Vector v has initial point (-2, -1) and terminal point (8, -5). Write v as a linear combination of the standard unit vectors i and j.

g(x) = 2x² - 3x + 1 =

-2   = 2[tex](x+2)^{2}[/tex]+ 3(x+2) - 1

-2 = 2( [tex]x^{2}[/tex] + 4x + 4) + 3(x+2)  - 1

-2 = 2[tex]x^{2}[/tex] + 8x + 8 + 3x + 6 - 1

-2 = 2[tex]x^{2}[/tex] + 11x + 13

0 = 2[tex]x^{2}[/tex] + 11x + 15

0 = (  2x   +    5  )(kx  +   3   )

2x + 5 = 0 ---> kx= -5/2

x+3=0 ----> x = -3

Recognize that a function is a particular kind of relation where a rule states that every input must be paired with exactly one output.

one of them sums up a function the best?

Recognize that a function is a particular kind of relation where a rule states that every input must be paired with exactly one output. So, this is the best choice.

The function's type is f/x)= 2x 2 + 3x 1.

Explanation: Since the polynomial f(x)=2x33x+1 is continuous and contains continuous derivatives of all orders for all real x, it unquestionably meets the theorem's hypotheses.

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First graph.

A set of ordered pairs is a function if for every x value there is one y value. The set of ordered pairs functions if they pass the vertical line test. If a vertical line is drawn then the line will cut at only one point. In the first graph for all x values we have different y values so the ordered pairs represent a function.

Answer

625.52(pie)

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

Answer:

10 / 3

Step-by-step explanation:

4 divided by 6/5

4 / 6 / 5

4 ÷ 6 / 5

4 × 5 / 6

20 / 6

10 / 3

The value of 4 divided by 6/5 is 10/3 .

Given,

4/ (6/5)

Here,

The whole number is divided by fraction , so the denominator of the fraction will be multiplied from the whole number and the resultant will be divided by the numerator.

So,

4 divided by 6/5

4 / 6 / 5

4 ÷ 6 / 5

4 × 5 / 6

20 / 6

10 / 3

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To develop a table of functions for the values we have

y  = x + 4

x          y

0          4

1           5

2           6

3           7

the ordered pairs (0, 4) (1, 5) (2, 6) (3, 7)

y = 3x - 6

x          y

0          -6

1           -3

2           0

3           3

the ordered pairs (0, -6) (1, -3) (2, 0) (3, 3)

y = x + 4

The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be 4, 5, 6, 7

y = 0 + 4 = 4

y = 1 + 4 = 5

y = 3x - 6

The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be -6, -3, 0, 3

y = 3(0) - 6 = 0 - 6 = -6

y = 3(1) - 6 = 3 - 6 = -3

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The equivalent expression to the dieter's expression which is given as -24/6 is equal to  -(24/6).

Every fraction has three signs: one for the numerator, one for the denominator, and one for the overall fraction.

The fraction will always be negative if one of the numerators or denominators is negative and the other is positive.

It is given that a dieter loses 24 pounds in 6 months.

The dieter represents the average monthly weight loss with the expression -24/6.

We know that,

The negative sign in numerator can be assigned to the overall fraction.

So, we can write the expression (-24)/6 as -(24/6).

Therefore, the expression that is equivalent to the expression the dieter uses is    -(24/6).

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Answer:

b

Step-by-step explanation:

put -2 on x and you will get a value of 1/4

(can use other number on table too but must got the same value of y)

example: use -1 for x and the answer must be 1/2

according to the line of best fit,  the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes

according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?

1 hour = 60 minutes

46 hour = 46*60= 2760 minutes

in one year total number of days =365 days

in 365 days spent on project= 2760 minutes

per day spent on project = 2760/365

                                          = 7.56minutes

Hence  according to the line of best fit,  the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes

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The probability of drawing a winning pair which is a pair with the same color OR same letter 0.9388.

The problem we are dealing with is related to probability which is referred to as Probability is essentially how likely something is to happen. At whatever point we're uncertain approximately the result of an occasion, we will conversation around the probabilities of certain outcomes—how likely they are.

Since we are provided with four red cards and four green cards so, the total possible combination of the  8 cards will be

C(8,2) = 28

out of which  2*C(4,2)=12 are the  pairs of the same color

therefore the probability of picking a pair with the same color OR same letter is

1 - (12*4)/28^2 = 0.9388

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A(7,10) and B(9,-3) are separated by 13.1 units.

How to calculate distance between two points?
The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is sometimes used to calculate the distance between two places.
The distance between two locations on a plane is the length of the line segment connecting them. The following equation is frequently used to determine the separation between two points:
d = √[(x₂-x₁)² + (y₂-y₁)²] -- (i)

Given, the two points are A≡(7,10) and (9,-3)
On comparing A and B with (x₁, y₁) and (x₂, y₂) respectively, we get
x₁ = 7, y₁ = 10,  x₂ = 9, y₂ = -3
Therefore using the formula in (i), we get
Distance between A & B = √[(9-7)²+(-3-10)²] = √173 = 13.15 = 13.1 units

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Answer: 2(2−x)(x−6)

Step-by-step explanation:

Answer:

This graph is not a function

Step-by-step explanation:

Because it fails the Vertical line test

One can find the quotient by dividing the numerators because they are fractions of the same numbers so if you divide the numerator, you will get the quotient

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

For example, 12/16 ÷ 6/16 = 2. Since they've common denominator, this will be = 12/6 = 2. This explains the reason for the statement above.

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Answer:

f

Step-by-step explanation:

find the difference using the number line 3-1

Answer:

22

Step-by-step explanation:

The angles form a linear pair, and thus add to 180°.

[tex]3x+3+5x+1=180 \\ \\ 8x+4=180 \\ \\ 2x+1=45 \\ \\ 2x=44 \\ x=22[/tex]

Answer:

Step-by-step explanation:

She can translate the measurement into metric unit system of "meters" for her and her teacher to understand better.

As per the question statement, Jamie dropped a ball down from a tall building to measure its velocity and the height of the building, and she used a weird measuring tool that gave a measurement the ball traveled "-700" feet.

We are required to provide a solution on how Jamie can translate this measurement so that, she and her teacher can understand it better.

To solve this question, we will simply ignore the "negative" sign that came along with the measurement, and convert the magnitude of the measured value into the metric unit system of meters, using the standard conversion rate of [1 foot = 0.305 meters], i.e.,

700 feet = (700 * 0.305) meters,

or, 700 feet = 213.5 meters.

Hence, the ball travelled 213.5 meters when dropped from the top of building, or, the height of the building is 213.5 m.

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The values of the equations that are given will be:

17. b + 9 and -b + 7

18. c - 4 and c + 4

19. a + b - c and a + b + c

20. 5 + 2b and 5 - 2b

21. 4 - h - b and -b + h - 4

22. 2 - b - 2h and b - 2

Based on the information given, it should be noted that the equations will be expressed thus:

It should be noted that an equation is used to show the relationship between the variables. The equations will be:

17. |b + 1| + 8

= b + 1 + 8

= b + 9

and

|b + 1| + 8

= -b - 1 + 8

= -b + 7

18. 5 - |c + 1|

= 5 - c + 1

= - c + 4

= c - 4

and

5 - |c + 1|

5 + c - 1

= c + 4

19. |a + b|- c

= a + b - c

and

-a - b - c

Multiply through by -

= a + b + c

20. 5 + |2b|

= 5 + 2b

and

5 + |2b|

= 5 - 2b

21. |4 - h| - b

= 4 - h - b

and

-4 + h - b

= -b + h - 4

22. |2 - b - h| - h

= 2 - b - h - h

= 2 - b - 2h

and

-2 + b + h - h

= b - 2

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In this question we have 3 lines, where 2 parallel lines intersect the other.

Now, because the 2 lines are parallel, their corresponding angles are congruent. Therfore, we can derive the equation:

[tex]2x-43 = x+9[/tex]

[tex]2x = x+9+43[/tex]

[tex]2x = x+52[/tex]

[tex]2x-x = 52[/tex]

[tex]x = 52[/tex]

The number of times that 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7 is 400.

T calculate the number of times that 8* 10^- 5 larger than 2 *10 ^-7, then we will need to perform little division operation on the given numbers, since we know that 8* 10^- 5 larger than 2 *10 ^-7, then, the division will be :

( 8* 10^- 5 ) /( 2 *10 ^-7) = 400

This implies that the value of 8* 10^- 5 is  larger than 2 *10 ^-7, in 400 folds.

Therefore, option C is correct.

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Answer:

They are all incorrect except for C

Step-by-step explanation:

A. y = 4

B. y = -2x + 4

D. x = -4

Answer:

57 + 5x < 65

Step-by-step explanation:

57 + 5x < 65

5x < 8

x < 1.6

An installation fee as well as a monthly service cost are charged by two Internet service providers the equation $y=45x+50$. Company A charges less per month then Company B.

Given that,

An installation fee as well as a monthly service cost are charged by two Internet service providers. The table displays the total expenses at Company A in USD for various lengths of time. The equation $y=45x+50$ represents the total cost of $y$ (in dollars) for $x$ months of work at Company B. 

We have to find which company has monthly fees that are lower.

Company A charges =220-180=40

Company A charges $40 per month.

Company B charges $45 per month

Because the slope is 45.

Therefore, Company A charges less per month then Company B.

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Answer:

The domain for this function is all real numbers greater than -2.