Solve:-4(-6x - 3) =12

Answer:

[tex] \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• let f(x) be m:

[tex]{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• make x the subject of the function:

[tex]{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}[/tex]

• therefore:

[tex]{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ [/tex]

Answer:

a. was incorrect a = -0.109569028 so...

y = -0.109569028(x + 7)² + 54

b. It's been the above vertex equation for a parabola then

set y = 40 equal to the parabolic equation, we get

40 = -0.109569028x² - 1.533966392x + 48.631117628

solve for x we get

x = -18.3036867393939 or ~ 18.3 feet

Step-by-step explanation:

y = a(x - h)² + k

(h, k) = vertex = (-7, 54)

x = h is the axis of symmetry -7

y = a(x -(-7))² + 54

y = a(x + 7)² + 54

solve for a by inputting the point (15.2, 0)

0 = a(15.2 + 7)² + 54

-54 = a(22.2)²

-54 = 492.84a

a = -54/492.84

a = -0.109569028

Answer

I guess so.

To find the LCM you need to know the lowest digit as possible.

For example,

Question: What is the LCM of 8 and 6?

Answer: Table of 8: 8, 16, 24, 32, 40,48

             Table of 6: 6, 12, 18, 24, 30, 36, 42, 48

Now look at the tables again and, did you see the LCM???......

If so your answer would be 24.

Step-by-step explanation:

Answer:

[tex]q(x) =-5[/tex]

Step-by-step explanation:

I am solving this using Function Notation.

We are given:

[tex]q(x)= \frac{1}{2}x - 3[/tex]

While we are to find:

[tex]q(x) =-4[/tex]

In Function Notation, replace all the "[tex]x[/tex]" you see with the value you are given.

So, in this case,

[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}x - 3[/tex]

Would become

[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}(-4) - 3[/tex]

Now we can solve.

[tex]\frac{1}{2}(-4) - 3[/tex]

Use PEMDAS; Parenthesis first;

[tex]\frac{1}{2}(-\frac{4}{1})[/tex]

Cross divide: 1 cancels 1, -4 ÷ 2 = -2

Hence, we are left with

[tex](-2) - 3[/tex]

[tex]-5[/tex]

Therefore, the value of x is -5

3.5 to 2.167

2.80

Step-by-step explanation:

Sales tax and tip will increase the price of an item.

The cost of each meal is: $10.89

Let the cost of both meals be x.

A 20% tip means that, the current price is:

[tex]Price = x \times (1 + 20\%)[/tex]

A 6% sales tax on the meal means that, the current price is:

[tex]Price = x \times (1 + 20\%) \times (1 + 6\%)[/tex]

So, we have:

[tex]Price = x \times (1 + 0.20) \times (1 + 0.06)[/tex]

[tex]Price = x \times (1.20) \times (1.06)[/tex]

[tex]Price = x \times 1.272[/tex]

The amount paid is $27.72

So, the equation becomes

[tex]27.72= x \times 1.272[/tex]

Make x the subject

[tex]x = \frac{27.72}{1.272}[/tex]

[tex]x = 21.78[/tex]

So, the cost of each meal is:

[tex]Each= \frac{21.78}{2}[/tex]

[tex]Each= 10.89[/tex]

Hence, the cost of each meal is: $10.89

Read more about sales tax at:

https://brainly.com/question/19715580

Answer:

Step-by-step explanation:

Deposited  60000(debit)

cash 60000(credit)

Deposited 1500(debit)

cash 1500(credit)

debit 61500 credit 61500

Answer:

the answer is 1st.

because _ ✖️ _= +

Another way to write above expression is :

Answer: 21 miles

Step-by-step explanation:

Answer:

1491

Step-by-step explanation:

1.75 times 852 equals 1491

Answer: I would say that some of the Three challenges Martin Luther King Jr. faced in the battle for equal rights included the opposition of "good" white people to his tactics, his realization that the only way to win civil rights was to proceed nonviolently, and pushback against his plan in the late 1960s to unite Black people and white people in a war on poverty.

Step-by-step explanation:

Answer:

Martin Luther king faced many hardships and challenges in the duration of his life. His right to freedom of speech was violated constantly, resulting in him to get arrested, threatened, bombed, and even stabbed. He was targeted by people who didn’t want change. They wanted things to stay the way they were, where segregation was enforced, and the inequality of races continued. Although he was a subject to violence all his life, he never gave up and his dream impacted the world and became a reality.

Step-by-step explanation:

Answer: -27

Step-by-step explanation: subtract -5 and - 9 to get -14, then subtract -13 and -14 to get -27

Answer:

8/21

Step-by-step explanation:

-1/3 + 5/7=1×7 =-7/21 +15/21

- × -

3. 7

-7/21 + 15/21= -7+15 = 8/21

-----

21

Answer:

5/12

Step-by-step explanation:

opposite is on the other side of the number line. 5/12 is the answer

Answer:

c

Step-by-step explanation:

h × b then Divide by 2......

Answer:

[tex]- 5 {x}^{3} - {x}^{2} - 11x + 7 \\ [/tex]

Step-by-step explanation:

Before solving that we have to know that,

[tex]( + ) \times ( + ) = ( + ) \\ ( - ) \times (- ) = ( + ) \\ ( + ) \times ( - ) = (- )[/tex]

Let's solve now.

[tex]7 {x}^{3} - 11x - 1 - (12 {x}^{3} + {x}^{2} - 8) \\ 7 {x}^{3} - 11x - 1 - 12 {x}^{3} - {x}^{2} + 8 \\ 7 {x}^{3} - 12 {x}^{3} - {x}^{2} - 11x - 1 + 8 \\ = - 5 {x}^{3} - {x}^{2} - 11x + 7[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

yes

Step-by-step explanation:

brainliest please

Yes this is correct, i cant really explain since i already did this question on paper but I CAN tell you it is right

Answer:96 green pens

7x ,3x,4x

assume that the  black pens amd red pens  and green pens are sold respictely

7x.2+3x.5+4x.6=212

53x=212

x=4

number  of green pens sold

4x.6=4x4x6=96

Answer:

Right Triangle.

Step-by-step explanation:

A right triangle always has a 90 degree angle.

Answer:Right angle

Step-by-step explanation:the box down there signals its a 90 degree angle

Answer: Like 1/3=2/6 and 2/3=4/6, 1/4=2/8 then 3/4=6/8.

Step-by-step explanation: Hope this help. hit me up if u need some more help

Answer:

1) 1/2 = 18/36 = 9/18 = 8/16 = 21/42 = 24/48

2) 5/6 = 40/48 = 10/12 = 25/30 = 15/18 = 20/24

3) 1/3 = 3/9 = 9/27 = 30/90 = 2/6 = 4/12

4) 3/4 = 18/24 = 12/16 = 6/8 = 15/20 = 27/36

5) 4/9 = 8/18 = 20/45 = 16/36 = 24/54 = 12/27

Step-by-step explanation:

The main explaination for this is to take your denominator -- your bottom number of the fraction -- and divide it by the denominator to which you're trying to compare it to. Multiply your numerator to the compared to find your full fraction.

For example, say the fraction is 1/2. You're trying to figure out it's equivalent through the pair _/100. Take your 100 and divide it by 2, your other denominator, which leaves you with 50. Take the 50 and multiply it by the compared numirator to find your full fraction, which in this case is 50/100.

Hopes this helps you!

Answer: 3/4 difference

Step-by-step explanation:

Turn 1 1/2 improper = 3/2

Multiply it by 2 (to make the denominator the same)

Do 6/4 minus 3/4 to get 3/4 as your answer.

Hope that helps! :))

Answer:

Hello there your answer is 12 x  +  5 y  =  − 10!

Answer:

0.25

Step-by-step explanation:

the pattern is dividing by -4. so divide -1 by -4 and you get 0.25.

Answer:

i need a picture

Step-by-step explanation:

It looks like the given equation says

[tex]xy^8 + e^{y/5} = e[/tex]

When x = 0, you have

[tex]0\cdot y^8 + e^{y/5} = e \\\\ e^{y/5} = e^1 \\\\ \dfrac y5 = 1 \\\\ y=5[/tex]

Differentiating both sides with respect to x gives

[tex]\left(xy^8 + e^{y/5}\right)' = e' \\\\ \left(xy^8\right)' + \left(e^{y/5}\right)' = 0 \\\\ x\left(y^8\right)' + x'y^8 + e^{y/5}\left(\dfrac y5\right)' = 0 \\\\ 8xy^7y' + y^8 + \dfrac15e^{y/5}y' = 0[/tex]

That is, the derivative operator distributes over sums, and the derivative of a constant is 0; apply the product rule on the first term and chain rule on the second; then use chain rule one more time.

Now plug in x = 0 and y = 5, and solve for y' :

[tex]8\cdot0\cdot5^7y' + 5^8 + \dfrac15e^{5/5}y' = 0 \\\\ 5^8 + \dfrac15e y' = 0 \\\\ \dfrac15e y' = -5^8 \\\\ y' = \boxed{-\dfrac{5^9}e}[/tex]

The length of the side CD which is the base of the right triangle CDE is 15 feet which is option D.

We have,

We can use the Pythagorean theorem to solve for the length of the height CD in the right triangle CDE.

Where CE is the hypotenuse and De is the base.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we have:

CD² + DE² = CE²

Plugging in the given lengths:

CD² + 8² = 17²

CD² + 64 = 289

CD² = 289 - 64

CD² = 225

CD = √225

CD = √15²

CD = 15

Thus,

The length of the side CD which is the base of the right triangle CDE is D. 15 feet.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

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