Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.

The vertex is (1, -9).

The graph opens upward.

The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.

The graph is steeper than the graph of f(x) = x2.

The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Answers

Answer 1

Answer:

the graph opens upward

the graph is steeper then the graph of f(x) = x2

and the graph is the same as the graph of f(x)=6x2 + 12x -3

Step-by-step explanation:

Answer 2

The statements graph opens upwards, graph is steeper than the graph of f(x) = x² and  graph is the same as the graph of f(x) = 6x² + 12x - 3 are true about the graph  f(x) = 6(x + 1)2 -9.

What is a function?

A function can be thought of as an output for the given set of inputs.

Given f(x) = 6(x + 1)² - 9.

f(x) = 6( x² + 2x + 1) - 9.

f(x) = 6x² + 12x + 6 - 9.

f(x) = 6x² + 12x - 3.

The graph opens upward as the coefficient of x² is positive.

The graph is steeper than x² as it has a multiplication factor of 6.

The graph is the same like f(x) =  6x² + 12x - 3 as we have already found out by simplifying.

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Related Questions

Show the solution in each linear inequality in system of linear inequalities by graphing y>-7/2x+3

Answers

Answer: When you graph it, put a dot on 3, and then count down 7 spaces, and 2 spaces to the right, put a dot there. Use a straight edge to draw a line through the two dots, that continues on the graph. You can continue to got down 7, over 2 if needed.

Step-by-step explanation:

A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet, and the diameter of the circle was 14 feet.



Which expression best represents the value of
π
?

A.
43.96
7

B.
43.96
14

C.
7
43.96

D.
14
43.96

Answers

Answer:

pi = pi

Step-by-step explanation:

Circumference = 2 * pi * r

Equation you need:

43.96 = 2 * pi * 7

43.96 = 2 * 7 * pi

43.96 / 14 = pi

pi = 3.14

Given the following functions: f(x) = x2 – 5 and g(x) = x - 3.
Find f(g(x))

Answers

Answer:

f(g)x))= x^2 -6x +4

Step-by-step explanation:

first, plug in g(x) into f(x): f(g)x)) =(x-3)^2 -5

then, you simplify the (x-3)^2 into (x-3)(x-3): f(g)x))= (x-3)(x-3) -5

when you distribute the two (x-3) you end up with: f(g)x))= x^2 -6x +9 -5

finally, you combine like terms and subtract 5 from 9 and your final answer is : f(g)x))= x^2 -6x +4

note: x^2 is x squared or exponent of 2

Answer this for my sister again​

Answers

Im thinking 1:7 but I’m not really sure
wait wat nahwiwnwhsiwb

Estimate by rounding the first factor to the nearest ten. Then enter the product.

77 × 5


The estimate is _______


The product is ________

Answers

Answer:

estimate - 400

product - 385

Step-by-step explanation:

estimate - 77 rounds up to 80

80*5=400

product - 70*5=350

7*5=35

350+35=385

Answer:

The estimate is 390 while the real product is 385

I can't solve this problem: 47 x 98= ( ? x 47)-(2 x 47)

Answers

Answer:

The answer to your question is:

2 and -49

Step-by-step explanation:

2 x -49 = -98

2 + (-49) = -47

x2 - 47x - 98 = 0

The solution to factor the quadratic equation above is:

(X + 2 ) (X - 49)

Since 2 and -49 multiply to -98 and add up -47, you know that the following is true:

x2 - 47x - 98 = (X + 2 ) (X - 49)

does this graph represent a function?Hint: use vertical line test.

Answers

Yes it does just use your pencil or finger and go across it left to right

What is the value of 4x – 3y if x = 3 and y = 6?

Answers

4x — 3y if x = 3 and y = 6
I think 8 m

Answer:

The value is -6.

Step-by-step explanation:

First, you use subsitution.

4(3) - 3(6)

Then, you multiply.

12 - 18

Do the subtraction and you're left with -6 as your answer.

What is the value of x in the equation 1.5(x +4)-3 = 4.5(x -2)?
3
4
5
9​

Answers

Answer:

Step-by-step explanation:

1.5x + 6 - 3= 4.5x - 9

1.5x + 3 = 4.5x - 9

Bringing like terms on one side

3 + 9 = 4.5x - 1.5x

12 = 3x

12/3 = x

4 = x

Option B is the correct answer

Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. Which weight represents the 65th percentile?
A.82.2 ounces
B.82.5 ounces
C.83.5 ounces
D.83.8 ounces

Answers

Answer:

D.83.8 ounces

Step-by-step explanation:

The z score for 65th percentile = 0.385

Mean weight of 83 ounces with a standard deviation of 2 ounces

The formula for calculating a z-score is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation

x = ??

Hence:

0.385 = (x - 83)/2

Cross Multiply

0.385 × 2 = x - 83

0.77 = x - 83

x = 83 + 0.77

x = 83.77 ounces

Approximately = 83.8 ounces

Answer:

D.83.8 ounces

Step-by-step explanation:

The z score for 65th percentile = 0.385

Mean weight of 83 ounces with a standard deviation of 2 ounces

The formula for calculating a z-score is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation

x = ??

Hence:

0.385 = (x - 83)/2

Cross Multiply

0.385 × 2 = x - 83

0.77 = x - 83

x = 83 + 0.77

x = 83.77 ounces

Approximately = 83.8 ounces

Li counts 203 stars in the sky. The next night, she counts 178 stars. How many stars in all did she see on the two nights?

Answers

Answer:

203 + 178 = 381

Step-by-step explanation:

Answer:

381

Step-by-step explanation:

i added

203

+178

381

NB: NOT HOW I WANTED IT TO TURN OUT

SORRY IF IT'S WRONG

what is the product of 2(-4)

Answers

Answer:

-8

Step-by-step explanation:

First, write it out in standard form:

2 x (-4)

Then multiply!

Answer:

-8

Step-by-step explanation:

it is basically 2 x -4 and a negative times a positive is a negative which makes it -8

Molecules of a toxic chemical eventually decompose into inert substances. Suppose the decomposition time is exponentially distributed with a mean of 1/lambda. The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic. Find the half-life for chemicals whose molecules have an average decomposition time of

Answers

Answer:

a)4.15 years

b)22.18 years

c)188.53 years

d)3027.66 years

Step-by-step explanation:

Formula : [tex]P(X\leq t)=1-e^{\frac{-t}{\lambda}}[/tex]

So, [tex]P(X>t)=1-(1-e^{\frac{-t}{\lambda}})[/tex]

[tex]P(X>t)=e^{\frac{-t}{\lambda}}[/tex]

We are given that The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic i.e. P(X>t)=0.5

So, [tex]e^{\frac{-t}{\lambda}}=0.5[/tex]

Taking natural log both sides

[tex]ln(e^{\frac{-t}{\lambda}})=ln(0.5)\\\frac{-t}{\lambda}=ln(0.5)\\t=-\lambda ln(0.5)[/tex]

a)

[tex]\lambda =6[/tex]

t=-(6) ln(0.5)=4.15 years

b)

[tex]\lambda =32[/tex]

t=-(32) ln(0.5)=22.18 years

c)

[tex]\lambda =272[/tex]

t=-(272) ln(0.5)=188.53 years

d)

[tex]\lambda =4368[/tex]

t=-(4368) ln(0.5)=3027.66 years

?+7,785= $12,603

please help, I'm completely lost.

Answers

Answer:4818

Step-by-step explanation:7785-12603=4818

Answer: 4,818

Explanation: 12,603 - 7,785 = 4,818

Keith 1,342 cupcake rounds to 1,300 and joe 1,347 cupcake rounds to 1,350 who round to the nearest hundred?

Answers

Answer:

Keith

Step-by-step explanation:

When you are rounding to the nearest hundred it would NOT include a tens or ones value. So in this case 1,300 would be correct.

Hope that helps and have a great day!

Golfing
A golfer is aiming for a hole that is 120 feet away and, when he hits the golf ball off the ground, its highest point
reaches 80 feet up in the air
3

Answers

Step-by-step explanation:

Using vertex form of a parabola:

y = a (x − h)² + k

where (h, k) is the vertex.

If we say the vertex is (0, 80), then:

y = a (x − 0)² + 80

y = ax² + 80

The roots of the parabola are (-60, 0) and (60, 0).  If we plug this in:

0 = a (60)² + 80

-80 = 3600a

a = -1/45

Noemi's team's answer is incorrect.

if i get £20 pounds at week and I need £470 pounds how many weeks do I have to save for

Answers

Answer:

23.5 weeks.

Step-by-step explanation:

470/20 is 23.5

Answer:

23.5 weeks or 24 weeks

Step-by-step explanation:

470/20 = 23.5

If you are not rounding to the next week, then its 23.5.

If you are rounding to the next week, then it should be 24.

What is the value of the unknown in the equation 3m + 7 = - 23?

Answers

Answer:

Step-by-step explanation:

3m + 7 = - 23

we pass the -7 to the right with a positive sign

3m = -23 - 7

we perform the sum of negative numbers

3m = -30

we pass the -3 to the right to divide

m = -30/3

we perform the division

m = -10

Please help me. Will give brainliest.

Answers

Answer:

b.)  (6,7)

Step-by-step explanation:

the figure is translated 2 units to the left

The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
(Negative 1) (one-fourth) (Negative 1) (negative 1)
(Negative 1) (one-half) (Negative 1) (1)
(Negative StartFraction 4 over 2 EndFraction) (Three-halves) (Negative two-fifths) (Five-halves)
(Negative three-fourths) (Negative three-fourths) (Negative one-fifth) (One-half)

Answers

Answer:

The Answer Is B

Step-by-step explanation:

-4/5 = -1  (Rounded)

3/5 = 1/2  (Rounded)

-6/7 = -1  (Rounded)

5/6 = 1  (Rounded)

If your looking for the whole thing it would be:

(-1)[1/2](-1)(1) = x

 Your Welcome! <3

The result of which expression B will best estimate the actual product of  (-4/5) × (3/5) × (-6/7) × (5/6).

What are arithmetic operations?

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that the expression is, a product of Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths),

= (-4/5) × (3/5) × (-6/7) × (5/6)

The final result of the given expression is,

=  360/1050

=0.34

The product of the given values in the expression B is obtained as the equivalent expression to the given values.

Thus, the result of which expression B will best estimate the actual product of  (-4/5) × (3/5) × (-6/7) × (5/6).

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simplify 7^6 x 7^5

(A) 49^11
(B) 49^35
(C) 7^11
(D) 7^35

Answers

Answer:

The answer is C) 7^11

What is the m R
(x + 2)°
(3x – 6°
S
Q
P
m If a ray QT bisects ZPQR, what will be the measure of one of the resulting angles?

Answers

(3x-6) that would be the answer for your question

The value of measure ∠RQS would be,

⇒ ∠RQS = 48°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

A ray QT bisects ∠PQR.

Now, We get;

⇒ ∠PQR + ∠RQS = 180°

⇒ (3x - 6) + (x + 2) = 180

⇒ 4x - 4 = 180

⇒ 4x = 184

⇒ x = 46

Thus, The value of measure ∠RQS would be,

⇒ ∠RQS = x + 2 = 46 + 2 = 48°

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Cna someone help me plzz

Answers

It’s the second answer 90 clockwise

blank times blank = 1.5

Answers

Answer:

12

Step-by-step explanation:

Answer:

Your answer is:

1) 0.75  *  2

2) 0.3  *  5

Step-by-step explanation:

Hope any of these helped you : )

A kilometer is 1,000 meters because kilo is a prefix that means 1,000. The prefix mega means 1,000,000 and giga (as in gigabyte) means 1,000,000,000. One byte is the amount of memory needed to store one letter of the alphabet. About how many of each of the following would fit on a 1-gigabyte flash drive?

Answers

Answer: 10 megabytes

10,000 kilobytes

Step-by-step explanation:

answers please.......​

Answers

Answer:

$69.375

Step-by-step explanation:

To find the total cost: you will add the actual cost of the rug, $64 and the additional shipping and handling cost, $5.375.

[tex]64 + 5.375 = 69.375[/tex]

The total cost of the rug, including shipping and handling is $69.375

Answer:

$69.38

Step-by-step explanation:

64 plus 5 is 69. Add 375 for 69.375. Round the decimal up to get $69.38

Jackson can lay 6000ft of tile in 3 hours.
What is Jackson's rate?
A.200ft/h
B.1500ft/h
C.2000
D.18000f/h

Answers

Answer:

It's 2000ft/h

Step-by-step explanation:

6000/3 = 1 hour rate

2000 ft/hr

6000/3 is 2000

Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 12 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Charles, Margaret, and Sean are chosen?

Answers

Using the combination formula, it is found that the probability that you, Charles, Margaret, and Sean are chosen is:

[tex]p = \frac{1}{495}[/tex].

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 people will be chosen from a set of 12, hence the number of ways to choose them is:

[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]

The desired combination is only one, hence the probability is:

[tex]p = \frac{1}{495}[/tex].

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why does the graph of a proportional relationship must pass through the origin (0,0)

Answers

Answer:

Directly proportional relationships always pass through the origin (0,0). There are other linear relationships that do not pass through the origin.

The graph of a proportional relationship must pass through the origin (0,0). Because of the value of k, the ordered pair (0, 0) satisfies this equation.

What is a graph?

The relation between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of some points and connecting lines. It doesn't matter how long the lines are or where the points are located. A node is specified for each element in a graph.

A ray is used to describe any proportional relationship using an equation of the form y = kx. The ordered pair (0, 0) satisfies this equation regardless of the value of k, hence the ray or line must traverse the origin.

Thus, the graph of a proportional relationship must pass through the origin (0,0). Because of the value of k, the ordered pair (0, 0) satisfies this equation.

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8 less than the product of 7 and -10.
The expression is
The value of the expression is 1

Answers

Answer:

um i dunna

Step-by-step explanation:

uuuuhhghhhh

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