Evaluate 6a-b^2/2 + (b/a)^2 if a = 2 and b = 4.

2
6
10.25
36

Evaluate 6a-b^2/2 + (b/a)^2 If A = 2 And B = 4.2610.2536

Answers

Answer 1

[tex] \frac{6a - {b}^{2} }{2} + \binom{b}{a} ^{2} [/tex]

a=2 b=4

[tex] \frac{6(2) - {4}^{2} }{2} + \binom{4}{2}^{2} [/tex]

[tex] \frac{12 - 16}{2} + \frac{16}{4} [/tex]

[tex] \frac{ - 4}{2} + 4 [/tex]

[tex] - 2 + 4 = 2[/tex]

answer is option a 2

please mark this answer as brainlist


Related Questions

PLEASE HELP ME WITH THIS GEOMETRY ASSIGNMENT!! WILL GIVE BRAINLIEST ANSWER!!!!!

Answers

Answer:

im pretty sure your answer is correct :)

Step-by-step explanation:

Answer:

line [tex]l[/tex]

The length of JM is 9.

Step-by-step explanation:

Since JM ≅ MK then we can form the following:

[tex]JM=MK\\JM=3x+15\\MK=8x+25\\\\3x+15=8x+25\\15=5x+25\\-10=5x\\-2=x\\x=-2\\\\JM=3x+15\\JM=3(-2)+15\\JM=-6+15\\JM=9[/tex]

How did Srinivasa ramanujan religion create a clash when he worked with G.H hardy

Answers

In his notes, Hardy commented that Ramanujan had produced groundbreaking new theorems, including some that "defeated me completely; I had never seen anything in the least like them before" and some recently proven but highly advanced results.

Lyndsey has 4 ½ cups of ice cream and wants to give each child at the shelter ½ cup of ice cream. How many children can she serve?



A.4


B. 5


C. 8


D. 9

Answers

Answer:

d

Step-by-step explanation:

2 halfs for each cup and the extra 1 equals 9 total

Answer:

9 children.

Step-by-step explanation:

4 1/2 / 1/2

= 9/2 / 1/2

= 9/2 * 2

= 18/2

= 9.

Solve 3x+4/2-6x = -2/5

Answers

Answer:

Exact form:

x = 4/5

Decimal Form:

x = 0.8

Step-by-step explanation:

Which set of numbers are imaginary numbers?

Answers

Answer:

Step-by-step explanation:

Imaginary. Imaginary numbers are numbers whose squares are negative. They are the square root of minus one, i = √−1, and all real number multiples of i, such as 2i and i√2.

The required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.

To determine from the options the set of imaginary numbers.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
imaginary number are the number such square root of negative numbers,
So, the set of imaginary numbers is  √-1, √-4, √-5.
While all other set are given are not set of imaginary numbers.

Thus, the required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.

Learn more about the number system here:

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Given:
A6, 4), M(8, 1)
Find: B

Answers

Answer:

Coordinates for B= (10,-2)

Step-by-step explanation:

The solution is shown in the image provided step by step, as it was not possible typing it on this given space here. Hope it helps :)

7(3w-3)=-12
HURRY PLEASE

Answers

Answer:

3/7

Step-by-step explanation:

21w - 21 = -12

21w = -12 +21

21w = 9

w = 9/21

i.e w= 3/7

Step-by-step explanation:

21w-21= -12

21w= -12 + 21

w=9/21

Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?

Answers

Answer:

y = -6/x

Step-by-step explanation:

Inverse variation equation:

y = k/x, where k - coefficient

We have:

x = 6, y = -1

Work out the value of k by substituting the values of x and y:

-1 = k / 6k = -1*6k = -6

The equation is:

y = -6/x

Answer:

y = -6/x

Step-by-step explanation:

y varies inversely as x

So, y = k/x, where k is the constant of proportionality.

If y = -1 when x = 6,

Then, -1 = k/6 ===> k = -6

Therefore, y = -6/x

Mike weights 200 pounds and plans to lose 1.5 pounds a week. Jeff weights 180 pounds and plans to lose 0.5 pounds a week. When mike and Jeff weigh the same?

Answers

they will weigh the same at 11.5 weeks

Answer:

20 weeks

Step-by-step explanation:

200-1.5w=180-0.5w

You can double-check by substituting 20 for w (weeks), if it is equal, then the equation is correct.

A shirt and pants have a combined cost of 78 dollars. The shirt costs 15 dollars less then the pants. How much does each item cost

Answers

Answer:

The shirt is $31.50 and the pants are $46.50

Step-by-step explanation:

Let x represent the cost of the pants.

If the shirt is 15 dollars less than the pants, its cost can be represented by x - 15.

Create an equation, and solve for x:

(x) + (x - 15) = 78

2x - 15 = 78

2x = 93

x = 46.5

So, the pants are $46.50.

Subtract 15 from this to find the cost of the shirt:

46.50 - 15

= 31.50

The shirt is $31.50 and the pants are $46.50

6 + 4w = 2w − 6
Solve for W

Answers

Answer: w= -6

When we subtract 2w from both sides we get 2w on the left and 0 on the right. The equation becomes 6+2w=-6. Then we subtract both sides by 6 making it 2w=-12 and when we divide each side by 2 we get w=-6

Answer:

W=-6

Step-by-step explanation:

6+4w=2w-6

Collect Terms

4w-2w=-6-6

2w=-12

now divide both sides by 2

2w/2=-12/2

w=-6

by selling a cycle for rs 2250 ,the man loses rs 50 ,at what prize he sell to make a profit of rs 80?​

Answers

Answer:

SELLING PRICE OF CYCLE = 2250RS

LOSS MAN SUFFERED = 50RS

Step-by-step explanation:

COST PRICE = SP + LOSS

CP = 2250 + 50

CP = 2300 RS

FORMULA OF PROFIT = SP - CP

TO MAKE PROFIT OF 80 RS

80 = SP - 2300

 SP = 2380 RS

HE SHOULD SELL THE CYCLE AT 2380 TO MAKE PROFIT OF 80 Rs

                                          Thank you

                           PLEASE MARK AS BRAINLIEST

Answer:

rs 2380

Step-by-step explanation:

→ Add rs 50 to the selling price to not make a profit or loss

2250 + 50 = 2300

→ Add rs 80 to the answer above

80 + 2300 = 2380

Write the perimeter of the rectangle in simplest form

Answers

Answer:

6v+16

Step-by-step explanation:

2(2v+13) + 2(v-5) > 4v+26+2v-10 > 6v+16

Answer:

Perimeter is 6v + 16

Step-by-step explanation:

Perimeter formular of rectangle:

[tex]{ \sf{perimeter = 2(length + width)}} \\ { \sf{p = 2(l + w)}}[/tex]

length is (2v + 13)

width is v - 5

[tex]{ \sf{p = 2 \{(2v + 13) + (v - 5) \}}} \\ { \sf{p = 2 \{(2v + v) + (13 - 5) \}}} \\ { \sf{p = 2(3v + 8)}} \\ { \sf{p = 6v + 16}}[/tex]

find the coordinates of the points of intersection of the line 2x+3y+2=0 with the curve 2xy=-1

no spam plz fast

Answers

Make y the subject of the curve equation
y = -1/(2x)
Substitute for y in the line equation
2x +3(-1/2x) + 2 = 0
Multiply every term by 2x
4x^2 - 3 + 4x = 0
4x^2 + 4x - 3 = 0
(2x - 1)(2x + 3) = 0
If 2x - 1 = 0 then
2x = 1
x = 1/2
y = -1/(2 x 1/2) = -1

If 2x + 3 = 0 then
2x = -3
x = -1.5
y = -1/(2 x -1.5) = -1/3

The points of intersection are (1/2, -1) and (-1.5, -1/3)

Sorry about the mixture of fractions and decimals ;)

The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of lines are,

⇒ 2x + 3y + 2 = 0

⇒ 2xy = - 1

Now,

Since, The equation of lines are,

⇒ 2x + 3y + 2 = 0  ..(i)

⇒ 2xy = - 1   ..(ii)

From (ii);

⇒ 2xy = - 1

⇒ x = - 1/2y

Put above value in (i), we get;

⇒ 2 × - 1/2y + 3y + 2 = 0

⇒ - 1/y + 3y + 2 = 0

⇒ - 1 + 3y² + 2y = 0

⇒ 3y² + 2y - 1 = 0

⇒ 3y² + 3y - y - 1 = 0

⇒ 3y (y + 1) - 1 (y + 1) = 0

⇒ (3y - 1) (y + 1) = 0

⇒ y = 1/3

And, y = - 1

So, The value of x is,

⇒ x = - 1/2y

⇒ x = - 1/2 × - 1

⇒ x = 1/2

And, x = - 1/2 × 1/3

⇒ x = 1/6

Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)

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if it takes 10 men 10 days to dig a hole how long will it take 5 men to dig a hole that's half as big

Answers

Answer:

10 days

Step-by-step explanation:

It will take 10 men 5 days to dig a hole half as big.

It will take 5 men 10 days to dig a hole half as big.

( Remember, the less people, the more time it will take. )

Answer:

10 men can dig 1 hole in 10 days

How long for 5 men to dig ½ hole?

The ratio to be concerned with is

(number of people / number of holes) =  10 days

5 people digging  ½ hole will take 10 days.

Go here: http://www.1728.org/puzzle.htm

See puzzle #3

Step-by-step explanation:

I need help with this question

Answers

Answer:32 feet

Step-by-step explanation:

Math For test help plz due in 45 mins

Answers

It is the third option

[tex]\huge{\underline{\underline{\mathfrak{\red{Answer}}}}}[/tex]

3rd one✓✓

4z - 15 = 4z + 11
How do you solve this?

Answers

Answer:

no solutions

Step-by-step explanation:

4z - 15 = 4z+11

Subtract 4z from each side

4z-15-4z = 4z+11-4z

-15 = 11

This is not a true statement so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

4z-15=4z+11  Subtract 4z from both sides.

-4z      -4z

-15=11             This statement is not true; therefore, there are no solutions.

Hope this helps you out! Have a wonderful day (。・∀・)ノ゙

Please help its due in 30 minutes will mark braniliest

Answers

Answer:

a point

Step-by-step explanation:

because it really seems like a point I dunno

An unknown polynomial is added to the expression -3x³ + 2x – 5 and the resulting sum is 4x³ + 7x² – 3. What is the unknown polynomial?

Answers

The first polynomial is:

-3x³ + 2x – 5

Then we add a polynomial p(x) and we get:

-3x³ + 2x – 5 + p(x) = 4x³ + 7x² – 3

We will find that p(x) = 7x³ + 7x² - 2x + 2

Now let's see how we got it:

Notice that the degree of the polynomial does not change, so p(x) is a polynomial of degree 3.

Then we can write:

p(x) = ax³ + bx² + cx + d

Then we have:

-3x³ + 2x – 5 + ( ax³ + bx² + cx + d) = 4x³ + 7x² – 3

(-3 + a)x³ + bx² + (2 + c)x + (-5 + d) =  4x³ + 7x² – 3

Notice that the above inequality should work for every value of x, so the terms with the same exponent must be equal between them:

(-3 + a)x³ = 4x³

bx² =  7x²

(2 + c)x = 0

(-5 + d) = – 3

Now we can remove the variables in all of these equations to get:

(-3 + a) = 4

b =  7

(2 + c) = 0

(-5 + d) = – 3

Now we can solve all of these and find the coefficients of our polynomial p(x).

-3 + a = 4

a = 4 + 3 = 7

a = 7

b = 7

2 + c = 0

c = -2

-5 + d = -3

d = -3 + 5 = 2

d = 2

Then we have:

p(x) = 7x³ + 7x² - 2x + 2

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Please Help I will give brainiest to the one that is honest and right thank you!

Answers

Answer:

1/3

Step-by-step explanation:

I guess it's asking for probability of prime number

so we have 3 card and only one of them is prime (5)

so the answer is 1/3

Answer:

i would say 1/5 because it is between 2 and 12

Step-by-step explanation:

(b) calculate the area of a triangle 7.8 cm 12.8 cm​

Answers

Answer:

49.92 cm²

Step-by-step explanation:

Area of a triangle = base × height ÷ 2

7.8 × 12.8 ÷ 2 = 49.92

EASY MATH ALGEBRA 1 PLEASE HELP

Answers

Answer:

|-x|

Step-by-step explanation:

A reflection across the y-axis means the negative is on the inside: g(-x)

please help i don’t understand

Answers

Step-by-step explanation:

a) given slope=m1=a/3

slope of parallel line=m2=5/6

parallel lines have equal slopes:

m1=m2

a/3=5/6

a=5/6×3

a=5/2

b) m1=a/3

m2=-2/9

lines are parallel:

m1=m2

a/3=-2/9

a=-2/9×3

a=-2/3

c)m1=a/3

m2=6

Slopes are perpendicular:

m1×m2=-1

a/3×6=-1

a×2=-1

a=-1/2

d)m1=a/3

m2=6/7

lines are perpendicular:

m1×m2=-1

a/3×6/7=-1

a×2/7=-1

a=-7/2

Note:if you need to ask any question please let me know.

help me pleaseeeeeee

Answers

it’s b

it has to be 20 c long … kskdhdhiIakakkwdydyxiajajshsuuaisudj

What are the coordinates after a 90 degree clock-wise rotation around the point (1, 4)?

Answers

Answer:

Im pretty sure it's (-4,-1)

Cady found that she uses 1/6 of a roll of paper towels each week. How many rolls of paper towels will she use in 8 weeks?

Answers

Answer:

[tex]1 \frac{2}{6} [/tex]

Step-by-step explanation:

[tex]8 \times \frac{1}{6 } = \frac{8}{6} = 1 \frac{2}{6} [/tex]

please answer this question for me. please help.​

Answers

19 divided by 2 is 9.5 meaning both are 9.5 so 9.5x9.5-9.5=80.75 so that should be ur answer also another way to know if the shape are 9.5 u can multiply9.5x4 and it gives u 38 (we multiply by four cuz that’s how many shapes u have)

The sum of two consecutive even integers is 214. What are the integers?

Answers

Answer:

Let the numbers be a and a + 2

According to question,

a + a + 2 = 214

=> 2a + 2 = 214

=> 2a = 212

=> a = 106

First number = 106

Second number = 108

Step-by-step explanation:

plz mark me brainliest

Answer:

106, 108

Step-by-step explanation:

even numbers

say n, n+2

n+n+2=214

2n=212

n=212/2=106

even numbers are 106 and 108

5xy. √[tex]\frac{25x^2}{y^6}[/tex]

Answers

Answer:

[tex] \frac{25 {x}^{2} y}{729} [/tex]

Step-by-step explanation:

[tex]5xy \times \sqrt{ \frac{25 {x}^{2} }{ {9}^{6} } } [/tex]

[tex]5xy \times \frac{5x}{ {9}^{3} } [/tex]

[tex] \frac{25 {x}^{2} y}{ {9}^{3} } [/tex]

[tex] = \frac{25 {x}^{2}y }{729} [/tex]

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