(x+1)² using identity





please help on this question
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The expression we get from the given functions r and s defined for all real numbers x.

r( s(-3))= -38

Given that,

All real numbers x are defined by the functions r and s.

r(x) =2x+1

s(x) =-2x²-2

We have to find the expression

r( s(-3))

Take the functions,

r(x) =2x+1

s(x) =-2x²-2

Now, Take

r( s(-3))

Substitute s function first

r(-2(-3)²-2)

r(-2(9)-2)

r(-18-2)

r(-20)

Now substitute r function

2(-20)+2

-40+2

-38

Therefore, The expression we get from the given functions r and s defined for all real numbers x.

r( s(-3))=-38

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f(2) = -4

Step-by-step explanation:

f(2) = 3^2-13

f(2) = 9-13

f(2) = -4

The term is tn=-3n+11

From the question, we have

The sequence is 8, 5, 2, –1, –4, ...

d = 5-8 = -3

t1 = 8

tn = t1+(n-1)d

tn=8+(n-1)(-3)

tn=8-3n+3

tn=-3n+11

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts,

Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting

Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

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Answer: Possible Answers:

x2+x−12=0

x2−x−12=0

x2+3x−4=0

2x2+2x−6=0

x2−4x−3=0

Step-by-step explanation: youer welcome

The equation in slope-intercept form is y = 85x - 43

The given parameters are

A linear equation is represented as

y = m(x - X) + Y

Where m is the slope

Substitute the known values in the above equation

So, we have the following equation

y = 85(x - 0) - 43

Evaluate

y = 85x - 43

Hence. the linear equation is y = 85x - 43

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Answer:

because u can't predict the days rain will fall so u can say it will fall in ratio 0:4

The hourly rate that the business owner should pay the employees to obtain the desired net income of $40,000 is of:

$17.

The net income is calculated as the subtraction of the total income by the expenses.

In the context of this problem, the expenses are given as follows:

Hence the expression for the net income is given as follows:

110000 - [10800 + 2400 + 1800 + 1500 + 250 + 3(1040x)] = 40000

93250 - 3120x = 40000

3120x = 53250

x = 53250/3120

x = $17 an hour.

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Answer:

78

exclamation is that if 50 is lower than 60 which it is meaning that 78 is the correct answer if you multiply 18 + 34 that is not the right answer but there should be a right answer under this question you shouldn't trust me because I do not give a what the answer is I do not suggest you write down this answer but you do your top G

The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.

To keep your bill at $50 or lower for the month, you need to set up an inequality using the cost function C(x):

C(x) = 40 + 0.20(x - 60)

Since you want to keep the cost at or below $50, the inequality is:

C(x) ≤ 50

Now, substitute the expression for C(x) into the inequality:

40 + 0.20(x - 60) ≤ 50

40 + 0.20x - 12 ≤ 50

0.20x + 28 ≤ 50

Now, isolate the term with "x" on one side by subtracting 28 from both sides:

0.20x ≤ 50 - 28

0.20x ≤ 22

Finally, divide both sides by 0.20 to solve for "x":

x ≤ 22 / 0.20

x ≤ 110

The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.

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Answer:

210

Step-by-step explanation:

200 × (5% + 1)

=200 × (0.05 + 1)

=200 × 1.05

=210

yan po hope it helps

Answer:

Step-by-step explanation:

1. Ok. Probability is something out of all. Add to get the bottom base of the probability.

3+4+5= 12

2. Probability is something out of something so 3 navel oranges can be represented out of 12 oranges.

3 out of 12

3. Make as fraction:

3 out of 12=

3/12=

1/4 or 25 Percent!

Answer: 1/4 or 25% ( If wanted as Percent)

Answer:

1/4

Step-by-step explanation:

Number of navel oranges = 3.

Number of mandarin oranges = 5.

Number of Valencia oranges = 4.

Let N be an event that Diana selects navel orange.

The total number of oranges Diana has:

n(T)=3+5+4=12n(T)=3+5+4=12

Number of navel Oranges is:

n(N)=3n(N)=3

The probability that Diana selects a navel orange is:

P(N)=n(N)n(T)=312=14P(N)=n(N)n(T)=312=14

Hence, the probability that Diana selects a navel orange is 1414.

The equation of the line with coordinates (-7,3), (8,3) is y-3=0 as the slope of line is 0 because x-ordinate is same in both the points.

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

The two point form of equation,

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(3-3)/(8--7)

m=0

y-3=0(x+7)

y-3=0

Because the x-ordinate is the same at both points, the equation for the line with coordinates (-7,3) and (8,3) is y-3=0.

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Answer:

Step-by-step explanation:

the answer is D i'm pretty sure

Answer:

Step-by-step explanation:

540x0.30=378

378x0.08=30.24

378+30.24=408.24

The equation of line in the given graph with coordinate points (2,-2) and (-3,-6) is 4x-5y=18.

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept. Linear equations are classified into three types: point-slope, standard, and slope-intercept. The equation of a two-dimensional line is ax+by=c; it is fair to predict that the equation of a three-dimensional line is ax+by+cz=d; reasonable, but incorrect—it turns out that this is the equation of a plane. A plane, unlike a line, does not have a clear "direction."

Here,

The coordinates of line will be (2,-2) and (-3,-6).

slope m=(-6-(-2))/(-3-2)

=-4/-5

=4/5

(y-y1)=m(x-x1)

y+2=4/5(x-2)

5(y+2)=4(x-2)

5y+10=4x-8

4x-5y=18

4x-5y=18 is the equation of the line in the given graph with coordinate points (2,-2) and (-3,-6).

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The simplest form of fraction (1/4)/5 is 1/20.

A quotient is the simplest  or resultant value of division of two numbers. In two numbers, one number is dividend and another number is divisor,

quotient=dividend/divisor

The simplest form for fraction (1/4)/5,

(1/4)/5=1/(4×5)

         = 1/20

So, the simplest form of (1/4)/5 is 1/20.

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Answer:

10

Step-by-step explanation:

Round 492 to 500, then estimate 500/50

Check the picture below.

Answer:

Step-by-step explanation:

so what is the difference from 1/4 to 5/8 ?   is the question

2/8=1/4

5/8-2/8 = 3/8

9 gallons of fuel fill 3/8 of the tank

since 3/8 is 9 gallons we can see that 1/8 will be 3 gallons or 9/3=3

then multiply 3 gallons by the 8 parts for the whole tank

3*8=24 gallons.

Than tank can hold 24 gallons

Answer:

I hope that the picture below helps.

Step-by-step explanation:

Using mathematical permutation, there 30240 number of 10-letter words that can be formed from the arrangement of letters cbqgvlbbgc

Permutation is simply the manner of arrangement or selection of elements.

We shall calculate for the permutation of the letters cbqgvlbbgc as follows:

There are total of 10 letters

c = 2

b = 3

g = 2

q = 1

v = 1 and,

l = 1

permutation of cbqgvlbbgc = 10!/(2! × 2! × 3!)

permutation of cbqgvlbbgc = (10 × 9 × 8 × 7 × 6 × 5 × 4 × 3!)/(2! × 2! × 3!)

dividing common factors of the numerator and denominator, we have

permutation of cbqgvlbbgc = 10 × 9 × 8 × 7 × 6 × 5

permutation of cbqgvlbbgc = 30240

Therefore by permutation, we derived 30240ways 10-letter words can be arranged from the letters cbqgvlbbgc.

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Answer:

279

Step-by-step explanation:

The player ran 60 yards on the football field

A football field measures a length of 100 yards, using subtraction the required dimensions are calculated

The player started form 20 yards line to 20 yard of the other end of the field

The player did not ran the initial 20 yards and the finial 20 yards

this added to give 40 yards

Length covered by the player

100 yards - 40 yards =  60 yards

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The radius of the tire is 1.17 yards.

According to the question,

We have the following information:

A tire could roll 200 yards in 27.28 revolutions.

We know that the tire is in the shape of a circle.

We also that the following formula is used to find the circumference of the circle:

2πr where r is the radius of the circle

Now, we have the following expression:

2πr*27.28 = 200

54.56πr = 200

r = 200/54.56π

r = 200/54.56*3.14

r = 200/171.32

r = 1.17 yards

(The unit of the radius will remain same as that of the distance given.)

Hence, the radius of the tire is 1.17 yards.

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Answer:

(- 12, 10 )

Step-by-step explanation:

2x + 4y = 16 → (1)

- 2x - 3y = - 6 → (2)

add (1) and (2) term by term to eliminate x

0 + y = 10

y = 10

substitute y = 10 into (1) and solve for x

2x + 4(10) = 16

2x + 40 = 16 ( subtract 40 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

solution is (- 12, 10 )

Answer:

(- 12, 10 )

Step-by-step explanation:

mark the person above me as brainliest

Slope: -1/9

Y-Intercept: 2

Answer:

You take a pencil and slowly go across the graph from left to right.  If any two points are under the pencil at any one time, the relations is not a function.  For a relations to be a function, every input must have only one output, so there will be no two points graphed vertically on top of each other.

Step-by-step explanation:

By using trignometry we got the side p as 6.67

Use the cosine rule of trignometry to find side p

p² = r² + q² - 2rqcosP

To find the angle of p we will simply subtract angle R and angle Q from 180.

180 - 47.28 - 40 = 92.72

p² = 8² + 7² + 2(8)(7)cos(92.72)

p² = 107.685

p = √107.685

p = 10.38

Let's suppose that the shortest distance of R from PQ is .

look at the diagram I gave

since the line I made makes a right angled triangle, we can use SOH CAH TOA

for the angle 40,  is opposite and 10.38 is hypotenuse

which means we will have to use SOH

sin40 = O/H

sin40 =x /10.38

0.6428 = x/10.38

0.6428 × 10.38 = x

x = 6.67

Hence, by using trignometry we got the side p as 6.67

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Disclaimer,

The given question is incomplete, the answer is done based upon a similar question. The question is given in the image attached.