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3 years ago

Simplify using distributive property 4(z+2)+2(3-z)

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

5 0

Answer:

2z+14

Step-by-step explanation:

you multiply

4*z =4z

4*2 =8

and then you multiply

2*3=6

2*-z=-2z

the answer is 2z+14

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Plz help me with this problem

Evgen [1.6K]

First we rearrange by using the definition of between.
AB=x+10, BC=x+14, AC=22
Given that AB+BC=AC, we can solve for X
(X+10)+(X+14)=22
X+10+X+14=22
2X+24=22
2X+24-24=22-24
2X=-2
2X/2=-2/2
X= -1

3 0

3 years ago

Why is 3/4 greater thab 11/16 how can i be sure

Delicious77 [7]

You can make them have the same denominator and then compare

$( \frac{3}{4}) ( \frac{16}{16}) = \frac{48}{64}$

$(\frac{11}{16})( \frac{4}{4}) = \frac{44}{64}$

so as you can see, $\frac{3}{4} is \frac{4}{64} bigger than \frac{11}{16}$

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3 years ago

Which function has a domain of (-∞, ∞) and a range of (-3, ∞)?

shtirl [24]

Answer:

Step-by-step explanation:

The function that will have the domain $(\infty, \infty)$ and a range of $(-3, \infty)$ is the

function in option d.) $f(x) = e^x - 3$

5 0

3 years ago

Maria has 2 dogs. Her friend bought her h more dogs. Write an expression that show how many dogs Maria has now.

AVprozaik [17]

Answer:

2+h

Step-by-step explanation:

7 0

3 years ago

Solve the following system by any method -8x-8y=0 -8x+2y=-20

iVinArrow [24]

$\fbox{Solution by using Matrix}$

$\text{Linear Equation} = -8x-8y=0 , -8x+2y=-20$

$\text{Rewrite the linear equations above as a matrix}$

$\left[\begin{array}{ccc}8&-8&0\\-8&2&-20\\\end{array}\right]$

$\text{Apply to Row2 : Row2 + Row1}$

$\left[\begin{array}{ccc}8&-8&0\\-8&-6&-20\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}8&-8&0\\0&1&10/3\\\end{array}\right]$

$\text{Note: The matrix is now in echelon form.}$ $\text{The steps below are for back substitution.}$

$\text{Apply to Row1 : Row1 + 8 Row2}$

$\left[\begin{array}{ccc}8&0&80/30\\0&1&10/3\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}1&0&10/3\\0&1&10/3\\\end{array}\right]$

$\text{Therefore, the solution is}$

$x= \dfrac{10}{3} \ \text{and} \ \ y=\dfrac{10}{3}$

7 0

3 years ago