Given the following functions, find and simplify (f+g)(x).
f(x) = -3x²+x-3
g(x) = x+3

The given equation (x²+6x+13) gives maximum value when the value of x is 13. The correct option will be C.

Substitution is the replacement of a given variable with the numerical values. Substitute all the given values of x in the equation x²+6x+13:

A. x = 6

Substitute the value of x = 6,

x²+6x+13 = (6)²+6×6+13 = 36+36+13 = 85

B. x = -3

Substitute the value of x = -3,

x²+6x+13 = (-3)²+6×(-3)+13 = 9+(-18)+13 = 4

C. x = 13

Substitute the value of x = 13,

x²+6x+13 = (13)²+6×13+13 = 169+78+13 = 260

D. x = 3

Substitute the value of x = 3,

x²+6x+13 = (3)²+6×3+13 = 9+18+13 = 40

260 is greater than all the three other options. Therefore, C is the correct option.

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Answer: 25 inches

Step-by-step explanation:

MB=BM

MB=15

MV=MB+BV

MV=15+10

MV=25 inches

Answer:

Answer to a)

f'(x) = 9 • (4x² + 2x + 3) ^8 • (4x + 2)

https://www.1728.org/chainrul.htm

(scroll to the bottom of that page.)

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

This is a geometric series with first term 7 and common ratio -2/5.

Answer:

15,000 total, 4000 day 1, then 1000 for day 2 thru 12.

The values of the variables in the linear equations are almost constant values.

According to the statement

We have to find that the values of the variables.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The given equations are:

1) r = -29+11

r = -18

2) x  =20-16

x  = 4

3) n = 7-1

n = 6

4) r = -153/9

r  = -17

5) m = -20/2

m = -10

6) m = 12+1

m = 13

7) x  = -13*4

x = -52

8) k = -30+18

k = -12

9) n = 32-15

n = 17

10) x  = -30+15

x = -15.

So, The values of the variables in the linear equations are almost constant values.

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The required measure of 41°C in Fahrenheit is given as 105.8°F.

Temperature is defined as the degree of measure of heat in an object.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Conversion from Celsius to Fahrenheit is given as,

F = (41°C × 9/5) + 32

F = 105.8°F

Thus, the required measure of 41°C in Fahrenheit is given as 105.8°F.

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Answer:

Step-by-step explanation:

b

The slope of the tangent line of the given graph of f(x) is found by the ratio of the rise to the run of the tangent line at x = -2, which gives;

The tangent to a curved graph at a point is given by a line that is perpendicular to the radius of the curve at that point.

The formula that gives the tangent is expressed as follows;

Examination of the graph gives;

The slope at the point x = -2 is positive

The maximum slope from x = -6.5 to x = -1.5 is approximately 3/2 = 1.5

Therefore;

The option that gives the estimate for the slope of the tangent line at x = -2 is therefore;

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Answer:

[tex]2f = 21 - 3d \\ f = \frac{21}{2} - \frac{3}{2} d \\ f = - \frac{3}{2} d + \frac{21}{2} [/tex]

Using a calculator, the linear regression equation is given by:

R(t) = -0.22552t + 10.89293.

The table of values is missing, and the values are as follows:

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, inserting the points (Years since 1970, Record Time), the regression line is given as follows:

R(t) = -0.22552t + 10.89293.

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The solution for v in the equation is v = -48

The equation is given as:

v over 6 minus 3 equals negative 11

Rewrite properly as

v/6 - 3 = -11

Add 3 to both sides

v/6 = -8

Multiply both sides by 6

v = -48

Hence, the solution for v in the equation is v = -48

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Answer: the answer is v=48 hope this helps!!

1. Let's solve for x.

x−2y−z=−6

Step 1: Add 2y to both sides.

x−2y−z+2y=−6+2y

x−z=2y−6

Step 2: Add z to both sides.

x−z+z=2y−6+z

x=2y+z−6

Let's solve for y.

x−2y−z=−6

Step 1: Add -x to both sides.

x−2y−z+−x=−6+−x

−2y−z=−x−6

Step 2: Add z to both sides.

−2y−z+z=−x−6+z

−2y=−x+z−6

Step 3: Divide both sides by -2.

−2y

−2

=

−x+z−6

−2

y=

1

2

x+

−1

2

z+3

Let's solve for z.

x−2y−z=−6

Step 1: Add -x to both sides.

x−2y−z+−x=−6+−x

−2y−z=−x−6

Step 2: Add 2y to both sides.

−2y−z+2y=−x−6+2y

−z=−x+2y−6

Step 3: Divide both sides by -1.

−z

−1

=

−x+2y−6

−1

z=x−2y+6

2.Let's solve for x.

−x+6y−3z=18

Step 1: Add -6y to both sides.

−x+6y−3z+−6y=18+−6y

−x−3z=−6y+18

Step 2: Add 3z to both sides.

−x−3z+3z=−6y+18+3z

−x=−6y+3z+18

Step 3: Divide both sides by -1.

−x

−1

=

−6y+3z+18

−1

x=6y−3z−18

Let's solve for y.

−x+6y−3z=18

Step 1: Add x to both sides.

−x+6y−3z+x=18+x

6y−3z=x+18

Step 2: Add 3z to both sides.

6y−3z+3z=x+18+3z

6y=x+3z+18

Step 3: Divide both sides by 6.

6y

6

=

x+3z+18

6

y=

1

6

x+

1

2

z+3

Let's solve for z.

−x+6y−3z=18

Step 1: Add x to both sides.

−x+6y−3z+x=18+x

6y−3z=x+18

Step 2: Add -6y to both sides.

6y−3z+−6y=x+18+−6y

−3z=x−6y+18

Step 3: Divide both sides by -3.

−3z

−3

=

x−6y+18

−3

z=

−1

3

x+2y−6

Let's solve for x.

2x−11y+5z=−33

Step 1: Add 11y to both sides.

2x−11y+5z+11y=−33+11y

2x+5z=11y−33

Step 2: Add -5z to both sides.

2x+5z+−5z=11y−33+−5z

2x=11y−5z−33

Step 3: Divide both sides by 2.

2x

2

=

11y−5z−33

2

x=

11

2

y+

−5

2

z+

−33

2

Let's solve for y.

2x−11y+5z=−33

Step 1: Add -2x to both sides.

2x−11y+5z+−2x=−33+−2x

−11y+5z=−2x−33

Step 2: Add -5z to both sides.

−11y+5z+−5z=−2x−33+−5z

−11y=−2x−5z−33

Step 3: Divide both sides by -11.

−11y

−11

=

−2x−5z−33

−11

y=

2

11

x+

5

11

z+3

Let's solve for z.

2x−11y+5z=−33

Step 1: Add -2x to both sides.

2x−11y+5z+−2x=−33+−2x

−11y+5z=−2x−33

Step 2: Add 11y to both sides.

−11y+5z+11y=−2x−33+11y

5z=−2x+11y−33

Step 3: Divide both sides by 5.

5z

5

=

−2x+11y−33

5

z=

−2

5

x+

11

5

y+

−33

5

the spaces r meant to be fractions

Answer: Quadrant I

Step-by-step explanation:

Answer:

$1.78

Step-by-step explanation:

You need to multiply!
Do this: $6.14 x 0.29 = 1.7806 (using a calculator.)

Round to the nearest whole number/cent, which will give you $1.78. That is your answer!

The solution to the inequality expression is n < -9

The inequality expression is given as

4n - 6(n + 1) > 12

Open the bracket in the above inequality expression

4n - 6n - 6 > 12

Evaluate the like terms

-2n > 18

Divide both sides by -2

n < -9

Hence, the solution to the inequality expression is n < -9

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Answer:

[tex]1+\cos x[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4cm}\underline{Trigonometric Identities}\\\\$\csc \theta=\dfrac{1}{\sin \theta}\\\\\\\cot \theta=\dfrac{\cos \theta}{\sin\theta}\\\\\\\cos^2 \theta + \sin^2 \theta = 1$\\\end{minipage}}[/tex]

[tex]\begin{aligned}\implies \dfrac{ \sin x}{ \csc x - \cot x} & = \dfrac{ \sin x}{\dfrac{1}{\sin x} - \dfrac{\cos x}{ \sin x}}\\\\& = \dfrac{ \sin x}{\dfrac{1 - \cos x}{\sin x}}\\\\& = \sin x \times \dfrac{\sin x}{1 - \cos x}\\\\& = \dfrac{\sin^2 x}{1-\cos x}\\\\& = \dfrac{1-\cos^2x}{1-\cos x}\\\\& = \dfrac{(1-\cos x)(1+ \cos x)}{1-\cos x}\\\\& = 1 + \cos x\end{aligned}[/tex]

The amount of money on the gift card when Nevaeh received the card = y-intercept of the function = $30.

The starting value/y-intercept of any function is the initial value or the value of y when x is equal to 0.

In the given scenario, the starting value/y-intercept (b), is the amount of money that was on the gift card when Nevaeh received the card.

Given the following:

Rate of change (m) = -3

Find b, y-intercept by substituting a point, (3, 21) and m = -3 into y = mx + b:

21 = -3(3) + b

Add 9 to both sides

21 + 9 = -9 + b + 9

30 = b

b = 30

Therefore, the amount of money on the gift card when Nevaeh received the card = y-intercept of the function = $30.

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By using the given notation and format, we see that the sample space for the experiment is:

( {R, B}, {R, G}, {R, Y}, {B, R}, {B, G}, {B, Y}, {Y, R}, {Y, G}, {Y, G}, {G, R}, {G, B}, {G, Y})

The sample space is the set of the total possible events or outcomes in a given experiment.

Here we have 4 candies and you select two, such that the events have the format:

(C₁, C₂)

For example, if the first candy you draw is red and the second is blue, then the event will be:

(R, B)

Which is different to the event when you first draw blue and then red, which is:

(B, R).

So we just need to write all the possible events, it will give use the sample space:

( {R, B}, {R, G}, {R, Y}, {B, R}, {B, G}, {B, Y}, {Y, R}, {Y, G}, {Y, G}, {G, R}, {G, B}, {G, Y})

Where the notation used is the given one:

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3/4 of the time it takes Maria to do the same job by herself.

A time interval that is equivalent to 60 minutes and one-fourth of a mean solar or civil day.

(a)The situation from 3 to 9 on clock the hour hand turns through 1/2 gives 2/1 of revolution , clockwise.

(b)The situation 4 to 7 on the clock, the hour hand turns through 1/4 gives 4/1 of revolution, clockwise.

(c)The situation from 7 to 10 on the clock, the hour hand turns 1/4 gives 4/1 of revolution, clockwise.

(d) The situation from 12 to 9 on the clock, the hour hand turns 3/4 gives 4/3 of revolution, clockwise.

(e)The situation from 1 to 10 on the clock, the hour hand turns 3/4 gives 4/3 of revolution, clockwise.

(f)The situation from 6 to 3 on clock, the hour hand turns 1/4 gives 4/1 of revolution, clockwise.

1/2*3/2 = 3/4

use keep, flip, change.

Time is the series of events that take place over time, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.

Hence, 3/4 of the time it takes Maria to do the same job by herself.

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Answer:          3/4 is the correct answer because when you solve they give you 3/4

The circle's center is on the x-axis.

Three units make up the circle's radius.

The radius of this circle corresponds to the radius of the circle whose equation is x2 + y2 = 9.

In accordance with the previous sentence, a Cartesian coordinate system in a plane is a coordinate system that uniquely identifies each point by a pair of numerical coordinates, which are the signed distances between two fixed perpendicular oriented lines to the point, measured in the same unit of length;

according to given statement;

Circle's standard equation is written as:

Centre is (-g, -f)

radius = √g²+f²-C

Given a circle whose equation is

Get the center of the circle

2gx = -2x

2g = -2

g = -1

Similarly, 2fy = 0

f = 0

Centre = (-(-1), 0) = (1, 0)

This shows that the center of the circle lies on the x-axis

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9 = 3 units

The radius of the circle is 3 units.

For the circle x² + y² = 9, the radius is expressed as:

r² = 9

r = 3 units

Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

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Answer:

620

Step-by-step explanation:

617 rounded to the nearest ten = 620.

The number 617 when rounded to the nearest ten will be 620.

We examine the digit in the position of the one and decide whether it is closer to the previous ten or the next ten to round a number to the closest ten.

The digit in the ones place for the number 617 is 7. We round up to the next ten since 7 is bigger than or equal to 5, so we do.

The tens digit is raised by one and all the digits to its right are set to zero in order to round up to the following ten.

So, when we round 617 to the nearest tenth, we get 620.

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Answer:

at the end of the day the temperature would be -26° F

Answer:

the answer is 30 yd

Step-by-step explanation:

By using the Pythagorean theorem, both the distance from A to M and the distance from B to M are approximately equal to 8.25 units.

Diameters are line segments whose endpoints lie on the same circumference and whose midpoint is the center of the circle associated to that circumference. In this problem we know the locations of the endpoints (points A and B) and a third point (point M) inside the diameter, and based on all this information we must determine the distances between points A and M and points B and M.

Each case can be found by using the Pythagorean theorem in the following form:

Points A and M

AM = √[[- 5 - (- 3)]² + [- 4 - (- 12)]²]

AM = 2√17

AM ≈  8.25

Points B and M

BM = √[[- 7 - (- 5)]² + [4 - (- 4)]²]

BM = 2√17

BM ≈ 8.25

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Answer: 20

Step-by-step explanation:

its divisible by 5 and it is not even

The total number of possible ways in which the selection can be made is 12650.

We have a  baseball team.

We have to determine in how many ways can the selection be made from 25 students to form a group of 4 students.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

According to the question -

Total number of players in team = 25

Number of players to be selected = 4

The total number of possible ways in which this selection can be made is-

[tex][25]C_{4}[/tex] = [tex]$\frac{25!}{(25-5)!5!}[/tex] = 12650

Hence, the total number of possible ways in which the selection can be made is 12650.

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