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3 years ago

Two choices greater than 3/5

Mathematics

1 answer:

Nata [24]3 years ago

4 0

Answer:

39/50 is larger than 3/5.

Step-by-step explanation:

2/3 is larger than 3/5.

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Given that g(x)=3x-7 Find the value of k <img src="https://tex.z-dn.net/?f=g%5E%7B2%7D%20%284k%2F3%29%3D8" id="TexFormu

frez [133]

Answer:

{ $\frac{7}{4}$ - $\frac{\sqrt{2} }{2}$ , $\frac{7}{4}$ + $\frac{\sqrt{2} }{2}$ }

Step-by-step explanation:

ax² + bx + c = 0

$x_{12}$ = ( - b ± $\sqrt{b^2 -4ac}$ ) ÷ 2a

~~~~~~~~~~~

g(x) = 3x - 7

g²(x) = (3x - 7)²

g²(x) = 9x² - 42x + 49

g²( $\frac{4k}{3}$ ) = 9( $\frac{4k}{3}$ )² - 42( $\frac{4k}{3}$ ) + 49

9( $\frac{4k}{3}$ )² - 42( $\frac{4k}{3}$ ) + 49 = 8

16k² - 56k + 41 = 0

a = 16 , b = - 56 , c = 41

D = b² - 4ac = ( - 56)² - 4(16)(41) = 512 = $2^{9}$

$k_{1}$ = ( 56 + √ $2^{9}$ ) ÷ 32 = $\frac{7}{4}$ + $\frac{\sqrt{2} }{2}$

$k_{2}$ = $\frac{7}{4}$ - $\frac{\sqrt{2} }{2}$

3 0

3 years ago

Which expression is equivalent to i^233? A) 1 B) –1 C) i D) –i

DerKrebs [107]

$i^{233}=i^{232+1}=i^{232}i=i^{4\times58}i=(i^4)^{58}i=1^{58}i=i$

5 0

4 years ago

Describe the roots of the equation shown below.

Olegator [25]

Answer:

B. There is one real, double root

Step-by-step explanation:

For ax² + bx + c = 0, the discriminant is b² − 4ac.

If the discriminant is positive and a perfect square, there are two real, rational roots.

If the discriminant is positive and not a perfect square, there are two real, irrational roots.

If the discriminant is 0, there is one real, double root.

If the discriminant is negative, there are two complex roots.

Here, a = 64, b = -16, and c = 1.

b² − 4ac

= (-16)² − 4(64)(1)

= 0

The discriminant is 0. Therefore, there is one real, double root

5 0

4 years ago

Graph the function in the coordinate plane. Use the Mark Feature tool to indicate the x- and y-intercepts of the function.y=2/3x

Darina [25.2K]

Answer:

My blue dot is the y-intercept.

My red dot is my x-intercept.

Please look at the graph.

Step-by-step explanation:

I can show you my graph and mark it where the x-intercepts and y-intercepts are.

Let's begin.

We have y=2/3 x+4.

Compare this to the slope-intercept form, y=mx+b where m is the slope and b is the y-intercept.

You should see that m=2/3 and b=4.

This means the slope is 2/3 and the y-intercept is 4.

Don't forget slope means rise/run.

So once we graph 4 (plot a point) on the y-axis, then we will use our slope to get to one more point. The slope here tells us to rise 2 and run 3.

Now sometimes our graph is not accurate when drawing by hand so there is a way without graphing that you can find the x- and y-intercepts.

The x-intercept is when the y-coordinate is 0.

The y-intercept is when the x-coordinate is 0.

So to find the x-intercept, I'm going to set y to 0 and solve for x. Like so,

0=2/3 x +4

Subtract 4 on both sides:

-4=2/3 x

Multiply both sides by the reciprocal of 2/3 which is 3/2:

3/2 (-4)=x

Simplify:

-12/2=x

Simplify:

-6=x

Symmetric Property:

x=-6

So the x-intercept is (-6,0).

I actually already have the y-intercept since my equation is in y=mx+b (slope-intercept form). But if it wasn't you could just set x to 0 and solve for y. Like so:

y=2/3 (0)+4

y=0+4

y=4

The y-intercept is (0,4).

Let's go to our graph now.

6 0

3 years ago

Find the value of x and y

Anettt [7]

Answer:

x = 5

y = 3

Step-by-step explanation:

9x and 45 are alternate interior angles, meaning they're congruent, so set them equal to one another, like so:

9x = 45

Divide both sides by 9:

x = 5

Solving for y, the two sides are of equal length, so set them equal:

6y = 18

Divide both sides by 6:

y = 3

6 0

4 years ago

Read 2 more answers