Question 5
Consider the function f and its inverse function g.
Solving for x, the equation f(x) = 6 is equivalent to fitiding which of the following?

Answer:

The greater answer is 650%

Answer:

x = (-3+√15)/2 or, x = (-3-√15)/2

Step-by-step explanation:

2x²+6x-3=0

Standard quadratic formula,

ax²+bx+c = 0

where,

x =(-b±[tex]\sqrt{b^{2}-4ac }[/tex])/2a       ...............................(i)

Here,

a = 2

b = 6

c = -3

Putting the values in equation(i), we get,

x = (-6±[tex]\sqrt{6^{2} -4.2.(-3)}[/tex])/2.2

=(-6 ± √60)/4

=(-6 ± 2√15)/4

= (-3 ± √15)/2

Therefore, x = (-3+√15)/2 or x = (-3-√15)/2 :)

Answer: 25/4

Step-by-step explanation:

2 / 4/5 = 2*5/4 = 25/4

To divide fractions, multiply by the reciprocal of the fraction (flip the numerator and denominator, basically)

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

[tex]2\div \frac{4}{5} =\frac{2}{1}\div \frac{4}{5} =\frac{2}{1}\times \frac{5}{4} =\frac{5}{2}[/tex]

Hope I helped you!

Answer: D, (- 5, 7)

Step-by-step explanation:

Since the transformation is - 2, + 3 we just need to subtract 2 from the x value and add 3 to the y value.

- 3 - 2 = - 5

4 + 3 = 7

- 5, 7

Step-by-step explanation:

1.If the number 1 is:0=4-2y

y=2

2.b=-2

3.n=3

Answer:

y + 4 = 4(x - 2)

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Where m = slope and (x1 , x2) = any given point.

We are given that the equation has a slope of 4 and passes through the point (2,-4)

So m = 4 and (x1,y2) = (2,-4)

We then plug in these values into the point slope form equation to get the answer.

y - y1 = m(x - x1)

m = 4 and (x1,y1) = (2,-4)

plug in values

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

remove parenthesis on "-4" and change sign because the two negative signs cancel out and change into a positive sign

We end up with y + 4 = 4(x-2)

Answer:

Yes.  $21, 165

Step-by-step explanation:

since 385 is greater than 249. as long as theres more than 249

249 x 85 = 21,165

Answer:

No because they only charge 249 unless they hack there bank account........anything is possible.

Step-by-step explanation:

8 x 3 = 24 for should be 24

Only because 8 times larger than three seems like a multiplication problem..

I hope this helps if it is correct!

Answer:

(8+1) x 3 = 27

Step-by-step explanation:

this is correct rather than 8 x 3 = 24 because both sides of 8x3=24 are equal rather than the sum being greater than the statement.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is ~

[tex] \boxed{ \sf{y = \frac{x}{2} + 2 }}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the slope of given line ~

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

here, m = slope ~

I hope it helps ~

Answer:

9 = No

6 = Yes

-4 = Yes

-10 = Yes

Step-by-step explanation:

[tex]-8+4w\leq 16\\\\4w\leq 24\\\\w\leq 6[/tex]

Answer:

3 blocks a minute

Step-by-step explanation:

so if she rides her bike 30 blocks in 10 minutes in means she rides at a pace of 3 blocks a minute

Answer:

I feel like this question would be easier when given a few starting values. I'm sorry man but I've been sitting here for 30 minutes trying to figure this out.

Step-by-step explanation:

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 1 ) and (x₂, y₂ ) = (- 2, 5 )

m = [tex]\frac{5-(-1)}{-2-3}[/tex] = [tex]\frac{5+1}{-5}[/tex] = [tex]\frac{6}{-5}[/tex] = - [tex]\frac{6}{5}[/tex]

Sal can make 10 bracelets

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and trig functions of the acute angles. It tells you ...

  Sin = Opposite/Hypotenuse

  sin(R) = 24/26 = 12/13

and ...

  Tan = Opposite/Adjacent

  tan(T) = 10/24 = 5/12

Answer: SIN = R and TAN = T

Answer:

0

Step-by-step explanation:

f(x)=2x²

s(x)=2(x-3)

Plugging in the numbers, we get:

f(2)= 2 * (2)²

f(2)= 2*4

f(2)= 8

s(-1)= 2*(-1-3)

s(-1)= 2*(-4)

s(-1)= -8

f(2) + s(-1) = 8 - 8 = 0

Answer:

its letter A E D C

Step-by-step explanation:

correct me im wrong

Answer:

rhombus i think

Step-by-step explanation:

Answer:

- 1 2/6 - 1/6

- 1 3/6

-1 1/2

Step-by-step explanation:

Step-by-step explanation:

[tex] = - 1 \frac{1}{3} - \frac{1}{6} [/tex]

[tex] = - 1 + ( - \frac{1}{3} - \frac{1}{6} )[/tex]

[tex] = - 1 + ( - \frac{2}{6} - \frac{1}{6} )[/tex]

[tex] = - 1 - \frac{3}{6} [/tex]

[tex] = - 1 \frac{1}{2} [/tex]

Option → B

Answer:

y= 2

Step-by-step explanation:

Answer:

First is, second is not.

Step-by-step explanation:

Start plugging them!

[tex]-(1) < -(-2) \rightarrow -1 < 2 \\ \\- (-4) < -(2) \rightarrow 4 < -2[/tex]

First one is true, so the pair is a solution.

Second is false, (4 is obviously bigger!) so it's not a solution.

If you end up having to check multiple values, your best bet is to draw the solutions on a convenient plane and see where the points lay

Answer:

The answer is 13/3.

Step-by-step explanation:

8 2/3 is an improper fraction and is expressed as 26/3. CCF (copy, change, flip) is then applied to the division statement and 26/3 to becomes 4/8*26/3. The final answer is 104/24 which simples to 13/3.

Answer:

One pound of chicken serves 3 people. Each person gets 1/3 pounds

12/36=1/3

22/66=1/3

Hope this helps.

4

Review

To evaluate the expression, lets use BODMAS. Before we get to the solving part, lets revise BODMAS.

=> B in BODMAS is brackets. This means that whatever operations are inside a bracket, we must solve that first.

=> O in BODMAS is Orders. The O is used very rarely, there is a possibility that there is no powers, exponents.

=> D in BODMAS is Division. This means that whatever division is occurring in the expression must be done first (Unless if there is a bracket).

=> M in BODMAS is Multiplication. This means that whatever multiplication is occurring in the expression must be done next.

=> A in BODMAS is Addition. This means that whatever addition is occurring in the expression must be done then.

=> S in BODMAS is Subtraction. This means that whatever subtraction is occurring in the expression must be done last.

Now, lets get to the point. We need to find the expression '2−[(2+10(−1)÷2)+1]'. Using the help of BODMAS, we can solve it.

Step 1: Simplify the innermost bracket.

2 − [( 2 + 10(−1)÷2)+1]

=> 2-[(2-10÷2)+1]

Note: Since in the innermost bracket there is no operation, we can open the innermost bracket and get along with the second inner bracket.

Step 2: Simplify the second inner bracket.

=> 2 - [(2 - 10 ÷ 2) + 1]

=> 2 - [(2 - 5) + 1]

=> 2 - [(-3) + 1]

=> 2 - [-3 + 1]

Step 3: Simplify the third inner bracket.

=> 2 - [-3 + 1]

=> 2 + 2

Step 4: Solve.

=>  2 + 2

=> 4

Final Answer.

Therefore, 4 is our answer after working on this problem.

Answer:

4

Step-by-step explanation:the answer is 4 because you have to 20 2-2+10 and that is ten. then minus one is 9 then 9/2=3 and then 3+1 equals 4

Hello there! (:

The answer is 9.

3^4=3*3*3*3 (81)

3^2=9

81:9=9

So the answer is 9.

Hope it helps! If you have any question or query, feel free to ask! (:

~An excited gal

[tex]SparklingFlower[/tex]

Answer:

the four is product of -

2×2= 4

2 is a prime number.

it this only prime number which product is 4

Step-by-step explanation:

Answer:

[tex]5\times10^3[/tex]

Step-by-step explanation:

[tex]3.55\times10^6 \div 7.1 \times 10^2[/tex]

Exponents are positive:

[tex]3.5.5.0.0.0.0. = 3550000[/tex]

[tex]7.1.0.=710[/tex]

[tex]3550000 \div 710 = 5000[/tex]

Convert back into scientific notation:

[tex]5000 = 5 \times 10^3[/tex]

[tex]= 5 \times10^3[/tex]

Hope this helps.

Answer: 5 x 10^3

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Given h(x) = 2x - 14 and h(x) = 6, then equating

2x - 14 = 6 ( add 14 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10