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4 years ago

Simplify –3√ 2 + 3√ 8 .

Mathematics

2 answers:

nignag [31]4 years ago

5 0

Answer:

The given expression $-3\sqrt{2}+3\sqrt{8}=3\sqrt{2}$

Step-by-step explanation:

Given expression $-3\sqrt{2}+3\sqrt{8}$

We have to write the given expression in simplified form.

Consider the given expression $-3\sqrt{2}+3\sqrt{8}$

We first simplify $\sqrt{8}=\sqrt{2\cdot 2\cdot 2}=2\sqrt{2}$

So, the given expression becomes,

$-3\sqrt{2}+3\sqrt{8}=-3\sqrt{2}+3\cdot 2\sqrt{2}$

On simplify, we get,

$-3\sqrt{2}+3\sqrt{8}=-3\sqrt{2}+6\sqrt{2}$

Taking $\sqrt{2}$ common from both term, we have,

$\Rightarrow \sqrt{2}(-3+6)$

Simplify, we get,

$\Rightarrow \sqrt{2}(3)=3\sqrt{2}$

Thus, the given expression $-3\sqrt{2}+3\sqrt{8}=3\sqrt{2}$

Butoxors [25]4 years ago

3 0

9 rad 2 since 3 rad 8 simplifies to 12 rad 2 and they have to be the same radical to simplify

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Braden bought 4 packs of dog treats he gave 4 treats to his neighbors dog now braden has 24 treats left for his dog how many tre

KiRa [710]

7 were in each pack because orginally he had 28 he gave four away. 7*4=28

5 0

3 years ago

Find f(-3) for f(x) = 4(2)^x O A. -32 O B. 1/2 O C. -24 O D. 1/8

V125BC [204]

Answer:

B. 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4(2)ˣ

Step 2: Evaluate

Substitute in x [Function f(x)]: f(-3) = 4(2)⁻³
Exponents: f(-3) = 4(1/8)
Multiply: f(-3) = 1/2

6 0

3 years ago

Help please and thanks

STALIN [3.7K]

Answer:

Rate of change of length of shadow is $\frac{15}{7} ft/s$

Step-by-step explanation:

Consider the figure

We have

$\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}$

$\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}$

$6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\$

Rate of change of length of shadow is $\frac{15}{7} ft/s$

8 0

2 years ago

PLEASE ANSWER THESE QUICK I NEED HELP PLEASE ITS ALGEBRA

Maslowich

Step-by-step explanation:

1.) y = - |x - 4| - 5 is an absolute value graph, where its vertex occurs at point (4, -5). The general form of the absolute value function is y = a |x – h| + k, where where:

a ≠ 0, and the value of a determines whether the graph opens up or down. If a is between 0 and 1, the graph is wider than the parent function.
(h, k ) represents the vertex.

The given absolute value function, y = - |x - 4| - 5 is a downward-facing graph, where it is translated 4 units to the right (as given by the value of h = 4), and 5 units downward (as given by the value of k = 5).

2.) The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function. To use the vertical-line test, imagine dragging a ruler held vertically across the graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value. If you do this for the given graph, every vertical line intersects the graph in at most one point.

Attached is the graph of the given function, where I performed the Vertical Line Test. As evidenced in the graph, every green vertical line intersects the graph at exactly one point (red dots on the graph). Thus, the graph passed the Vertical Line Test, thereby qualifying as a function.

Please mark my answers as the Brainliest if you find this explanation helpful :)

7 0

3 years ago

How to write the ratio of the number of 6 boys and 8 girls

andrezito [222]

Answer: The final answer to this question is 4:3

Step-by-step explanation:

The definition of a ratio is "the quantitative relation between two amounts showing the number of times one value contains or is contained within the other." In English, it's essentially how many "things" there are for every "other thing" there is. In this case, for every 8 girls there are, there are also 6 boys. There are many ways to write a ratio but the main one is with a colon.

So the ratio would be written like this 8:6

However, the statement requires it to be in simplest form so we need to simplify the ratio. We do that much like simplifying a fraction. Find the least common denominator, then divide both values by it. In this case the LCD is 2. So all we need to do now, is divide both the numbers in half, then we have our simplified ratio.

See :

8/2 = 4

6/2 = 3

So our new and final ratio is 4:3

Hope this helped you understand :)

7 0

3 years ago