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3 years ago

Name the property of real numbers illustrated by the equation

Mathematics

2 answers:

fgiga [73]3 years ago

7 0

we know that

The Associative Property Of Addition states that

$a+(b+c)=(a+b)+c$

in this problem we have

$a=2 \\b=\sqrt{5}\\c=7$

substitute in the formula above

$2+(\sqrt{5}+7)=(2+\sqrt{5})+7$

therefore

the answer is the option

B: Associative Property Of Addition

andrew-mc [135]3 years ago

6 0

I believe it is the Associative Property of Addition

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Conditional statement

Akimi4 [234]

A conditional statement, symbolized by p q, is an if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion.

7 0

4 years ago

A line passes through the point (4, -6) and has a slope of 3/2 . Write an equation in slope-intercept form for this line.

tatyana61 [14]

A slope intercept form: y = mx + b where m = slope and b = y -intercept

A slope of 3/2 is given

So y = 3/2 x + b

To find b:

b = y - mx

A line passes through the point (4, -6)

b = -6 - (3/2)(4)

b = -6 - 6

b = - 12

Answer

Equation in slope intercept form: y = 3/2 x - 12

8 0

3 years ago

Read 2 more answers

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs

Yuki888 [10]

What is the question?

8 0

2 years ago

St. Augustine grass can grow at the rate of 4 over 7 centimeter per week.

kotegsom [21]

Given, the rate of growth of St. Augustine grass is $\frac{4}{7}$ cm per week.

We have to find the number of weeks that the grass grow to $\frac{12}{7}$ cm.

Let's take the number of weeks be x.

In 1 week the grass grow = $\frac{4}{7}$ cm

So in x weeks the grass grow = $(\frac{4}{7}) (x) =\frac{4x}{7}$ cm

So we can write,

$\frac{4x}{7} =\frac{12}{7}$

To solve it for x, first we will move 7 to the right side by multiplying it to both sides. We will get,

$(\frac{4x}{7}) (7) =(\frac{12}{7})(7)$

$4x =(\frac{12}{7})(7)$

$4x = 12$

Now to get we will move 4 to the right side by dividing it to both sides. We will get,

$\frac{4x}{4} =\frac{12}{4}$

$x = 3$

So we have got the required answer.

After 3 weeks the grass grow $\frac{12}{7} cm$ .

3 0

3 years ago

Find the solution to this system of equations 3x+2y+3z=3 4x-5y+7z=1 2x+3y-2z=6 x=? Y=? Z=?

Ede4ka [16]

Answer:

The solution is $x=2,\ y=0,\ z=-1.$

Step-by-step explanation:

You are given the system of three equations:

$\left\{\begin{array}{l}3x+2y+3z=3\\4x-5y+7z=1\\2x+3y-2z=6\end{array}\right.$

Multiply the first equation by 4, the second equation by 3 and subtract them. Then multiply the third equation by 2 and subtract it from the second equation:

$\left\{\begin{array}{l}3x+2y+3z=3\\4(3x+2y+3z)-3(4x-5y+7z)=4\cdot 3-3\cdot 1\\4x-5y+7z-2(2x+3y-2z)=1-2\cdot 6\end{array}\right.\Rightarrow \\\\\left\{\begin{array}{l}3x+2y+3z=3\\12x+8y+12z-12x+15y-21z=12-3\\4x-5y+7z-4x-6y+4z=1-12\end{array}\right.$

So,

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\-11y+11z=-11\end{array}\right.\Rightarrow \left\{\begin{array}{l}3x+2y+3z=3\\23y-9z=9\\y-z=1\end{array}\right.$

Multiply the third equation by 23 and subtract it from the second equation:

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\23y-9z-23(y-z)=9-23\cdot 1\end{array}\right.\Rightarrow \left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\23y-9z-23y+23z=9-23 \end{array}\right.$

Hence,

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\14z=-14 \end{array}\right.\Rightarrow z=-1$

Substitute it into the second equation:

$23y-9\cdot (-1)=9\Rightarrow 23y+9=9\\ \\23y=0\\ \\y=0$

Substitute them into the first equation:

$3x+2\cdot 0+3\cdot (-1)=3\Rightarrow 3x-3=3\\ \\3x=6\\ \\x=2$

The solution is $x=2,\ y=0,\ z=-1.$

3 0

4 years ago