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4 years ago

Help me please asap!

Mathematics

1 answer:

ad-work [718]4 years ago

8 0

Answer:

Step-by-step explanation:

First you must notice each of them share an x value in the exponent. So with that being said x is your GCF or in otherwords greatest common factor.

So you have an x(x^3-6x^2+9x)

you must take x from all of them inside the ( )

because x is your gcf :)

So x(x^2-6x+9) Now you use the trail and method error

to get (x-3 )(x-3 )you need two numbers that multiply to 9 but add up to -6 so... that would hmmm -3 and -3 cause -3*-3=9 and -3+-3=-6

don't forget your GCF bring it down because it's always in your answer

x(x-3)(x-3)

or..

x(x-3)^2 both are the same thing

ANSWER CAN BE

x(x-3)(x-3) OR x(x-3)^2

Both are the same thing just written different! You're welcome!

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Which expression is a simplified form of –10g – 4h^2 + 15g – 8h^2 – 4?

igomit [66]

Hi there!

»»————-　★　————-««

I believe your answer is:

$-12h^2+ 5g-4$

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

$-10g -4h^2+15g-8h^2-4\\------------------\\\rightarrow -10g+15g -4h^2-8h^2-4\\\\\rightarrow 5g - 12h^2 - 4\\\\\rightarrow \boxed{-12h^2+5g-4}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

8 0

3 years ago

Read 2 more answers

What is the area of the composite figure shown

Greeley [361]

So, We Know That The Figure Shown Is A Square. So, We Need To Find The Area:
70*70 = 4900.

So, We Have:
490 - (Area Of The Triangle) = A

So, Lets Find The Area Of The Triangle.

(35*70)/2
Well, 35*70 = 2450.
So:
2450/2 = 1225.

Now, Do:

4900 - 1225 = A

4900 - 1225 = 3675

So:
3675cm² = A

8 0

3 years ago

A police officer is chasing a purse-snatcher down a street. The thief starts 9 meters ahead of the officer and can run 20 meters

lions [1.4K]

Answer:

If you want them at the same exact point then since the theif is 9 steps ahead it

will take 3 seconds

Step-by-step explanation:

Robber:

starts at 9

starts at 9add on 5 and you get 14

starts at 9add on 5 and you get 14add 5 more you get 19

starts at 9add on 5 and you get 14add 5 more you get 19and another 5 would give you 24

Police:

is at 0 meters

add 8 any you get 8

add 8 more and you get 16

and another 8 would get you to 24

6 0

3 years ago

Solve for x 0=3x^2+3x+7

Aloiza [94]

Answer:

x =(3-√-75)/-6=1/-2+5i/6√ 3 = -0.5000-1.4434i

x =(3+√-75)/-6=1/-2-5i/6√ 3 = -0.5000+1.4434i

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

0-(3*x^2+3*x+7)=0

Step by step solution:

Step 1:

Equation at the end of step 1 :

0 - (( $-3x^{2}$ + 3x) + 7) = 0

Step 2:

Pulling out like terms:

2.1 Pull out like factors:

$-3x^{2}$ - 3x - 7 = -1 • ( $3x^{2}$ + 3x + 7)

Trying to factor by splitting the middle term

2.2 Factoring $3x^{2}$ + 3x + 7

The first term is, $3x^{2}$ its coefficient is 3 .

The middle term is, +3x its coefficient is 3 .

The last term, "the constant", is +7

Step-1 : Multiply the coefficient of the first term by the constant 3 • 7 = 21

Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is 3 .

-21 + -1 = -22

-7 + -3 = -10

-3 + -7 = -10

-1 + -21 = -22

1 + 21 = 22

3 + 7 = 10

7 + 3 = 10

21 + 1 = 22

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step 3 :

$-3x^{2}$ - 3x - 7 = 0

Step 3:

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = $-3x^{2}$ -3x-7

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -0.5000

Plugging into the parabola formula -0.5000 for x we can calculate the y -coordinate :

y = -3.0 * -0.50 * -0.50 - 3.0 * -0.50 - 7.0

or y = -6.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = $-3x^{2}$ -3x-7

Axis of Symmetry (dashed) {x}={-0.50}

Vertex at {x,y} = {-0.50,-6.25}

Function has no real roots

Solve Quadratic Equation by Completing The Square

3.2 Solving $-3x^{2}$ -3x-7 = 0 by Completing The Square .

Multiply both sides of the equation by (-1) to obtain positive coefficient for the first term:

$3x^{2}$ +3x+7 = 0 Divide both sides of the equation by 3 to have 1 as the coefficient of the first term :

$x^{2}$ +x+(7/3) = 0

Subtract 7/3 from both side of the equation :

$x^{2}$ +x = -7/3

Now the clever bit: Take the coefficient of x , which is 1 , divide by two, giving 1/2 , and finally square it giving 1/4

Add 1/4 to both sides of the equation :

On the right hand side we have :

-7/3 + 1/4 The common denominator of the two fractions is 12 Adding (-28/12)+(3/12) gives -25/12

So adding to both sides we finally get :

$x^{2}$ +x+(1/4) = -25/12

Adding 1/4 has completed the left hand side into a perfect square :

$x^{2}$ +x+(1/4) =

(x+(1/2)) • (x+(1/2)) =

(x+(1/2))2

Things which are equal to the same thing are also equal to one another. Since

$x^{2}$ +x+(1/4) = -25/12 and

$x^{2}$ +x+(1/4) = (x+(1/2))2

then, according to the law of transitivity,

(x+(1/2))2 = -25/12

We'll refer to this Equation as Eq. #3.2.1

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

(x+(1/2))2 is

(x+(1/2))2/2 =

(x+(1/2))1 =

x+(1/2)

Now, applying the Square Root Principle to Eq. #4.2.1 we get:

x+(1/2) = √ -25/12

Subtract 1/2 from both sides to obtain:

x = -1/2 + √ -25/12

√ 3 , rounded to 4 decimal digits, is 1.7321

So now we are looking at:

x = ( 3 ± 5 • 1.732 i ) / -6

Two imaginary solutions :

x =(3+√-75)/-6=1/-2-5i/6√ 3 = -0.5000+1.4434i

or:

x =(3-√-75)/-6=1/-2+5i/6√ 3 = -0.5000-1.4434i

6 0

3 years ago

Point F is at (0, -10) and point H is at (-6, 5). Find the coordinates of point G on line segment FH such that the ratio of FG t

Tanya [424]

Answer:

G(x,y)=(-4,0)

Step-by-step explanation:

We use the section formula:

$(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)$

Given:

$F(x_1,y_1)=(0, -10)\\H(x_2,y_2)=(-6, 5)\\FG:GH=m:n=2:1$

We substitute the values to get:

$G(x,y)=\left(\dfrac{2*-6+1*0}{2+1}, \dfrac{2*5+1*-10}{2+1}\right)\\=\left(\dfrac{-12}{3}, \dfrac{10-10}{3}\right)\\=\left(\dfrac{-12}{3}, \dfrac{0}{3}\right)\\\\G(x,y)=(-4,0)$

5 0

4 years ago