Please help me only serious answers ☺️

Answer:

( x+3 )² = 7

expand ( x+3 )² : x²+6x+9

x²+6x+9=7

x²+6x+2=0

use a scientific calculator casio mode setup click no 5 , then click 3 input the equation

a = 1

b = 6

c = 2

answer : x = -3+square root 7 or x = -3-square root 7

Answer:

The answer is "Option A"

Step-by-step explanation:

Using the range difference to calculate the maximum and minimum value.

The range of the chinstrap penguins are:  

[tex]R(c) = Max(c) - Min(c) = 13.2[/tex]

The range of the Gentoo penguins are:

 [tex]R(g) = Max(g) - Min(g) = 15.4[/tex]

For point A:

[tex]Max(c) = x\\\\Max(g) = x + 5.8\\\\R(c) = x - Min(c) = 13.2 \to x = 13.2 + Min(c)\\\\R(g) = x + 5.8 - Min(g) = 15.4 \to x = 9.6 + Min(g)[/tex]

equate both of them

[tex]13.2 + Min(c) = 9.6 + Min(g)Min(g) - Min(c) = 3.6[/tex]

It indicates that Min(c) surpasses Min(g), whereas Max(g) exceeds Max (c).

Therefore, the Max is picked for g for all penguins and the minimum is picked for c.    

Range of all penguins [tex]= Max(g) - Min(c) = x + 5.8 - x + 13.2 = 19[/tex]

Therefore, it will be determined as the option.

For point B:

In estimating the range the median height cannot help.

For point C:

In order to calculate the variety, the connection between both the mean height cannot be sued.

Answer:

she will make 78 dollars

Step-by-step explanation:

312 divided by 24 is `13

13 times 6 is 78

Answer:

Option C

Step-by-step explanation:

Barrel (storage container) is enclosed in a small square fence.

Since, barrel is touching the surfaces from four sides of the cylindrical barrel.

Length of each side of the square fence = Diameter of the barrel

                                                                   = 2(radius of the barrel)

                                                                   = 2(1.5)

                                                                   = 3 feet

Perimeter of a square = 4(Side of a square)

                                     = 4(3)

                                     = 12 feet

Therefore, Option C will be the correct option.

Answer:

-6

Step-by-step explanation:

since x = - 5 is < 3

for x < 3,

f(x) = 3x + 9

placing the value of x as - 5

f(x) = 3× (-5) + 9

= -15 + 9

Answer:

16

Step-by-step explanation:

f(x) = (-4 + x)^2

Let x=8

f(8) = (-4 + 8)^2

Parentheses  first

     = 4^2

Then powers

    = 16

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

Background of the Discriminant

The discriminant [tex]b^2-4ac[/tex] applies to quadratic equations when they are organised in standard form: [tex]ax^2+bx+c=0[/tex].

All quadratic equations can be solved with the quadratic formula: [tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex].

When [tex]b^2-4ac[/tex] is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

Solving the Problem

[tex]3x^2+5x=-1[/tex]

We're given the above equation. It hasn't been organised completely in [tex]ax^2+bx+c=0[/tex], but we can change that by adding 1 to both sides to make the right side equal to 0:

[tex]3x^2+5x+1=0[/tex]

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

[tex]D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13[/tex]

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

Answer: 0.0033

Step-by-step explanation:

Let x be a random variable that denotes the weights of cows.

Given: [tex]\mu = 483,\ \sigma=70[/tex]

maximum weight can be hold= 2840 pounds.

Mean weight = [tex]\frac{2840}{5}[/tex] = 568 pounds

The probability their total weight will be over the maximum allowed of 2840

= [tex]P(X>2840)[/tex]

[tex]P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{568-483}{\dfrac{70}{\sqrt{5}}})\\\\=P(z>2.715)\\\\=1-P(z<2.715)\\\\=1-0.9967=0.0033[/tex]

Hence, the required probability = 0.0033

Answer:

pretty sure its positive

Step-by-step explanation:

hope this helps, have  a great day!

Answer:

A is correct

Step-by-step explanation:

if we know that both x and y are positive, they are both going to be negative

and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something

Answer:

[tex]\frac{x}{3} + \frac{1}{1} = \frac{x+3}{3}[/tex]

Step-by-step explanation:

[tex]\frac{x}{3} + \frac{1}{1} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ LCM \ of \ 1 , 3 = 3 \ ]\\\\= \frac{x}{3} + \frac{1 \times 3}{1 \times 3} \\\\= \frac{x}{3} + \frac{3}{3}\\\\=\frac{x+ 3}{3} \\\\[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The exponential decay function is

[tex]v(t)=a(b)^t[/tex] where b, the rate of decay, for us is (1 - .115) and a is the original value of the car which, for us, is 18000. t is the time in years. Using this information to write the equation we need to solve for the value when the car is 10 years old:

[tex]v(t)=18000(.885)^t[/tex] and we sub in 10 for t:

[tex]v(t)=18000(.885)^{10[/tex] which simplifies to

v(t) = 18000(.2947356754) so

v(t) = 5305.24

Answer:

x = 74.4

Step-by-step explanation:

tan = opp/adj

tan42 = 67 / x

x = 67/tan42

use calculator

x = 74.411038493555922

rounded

x = 74.4

Answer:

5

Step-by-step explanation:

Let a = number of pieces of chocolate bought by Amin.

Let b = number of pieces of chocolate bought by Bob.

b = 2a

(a - 3)(b - 3) = 14

ab - 3a - 3b + 9 = 14

a(2a) - 3a - 3(2a) = 5

2a^2 - 3a - 6a = 5

2a^2 - 9a - 5 = 0

(2a + 1)(a - 5) = 0

2a + 1 = 0  or  a - 5 = 0

a = -1/2  or  a = 5

Amin cannot have bought -1/2 pieces of chocolate, so we discard the soluion a = -1/2.

a = 5

Answer: 5

Answer:

The maximum height that the stone reaches is of 26 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

y = -2x2 + 8x + 5

Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]

What is the maximum height that the stone reaches?

y value of the vertex. So

[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]

[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]

The maximum height that the stone reaches is of 26 feet.

Answer:

5/27

30/81 = 10/17

it's just ratios but if you need then vice versa, swap numerator and denominator

Answer:

the person on top is correct :)

Step-by-step explanation:

Answer:

A picture of the graph is attached

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

B) $22 for 4 pounds of cashews.

Step-by-step explanation:

[tex]\frac{5.5}{1}= \frac{22}{4}\\4(5.5)=22\\22=22[/tex]

Answer:

5 grams/metres squared = 50 kg/hectares

Step-by-step explanation:

We need to convert 5 grams/metres squared to kilograms/hectares.

We know that,

1 kg = 1000 g

1 hectare = 10000 m²

So,

[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]

Hence, 5 grams/metres squared = 50 kg/hectares

Answer:

24a²-73ab+24b²

Step-by-step explanation:

(8a - 3b) (3a - 8b) =

24a²-64ab-9ab+24b²

= 24a²-73ab+24b²

Answer:

ok so for g times h you would have to foil it and then you would multiply it by f of X

Answer:

D

Step-by-step explanation:

To find the inverse of a function, first replace f(x) with y.

Next, switch all the x's and y's, and then solve for y.

Finally, replace y with f-1(x).

Answer:

909 and 3267

Step-by-step explanation:

There are a total of 24 possible combinations using these 4 digits. This means that any one of these combinations subtracted from 4310 would be a possible solution. Therefore, we can create the following 2 combinations (below in bold) and subtract them from 4310 to get two possible solutions...

4310 - 3401 = 909

4310 - 1043 = 3267

Finally, we have two possible solutions which would be 909 and 3267

Answer:

97,988.216

Step-by-step explanation:

So, we can find this by using the following formula:

First value(change)^time

We know that the orginal, or first value, is 120,000.

We know that the time interval for this is 8 years, which is our time value.

We know that the decrease in this price is 2.5%. However, this is not our change.

Our change is the 97.5% price that is left.

This makes sense, because you would get a super small price when you use 2.5% as change.

So to sum up what we have done so far:

First value - 120,000

Change - 100%-2.5% = 97.5%. In decimal form: 0.975

Time - 8

So lets plug these into:

[tex]First_.value(change)^t^i^m^e[/tex]

=

[tex]120,000(0.975)^8[/tex]

And remember your order of operations here.

We dont have any equations or expressions inside the parethese, so we can move on to what comes next - exponents.

We have the exponent 8, which is attached to the 0.975.

So in your calculator, take 0.975, and put it to the 8th power.

You should get 0.816651803662261962890625

Lets leave it like this, becuase 120,000 is a very large value, and rounding what you multiply could change what you get in the end.

Now  our equation looks like:

120,000(0.816651803662261962890625)

We have done parethese, exponents - now we have multiplication and division.

We do indeed have this, since 120,000(0.816651803662261962890625) could also be written as:

[tex]120,000*0.816651803662261962890625[/tex]

Now multiplying this you should get:

97,998.216439471435546875

This is where you can round your answer.

I do not know what exactly they want you to round to, so its safe to just round your answer to the hundreths place:

97,998.22

So this is the new price of the car!

Hope this helps!

oh I did a mistake earlier , pardon ^^"

Let price after 8 years be P.

Using the compound interest formula of shrinking principal :-

P = Pₒ( 1 - R/ 100) ᵀ

P = 120, 000 ( 1 - 2.5/ 100)ᵀ

P = 120, 000 { (100 - 2.5)/ 100}ᵀ

P = 120, 000{ 97. 5/ 100 }ᵀ

P = 120, 000 {0. 975 } ⁸

P = 120, 000 { 0. 8166}

P = 97,998.216 $

Since, P is is price after 8 years

The price of the car after 8 years will be 97, 998. 216 $

answer right 2, up 3

any function with the following form is a transformation from f(x) = x²

g(x) = (x – a)² + b

were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.

then for a=2 positive and b=3 positive, we have

right 2, up 3

Answer:

answer right 2, up 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

the formula is C=2√πA

so simplifying that would give us c=2(4π)

simplify again and we get c=8π

Answer:

hiii my pic lol (✿^‿^)(✿^‿^)(✿^‿^)(✿^‿^)

Answer:

No solution

Step-by-step explanation:

15x+5y=20 8-3x

substitute one unknown quantity into the elimination

15x+5(8-3x)=20

solve the equation

nosolution