2x plus 4 in vertex form

Answers

Answer 1

Answer: Vertex form only applies to quadratics. A quadratic is a polynomial with 2 being the largest exponent. I don't see any x^2 term here. Please check the problem to make sure that it's typed correctly.

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The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
I NEED HELP ASAP 35 POINTSIdentify the property that justifies each step asked about in the answer area below. (x + 1)(2+9x) (x + 1) (9x + 2) (9x + 2)(x + 1) Line 1 to Line 2: Line 1: Line 2 to Line 3: Line 2: Answer Attempt 1 out of 2 Line 3: <
8 1/2 is an example of an improper fraction. true or false?
Rearrange 10n=5(k-3) to make k the subject
Find the mean, median, and mode of the data set. Round to the nearest tenth.15, 1, 4, 4, 8, 7, 15, 4, 15, 4, 5Choose one answer.a. mean = 6.8, median = 5, mode = 4 b. mean = 7.5, median = 5, mode = 4 c. mean = 7.5, median = 8, mode =4 d. mean = 6.8, median = 5, mode = 8

Consider the figure above. Starting with the shape in the upper left, identify the figure that has been: -Translated only. -Rotated and translated. -Reflected about the x-axis.

Answers

The figure which is rotated and translated correctly about the x-axis is figure a.

What is graph?

The graph of a function f is that the set of ordered pairs, where\f(x)=y. within the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

How to form graph of function?

We have been given four graphs of a function and first function has coordinates (-5,7) (-2,6) (-7,4) (-4,1) and that we must identify correct reflected graph.

The coordinates of a pure reflected graph are going to be (4,7) (2,4) (5,1) (7,6) which are the coordinates of figure a which is in first quadrant.

Hence the proper reflected graph of function having coordinates (-5,7) (-2,6) (-7,4) (-4,1) is that the graph of coordinates (4,7) (2,4) (5,1) (7,6).

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Answers:

Figure a has been translated only (translated 9 units to the right)

Figure b has been reflected over the x axis

Figure c has been rotated and translated

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Explanation:

Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.

Figure b is a result of reflecting over the x axis. The rule used is $(x,y) \to (x,-y)$ . The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)

Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.

Tom took a trip of 1,020 miles . He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph . How many hours did the trip take?

Answers

The number of hours Tom took a trip of 1,020 miles is 3 hours.

Given that, Tom took a trip of 1,020 miles.

What is the speed?

The speedformula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.

Tom traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph.

Let the number of miles travelled by train be x. Then, the number of miles travelled by plane be 1020-x.

Time = x/55 = (1020-x)/285

⇒ 285x = 55 (1020-x)

⇒ 285x = 56100 - 55x

⇒ 285x + 55x = 56100

⇒ 340x= 56100

⇒ x = 56100/340

⇒ x = 165 miles

So, time = 165/55 = 3 hours

Therefore, the number of hours Tom took a trip of 1,020 miles is 3 hours.

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Answer:

He traveled 3 hours by train and 3 hours by plane, so the trip take 6hours.

A spinner has five sections, labeled A, B, C, D, and E. The spinner is spun 84 times, and the results are recorded in the table.What is the experimental probability of the spinner’s landing on A? Round to the nearest percent, if necessary.

Outcome A B C D E
Number of trials 14 20 18 15 17

A.22%

B.20%

C.17%

D.14%.

Answers

The experimental probability is C. 17%.

17% is derived from the following solution.

14/84 = 0.1666
0.1666 * 100% = 16.66% or 17%

This is based on the result of the experiment conducted.

The theoretical probability of A is 20%.

1/5 = 0.20
0.20 x 100% = 20%

A is only one event out of 5 letters.

Answer:

C.17 percent

Step-by-step explanation:

24 cups in how many quarts

Answers

1 quart = 4 cups
6 quarts = 24 cups
Hope this helps :D

1 Quart = 4 Cups
So, 6 Quarts = 24 Cups

If f(x)=log2(x+4), what is f^-1(3)?

Answers

$f\left( x \right) =\log _( 2 ){ \left( x+4 \right) } \n \n \log _( 2 ){ \left( x+4 \right) } =y\n \n { 2 }^( y )=x+4$

$\n \n x={ 2 }^( y )-4\n \n \therefore \quad { f }^( -1 )\left( x \right) ={ 2 }^( x )-4\n \n \therefore \quad { f }^( -1 )\left( 3 \right) ={ 2 }^( 3 )-4=4$

The value of f^-1(3) is 4

What are inverse functions?

The inverse of a function f(x) is the opposite of the function

How to determine the inverse function?

The functionf(x)is given as:

$f(x) = log_2(x + 4)$

Express f(x) as y

$y = log_2(x + 4)$

Swap the positionsof x and y

$x = log_2(y + 4)$

Express as exponents

$2^x = y + 4$

Make y the subject

$y = 2^x - 4$

Express the equationsas an inverse function

$f^(-1)(x) = 2^x - 4$

Substitute 3 for x in the above equation

$f^(-1)(3) = 2^3 - 4$

Evaluate

$f^(-1)(3) = 4$

Hence, the value of f^-1(3) is 4

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Which equation has the same soultions as x^2+6×-7=0

Answers

$x^2+6x-7=0 \n a=1 \n b= 6 \n c=-7 \n \n \boxed{\boxed{\Delta=b^2-4ac}} \n \n \Delta=6^2-4*1*(-7) \n \Delta=36-(-28) \n \Delta=64 \n \Delta\ \textgreater \ 0 \Rightarrow \text{we have 2 solutions :} X_1 \ and X_2 \n \n \boxed{X_1= (-b- √(\Delta) )/(2a) } \Rightarrow X_1= (-6-8)/(2)=-7 \n \n \boxed{X_2= (-b+ √(\Delta) )/(2a) } \Rightarrow X_2= (-6+8)/(2) =1$

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