Factor completely
[tex]3x²+20x-7[/tex]
Please show all workings

Answer:

43xx

Step-by-step explanation:

5x(2x+7)+x(3x-5)

first, do the equations inside the parentheses

2x+7=9x

3x-5=-2x

so,

5x(9x)+x(-2x)

Next, do 5x times 9x

(5x) x (9x) = 45

so,

45+x(-2x)

Next, do x times (-2x)

(x) x (-2x)=-2xx

so,

45+-2xx

=43xx

Answer:

504

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

The square root of 1764 (or root 1764), is the number which when multipiled by itself give the product as 1764. Therefore the square root of 1764 = √ 1764 = 42.

Answer:

I believe that this is what you mean. (y^3+3y+7)*(8y^2+y+1)

Step-by-step explanation:

So your answer would be: 8y^5+y^4+25y^3+59y^2+10y+7

Have a nice day!

I really hope this helps!

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for [tex]p[/tex] such that [tex]1000p(1-p)[/tex] is maximized. Once we have that [tex]p[/tex], we can easily find the answer to part b.

Finding the value that maximizes [tex]1000p(1-p)[/tex] is the same as finding the value that maximizes [tex]p(1-p)[/tex], just on a smaller scale. So, we really want to maximize [tex]p(1-p)[/tex]. To do this, we will do a trick called completing the square.

[tex]p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4[/tex].

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of [tex]p[/tex] such that the inner part of the square term is equal to [tex]0[/tex].

[tex]p-1/2=0\\p=1/2[/tex].

So, the answer to part a is [tex]\boxed{1/2}[/tex].

We can then plug [tex]1/2[/tex] into the equation for p to find the answer to part b.

[tex]1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250[/tex].

So, the answer to part b is [tex]\boxed{250}[/tex].

And we're done!

Answer:

Step-by-step explanation:

±7,±8,±13

for something to be factorable it must add to b and mulitply to c

list all the numbers that mulitply to 12

1,12

2,6

3,4

-1,-12

-2,-6

-3,-4

Then just take their sum

13,8,7,-13,-8,-7

Answer: 3.3

Step-by-step explanation: pythagorean theorem.

first we'll do the bottom triangle. a^2 + b^2 = c^2

a=3 and b=4

(3)^2 + (4)^2 = 9 + 16 = 25 which = c^2

to find c from c^2, square root the c^2 value. in this case it's 25. the square root of 25 is 5.

5 is now the base of the rectangle

now we can do pythagorean theorem again. except we'll switch it so it's c^2 - b^2 =a^2

c=6 and b=5

(6)^2 - (5)^2 = 36 - 25 = 11 = a^2

to find a we'll square root 11 which is just [tex]\sqrt{11[/tex]. approx. 3.3 to the nearest tenth.

We can use the Pythagorean theorem to solve for x.

But first, we have to find the value of 'a' (as I labelled in the diagram below). We could actually do all this in one step if we set it up correctly.

so    x = √(6² - a²)

&     a² = 3² + 4²

⇒  x = √[6² - (3² + 4²)]

    x = √(11)   or ≈ 3.3167

Answer:

At least 66%

Step-by-step explanation:

65% of 18 is 11.7

67% of 18 is 12.06

Therefore, at least 66% of the shots where made by Michael.

Step-by-step explanation:

100% = 18

x% = 12

x% = 100% / 100 × x

so,

18/100 × x = 12

18x = 1200

x = 1200/18 = 200/3 ≈ 66.66666...

so, he made about 67% of the shots.

Answer:

Step-by-step explanation:

428÷107

Use the 1 st

 digit 4 from dividend 428

107)1

107)428

​

​ Since 4 is less than 107, use the next digit 2 from dividend 428 and add 0 to the quotient

107)02

107)428

​

​Use the 2nd

 digit 2 from dividend 428

107)03

107)428

​

​

Since 42 is less than 107, use the next digit 8 from dividend 428 and add 0 to the quotient

107)004

107)428

​

Use the 3rd

 digit 8 from dividend 428

107)005

107)428

​

​ Find closest multiple of 107 to 428. We see that 4×107=428 is the nearest. Now subtract 428 from 428 to get reminder 0. Add 4 to quotient.

107)0046

107)428

​

 107)428

​

 107)9990

​

 Since 0 is less than 107, stop the division. The reminder is 0. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

Quotient: 4

Reminder: 0

Hello!

Answer:

-11

Hope this helps!

Answer:

7.0564516129

Step-by-step explanation:

Use 175 and divide 24 4/5 from that, then you find out how much the land moves each year.

Answer:

[tex](gof)(x) = -5 {x}^{2} + 35x + 34[/tex]

Step-by-step explanation:

[tex](gof)(x) = g(f(x)) \\ = - 5( {x}^{2} - 7x - 9) - 11 \\ = - 5 {x}^{2} + 35x + 45 - 11 \\ = - 5 {x}^{2} + 35x + 34[/tex]

I hope I helped you^_^

Answer:

No

Step-by-step explanation:

65/126 = 0.5158730..

1/4=0.25

The 65/126 (0.5)  is not less than the 1/4 (0.25)  which means that the given statement 1/4 is More than 65/126

How long the meeting last = End time - Starting time

                =  10:25 - 9:30

                =  9:85 - 9:30   [I converted 10:25 to make it easier to see the

                                           subtraction. This is posibble because 1hr = 60mins]

                = 55 mins

Answer:

308

Step-by-step explanation:

first you divide all three numbers by the smallest counting number,in this case, it is a '2' . keep on dividing with other numbers until when you reach a point where the remainder is indivisible, that is to say numbers like 7,11,5 etc.

Answer:

14, which is B.

Step-by-step explanation:

Plug in -2 in your function.

f(-2) = 8-3(-2)

= 8 - (-6)

= 8 + 6 = 14

Answer:

The answer is 877.333333333

Answer:

877.333333333

Step-by-step explanation:

329*56 divided by 21 = 877.333333333

Answer:

2

Step-by-step explanation:

(7^1/2)^2=7^(1/2*2)=7

Answer:

lines FI and GH

Step-by-step explanation:

both lines are neither parallel nor intersecting and aren't on the same plane

[tex]\bf\red{CD}[/tex]

Answer:

1) x² + x

2) 2x² - x

3) 4x² + 3x

4) 2x² - 3x

5) 4x - 3x²

6) x + x²

Step-by-step explanation:

Answer:

if you need to know the total, it would be $1.60 :)

Answer:

The 2nd answer would be the correct option.

Step-by-step explanation:

Hope this helps:) Also can I have brainliest if possible:) It is ok if you can not.

Answer:

i) x = 6 and y = 9

ii) x = 10 and y = 5

iii) x = 9 and y = 10

not entirely sure about the last one

Step-by-step explanation:

not sure how to explain but trust

The hourly fee is $3.00 per hour.

It is required to find the hourly fee for the rototiller.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let h represents the hourly fee.

Let C be the total charge and t be the rental time in hours.

C = ht + 43

Putting the given values into the equation, we get:

64 = 7h + 43

7h = 21

h = 3

Therefore, the hourly fee is $3.00 per hour.

Learn more details about arithmetic here:

https://brainly.com/question/11559160

#SPJ2

Answer:

1) x= -8

2) x=7

Step-by-step explanation:

1) x+88+x+108 = 180 ( co-interior angles)

=> 2x+ 196 = 180

=> 2x= 180-196

=> 2x= -16

=>x= -16/2

=>x= -8

2) 7x+6=8x-1

=>7x-8x= -1-6

=>-x= -7

=>x= 7

Answer:

option number 3

Step-by-step explanation: