What is the correct answer​

1st Question:

Our problem is [tex]-2x^2 - 10x + 100[/tex]

We have a common factor between the three terms, -2. So:

[tex]-2x^2 - 10x + 100[/tex]

[tex]-2(x^2 + 5x -50)[/tex]

We can factor further. What two numbers add up to 5 and multiply to -50? Our answer would be positive 10 and -5. Therefore:

[tex]-2(x^2 + 5x -50)[/tex]

[tex]-2(x +10)(x-5)[/tex]

2nd Question:

The problem is [tex]3x^3 + 9x^2 - 54x[/tex]

Like the first question, we can factor out a constant. In this case, we factor out a 3.

[tex]3x^3 + 9x^2 - 54x[/tex]

[tex]3(x^3 + 3x^2 - 18x)[/tex]

We can also factor out an x.

[tex]3(x^3 + 3x^2 - 18x)[/tex]

[tex]3x(x^2 + 3x - 18)[/tex]

We need to simply further. We can factor the quadratic into (x+6)(x-3).

[tex]3x(x^2 + 3x - 18)[/tex]

[tex]3x(x+6)(x-3)[/tex]

3rd Question:

Our problem is [tex]x^2 +12x + 20[/tex]

We do not have a coefficient, so we should factor the expression straight away. What two numbers add up to 12 and multiply to 20? the numbers 2 and 10. So:

[tex]x^2 +12x + 20[/tex]

[tex](x+2)(x+10)[/tex]

Answer:

the answer is B

Step-by-step explanation:

milli means thousandths.

in 1 gram there are therefore 1000 milligrams.

so, when you have milligrams, you need to divide them by 1000 to get the grams.

so, 1g/1000mg

20 1/2 Im pretty sure

Answer:

There are 292 sunny days a year in Yucca Manor

Step-by-step explanation:

80 x 365

--------------           =          292

100                                

What Julius did wrong is that, he added the partial products incorrectly

Julius product is given as:

2 5

1  8

-----

250

200

-----

550

The above product can be represented as (as given on Julius solution):

[tex]25 \times 18 = 250 + 200[/tex]

[tex]25 \times 18 = 550[/tex]

The actual solution using partial products

We have:

[tex]25 \times 18 = 25 \times (10 + 8)[/tex]

Expand

[tex]25 \times 18 = 250 + 200[/tex]

[tex]25 \times 18 = 450[/tex]

By comparing, we can conclude that:

Julius multiplied 25 by 10 and 25 by 8 correctly, but he added the partial products incorrectly

Read more about partial products at:

https://brainly.com/question/669360

Step-by-step explanation:

y = 2x + 1

4y - 5x = 13

4(2x + 1) - 5x = 13

8x + 4 - 5x = 13

8x - 5x = 13 - 4

3x = 9

x = 9/3

x = 3

y = 2x + 1

y = 2.3 + 1

y = 6 + 1

y = 7

(x,y) = (3,7)

Answer:

the answer should be 54.6 grams

Step-by-step explanation:

6r + 7 = 13 + 7r

6r - 7r = 13 - 7

-1r = 6

r = 6/-1

r = -6

Answer:

Directrix

Step-by-step explanation:

The directrix of a parabola is the line, along with a point not on the line (which is the focus), which is used to generate a parabola.  The directrix is parallel either to the x- or y-axis, and is perpedicular to the parabola's axis of symmetry (at x = h).      

Therefore, the correct answer is "directrix."  

Answer:

4/5

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Hope this helps :)

Answer:

The slope is -8/5

Step-by-step explanation:

Slope is the change of y over the change of x.

Two x and y values for example are -7, -2, 9, and 1.

You would set up the expression where you put 9-1 in the numerator and -7-(-2) in the denominator. The answer would be 8/-5.

Thus, the slope is -8/5.

Answer:

a. acute

Step-by-step explanation:

the angles are 60° 36° 84°

all less than 180° and 90°

Answer:

Thus the center of the circle is at (3, 2)

Step-by-step explanation:

The center of the circle is also the midpoint of the diameter.  Thus we can use the midpoint formulas, as follows:

         sum of x coordinates                        sum of y coordinates

xm = ----------------------------------  and  ym = -----------------------------------

                          2                                                          2

In this case, xm = (2 + 4)/2 = 3 and ym = (7 - 3)/2 = 2

Thus the center of the circle is at (3, 2)

Answer:

24x - 6

Step-by-step explanation:

Perimeter = 2(8x - 3) + 2(4x)

Perimeter = 16x - 6 + 8x

Perimeter = 24x - 6

-Chetan K

Answer:

I think it would be 180 degrees

Step-by-step explanation:

Step-by-step explanation:

f(x) = 7|x - 2|

f(6) = 7|6 - 2| = 7|4| = 7.4 = 28

Answer:

A. y + 2 = 4/3(x – 3); –4x + 3y = –18

Step-by-step explanation:

(3, –2) and (6, 2)

First, we must establish slope...

m=(y-y1)/(x-x1)

m=(-2-2)/(3-6)

m=-4/-3

m=4/3

Point slope formula is...

y-y1=m(x-x1)

Let's select either coordinate.  I randomly select the first (3, –2)...

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

Subtracting a negative number is the same as adding a positive number...

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

This corresponds to the first answer.

Standard form...

Ax+By=C

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

y=(4/3)x-6

-(4/3)x+y=-6

Multiply both sides by 3...

-4x+3y=-18

This also corresponds to the first answer.

How about the second coordinate, (6, 2)...

y-y1=m(x-x1)

y-2=(4/3)(x-6)

Let's convert it into standard form..

y-2=(4/3)x-8

y=(4/3)x-6

-(4/3)x+y=-6

Multiply both sides by 3...

-4x+3y=-18

FIRST ANSWER

y + 2 = 4/3(x – 3); –4x + 3y = –18

Answer:

1:9

Step-by-step explanation:

4:36

4 divided by what can be divisible by 36 too?

4 itself can.

4 divided by 4 is 1 and 36 divided by 4 is 9

1:9

I assume you meant to write

x² + y² - 3xy - 6x + 5y + 2 = 0

Taking y = y(x) and differentiating both sides with respect to x with the power, product, and chain rules gives

2x + 2y dy/dx - 3y - 3x dy/dx - 6 + 5 dy/dx = 0

Solve for dy/dx :

2x - 3y - 6 + (2y - 3x + 5) dy/dx = 0

(2y - 3x + 5) dy/dx = 6 - 2x + 3y

dy/dx = (6 - 2x + 3y) / (2y - 3x + 5)

Now differentiate both sides again. Using the quotient and chain rules,

d²y/dx² = ((2y - 3x + 5) (-2 + 3 dy/dx) - (6 - 2x + 3y) (2 dy/dx - 3)) / (2y - 3x + 5)²

Expand and simplify the numerator:

d²y/dx² = (5y + 8 + (3 - 5x) dy/dx) / (2y - 3x + 5)²

Substitute dy/dx and simplify d²y/dx² :

d²y/dx² = (5y + 8 + (3 - 5x) (6 - 2x + 3y) / (2y - 3x + 5)) / (2y - 3x + 5)²

d²y/dx² = ((5y + 8) (2y - 3x + 5) + (3 - 5x) (6 - 2x + 3y)) / (2y - 3x + 5)³

d²y/dx² = (10y² + 50y - 30xy + 10x²  - 60x + 58) / (2y - 3x + 5)³

Answer:

The 3rd one as it's cubic

Answer:

The first one.

Step-by-step explanation:

Find the asymptotes.

Vertical Asymptotes: x = − 2

Horizontal Asymptotes: y = 3

No Oblique Asymptotes

So it has to be y=(1)/(x+2)+3

Answer:

JJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJ

Step-by-step explanation:

The square root of 36 and 361 are 6 and 19 respectively.

A number when taken square root gives an integer is a perfect square number.

Given, we have to find the square root of 26 and 361.

Now by prime factorization,

36 = 2×18 = 2×3×6 = 2×3×2×3 = 2×2×3×3 = 2²×3².

Now the square root of 2²×3² = √2²×√3² = 2×3 = 6.

The square root of 361 can be found by knowing the square root of 400 which is 20.

Now we'll check if 19² = 361 indeed 19×19 = 361 so, the square root of 361 is 19.

learn more about square roots here :

https://brainly.com/question/25155566

#SPJ5

0.31 rounded to the nearest tenth would be 0.3

This Chart should help you in the future:

Answer:

x = 4

Step-by-step explanation:

−12=−48

-12x=-48−12x=−48

−12−12=−48−12

x = 4

Answer:

204 ounces or it is 24 ounces

Step-by-step explanation:

Sorry if it is wrong

Answer:

f(3)=20

Step-by-step explanation:

Answer:

y+3=12

y=12-3

y=9

x-3=15

x=15+3

x=18

so,x=12

y=18

Hello there! (:

12y-32=4y

12y-4y=32

8y=32

Divide both sides by 8 in order to get y on its own:

y=4

Hope it helps!

~SparklingFlower (:

Answer:

b. none of these

Step-by-step explanation:

none of them have a 90⁰ angle