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3 years ago

Factor the expression below.

Mathematics

2 answers:

Leokris [45]3 years ago

4 0

Answer:

9x^2−1

=(3x+1)(3x−1)

So,the correct answer is D.Trust me this is the right answer

I hope this help you.Please give me the brainliest

Sonbull [250]3 years ago

3 0

Answer:

(3x -1) (3x+1)

Step-by-step explanation:

9x^2 - 1

Rewriting

(3x)^2 -1^2

This is the difference of squares a^2 -b^2 = (a+b) (a-b)

(3x -1) (3x+1)

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Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{12},0)(± 12 ,0)left parenthesis, plus min

lora16 [44]

Answer:

$\mathbf{\dfrac{x^2}{49^2} +\dfrac{y^2}{37^2} =1}$

Step-by-step explanation:

Given that :

the foci of the ellipse is (±√12,0) and C0-vertices are (0,±√37)

The foci are (-C,0) and (C ,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so C0-vertices are (0,±√37)

The given focus C = ae = √12

Given co-vertices ( minor axis) (0,±b) = (0,±√37)

b= √37

We can therefore express the relation between the focus and semi major axes and semi minor axes as:

$\mathbf{c^2 = a^2 - b^2 } \\ \\ \mathbf{a^2 = c^2 + b^2 } \\ \\ \mathbf{c^2 = ( \sqrt12)^2 - (\sqrt 37)^2 } \\ \\ \mathbf{c^2 = 49 } \\ \\ \mathbf{c = \sqrt{49 }}$

The equation of ellipse formula is:

$\dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1$

and we know that $\mathbf{a=\sqrt{49} \ \ and \ \ b=\sqrt{37}}$

Thus ; the equation of the ellipse at the origin is

$\mathbf{\dfrac{x^2}{49^2} +\dfrac{y^2}{37^2} =1}$

3 0

4 years ago

Sanchez applied 6 fluid Ounces of an herbicide per acre on 300 acres of com. How many gallons

kumpel [21]

Answer:

Sanchez applied 1,800 fluid ounces of herbicide to his 300 acres of corn.

Step-by-step explanation:

Let's identify what we already know:

1) Sanchez has 300 acres of corn

2) For every 1 acre, Sanchez applies 6 fluid ounces of an herbicide.

So, we need to figure out how many fluid ounces Sanchez used for the entire six acres. We can create a formula for this:

300 acres x 6 fluid ounces = x

x equals total number of fluid ounces. We multiple the number of acres by the fluid ounces, to get 1,800 fluid ounces for the entire 300 acres of corn.

3 0

3 years ago

Anna11 [10]

Answer:

Y = 0.0315x + 9.4764

Residual = 2.35

Correlation Coefficient = 0.847

Step-by-step explanation:

From the R output given :

Intercept = 9.4764

Slope = 0.0315

x = number of manufacturing enterprise employing 20 or more workers

y = annual mean concentration of Sulphur dioxide

The regression equation :

y = bx + c

b = slope ; c = intercept

y = 0.0315x + 9.4764

Prediction using the regression equation :

The predicted y value, when x = 250

y = 0.0315(250) + 9.4764

y = 17.3514

The residual, if actual annual concentration = 15

Y residual = 17.35 - 15 = 2.35

The correlation Coefficient value, R

R = √R²

R = √0.717

R = 0.847

5 0

3 years ago

3x-2y=13 and 2x+3y=-16

Marysya12 [62]

If youre trying to solve for the variables you have to solve for one of them in one equation first, so if you solved for x in 2x+3y=16 youd get x=8-(3/2)y. Then youd have to sub in that x for the x in the other equation so youd get 3(8-(3/2)y)-2y=13 then solve for y. Once you have the value of y it should be the same in both equations. Plug that new value of y into the equation of youre choosing then sove for x

5 0

4 years ago

How do i do these two while using a proportion?

AnnZ [28]

For #2, the proportion would be .40/.25 and x/15, then you would cross multiply to find x. and for #3 the proportion would be 15/6 and 75/x and again you would cross multiply to find x. (:

7 0

3 years ago