what is
f(x)= (x-12)(x+1)
in standard form?

Answer:

1.

= Here,

Narasimha invest = 120,000

Madhu 135,000

pavan =

Answer:

204000 < x < 254000

Step-by-step explanation:

700000 < 496000 + x < 750000

Solve for x by subtracting 496000 from both sides

204000 < x < 254000 ----> so we can conclude that she can spend between $204,000 and $254,000 more and remain within her estimate.

Answer:

false

Step-by-step explanation:

correlation doesn't mean causation-

one doesn't necessarily affect the other, can just be conditions (such as weather) or coincidence

Answer:

D) is your correct answer

Step-by-step explanation:

a)-5x+6=y

b)2x-1=y

c) -3/6x+2=y

Step-by-step explanation:

5x = -y + 6

y = 6-5x

-5y +10x = 5

5y = 10x -5

y = 10x-5/5

y = 2x -1

6y = -3x+12

y = -3x+12/6 = -1/4x +2

Hey there!

40 / 1 + 3 ‐ (3 * 7) + 7 - 5

= 40 + 3 - (3 * 7) + 7 - 5

= 43 + 7 - 5 - 3 * 7

= 50 - 5 - 3 * 7

= 45 - 3 * 7

= 45 - 21

= 24

Answer: 24

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

16 a*a

Step-by-step explanation:

(4a)^2

(4a) (4a)

16 a*a

Answer:

16a²

Step-by-step explanation:

(4a)²

=>(4)² x (a)²

=> 16 x a²

=>16a²

Answer:

(c)

Total number of beads:

(i)

Probability of 2 red:

(ii)

Probability of no 2 red:

Answer:

A. (Pay as you go) $120 B. (Regular deal) $90 C. (All-in-one price!) $100 D. The "Regular deal" option would be the least expensive for Carl.

Step-by-step explanation:

If Carl does the "Pay as you go" option he would be charged $6 each time. If he works out 20 times a month, we can multiply 20 by 6 to get a total of $120 for that option.

If Carl does the "Regular deal" option he would be charged $50 + an additional $2 for each time he works out. From there, we can get the equation 2x + 50 where x is the amount of time he works out. If we plug in 20 for x (as he works out 20 times a month), we get 2(20) + 50 which equals a total of $90 for that option.

If Carl does the "All-in-one Price!" option he would be charged $100 for the whole month meaning he has unlimited use of the gym with no extra charge besides the $100.

The cheapest option is the "Regular deal" option as it charges $90 compared to the $100 for the "All-in-one Price!" option & the $120 for the "Pay as you go" option.

Answer:

It's False Because Hypotenuse will be the longest side of leg here

Answer:

9--7

Step-by-step explanation:

Answer:

3468 children.

Step-by-step explanation:

One apple per person.

Answer:

13

Step-by-step explanation:

78 + b = 91            Equation: Subtract 78 from both sides.

b = 91 - 78            

b = 13

You don't need her position in the game or the fact that 91 placed her second.  

Answer:

4x^2  +3x -7

Step-by-step explanation:

(4x^2 – 2x) + (5x - 7)

Combine like terms

4x^2  -2x+5x    -7

4x^2  +3x -7

( 4x² - 2x ) + ( 5x - 7 )

Now , adding like terms.

4x² - 2x + 5x - 7

4x² + 3x -7

Option ( B ) is the correct answer.

9514 1404 393

Answer:

  +24

Step-by-step explanation:

The number of steps run can be represented by the integer +24.

Answer:

1.5 per hour

Step-by-step explanation:

Answer:

December

Step-by-step explanation:

December:  acoustic/ electric =10/12 = 5/6

January : 13/16

Get a common denominator of 48

5/6 *8/8 = 40/48 for December

13/16 * 3/3 =39/48 for January

December has a higher ratio

Answer:

rent would be cheaper

Step-by-step explanation:

1.50 x 26 = $39 or $48 for a pair

it would be nine dollars cheaper to rent than to buy

Iit would be less if she rent the shoes.

Two or more expressions with an Equal sign is called as Equation.

Given that Madeline is renting bowling shoes for $3.50 every time she goes bowling.

she goes once every two weeks during the year.

In a year there are 52 weeks.

As she is going once every two weeks during the year, so let us divide 52 by 2, 52/2=26

Rent for each bowling is 3.50

So for 26 times it would be 26×3.50

If she goes once every two weeks during the year, then the rent amount will be $91.

As She could get a good pair of bowling shoes for $68.

91 is greater than 68

So, it would be less expensive if she rent the shoes.

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side of cube=5

We know

[tex]\boxed{\sf Side=\dfrac{Diagonal}{\sqrt{2}}}[/tex]

[tex]\\ \sf \longmapsto Diagonal =sude\times \sqrt{2}[/tex]

[tex]\\ \sf \longmapsto Diagonal=5\sqrt{2}[/tex]

[tex]\\ \sf \longmapsto Diagonal=5\times 1.4[/tex]

[tex]\\ \sf \longmapsto Diagonal=7cm[/tex]

Answer:

Hello,

Step-by-step explanation:

[tex]Using\ the\ Pythagorian's\ theorem,\\\\EC^2=EA^2+AC^2\\\\=EA^2+AB^2+BC^2\\\\=3*5^2\\\\EC=5\sqrt{3} \approx{8,660...}[/tex]

Answer:

41+-3=38

the rule in exponent says to subtract and take higher no. sign in addition

=====================================================

Explanation:

Refer to the diagram below. I've drawn diagonal that slopes upward. This diagonal cuts the quadrilateral into two triangles: One is equilateral and the other is isosceles.

The equilateral triangle marked in blue has all three angles 60 degrees each.

Note that the 60 and y angles combined to form 130, so,

60+y = 130

y = 130-60

y = 70

Then focus on the isosceles triangle (angles y, w and w). These three interior angles must add to 180

y+w+w = 180

70+2w = 180

2w = 180-70

2w = 110

w = 110/2

w = 55

This adds onto its adjacent neighbor of 60 to get w+60 = 55+60 = 115 degrees which is the value of x.

Answer:

V = 1/32 yd^3

Step-by-step explanation:

To find the volume

V= l*w*h  where l is length, w is width, and h is height

V = 1/4 * 1/4 * 1/2

V = 1/32 yd^3

For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.

So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6

(2k + 1)x² - 8x + 6 = 0

For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.

For the equation to have two real and equal roots, its discriminant, D = 0.

D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.

So, D =  b² - 4ac

D =  (-8)² - 4 × (2k + 1) × 6 = 0

64 - 24(2k + 1) = 0

Dividing through by 8, we have

8 - 3(2k + 1) = 0

Expanding the bracket, we have

8 - 6k - 3 = 0

Collecting like terms, we have

-6k + 5 = 0

Subtracting 5 from both sides, we have

-6k = -5

Dividing through by -6, we have

k = -5/-6

k = 5/6

So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

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the answer Is found in the question

The least number of buses required for the trip will be 5 buses.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Total number of classes = 9

Number of students in each class = 25

Number of teachers = 4

Number of chaperones = Double of teacher

Bus hold = 45 people

A total number of students.

= 9 × 25

= 225

A number of chaperones.

= 4 × 2

= 8

Total people = 225 + 8 + 4 = 237

Least number of buses required for trip = Total people / Bus hold

= 237 / 45

= 5.266

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Answer:

Step-by-step explanation:

The body of the Cylinder.

Formula

Area of the body = circumference * length

circumference = 2*pi * r

r = 6 m

Circumference = 2 * 3.14 * 6

Circumference = 12 * pi

Area of body = 12*pi * length

area of body = 12*9 * pi

Area of body = 108* pi

Two ends

The diagram is not complete enough to know whether or not there are 2 ends or one. I'll assume 2.

Area = 2 * pi r^2     For both

Area = 2 * pi * 6^2

Area = 72 pi

Total Area

Total area = 72 pi +108 pi

Total area = 180 pi

Total Area = 180 * 3.14

Total Area = 565.2

Answer:

-5.6666.... is a rational number and 3.25 is a rational number but not integer too. the rest you got all right, good job.

hope that answers your question

dont hesitate to comment if you need some explanation about this topic

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

Given the following data:

Translating the word problem into an algebraic expression;

[tex]W = 3 + L[/tex]  ......equation 1

[tex]H = 4 + L[/tex]  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

[tex]Volume = length * width * height[/tex]  .....equation 3.

Substituting the values into equation, we have;

[tex]224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}[/tex]

Rearranging the polynomial, we have;

[tex]L^{3} + 7L^{2} + 12L - 224 = 0[/tex]

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

[tex](x - 3) = 0\\x = 3[/tex]

[tex]P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9) + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0[/tex]

We would try with 4;

[tex]P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16) + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224 - 224 = 0[/tex]

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

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To obtain an estimate of a parameter of a population, we use confidence intervals.

Confidence intervals:

The larger the sample size, the closest the parameter estimate is to the value of the population, as the margin of error of confidence intervals is inversely proportional to the sample size, that is, a greater sample leads to a smaller margin of error.

Thus, you should select the highest sample size in the options.

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