2. f (x)=3(x-4)²-16 f (x)=3(x²-__+__)-16 f (x)=(3x²-__+__)-16 f (x)=3x²-__+__
1. 2. f (x)=3(x-4)²-16 f (x)=3(x²-__+__)-16 f (x)=(3x²-__+__)-16 f (x)=3x²-__+__
Answer:
f(x) = 3(x - 4)² - 16f(x) = 3(x² - 8x + 16) - 16f(x) = (3x² - 24x + 48) - 16f(x) = 3x² - 24x + 32#CarryOnLearning
2. if 2^x+2^-x=3, find 16^x+16^-xplease answer me
Step-by-step explanation:
v= 23 m/s YAN NA PO SANA MAKA TULONG SA INYO
3. 1.) What is the equation of a circle given the center (2,-3) and radius 4? A. (x-2)^2 + (y-3)^2 = 16 B. (x+2)^2 + (y+3)^2 = 16 C. (x-2)^2 + (y+3)^2 = 16 D. (x+2)^2 + (y-3)^2 = 16
Step-by-step explanation:
center (2, -3) and radius 4
(x - a)^2 + (y - b)^2 = r^2
(x - 2)^2 + (y - (-3))^2 = 4^2
(x - 2)^2 + (y + 3)^2 = 16
I hope this helps
4. Part 1: Directions: Rewrite the following probability distribution in function form (pmf). 4pts each 1) 2) Wrritten Work 2: PMF 3) X P(X) X P(X) X P(X) 1 2 3 1/3 1/3 1/3 0 3/7 1 3/16 1. 1/7 2. 2/7 N 2 3 5/16 5/16 3. 1/7 4 3/16 4) The probabilities of X (0, 2, 3, and 4) is 1/16, 4/16, 4/16, and 7/16 respectively. 5) If x= 1; f(x) = 3/8 x = 2,3; f(x) = 1/4 x= 4; f(x) = 1/8
Answer:
1)
X P(X)
---------
1 1/3
2 1/3
3 1/3
The pmf for this probability distribution is:
f(x) = {1/3, when x = 1, 2, or 3
{0, otherwise
2)
X P(X)
---------
0 3/7
1 3/16
2 1/7
3 5/16
4 3/16
The pmf for this probability distribution is:
f(x) = {3/7, when x = 0
{3/16, when x = 1
{1/7, when x = 2
{5/16, when x = 3
{3/16, when x = 4
{0, otherwise
3)
X P(X)
---------
1 1/7
2 5/16
3 3/16
4 3/16
The pmf for this probability distribution is:
f(x) = {1/7, when x = 1
{5/16, when x = 2
{3/16, when x = 3
{3/16, when x = 4
{0, otherwise
4)
X P(X)
---------
0 1/16
2 4/16
3 4/16
4 7/16
The pmf for this probability distribution is:
f(x) = {1/16, when x = 0
{4/16, when x = 2
{4/16, when x = 3
{7/16, when x = 4
{0, otherwise
5)
X f(X)
---------
1 3/8
2 1/4
3 1/4
4 1/8
The pmf for this probability distribution is:
f(x) = {3/8, when x = 1
{1/4, when x = 2 or 3
{1/8, when x = 4
{0, otherwise
5. 1. 3/4 x 6/9 = 2.(-1 2/3) x (3 3/5) = 3. (-2/16) x (- 4/5) = 4. - 16/9 x 18/4 x 2/3 = 5. (3 3/5) x (5/8) = NEED IT NOW
Answer:
= 1/2 or 0.5-111/10 or 0.1-16/333/8 or 4.125solution
1.
Answer:
1. 3/4 x 6/9 =
2.(-1 2/3) x (3 3/5) =
3. (-2/16) x (- 4/5) =
4. - 16/9 x 18/4 x 2/3 =
5. (3 3/5) x (5/8) =
Step-by-step explanation:
1.) 1/22.) -63.) 1/104.) -16/3 or -5 1/35.) 9/4 or 2 1/46. 2x(x2+1)3−16(x2+1)5 2 x ( x 2 + 1 ) 3 − 16 ( x 2 + 1 )
Answer:
46 a³32
Step-by-step explanation:
#cary on learning
7. 2. Determine the equation of a 1 pointcircle if the radius is 4 units andthe center lies at (3,-4).*A. (x - 3)^2 + (y + 4)^2 = 16ОООO B. (x – 3)^2 - (y + 4)^2 = 16O C. (x + 3)^2 - (- 4)^2 = 16O D. (x + 3)^2 + (y - 4)^2 = 16
Answer:
A. (x-3)² + (y+4)² = 16
Step-by-step explanation:
radius is 4 units and the center lies at (3,-4)
h=3, k = -4 , r =4
(x-h)² + (y-k)² = r²
(x-3)² + (y-(-4))² = 4²
(x-3)² + (y+4)² = 16
8. b. What's In?Activity 2. Solve for x.1. x/16 = 3/22. 4/5 = 16/x3. 4(x) = 3(24)4.7 x 20 = 14 x x5. 2x + 3x + 4x = 81
1.
[tex]x = 24[/tex]
solution:
• (cross multiply) 2x=48
• (divide both side in 2) x=24
2.
[tex]x = 20[/tex]
solution:
• 4x=80
• x=20
3.
[tex]x = 18[/tex]
solution:
• 4x=72
• x=18
4.
[tex]x = 35[/tex]
solution:
• 7 x 20 = 140
• 4 x X = 4x
• 4 divided by 140 is equal to 35
5.
[tex]x = 9[/tex]
solution:
• 2x + 3x + 4x =9x
• 9x divided by 81 is equal 9
Sana nakatulong :> Goodluck
9. find the solution set of 1/x - x/6 = 2/3(x+2)²/5 + (x-2)²/3 = 16/3
Answer:
solution set of 1/x - x/6 = 2/3
x = -2 - SQRT(10)
x = -2 + SQRT(10)
solution set of (x+2)²/5 + (x-2)²/3 = 16/3
x = -2 and x = 3
Step-by-step explanation:
equation 1
1/x - x/6 = 2/3
LCM of x, 6, & 3 is 6x, so we multiply each side by 6x
6x * (1/x - x/6) = 2/3 *6x
(6x * 1/x) - (6x * x/6) = 2/3 *6x
6x/x - 6x^2/6 = 12x/3
now 6x/x = 6 because x's cancel out,
and 6x^2/6 = x^2 because the 6's cancel out,
and 12x/3 = 4x because 12/3 = 4
so we have below
6 - x^2 = 4x
rearranging, we get standard form
-x^2 - 4x + 6 = 0
a = -1, b = -4, c = 6
solve for x using quadratic equation, PLUS (+) first
x = -b + SQRT( b^2 - (4 * a * c) ) / 2 * a
x = -(-4) + SQRT( (-4)^2 - (4 * (-1) * 6) ) / 2 * (-1)
x = 4 + SQRT( 16 - (-24) ) / -2
x = 4 + SQRT( 16 + 24 ) / -2
x = 4 + SQRT( 40 ) / -2
x = 4 + SQRT( 4 * 10 ) / -2
now SQRT (4) = 2, so we factor out
x = 4 + 2 * SQRT(10) / -2
we factor out 2
x = 2 * (2 + SQRT(10)) / -2
now the 2 in the numerator cancels the 2 in denominator, but we get negative sign
x = -2 - SQRT(10)
now for the second root using quadratic equation, MINUS (+)
we skip the other parts except 2nd to the last
x = 2 * (2 - SQRT(10)) / -2
now the 2 in the numerator cancels the 2 in denominator, but we get negative sign
x = -2 + SQRT(10)
so our 2 roots are
x = -2 - SQRT(10)
x = -2 + SQRT(10)
equation 2
(x+2)²/5 + (x-2)²/3 = 16/3
1/5 * (x+2)² + 1/3 * (x-2)² = 16/3
1/5 * (x + 2)^2 + 1/3 * (x - 2)^2 = 16/3
LCM of 3 and 5 is 15, so we multiply all terms by 15
15 * 1/5 * (x + 2)^2 + 15 * 1/3 * (x - 2)^2 = 15 * 16/3
3 * (x + 2)^2 + 5 * (x - 2)^2 = 5 * 16
3 * (x + 2) * (x + 2) + 5 * (x - 2) * (x - 2) = 80
3 * (x*x + 2x + 2x + 4) + 5 * (x*x - 2x - 2x + 4) = 80
3 * (x^2 + 4x + 4) + 5 * (x^2 - 4x + 4) = 80
3x^2 + 12x + 12 + 5x^2 - 20x + 20 = 80
3x^2 + 5x^2 + 12x - 20x + 12 + 20 = 80
8x^2 - 8x + 32 = 80
8x^2 - 8x + 32 - 80 = 0
8x^2 - 8x - 48 = 0
factor out 8
8 * (x^2 - x - 6) = 0
factor out x^2 - x - 6, we get (x + 2) (x - 3)
8 * (x + 2) * (x - 3) = 0
so roots are x = -2 and x = 3
verify (x+2)²/5 + (x-2)²/3 = 16/3
if x = -2
( -2 + 2)² / 5 + ( -2 - 2)² / 3 = 16/3
(0)² / 5 + (-4)² /3 = 16/3
0/5 + 16/3 = 16/3
0 + 16/3 = 16/3
16/3 = 16/3
if x = 3
( 3 + 2)² / 5 + ( 3 - 2)² / 3 = 16/3
5² / 5 + 1² / 3 = 16/3
25 / 5 + 1/3 = 16/3
5 + 1/3 = 16/3
to convert 5 to a fraction we note that 5 = 5 * 1 = 5 * 3/3
5 * 3/3 + 1/3 = 16/3
15/3 + 1/3 = 16/3
16/3 = 16/3
10. what is the product of x-3/x^2+x-20 times x^2-8x+16/x-3
Answer:
x-4/x+5
Step-by-step explanation:
Reduce and factor out mo yung right part so magiging..
1/x^2+5x-4x-20 × (x-4)^2
Then factor out mo ulit
1 / x × (x+5) -4 (x+5) × (x-4)^2
So magiging..
1 / (x+5) × (x-4) times (x-4)^2
Icancel out mo yung (x-4)
so magiging..
1 / x+5 × (x-4)
Kaya naging
x-4/x+5
Hope naintindihan mo ehe :)
Answer:
[tex] \frac{x - 4}{x + 5} [/tex]Step-by-step explanation:
[tex]( \frac{x - 3}{ {x}^{2} + x - 20 }) \times ( \frac{ {x}^{2} - 8x + 16 }{x - 3} )[/tex]
[tex] \frac{x - 3}{ {x}^{2} + x - 20} \times \frac{(x - 4) {}^{2} }{x - 3} [/tex]
[tex] \frac{x - 3}{ {x}^{2} + 5x - 4x - 20 } \times \frac{(x - 4) {}^{2} }{x - 3} [/tex]
[tex]\frac{1}{ {x}^{2} + 5x - 4x - 20 } \times {(x - 4) {}^{2} }[/tex]
[tex]\frac{1}{ x \times (x + 5)- 4x - 20 } \times {(x - 4) {}^{2} }[/tex]
[tex]\frac{1}{ x \times (x + 5)- 4x (x + 5) } \times {(x - 4) {}^{2} }[/tex]
[tex]\frac{1}{ (x + 5) \times (x - 4) } \times {(x - 4) {}^{2} }[/tex]
[tex] \frac{1}{x + 5} \times (x - 4)[/tex]
[tex] = \frac{x - 4}{x + 5} [/tex]
11. A. Project NumBERS 1. Write in exponential form, 16 x 16 x 16 x 16. 2. What is the exponent in #1? 3. What is the base in #1 4. What is 43? 5. Evaluate 2^3+7^2.
Answer:
1) Exponential form of 16 x 16 x 16 x 16 is 16^4.
2) The exponent in #1 is 4.
3) The base in #1 is 16.
4) It is unclear what "43" refers to.
5) Evaluating 2^3+7^2:
2^3 = 2 x 2 x 2 = 8
7^2 = 7 x 7 = 49
Therefore, 2^3+7^2 = 8 + 49 = 57.
Step by step explanation:
1) Exponential form of 16 x 16 x 16 x 16 is 16^4:
we can use the fact that any number raised to a power represents repeated multiplication of that number. In this case, we have four factors of 16 being multiplied together. So, we can write 16^4.
2) The exponent in #1 is 4:
In the expression 16^4, the number 4 represents the exponent, which tells us how many times the base (16) is being multiplied by itself.
2) The base in #1 is 16:
In the expression 16^4, the number 16 represents the base, which is the number that is being multiplied by itself a certain number of times (as indicated by the exponent).
5) Evaluating 2^3+7^2:
First, we calculate 2^3, This gives us 8. Next, we calculate 7^2, This gives us 49. Finally, we add these two results together: 8 + 49 = 57. Therefore, the value of the expression 2^3+7^2 is 57.
12. (x-3)2161.(x+3)2+533
Answer:
i cant understand
Step-by-step explanation:
please send the pick
13. 2.) 2(x²+1)=103.). ( x+2)2. ( x-2)2. 16 ______ +______. - . ___ 5. 3. 3
Answer:
100(70)
50
100
Step-by-step explanation:
yan po answer sana po makatulong
14. Write the equation of the circle below. A. (x-3)^2 + y^2 = 16 B. (x - 3)^2 + (y - 1)^2 = 16 C. (x - 3)^2 + y^2 = 4 D. (x - 3)^2 + (y - 1)^2 = 4
Answer:
A
Step-by-step explanation:
since radius is 4 and origin rest on the x axis.
15. (x+2)^2/5 +(x-2)^2/3 =16/3 find the solution
Answer:
x=3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
((x+2)^(2))/(5)+(x-2)/(3)-((16)/(3))=0
Step by step solution :
STEP
1
:
16
Simplify ——
3
Equation at the end of step
1
:
((x+2)2) (x-2) 16
(————————+—————)-—— = 0
5 3 3
STEP
2
:
x - 2
Simplify —————
3
Equation at the end of step
2
:
((x + 2)2) (x - 2) 16
(—————————— + ———————) - —— = 0
5 3 3
STEP
3
:
(x + 2)2
Simplify ————————
5
Equation at the end of step
3
:
(x + 2)2 (x - 2) 16
(———————— + ———————) - —— = 0
5 3 3
STEP
4
:
Calculating the Least Common Multiple
4.1 Find the Least Common Multiple
The left denominator is : 5
The right denominator is : 3
16. 1. - 14+14=02. 5x (2 x 3) = (5 x2) x 33. -9/4 + 11) = (-9 x 4) + (-9 x 11)4. 16 x 0 = 05.1.4 = 16. 16 x 2 = 2 x 16
Answer:
1. - 14+14=
14+14
28
2. 5x (2 x 3) = (5 x2) x 3
5x3x2x3
15x2x3
30x3
90
3. -9/4 + 11) = (-9 x 4) + (-9 x 11)
9/4+11x4+11
25+11x4+11
36x4+11
144+11
155
4. 16 x 0 =0
5.??
1.4 = 1=5
6. 16 x 2 = 2 x 16
16x2=x16
32=2x16
64x16
1,024
Step-by-step explanation:
isax2 lang po pede kapagod mag tipe eh☺️
17. -3√x+2=x-16find the x
Answer:
We can solve for x by isolating it on one side of the equation.
-3√x + 2 = x - 16
First, let's move the x term to the left side of the equation and the 2 to the right side:
-3√x - x = -18
Next, we can factor out the x on the left side:
x(-3√1 - 1) = -18
Simplifying the square root:
x(-3 - 1) = -18
x(-4) = -18
Finally, divide both sides by -4 to solve for x:
x = (-18) / (-4) = 4.5
Therefore, x = 4.5.
Step-by-step explanation:
Ask Me Anything
x=(-18)/(-4)=4.5
x=4.5
18. (x+2)^2/5+(x-2)^2/3=16/3
x=3; x= -2 are the solutions of the problem.
19. What is the equation of a hyperbola with foci at (-2, -2) and (-2, 8), and the length of the conjugate axis is 6? *0/1(y-3)^2/16+((〖x+2)〗^2)/9=1(y-3)^2/16-((〖x+2)〗^2)/9=1(x-3)^2/16+((〖y+2)〗^2)/9=1 (x-3)^2/16-((〖y+2)〗^2)/9=1
Answer:
f x³ - 7x² + 4x - 28 if x-7x² - 2x+1
= (x-2)( f x³+ 5x² - x - 5?
a.x+1
. x+5
2 + 4 − 3) ÷ ( − 1)
4. (
3 +
2 + + 6) ÷ ( + 2)
5. (3
3 + 11= 100000000000000..32132132132132132132132321.3213213213123-321321321321321321.3213
Step-by-step explanation:
20. standard form of 2(x+3)²-(x+2)²=16
Answer:
STANDARD FORM:
[tex] {x}^{2} + 8x - 2 = 0[/tex]
Step-by-step explanation:
I Hope this help
21. 2(x +3)²-(x+2)²= 16
Answer:
14 = 16
Step-by-step explanation:
I just wrote this because it needs to 20 letter long
22. Rewrite each of the following using exponent 1. 16 x 16 x 16 x 16 2. 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 3. Eight raised to the 4th power 4. Seventh raised to the tenth power 5.twelve raised to the elenveth power
Answer:
1.
[tex] {16}^{4} [/tex]
2.
[tex] {2}^{11} [/tex]
3.
[tex] {8}^{4} [/tex]
4.
[tex] {7}^{10} [/tex]
5.
[tex] {12}^{11} [/tex]
Step-by-step explanation:
yan po ang sagot sana nakatulong
23. Create your own equation by arranging the numbers and using operation symbols so that the answer is 26.2³,3,4,16,36 = 26A. 36 ÷ 4 x 3 - 16 + 2³B. 2³ x 3+36 ÷ 16 – 4C. 36 – 4 x 3 +16 ÷ 2³D. 3 + 4 - 2³ x 36 ÷ 16
Answer:
C.
Step-by-step explanation:
36 – 4 x 3 +16 ÷ 2³ =26
24. Find a cubic polynomial equation with roots -2, 2, and 4. A. x^3 + 4x^2 - 4x + 16= 0 B.x^3 - 4x^2 - x + 16 = 0 C.10x^3 - x^2 - x + 16 =0 D.x^3 - 4x^2 - 4x + 16=0
-2,2,4 are roots a polynomial equation. Transform it into the expanded equation form:
(x+2)(x-2)(x-4)
Then equate:
(x-2)(x+2) = x²-4
(x²-4)(x-4) = x³-4x²-4x+16
So the answer is:
D. x³-4x²-4x+16 :)
25. (quadratic equations) : GRADE 91. x²=16 =?2. x²=49 =?3. (x-3)²=16 =?
Answer:
1. x=4, - 4
2. x=7 - 7
3. x=7 - 1
26. f(x) = x² + 8x +16; find the f(-3)[tex]f(x) = x {}^{2} + 18x + 16 \: find \: f( - 3)[/tex]
Answer:
anong grade kana po ako 7 palsng di pa namin napag aralan yan ehh hirap pala sa susunod
27. Activity 2. Solve for x. 1. x/16 = 3/22. 4/5 = 16/ x3. 4(x) =3(24)4. 7x20=14xx5. 2x+3x+4x =81
Answer:
x=24x=20x=72x=140/19x=928. 1. -14+ 14 = 02.5x (2 x 3) = (5x2) x 33.-94 + 11) = (-9 x 4) + (-9 x 11)4. 16×0=05.¼• 4 =16. 16×2 = 2×16
Answer and step-by-step explanation:
The given equations show the different properties of real numbers. These properties will help us solve problems in math.
1. Additive Inverse Propertya + (-a) = 0, the same positive and negative number added together will result to 0.2. Associative Property of Multiplicationa × (b × c) = (a × b) × c, regrouping the numbers will not affect the product.3. Distributive Propertya(b + c) = ab + ac, multiplication distributes over addition.4. Zero Property of Multiplicationa × 0 = 0, zero multiplied by any number is always equal to zero.5. Multiplicative Inverse Property a × 1/a = 1 where a ≠ 0, a number multiplied by its multiplicative inverse is always equal to one.6. Commutative Property of Multiplicationa × b = b × a, switching the numbers when multiplying will not affect the product.*If you have some part/s you want me to clarify, please comment below. ^^
29. (x+2)²/5 + (x-2)²/3=16/3
that is ellipse
y dapat ang isang variable
30. (x+2)²/5 + (x-2)²/3=16/3
Answer:
x=3, x=-2
Step-by-step explanation:
Is the equation (x + 2)^(2/5) + (x - 2)^(2/3) = 16/3
OR (x+2)² / 5 + (x - 2)² / 3 = 16 ?
Please be VERY CAREFUL in writing the statement of your
question ?
(x + 2)² / 5 + (x - 2)² / 3 = 16
=> 3(x + 2)² + 5(x - 2)² = 16*5 = 80 [Multiplying by 15 throughout]
=> 3(x² + 4x + 4) + 5(x² - 4x + 4) = 80
=> 8x² - 8x + 32 = 80
=> 8x² - 8x - 48 = 0
=> x² - x - 6 = 0 [Dividing by 8 throughout]
=> x² + 2x - 3x - 6 = 0
=> (x² + 2x) - (3x + 6) = 0
=> x(x + 2) - 3(x + 2) = 0
=> (x + 2)(x - 3) = 0
=> (i) x + 2 = 0, or (ii) x - 3 = 0
=> (i)x = - 2 , or (ii) x = 3
00
