what is the answer to 3(x-4)=12 in simplest form ?

Answer:

James is 37, Rob is 44, and Kate is 35

Step-by-step explanation:

Set up an equation where x is James' age:

Rob's age can be represented by x + 7, since he is 7 years older than James

Kate's age can be represented by x - 2, since she is 2 years younger than James

Add these together in the equation and set it equal to 116:

(x + 7) + (x - 2) + (x) = 116

Add like terms and solve for x:

(x + 7) + (x - 2) + (x) = 116

3x + 5 = 116

3x = 111

x = 37

So, James is 37.

Find Rob's age by adding 7 to this:

37 + 7

= 44

Find Kate's age by subtracting 2:

37 - 2

= 35

So, James is 37, Rob is 44, and Kate is 35

Answer:

Rob = 44

Kate = 35

James = 37

Step-by-step explanation:

Rob = 44     which is 7 years older than James

Kate = 35     which is 2 years younger than James

James = 37

Answer:

A

Step-by-step explanation:

conjugate means we flip the sign between the two terms.

the two terms here are 5 and √(x+4), with a minus sign in between. we flip the minus sign to a plus sign to find the conjugate.

A fits this

===============================================

The three medians of this triangle are:

These segments go from one vertex to the midpoint of the opposite side.

The median we'll focus on is PF.

The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC

In other words,

CF = 2*PC

This means,

PF = PC+CF .... segment addition postulate

PF = PC+2*PC ... replace CF with 2*PC

PF = 3*PC .... combine like terms

So the median PF is three times the length of its portion PC

We're told that PF = 24

We can then find the following:

PF = 3*PC

24 = 3*PC

3*PC = 24

PC = 24/3

PC = 8

Then we double this to get the length of CF

CF = 2*PC

CF = 2*8

CF = 16

This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.

The final answer is 16.

Answer:

Step-by-step explanation:

Terms are any numbers or variables that represent numbers. In other words, 2, 8, c, d, and b are all the terms of this expression.

Answer:

1. Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)

2.Exact solution x = -0.376

Step-by-step explanation:

Solution:

First we have to write the Expanded Form of [tex]a^{2} . b^{3}[/tex], Let's do it.

1) [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)

Hence,

Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)

2) [tex]4^{5x} = 3^{x-2}[/tex]

Now, we have to find out the exact solution of the above equation:

In order to equate the exponents, we need to make sure the bases are same. Or we simply can use logarithm to solve the above equation.

So,

We are using logarithm to solve this equation.

Let's break this down:

[tex]4^{5x} = 3^{x-2}[/tex]

Taking log on both sides.

log[tex]4^{5x}[/tex] = log[tex]3^{x-2}[/tex]  

[tex]5xlog(4)[/tex] = [tex](x-2)log(3)[/tex]

Dividing both sides by log(4)

[tex]5x[/tex] = (x-2) [tex]\frac{log(3)}{log(4)}[/tex]

value of log(3) = 0.4771

value of log(4) = 0.6020

[tex]5x[/tex] = (x-2) [tex]\frac{log(0.4771)}{log(0.6020)}[/tex] =

5x = (x-2)0.792

5x = 0.792x - 1.584

by rearranging the equation, we get:

0.792x - 5x = 1.584

x(0.792 - 5) = 1.584

x(-4.208) = 1.584

x = -1.584/4.208

x = -0.376

Exact solution x = -0.376

Answer:

C

Step-by-step explanation:

(a) Applying T to p(t) = 2 - t + t ² gives

T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³

(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,

T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )

Let

p(t) = α₀ + α₁ t + α₂ t ²

q(t) = β₀ + β₁ t + β₂ t ²

Compute the images of p and q :

T ( p(t) ) = (t - 2) (α₀ + α₁ t + α₂ t ²)

… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³

Similarly,

T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³

Then

a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³)

… = c₀ + c₁ t + c₂ t ² + c₃ t ³

where

c₀ = -2 (a α₀ + b β₀)

c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)

c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)

c₃ = a α₂ + b β₂

Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.

(c) Find the image of each vector in the basis for P₂ :

T (1) = (t - 2) × 1 = t - 2

T (t ) = (t - 2) t = t ² - 2t

T (t ²) = (t - 2) t ² = t ³ - 2t ²

Then

[tex]T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}[/tex]

Answer:

im not sure

Step-by-step explanation:

Answer:

Thx for the points the answer is also 5

Step-by-step explanation:

Answer:

14:23

Step-by-step explanation:

14:23

Answer:

its 14-23

Step-by-step explanation:

The price for one candle holder before taxes is $30.88.

It is an amount of money that a government requires people to pay according to their income, the value of their property, etc., and that is used to pay for the things done by the government.

The total payment including tax is $100.

The change received is $32.16.

The rate of sale tax is 6%.

The cost of one candle including tax is given by

(100 - 32.16) / 2 = 32.92

6% of a candle is given by

32.92 * 0.06 = 2.0352

The cost of one candle without tax is given by

32.92 - 2.0352 = 30.88

Hence, the cost of one candle without tax is $30.88.

To learn more about tax, use the link given below:

https://brainly.com/question/16423331

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Answer:

1245.89

Step-by-step explanation:

fthgxdtyujbcxfdrtyuhjnb bcfdtyhjnbcxdftgyhjn cftyghjn vcfghjnbvfghj

Answer:

[tex]y = -4\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]16-(3-4y) = 2(y+2)[/tex]

Distribute.

[tex]16 - 3 + 4y = 2y + 4[/tex]

Combine like terms.

[tex]13 + 4y = 2y + 4[/tex]

Subtract [tex]2y[/tex] from both sides.

[tex]13 + 2y = 4[/tex]

Subtract 13 from both sides.

[tex]2y = -9[/tex]

Divide both sides by 2.

[tex]y = -4\frac{1}{2}[/tex]

I hope this helps!

Answer:36

Step-by-step explanation:

You would add 6x + 10x + 2x = 180 then add your xs to get 18x =180 divide to 18 then multiply by 2 and get 35 :)

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because the points are going up by 10 :)

Answer:

$63

Step-by-step explanation:

First, divide 28 by 4 to get 7

Now we know that one ticket cost $7.

Do 7 times 9 to get 63

9 tickets costs $63

9 movie tickets would cost $63.

Since 4 movie tickets cost $28, you can divide 28 by 4 to get 7. From here, you can multiply 7 by 9 to get 63.

May I have brainliest please? :)

Answer:

16x+8y

Step-by-step explanation:

Let's simplify step-by-step.

3x+8y+13x

Combine Like Terms:

=3x+8y+13x

=(3x+13x)+(8y)

=16x+8y

Answer:

13

Step-by-step explanation:

because...math

Answer:

liner

Step-by-step explanation:

Answer:

5^3

Step-by-step explanation:

Apply the property (ab)^n=a^nb^n

Apply property (a^n)^a^nm

Rearrange the terms so they are next to terms with same base

Apply the property a^n a^m=a^n+m

I do not know... I'm sorry...

Answer:

Step-by-step explanation:

here you go mate

step 1

x + 7 < 9  equation

step 2

x + 7 < 9  subtract -7

x+7(-7)<9(-7)

answer

x<2

Answer:

B  t = 9(5)

Step-by-step explanation:

for each mile the time increased by 9 minutes. So you can find the time in minutes by multiplying the number of miles by 9.

Answer:

1

Step-by-step explanation:

Answer:

924m^3 is the volume of the rectangular prism

What about it?????????

Answer: is this the best ratio question

Step-by-step explanation:

Answer:

43

neeed...20...charetors

The integer that represents the altitude closer to sea level​ is 10.

Addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value. A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.

We are informed that Markers were placed at altitudes of 10 and 15 feet below sea level

Then we need to find the integer that represents the altitude closer to sea level​.

We can say that 10 is negative (below the sea level), and 10 is 10 spaces away from zero on the number line, meaning the answer could be |10|.

The sea level would be 0 and the 10 would be -10 and the 15 will be -15

Hence, the 10 is closer to the sea level.

Thus the integer that represents the altitude closer to sea level​ is 10,

Learn more about fraction addition here:

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