Factor completely −5x3 10x2. Prime −x(5x2 − 10x) 5x(−x2 2x) −5x2(x − 2).

Answer:

5x2−115x+49

Step-by-step explanation:

hope it helps

5x²-115x+49 is the required dividend.

A dividend is a number that is being divided, if 2x is a dividend and 2 is a divisor, then it gives remainder 2, when 2x is divided by 2.

The given polynomial is,

5x²-13x+47-102x+2

To find dividend, simplify this polynomial,

5x²-115x+49

This is the required dividend.

To learn more about Dividend on:

https://brainly.com/question/21291606

#SPJ2

Answer:

[tex]3(x - \frac{ - 7 + \sqrt{73} }{6} )(x - \frac{ - 7 - \sqrt{73} }{6} )[/tex]

Step-by-step explanation:

Here is your answer ☝

For second one

Vertex is (-3,0)

There is only one x intercepts

Answer:

vertex = (-3, 0)

axis of symmetry: x = -3

one real root at x = -3

Step-by-step explanation:

The vertex is the turning point of the curve (so the maximum point for parabolas that open downwards, and the minimum point for parabolas that open upwards)

The axis of symmetry is the vertical line that goes through the vertex of a parabola.  So this will be the line of the x-value of the vertex.

The roots of a parabola are the points where the curve intersects (or touches) the x-axis.  

First graph

vertex = (3, -4)

axis of symmetry: x = 3

roots: x = 1, 5

Second graph

vertex = (-3, 0)

axis of symmetry: x = -3

one real root at x = -3

Answer:

$12 would be the correct answer :)

SOLUTION:

=) (a + 2a)/3a

=) 3a/3a

=) 1

Answer:

10 is B. 9 is 28.8

Step-by-step explanation:

Answer:

x = -1, y = 2

Step-by-step explanation:

plug the first equation into the second to get: 4x-20x=16

simplify: -16x=16

therefore, x = -1, and y = 2

Answer:

840

Step-by-step explanation:

b x h = 42 x 20

Answer:

no haha

Step-by-step explanation:

Answer:

your answer is D.45 degrees

Answer and explanation:

There's 3 one dollar bills

2 five dollar bills

and 2 ten dollar bills

and 1 twenty dollar bill

3+2+2+1=8

Part A: The probability of selecting 5 is 2/8 and the probability of selecting 10 is also 2/8 and both of them are the same, 1/4.

Part B: The probability of selecting a one dollar bill is 3/8 and the probability of selecting a twenty dollar bill is 1/8 because there are 3 one dollar bills in 8 bills and 1 twenty one dollar bill in 8 bills only.

Answer:

Step-by-step explanation:

This is called a 'System of equations'.

Say that you have these two expressions, and the unknown is "b".

5b = y

4b+2 = y

Now we can solve two ways; graph it or solve it.

Solving it, we can see that they both equal y, so:

5b=4b+2

move 4b to the left side by subtraction:

(5b-4b) =2

b = 2

let's see what y equals when b = 2

5 * 2 = y

10 = y

Graphing it we see they intersect, or solve at

(2,10) or b=2, y=10

Hope this helps!

Answer:

The answer is 11/35, Hope this helps!

Stay safe, and have a very nice rest of the day!

Answer:

1   1   5

6÷5=6

Step-by-step explanation:

Answer:

440$

Step-by-step explanation:

55 x 4=220

50 x 4=200

440$

I hope this is correct if not im sorry

Answer:

$ 205

Step-by-step explanation:

55+50x

x= number of hours minus the first hour (3)

so 55+50(3) = $205

Answer:

f(x)=-4x-1

Step-by-step explanation:

f(x)=ax+b

a=-4/slope

b=-1/y-intercept

f(x)=-4x-1

Answer:

Philip, after 12 seconds, is 13.44 meters farther ahead after 12 seconds

Step-by-step explanation:

Philip

6.59 x 12 = 79.08

Mary

5.47 x 12 = 65.64

79.08 - 65.64 = 13.44

Answer:

-3y -15

Step-by-step explanation:

2y - 5(y-3) = 2y -5y - 15

                = -3y -15

Your welcome, and feel free to comment if you need have any questions!

The simplified value of the expression, 2y−5(y−3) using the Distributive property is 15- 3y.

Given Expression:

2y−5(y−3)

Using Distributive property

[tex]{\text} a *(b+c) = (a *b) + (a*c)[/tex]

So, applying the Distributive property in the expression  5(y - 3) gives

5(y - 3) = 5y - 15

Substituting the value 5y - 15 in 2y−5(y−3) as

2y−5(y−3) = 2y - (5y-15)

                 = 2y - 5y + 15

Now, operating the simplified value is

2y−5(y−3) = 15 - 3y

Thus, the simplified expression is -3y + 15.

Learn more about Expression here:

https://brainly.com/question/34132400

#SPJ6

Answer: the cost of the couch is 664 and the cost of the coffe table is 332

Step-by-step explanation:

X is the cost of the coffee table and 2x is the cost of the couch (which is two times more than the coffee table)

2x + x = $996

3x = $996

x = 996/ 3

x = $332 (this is what the coffee table cost)

2x => 2(332)

2x => $664 (the cost of the couch which is two times the cost of the coffee table)

together, $332 + $664 = $996 total

Answer:

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = 3.14 \times {7}^{2} \\ = 3.14 \times 49 \\ = 153.86 \: {km}^{2} \\ [/tex]

Answer:

First term: 6

Common difference:  15/4

Step-by-step explanation:

General form of arithmetic progression:

[tex]a_n=a+(n-1)d[/tex]

(where [tex]a[/tex] is the initial term and [tex]d[/tex] is the common difference between terms)

Question (a)

[tex]\implies a_3=a+(3-1)d=a+2d[/tex]

[tex]\implies a_9=a+(9-1)d=a+8d[/tex]

[tex]\implies a_{25}=a+(25-1)d=a+24d[/tex]

Question (b)

General form of a geometric progression:  [tex]a_n=ar^{n-1}[/tex]

(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)

Therefore, the first three terms of a geometric series are:

[tex]a_1=ar^0=a[/tex]

[tex]a_2=ar^1=ar[/tex]

[tex]a_3=ar^2[/tex]

To find the common ratio:

[tex]r=\dfrac{ar^2}{ar}=\dfrac{ar}{a} \implies \dfrac{a_3}{a_2}=\dfrac{a_2}{a_1}[/tex]

If the 3rd 9th and 25th terms of an arithmetic progression form the first three consecutive terms of a geometric series, then inputting these into the above formula for r:

[tex]\implies \dfrac{a+24d}{a+8d}=\dfrac{a+8d}{a+2d}[/tex]

[tex]\implies (a+24d)(a+2d)=(a+8d)(a+8d)[/tex]

[tex]\implies a^2+26ad+48d^2=a^2+16ad+64d^2[/tex]

[tex]\implies 10ad=16d^2[/tex]

[tex]\implies 10a=16d[/tex]

The 6th and 7th terms of the arithmetic progression are:

[tex]a_6=a+5d[/tex]

[tex]a_7=a+6d[/tex]

If the sum of the 7th and twice the 6th term of the arithmetic progression is 78, then:

[tex]\implies a_7+2(a_6)=78[/tex]

[tex]\implies (a+6d)+2(a+5d)=78[/tex]

[tex]\implies 3a+16d=78[/tex]

Substituting  [tex]10a=16d[/tex]  into  [tex]3a+16d=78[/tex]  and solving for a:

[tex]\implies 3a+10a=78[/tex]

[tex]\implies 13a=78[/tex]

[tex]\implies a=6[/tex]

Substituting [tex]a=6[/tex] into  [tex]3a+16d=78[/tex]  and solving for d:

[tex]\implies 3(6)+16d=78[/tex]

[tex]\implies 16d=60[/tex]

[tex]\implies d=\dfrac{15}{4}[/tex]

Answer:

$1248

Step-by-step explanation:

I = 960 x 3 x 0.1

= 2880 x 0.1

= $288

Amount

= 960 + 288

= $1248

Answer:

x = 10

Step-by-step explanation:

61 - 21 = 40
40 / 4 = 10
x = 10

Answer:

Distributitive Property

Step-by-step explanation:

The correct justification for the first step in solving the provided equation is that the first step should be distributive Property

Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.

The equation given in the problem is,

[tex]3(x - 4) + 1 = 12x[/tex]

To solve the above equation, we need to open the brackets of the equation. To do this, we need to use the distributive property of the equality.

This can be done by multiplying the number 3 inside the bracket (x-4). This operation simplify the equation, to solve it further. Therefore,

[tex]3x - 3\times4 + 1 = 12x\\3x - 12 + 1 = 12x[/tex]

Hence, the correct justification for the first step in solving the provided equation is that the first step should be distributive Property.

Learn more about the property of equality here;

https://brainly.com/question/1601404

Answer:26!

Step-by-step explanation:

((23) -  4) +  ((52 -  6) +  3)

(23 -  4) +  22

26

Hope this helps! ^w^

Answer:

3(x-2)

=3x-6

by using BODMAS

Answer:

Step-by-step explanation:

↝m√p + n√p -√p

↝√p(m+n-1)

↝(m+n-1)√p = √p(m+n-1)

↝(m-n+1)√p ≠ √p(m+n-1)

↝(m-n-1)√p ≠√p(m+n-1)

hence, option 1st is correct ✓

Option A

Let's verify

[tex]\\ \rm\Rrightarrow (m+n-1)\sqrt{p}[/tex]

[tex]\\ \rm\Rrightarrow m\sqrtp}+n\sqrt{p}-\sqrt{p}[/tex]

Hence verified