Expand (2x + 3)^5 using the Binomial Theorem and Pascal’s triangle. Show all steps.

Answer:

X=(-3)

Step-by-step explanation:

1.Subtract 8 from both sides of the equation.-(x+0)=5-8-the 0 is there because the 8 on the left side is canceled out.

2.5-8 is all you have to look at.-when you look at this you know that it will be negative because 8 is on the right of the minus sign and it is greater than 5.

3.Use a calculator or you fingers to find answer.-(4,3,2,1,0,-1,-2,-3)

HOPE THIS HELPS!!!

Answer:

the twice as number increased by 4 is at least 10 more than a number .

2x + 4 ≥ x + 10

x ≥ 6

Step-by-step explanation:

Mark Brainliest

Answer:

2n+4 >= 10 + n

Step-by-step explanation:

solve for n , but remember the rules of dealing with inaqualities

Answer:

The speed increases (45—>47—>49) then decreases (48—>47) over time.

Step-by-step explanation:

HOPE THIS HELPED ✨

Answer: The speed increases (45—>47—>49) then decreases (48—>47) over time.

Answer:

Step-by-step explanation:

a=2a/3. ✌️

Answer: $98,835.

Step-by-step explanation:

Given: Annual profit at a chain of stores is normally distributed with a mean ([tex]\mu[/tex]) of $61,000 and a standard  deviation([tex]\sigma[/tex]) of $23,000.

Let [tex]x[/tex] denoted the profit.

Let [tex]x_0[/tex] be the minimum profit required to have a party.

The stores in the top 5% (i.e. 0.05) of annual profit were rewarded with a celebration.

i.e. [tex]P(x>x_0)=0.05[/tex]

[tex]\Rightarrow\ P(\dfrac{x-\mu}{\sigma}>\dfrac{x_0-61000}{23000})=0.05\\\\\Rightarrow\ P(z>\dfrac{x_0-61000}{23000})=0.05\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\\Rightarrow\ \dfrac{x_0-61000}{23000}=1.645\ \ [\text{critical z-value for p-value 0.05=1.645}]\\\\\Rightarrow\ x_0-61000 =1.645\times 23000\\\\\Rightarrow\ x_0-61000 =37835\\\\\Rightarrow\ x_0=37835+61000\\\\\Rightarrow\ x_0=98835[/tex]

Hence, the annual profit required to have a party was $98,835.

Answer:

0

Step-by-step explanation:

The answer is 0.01424, but if you round it to the nearest tenth, you would end up with 0.

Answer:

x=-4

Step-by-step explanation:

You wrote the answer in the question, so there is really no question.

How it helps :)

Answer:

$0.1 /lb.

Step-by-step explanation:

First, divide 1.99 by 19. You get 0.1047368421. To round it to the nearest hundred, look to the number 3 points away from the decimal, which is number 4. Since it is not 5 or greater, we round it down, and it would round down to 0.1.

Answer:

= 6.2g+9

Step-by-step explanation:

Answer:

1. 10d + 5n = 85

2. look at graph  or graph coordinates (0, 17) and (8.5, 0) and make a line through them

3. 17 nickels since its only nickels, on the graph you see where the line hits the y-axis which is 17.

4. 8.5 dimes since its only dimes, on the graph you see where the line meets the x-axis which is 8.5

Step-by-step explanation:

y-axis is nickels

x-axis is dimes

Answer:

y intercept is -3

slope is 4

y=4x-3

Step-by-step explanation:

Answer:

(3x - 3)(x + 2)

Step-by-step explanation:

3x^2 + 3x - 6

(3x^2 + 6x)(-3x - 6)

3x(x + 2) -3(x + 2)

(3x - 3)(x + 2)

Answer:

M= 3

Step-by-step explanation:

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Answer:

y+5 =3(x-5)

Step-by-step explanation:

The point slope form of an equation is : y-y₁ = m(x-x₁)

Given in the question ;

x₁= 5

y₁ = -5

y= 3x+3 where m=3

The equation is :

y-y₁ = m(x-x₁)

y--5 =3(x-5)

y+5 =3(x-5) ----equation of the line in point-slope form.

Answer:

15

Step-by-step explanation:

First you would plug in the 4 and 1/2 in the x and y's places, making the expression (4 - 2 (1/2))*(4 + 2 (1/2). Then you solve (below).

(4 - 2 (1/2))*(4 + 2 (1/2)

(4 - 1)*(4 + 1)

(3)*(5)

15

Hope this helped! If you have any questions, feel free to message me :)

Answer:

$2.24 per Gallon

Step-by-step explanation:

36.96 divided by 16.5 is 2.24, then to check that multiple 2.24 by 16.5 and you get the total cost of 36.96. Hope this helps.

Answer:

it would be y=50+25x

Step-by-step explanation:

There is an extra $25 per room, and since we dont know how many rooms she has cleaned, we can use x to represent that amount. So for x amount of rooms, it will be an extra $25

Answer:

c, alternate interior angles theorem

Step-by-step explanation:

if 1 is equal to 3, and 3 is equal to 2 by alternate interior angles theorem, then that should also apply to angle 1.

Answer:

3 - x ≥ 9

Step-by-step explanation:

At least in inequality means greater than or equal to (≥)

Difference in mathematics means subtraction

The difference between a number x and 3

3 - x

is at least nine

3 - x ≥ 9

The inequality for the sentence is

3 - x ≥ 9

Answer:

D. Look for patterns

Step-by-step explanation:

To solve :

Assume number of apples bought = x

Fraction kept = 1/3 of x

Fraction shared = (x - x/3) = (3x - x) /3 = 2x/3

Number of people who shared (2x/3) = 4 with each getting 2

Total number shared = 4 * 2 = 8

Fraction shared = total shared

2x/3 = 8

Multiply both sides by 3

(2x/3) * 3 = 8 * 3

2x = 24

x = 12

Hence, Anne-Marie purchased 12 apples

Answer:

the square root of 2(x^3 * x^2)

Step-by-step explanation:

twice means 2 and product means either division or multiplication (multiplication in this scenario because twice means multiply).  cubed means to the third power

Answer:

x=-6

Step-by-step explanation:

For this equation, when we remove the parenthesis, we get 5-x+6=-7+-3x+6.

Then we simplify both sides of the equation, so we get 11-x=-1-3x. When we separate the numbers and variables, we get -12=-2x. -12/2 = -6.

Answer:

Step-by-4vttbrbwtetbb4tbtb44tny4ny4nyn4tbryn4y

step explanation:

Answer:

No Solutions

Step-by-step explanation:

Step 1:

25 - 2z - 10z = - 3 ( 4z + 8 ) - 1       Equation/Given

Step 2:

25 - 12z = - 12z - 25        Combine Like Terms/Multiply

Step 3:

25 = - 25       Add 12z on both sides

Answer:

No Solutions

Hope This Helps :)

Answer:

4  1/9

Step-by-step explanation:

so if we make the fraction the same having 7 4/9 and 3 1/3

we would then make 1/3 into 3/9 (its the smae thing not simplified)

subtract 7-3=4

4-3=1

and then simplify the fraction

Answer:

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

a is one leg of the right triangle.

b is another left of the right triangle.

c is the hypotenuse of the right triangle.

We use the Pythagorean Theorem to help us solve for missing side lengths of a right triangle.

Answer: m = 10

.........................

Step-by-step explanation:

First, we need to add all the checks and money he has.

295.50

 10.00

   6.25

+________

  3   6  1  . 7 5

Total- $361.75

Now, we have to subtract 5 from this.

361.75

   5.00

-______

3 5 6 . 7 5

The total deposit is $356.75

Answer:

$306.75 is the right answer i just took the test.

Step-by-step explanation:

Take that back, please delete this question.

Answer:

i beleive its b or d

Step-by-step explanation:

mostly b