Step-by-step explanation:
2(9a - 6) = 2*9a - 2*6 = 18a - 12
Yes, it is equivalent.
6*(3a-2) = 6*3a - 6*2 = 18a - 12
Yes, it is equivalent.
-3(6a+4)= -3*6a + 4*(-3) = -18a - 12
No, not equivalent
3(6a+4) = 3*6a + 3*4 = 18a + 12
No, not equivalent
-3(4-6a) = -3*4 - 6a*(-3 ) = -12 + 18a = 18a - 12
Yes, it is equivalent.
Answer:
2(9a - 6), 6(3a – 2) and -3(4 – 6а)Step-by-step explanation:
2(9a - 6) = 2 × 9a + 2 × (-6)
= 18a - 12
6(3a - 2) = 6 × 3a + 6 × (-2)
= 18a - 12
- 3( 4 - 6a ) = - 3 × 4 + (-3) × (- 6a)
= - 12 + 18a = 18a - 12
what is the numeriacal value of 3x +2y -5xy when x=2 and y=3?
Answer:
- 30
Step-by-step explanation:
3x + 2y - 5xy
3(2) - 2(3) - 5((2)(3))
6 - 6 - 30
6 - 6 - 30
- 30
Help me please I need help .
Answer:
cos A =1.0
sin B=0.02
tan C=9.1
Work out the perimeter of this shape.
Answer: 72.6 cm
Step-by-step explanation:
Data: the length of the sides we know=13 cm, 16 cm 7.3 cm, 5.7 cm, 6.2 cm
The length of the side in the middle=x
The perimeter of the shape=x
Step one, Find the length of the missing side by adding then subtracting
5.7+6.2=11.9
16-11.9=4.1
x=4.1 cm
Reason: If you want to find the missing side, we know that the entire side down there is 16 cm so we just add 5.7 to 6.2 to get 11.9 and the amount of cm left after subtracting 11.9 from 16 will be the length(l) of the missing side.
Step two, add up all the sides
13+13+16+7.3+7.3+4.1+5.7+6.2=72.6
Reason: To find the perimiter of a shape, you add up all the sides and since we have all of the sides(some sides appear twice) we can just add them all together for the answer.
Also, don't forget the 'cm' in the answer
x=72.6 cm
I hope this helps!
Elena paga por su recibo de teléfono S/. 132,80 y de luz S/. 75,20. Si 3 meses del año pagó igual. ¿Cuánto pagó por este tiempo?
Answer:
Por 3 meses Elena pagó $624.
Step-by-step explanation:
Elena paga por su recibo de teléfono $ 132,80 y de luz $ 75,20. Por lo que, para obtener lo pagado por Elena en ese mes por sus recibos se debe sumar ambos importes:
132,80 + 75,20= 208
Entonces en ese mes Elena pagó $208.Si 3 meses del año pagó el mismo importe, entonces debes multiplicar $208 por 3.
208*3= 624
Entonces, por 3 meses Elena pagó $624.
Jason works 22 hours a week and has a pre-tax paycheck of $660 per week. Last week he had to work 34 hours, how much will his pre-tax paycheck be?
Answer:
$1020
Step-by-step explanation:
660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).
What is the angular velocity of a point that rotates through
radians in 24 second
What’s the answer?
Answer:
Option A
Step-by-step explanation:
Angular velocity of an object is defined by,
Angular velocity (w) = [tex]\frac{\triangle \theta}{\triangle t}[/tex]
Here, Δθ = Change in angle of rotation
Δt = Duration or time
In this question Δθ = [tex]\frac{7\pi }{2}[/tex] radians and Δt = 24 seconds
Therefore, angular velocity = [tex]\frac{\frac{7\pi }{2} }{24}[/tex]
= [tex]\frac{7\pi }{48}[/tex] radians per second
Option A is the answer.
Anyone know the answer to this ??
Answer:
18 i think sorry if i am wrong
Step-by-step explanation:
The system of equations
IX = y-1 ly+4=X+6 has
A no solution
B one solution
C infinitely many solutions
Answer:
no solution
Step-by-step explanation:
y = x+1 and y = x + 2 don't touch because they are parallel
if you don't know what parallel means, just search it up, but i can explain it to you:
parallel means same slope or same steepness of line
Solve these
[tex] {x}^{2} - 5x + 6[/tex]
[tex] {x}^{2} - 11x + 28[/tex]
Answer:
hope this will help you more
Answer:
[tex]x^2-5x+6[/tex]
x = 3, x = 2
[tex]x^2-11x+28[/tex]
x = 7, x = 4
Step-by-step explanation:
One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;
[tex]ax^2+bx+c[/tex]
The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Substitute in each of the terms and solve for the roots in each equation;
[tex]x^2-5x+6[/tex]
Substitute, and solve
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]
[tex]=\frac{5+1}{2}[/tex] [tex]=\frac{5-1}{2}[/tex]
[tex]=3[/tex] [tex]=2[/tex]
[tex]x^2-11x+28[/tex]
Substitute, and solve
[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]
[tex]=\frac{11+\sqrt{9}}{2}[/tex] [tex]=\frac{11-\sqrt{9}}{2}[/tex]
[tex]=\frac{11+3}{2}[/tex] [tex]=\frac{11-3}{2}[/tex]
[tex]=7[/tex] [tex]=4[/tex]
what is the mean of the data set 8, 8, 9, 11, 24
Answer:
12
Step-by-step explanation:
8+8+9+11+24=60
60/5=12
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{Well, you know that mean means average. You have to find the}\\\large\text{sum of all of the number in the data set and divide the sum by}\\\large\text{by the total numbers in the data.}[/tex]
[tex]\mathsf{\dfrac{8+8+9+11+24}{5}}[/tex]
[tex]\mathsf{8 + 8 + 9 + 11 + 24}\\\mathsf{8 + 8 = \boxed{\bf 16}}\\\mathsf{= 16 + 9 + 11 + 24}\\\mathsf{16 + 9 = \boxed{\bf 25}}\\\mathsf{= 25+11+24}\\\mathsf{25+11=\boxed{\bf 36}}\\\mathsf{36+ 24}\\\boxed{= \mathsf{\bf 60}}[/tex]
[tex]\mathsf{\dfrac{60}{5}}\\\\\\\mathsf{= \dfrac{60\div5}{5\div5}}\\\\\\\mathsf{= 60\div5\rightarrow\boxed{\bf 12}}\\\\\\\mathsf{= 5\div5\rightarrow\boxed{\bf 1}}\\\\\mathsf{\rightarrow \dfrac{12}{1}= \boxed{\bf 12}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge Your \bf {MEAN is 12}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour? L
Answer:
That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3
What is the image point of (0, 8) after a translation right units and down 5 units?
Answer:
(5,3)
Step-by-step explanation:
1. Translation 5 units right, so the x-coordinates goes to 5.
2. Translation 5 units under, so the y-coordinates goes to 3.
So . the answer is (5, 3)
Angelica and Diego collect Pokémon cards. Angelica has
four more cards than Diego does. Together, they have 18 in total. How many cards does Angelica have?
Answer:
40Step-by-step explanation:
because 18 + 18 =36 +4=40plese follow meIn a class of 40 students, a teacher surveyed everyone to see how many had a pet dog (D), a pet cat (C), or a pet bird (B). 28 students have a cat. Of those 28, 10 of them also have a bird. 19 students have a dog. Of those 19, 6 of them also have a cat and 2 of them also have a bird. Out of the 40 students, 2 of them have all three pets.
Draw a Venn Diagram to help you answer the questions.
Find P(B). Write your answer as a percent to the nearest tenth. Do NOT include the percent sign!
Answer:
This cant be an accurate question, i drew the diagram and before i got to the people who only have birds i already had over 40 people total
Step-by-step explanation:
ΔCAP ∼ ΔHIT. Solve for y, given that b = 19. (Round your answer to 1 decimal place, if necessary.)
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;
[tex]\triangle CAP \sim \triangle HIT[/tex] implies that the following sides are similar:
[tex]CA \to HI[/tex]
[tex]AP \to IT[/tex]
[tex]PC \to TH[/tex]
Take for instance:
[tex]CA = y[/tex] [tex]HI = b[/tex]
[tex]AP = 20[/tex] [tex]IT = 38[/tex]
Then the solution is:
[tex]CA : HI = AP : IT[/tex]
Substitute values for CA, HI, AP and IT
[tex]y : b= 20 : 38[/tex]
Express as fraction
[tex]\frac{y }{ b}= \frac{20 }{ 38}[/tex]
Multiply both sides by b
[tex]y= \frac{20 }{ 38}*b[/tex]
Substitute 19 for b
[tex]y= \frac{20 }{ 38}*19[/tex]
[tex]y= \frac{20 }{ 2}[/tex]
[tex]y=10[/tex]
Does anyone know the answer to this question ?
Answer:
12/25 = 48/100 = .48 = 48%
Step-by-step explanation:
help asap ---------------------------
Answer:
"D"
the start point is below zero and is doing deeper
Step-by-step explanation:
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
A. 2
B. 3
C. 4
D. 5
Answer:
3
Step-by-step explanation:
Tori is cutting fabric squares to make a quilt. Her squares on average are 5 in. on each side with a standard deviation of 0.1 in. If her cuts are normally distributed, what percentage of her squares would be between 4.9 and 5.1 in?
Answer:
[tex]\approx 68\%[/tex]
Step-by-step explanation:
For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence [tex]\implies \boxed{68\%}[/tex].
*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.
Answer:
68.26%Step-by-step explanation:
Given:
Mean μ = 5 inStandard deviation σ = 0.1 inThe squares between 4.9 and 5.1 represent:
x = 5 ± 0.1Relevant z- scores are:
z = (x - μ)/σz = (5.1 - 5)/0.1 = 1z = (4.9 - 5)/0.1 = -1From the z-score table we get:
z = 1 ⇒ 84.13% markz = -1 ⇒ 15.87% markThe data between these points is:
84.13% - 15.87% = 68.26%Suppose 1757 grams of sugar is 31.69% of 5544 grams of jam. How much jam would there be if there were 2500 grams of sugar?
7889 grams of jam
Step-by-step explanation:
In 5544 grams of jam, 1757 grams of sugar ==> 31.69%
let x be the grams of jam
2500 grams of sugar ==> 31.69%
x grams of jam ==> 100%
[tex]x \times 31.69\% = 2500 \\ x = 2500 \div 31.69\% \\ x = 7888.92 \: grams \\ x = 7889 \: grams \: (nearest \: whole \: number)[/tex]
What is the value of m?
Om=2
Om=3
Om=15
O m=16
Answer:
m = 3
Step-by-step explanation:
5m + 1 = 3m + 7
2m = 6
m = 3
The value of m in the figure is 3
From the question, line segments GH and HK are congruent.
So, we have:
GH = HK
Substitute known values
5m + 1 = 3m + 7
Collect like terms
5m - 3m = -1 + 7
Evaluate the like terms
2m = 6
Divide both sides by 2
m = 3
Hence, the value of m in the figure is 3
Read more about quadrilaterals at:
https://brainly.com/question/5715879
Solve for x.
3x +13
6x + 5
x = [?]
Answer:
nessa resposta da 10 beijos
Answer:
x = 18
Step-by-step explanation:
The given angles are same- side exterior angles and sum to 180°, that is
6x + 5 + 3x + 13 = 180
9x + 18 = 180 ( subtract 18 from both sides )
9x = 162 ( divide both sides by 9 )
x = 18
What is the area? Bit confused on this one.
Answer:
x² + 8x + 12
Step-by-step explanation:
see
the length of the entire rectangle = x + 6
breadth of the entire rectangle = x + 2
area of a rectangle = length × breadth
= (x + 6)(x + 2)
= x² + 8x + 12
which is the required polynomial in standard form
Answer:
x^2 + 8x + 12
Step-by-step explanation:
length = x+6
breadth = x+2
ara of rectangle = l*b
=(x+6)(x+2)
=x(x+2) +6(x+2)
=x^2 + 2x + 6x +12
=x^2 + 8x +12
The mean score was 72. The standard deviation was 7 percentage-points. Based on this information, what is the best
approximation for the number of students who scored 79 or better?
Answer:
the number of student that took the test is missing
I think it is 100?
79 is 1 sigms (1 standard deviation) above the mean....
1 sd is 84% ... 16% are above the 79
multiply the students that took the test by .16
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 159. i just took the test and got it right
This graph represents a quadratic function. Which expression is a factor of the function's equation?
A 0
B x-4
с. x
D X + 4
