When solving the inequality y< -2x+1 by graphing , the solution region will be

Answer:

1.   Vertex is (-12, -101)

2.   Vertex is (4, 25)

Step-by-step explanation:

1)

[tex]y = x^{2} + 24x + 144 + 43 - 144\\ = (x + 12)^{2} - 101[/tex]

Vertex is (-12, -101)

2)

[tex]y = -x^{2} + 8x + 9\\ = -(x^{2} - 8x + 16) +9 + 16\\ = -(x - 4)^{2} + 25[/tex]

Vertex is (4, 25)

Answer:

71

Step-by-step explanation:

i think this is right

Answer:

Only answer is A

Answer:

The first and fourth one.

Step-by-step explanation:

A ratio of 5:2 is saying that for every 5 boys, there are 2 girls. Now, in the question, it says, "In a school" so it must be within the whole school, hence #4. Hope this helps!

Answer:

288cm

Step-by-step explanation: She is a beach..Thats why shes rude

Answer:

open circle means less than OR greater to

closed circle means less than or equal to OR greater than or equal to

Answer:50%

Step-by-step explanation:

Steve's expected times of winning in 12 trials is about 2 times.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

The winning chance of Steve is 20% or 0.2.

We know, We know The expected value, also known as the expectation, average, is a generalization of the weighted average in the field of probability theory.

Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.

Therefore, If he plays the game 12 times the number of times he is expected to win is,

= 12×0.2.

= 2.4 Or 2 times.

learn more about probability here :

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Answer:

Step-by-step explanation:

The graph decreases at first, then changes direction at (2, 5).

y = a(x-2)^2 + 5

Plug in (1,11) and solve for a:

11 = a(1-2)^2 + 5

a = 6

Equation in vertex form:

y = 6(x-2)^2 + 5

Answer:

-4

Step-by-step explanation:

Answer:

A quarter

Step-by-step explanation:

2 to the power of negative four = 0.0625

Multiply this by two to the power of two [four] and your answer is naught point two five [a quarter]

Answer:

A

Step-by-step explanation:

Answer:

The possible equation is; T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]

The horizontal asymptotes is Lim(t → ∞), T → 20°C

The vertical asymptote is Lim(t → 0) T → 100°C

Step-by-step explanation:

The given parameters are;

The temperature of the house = 20°C

The initial temperature of the tea = 100°C

The temperature of the tea after 5 minutes = 70°C

From Newton's law of cooling, is given as follows;

[tex]T(t) = T_s + (T_0 - T_s) \cdot e^{k \cdot t}[/tex]

[tex]\dfrac{dT}{dt} = -k(T - T_a)[/tex]

Where;

T(t) = The temperature after time, t =

[tex]T_s[/tex] =The room temperature = 20°C

T₀ = The initial temperature of the tea = 100°C

k = Constant

T(5) = 70°C, therefore, we have;

[tex]70 = 20 + (100 - 20) \cdot e^{k \cdot 5}[/tex]

50/80 = [tex]e^{k \cdot 5}[/tex]

5·k = ㏑(5/8)

k = ㏑(5/8)/5 ≈ -0.094

Therefore, the possible equation is given as follows;

T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]

The asymptotes are Lim(t → ∞), T → 20°C  and Lim(t → 0) T → 100°C

Answer:

The slope is 2/5

Step-by-step explanation:

1.) Do (y1-y2)/(x1-x2)

(4-2)-(7-2) which is 2/5

2.) 2/5 is the slope

Answer:

I

Step-by-step explanation:

this its 61 ok thanks you

Answer:

1: the wooden part is 3.725 kilograms.

2: 10 Children

Answer:

1 3.725 kg of wood

2 10

Step-by-step explanation:

For question 1 you multiply the total weight by 3/4 to find the weight of the metal, you then subtract this from the total to find the weight of the wood

For question 2 you look at it as a fraction 1/3 kids + 2/3 adults equal 30, since there are twice as many adults. Then you multiply 30 by 1/3 and get 10

Answer:

C

Step-by-step explanation:

Hope this Helps.

The coordinate of the vertex is ( 7 ,4), the correct option is B.

An absolute value function is a function that gives positive value for a number or variable. It has a V shaped graph, it is also called as a modulus function.

The absolute function is y = | -x +7| +-4

The v shaped curve has a vertex and it can be determined by following method.

The value of the x coordinate is determined by equating the modulus to 0, the point at which the modulus is zero.

-x +7 = 0

Adding -7 to both sides.

-x = -7

x = 7

The value of y at this point is the y coordinate of the vertex.

y = 0 +4

y = 4

(x,y) = ( 7,4)

To know more about Absolute value function

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Answer:

36.9

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

Answer:

It is either 64 or 96. Thank u for ur time

Step-by-step explanation:

I literally used a calculater... and thats the truth...

Answer:

The answer is d

Step-by-step explanation:

Answer:

The Answer Is A.

Step-by-step explanation:

I Just Got It Correct, And Your Welcome.

Answer:

$256.80

Step-by-step explanation

Change the 20% to a decimal, .20, the multiply it by the total amount of $$$, 321, and you get $64.20. Subtract that by the total amount to get the amount left over for her to get new clothes.

Hope it helps!! :))))

Answer:

free points

Step-by-step explanation:

Answer:

etm

Step-by-step explanation:

yc

Answer:

lim_( 3\/(-5 + x) = 0

Step-by-step explanation:

h(x) = 1\/(x - 5)×3

{x element R : x!=5}

{h element R : h!=0}

d\/dx(3\/(x - 5)) = -3\/(x - 5)^2

integral 3\/(x - 5) dx = 3 log(x - 5) +

Answer:

d and b

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

Answer:

200% out of 1000%    srry if im wrong

Step-by-step explanation:

Answer:

please answer this i need it too

Step-by-step explanation:

Step-by-step explanation:

y = mx + c

m before x = slope

C. y = 3x - 1

slope = 3

select C

Answer:

c) y=3x-1

Step-by-step explanation:

y=mx+b