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3 years ago

What is the following sum in simplest form - see attached.

Mathematics

1 answer:

melomori [17]3 years ago

5 0

You must first simplify the radicals by taking out any perfect squares.

√8 + 3√2 + √32 =
√4 * √2 + 3√2 + √16 * √2 =
2√2 + 3√2 + 4√2 =
9√2

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What is the range of the function y = x 2?

Leno4ka [110]

Answer:

$\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

The graph is also attached below.

Step-by-step explanation:

Given the function

$y=x^2$

We know that the range of a function is the set of values of the dependent variable for which a function is defined.

$\mathrm{For\:a\:parabola}\:ax^2+bx+c\:\mathrm{with\:Vertex}\:\left(x_v,\:y_v\right)$

$\mathrm{If}\:a$

$\mathrm{If}\:a>0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v$

$a=1,\:\mathrm{Vertex}\:\left(x_v,\:y_v\right)=\left(0,\:0\right)$

$f\left(x\right)\ge \:0$

Thus,

$\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

The graph is also attached below.

5 0

2 years ago

1) g = 6x , for x What this mean

saul85 [17]

It means your solving for x

3 0

3 years ago

Read 2 more answers

What is the value of y in the equation 6 + y = −3?

oee [108]

The value of y is -9

6 0

3 years ago

HURRY PLEASE I WILL GIVE BRAINLIEST AND LOTS OF POINTS

Mrac [35]

Answer:

$m = \dfrac{3}{4}$

Step-by-step explanation:

We would like to find the slope of the line of the given equation .

$\longrightarrow y =\dfrac{3}{4}x -1$

We know that slope intercept form of the line is given by ,

$\longrightarrow y = mx + c$

where ,

m is the slope
c is y intercept

Now we can compare the given equation with the slope intercept form to find the slope . You will see that 3/4 is present at the place of m .Therefore ,

$\longrightarrow \underline{\underline{m=\dfrac{3}{4}}}$

Hence option C is correct choice .

4 0

2 years ago

Find an equation of the line that passes through the point (4, 3) and is perpendicular to the line 2x + 9y − 6 = 0.

vesna_86 [32]

Perpendicular has the reciprocal slope and u have to put the point given into point slope.

y-3=9/2(x-4)

(The slope of the original equation was -2/9)

3 0

3 years ago