Which equation is represented by the graph below?
ก
5
4+
3+
2+
1 2 3 4 5
X
54 -3 -2 -11
-27
-3
-4

Answer:

[tex]y=-3(x-5)^2+4[/tex]

Step-by-step explanation:

Hi there!

Given the vertex of a parabola and a point, it's easiest to organize the equation in vertex form:

[tex]y=a(x-h)^2+k[/tex] where the vertex is located at [tex](h,k)[/tex] and a is a numerical value

1) Plug the vertex into the equation

[tex]y=a(x-h)^2+k[/tex]

Plug in the vertex (5,4)

[tex]y=a(x-5)^2+4[/tex]

2) Solve for a

[tex]y=a(x-5)^2+4[/tex]

Plug in the given point (3,-8) and solve for a

[tex]-8=a(3-5)^2+4\\-8=a(-2)^2+4\\-8=4a+4[/tex]

Subtract 4 from both sides

[tex]-8-4=4a+4-4\\-12=4a[/tex]

Divide both sides by 4

[tex]\frac{-12}{4} = \frac{4a}{4} \\-3=a[/tex]

Therefore, a=-3. Plug this back into [tex]y=a(x-5)^2+4[/tex]:

[tex]y=-3(x-5)^2+4[/tex]

I hope this helps!

Answer:

52.37 – 46.37 = y

8y = 48

Step-by-step explanation:

Choose all the equations that are true if y = 6. 52.37 – 46.37 = y 45y =445 8y = 48 3.2 + y = 9 y ÷ 4 = 24

We solve for y in all the equations :

52.37 – 46.37 = y

52.37 – 46.37 = 6 (True)

45y =445

Divide both sides by 45

45y/45 = 445/45

y = 9.888 (False)

8y = 48

y = 48/8

y = 6 (True)

3.2 + y = 9

y = 9 - 3.2

y = 5.8 (false)

y ÷ 4 = 24

y/4 = 24

y = 24 * 4 = 96 ( false)

It is 34.90

Step-by-step explanation:

Your welcome!

Answer:

2/11

Step-by-step explanation:

12-4-5=3

So now we know that we have:

4 pairs of polo socks

5 pairs of plain white socks

3 pairs of grey socks

To pull a grey sock one time is 3/12 since there are 12 total socks and 3 pairs of grey socks but since we remove a sock, in the second time, the probability would be 2/11.

Hope this helps! Brainliest?

Answer:

[tex]{ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} [/tex]

Answer: y = 1/4x - 1.

Step-by-step explanation: This line has a slope (rise over run) of 1/4, and a y-intercept of -1. Plugging those values into slope-intercept form (y = mx + b) gives you the answer.

Answer:

Luca

Step-by-step explanation:

Juan 566/734 = 0.7711

Luca 7/9= 0.7777

Luca has a greater percentage

Answer:

6x -14

Step-by-step explanation:

x^3-7x^2+36​

Take the first derivative

3x^2 -14x

Now take the derivative again

6x -14

Answer:

6x - 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x³ - 7x² + 36

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

hope this helps

Step-by-step explanation:

for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

Answer:

For an expression to be in polynomial form , the following conditions must be met :

Answer:

f(n) = 6n + 12

Step-by-step explanation:

There is a common difference in consecutive number of seats, that is

42 - 36 = 36 - 30 = 30 - 24 = 24 - 18 = 6

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 18 and d = 6 , then

f(n) = 18 + 6(n - 1) = 18 + 6n - 6 = 6n + 12

Answer:

A. 23+x=140

Step-by-step explanation:

The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:

m∠AOB + m∠BOC = m∠AOC.

From the image:

∠NOP = ∠NOQ + ∠QOP

∠NOP = 140, ∠NOQ = x, ∠QOP = 23

substituting:

140 = x + 23

x = 140 - 23 = 117

∠NOQ = 117°

Answer:

a

Step-by-step explanation:

my brother told me....

9514 1404 393

Answer:

  a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

___

You seem to have ...

  [tex]\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)[/tex]

_____

Additional comment

I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.

  [tex]2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}[/tex]

Multiplication increases the number of times the base is a factor.

  [tex](2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5[/tex]

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

  [tex]\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1[/tex]

(1, 2) because that's where the lines intersect!

Answer: (1, 2)

Step-by-step explanation:

The solution of the systems of equations graphed can be found where the two linear lines intersect. In this graph, the lines intersect at 1 in the x-axis (the line with arrows that runs from left to right" and at 2 in the y-axis (the line with arrows that runs north to south).

Answer:

2.8 square inches

Step-by-step explanation:

Area of the triangle PQR = 1/2 rp sin <Q

Given

r = 9in

p = 6.6in

<Q =6°

Substitute into the formula;

Area of the triangle PQR = 1/2 * 9 * 6 sin6°

Area of the triangle PQR = 9 * 3 sin6°

Area of the triangle PQR  = 27 sin6°

Area of the triangle PQR = 27(0.1045)

Area of the triangle PQR = 2.82

Hence the area to the nearest 10th of a square inch is 2.8 square inches

Answer:

3.104 which is equal to 3.1 it your answer.

Step-by-step explanation:

I did it on DeltaMath

Answer:

no lo entiendo lo que escribiste

Answer:

1.5(x+y)/z

2. 7(x+y)-5/3z

3.1/2(x+y)-5

4. 3x-4y/7z

Answer:

hrs 50   min 14

Step-by-step explanation:

hrs 45 min 67 = hrs 46 min 7

hrs 3. min 67​ = hrs 4 min 7

Total

  hrs 46 min 7

+   hrs 4 min 7

————————

 hrs 50   min 14

Answer:

[tex]E(X_n)=\frac{2(n-1)}{27}[/tex]

[tex]E(y)=\frac{14}{9}[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green [tex]g=4[/tex]

Number of yellow [tex]y=4[/tex]

Number of white [tex]w=4[/tex]

Probability of Green Followed by yellow P(GY) ball

 [tex]P(GY)=\frac{4}{9}*\frac{3}{9}[/tex]

 [tex]P(GY)=\frac{4}{27}[/tex]

Generally the equations for when n is even is mathematically given by

 [tex]Probability of success P(S)=\frac{4}{27}[/tex]

 [tex]Probability of Failure P(F)=\frac{27-4}{27}[/tex]

 [tex]Probability of Failure P(F)=\frac{23}{27}[/tex]

Therefore

 [tex]E(X_n)=\frac{n}{2}*P[/tex]

 [tex]E(X_n)=\frac{n}{2}*\frac{4}{27}[/tex]

 [tex]E(X_n)=\frac{2n}{27}[/tex]

Generally the equations for when n is odd is mathematically given by

 [tex]\frac{n-1}{2}[/tex]

 [tex]E(X_n)=\frac{n-1}{2}*\frac{4}{27}[/tex]

 [tex]E(X_n)=\frac{2(n-1)}{27}[/tex]

b)

Probability of drawing white ball

 [tex]P(w)=\frac{2}{9}[/tex]

Therefore

 [tex]E(w)=\frac{1}{p}[/tex]

 [tex]E(w)=\frac{1}{\frac{2}{9}}[/tex]

 [tex]E(w)=\frac{9}{2}[/tex]

Therefore

 [tex]E(y)=[E(w)-1]\frac{4}{9}[/tex]

 [tex]E(y)=[\frac{9}{2}-1]\frac{4}{9}[/tex]

 [tex]E(y)=\frac{14}{9}[/tex]

Answer:

D.

is the correct answer

Answer:

Center (3, -8), radius = [tex]\sqrt{39}[/tex]

Step-by-step explanation:

The Standard Form for the equation of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

The center is the point (h, k) and the radius is r.

Match up the given equation with the standard form.

[tex](x-h)^2=(x-3)^2 \rightarrow h=3\\(y-k)^2=(y+8)^2 \rightarrow k=-8[/tex]

That last bit can be tricky, k = -8, not 8.  Watch the signs!

Answer: 50

Step-by-step explanation:

Given

There are maximum of 103 people in room and principal and 2 counselor need to discuss eligibility requirements.

If each student must bring a parent with them

No of seats left after principal and 2 counselor occupied the seats are 103-3=100

A student and parent occupies at least 2 seats. For maximum students, only one parent is feasible.

So, maximum no of students are

[tex]\Rightarrow \dfrac{100}{2}=50[/tex]

Answer:

Answer is 18 , because you add 15 and 3 which makes 18 so your answrer is x=18

Step-by-step explanation:

really hope this helped , please give me brainlest :) .

Answer:

Talisa is 62 inches tall

Step-by-step explanation:

tan = opp/adj

tan60 = opp/36

36 * tan 60 = opp

use calculator

opp = 62.353829072479583

Rounded

Talisa is 62 inches tall

Answer:

Answer:

the answer is 55

Step-by-step explanation:

if you have a straight line each side equals 180 degrees so take 60+65 which equals 125 then do 180-125 and you get 55

Answer:

x<=-3

Step-by-step explanation:

2x-5/x-2 <= 1

Multiply both sides by x-2

2x-5<=x-2 (anything times 1 is that number.)

add 5 to both sides

2x<=x-3

subtract x from both sides

x<=-3

Answer:

Step-by-step explanation:

[tex]\frac{2x-5}{x-2} \leq 1\\case ~1. both ~numerator~and~denominator \geq 0\\x\neq 2\\2x-5\leq x-2\\x\leq 3\\so~0\leq x<2U2<x\leq 3\\case~2.\\both~numerator~and~denominator<0\\2x-5\geq x-2\\x>3\\which~is~rejected~as~it~gives~both~2x-5~and ~x-2>0[/tex]

Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]

taking positive

t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]

t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]

So

t=4.15seconds closer to 4seconds.So

Max is closer.

Step-by-step explanation:

Angle C: 50 degrees

Angle E: 55 degrees

Angle D: 50 degrees

Angle A: 125 degrees

Angle B: 75 degrees