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2 years ago

Find the inverse of 6x^2-7

Mathematics

2 answers:

topjm [15]2 years ago

8 0

Answer:

$y = \pm \sqrt{\dfrac{x - 7}{6}}$

Step-by-step explanation:

f(x) = 6x² - 7

y = 6x² - 7

x = 6y² - 7

6y² = x - 7

$y^2 = \dfrac{x - 7}{6}$

$y = \pm \sqrt{\dfrac{x - 7}{6}}$

valina [46]2 years ago

6 0

This would be the correct answer

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An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.

Orlov [11]

Arc length = radius * central angle (measured in radians)
There are 57.2957795131 degrees per radian so
45 degrees = (45 / 57.2957795131) = 0.7853981634 radians 
radius = arc length / central angle (radians)
radius = 6.5 / 0.7853981634 radians = 8.2760570408 cm

http://www.1728.org/radians.htm

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2 years ago

4m/5-2m/3=1 solve the equation

katen-ka-za [31]

Answer:

m = 7.5

Step-by-step explanation:

4m/5 - 2m/3 =1

We want to get rid of the fractions so multiply each side by 5*3 or 15

15 *(4m/5 - 2m/3 ) =1*15

15 *(4m/5) -15( 2m/3 ) =1*15

Canceling like factors

3* 4m -5*2m = 15

Multiply

12m - 10m = 15

2m = 15

Divide each side by 2

2m/2 = 15/2

m = 7.5

8 0

2 years ago

Please ASAP help please !!! Help me anyone

worty [1.4K]

difference of squares means that both the terms are square terms. (also there must be a - symbol)

for example

y^2 - 4

square root of y^2 is y

square root of 4 is +2 as well as -2

so you would factorise it like this:

(y+2)(y-2)

1. y^4 has a square root of y^2 as y^2 × y^2 is y^4.

however, -2 doesnt have a whole number square root so it is not a difference of squares.

2. 25 has a square root of 5. m^2 has a square root of m. n^4 has a square root of n^2. so this 25m^2n^4 is a square term.

1 has a square root of +1 and -1.

therefore, this one is a difference of squares. (5mn^2 +1) (5mn^2 -1)

3. p^8 has a square root of p^4. q^4 has a square root of +q^2 and -q^2)

so it is a difference of squares. (p^4+q^2)(p^4 -q^2)

4. 16x^2 is a square term as irs square root is 4x.

however, 24 is not a square term.

therefore, it is not a difference of squares.

6 0

3 years ago

Statisticians use ______ scores to divide the ______ under a curve the way people use a knife to cut pizza. Just as the pizza is

solong [7]

Answer:

Statisticians use z-scores to divide the area under a curve the way people use a knife to cut pizza.

Step-by-step explanation:

Statisticians use z-scores to divide the area under a curve the way people use a knife to cut pizza.

z-score:

A z-score is a numerical measurement which is measured in terms of standard deviations from the mean.
Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

If a z-score is 0, it tells that the data point is same as the mean.
Area under the normal curve is 1.

6 0

3 years ago

The triangles shown below must be congruent. right awnsers only please.

tankabanditka [31]

It is true. The triangles are congruent.

8 0

3 years ago

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