PLEASE HELP!!
complete the square to find the minimum value of the equation x^2+16x-36=0.
x=

Answer:

[tex]b=-5, -7[/tex]

Step-by-step explanation:

We have the equation [tex]b^2+35=-12b[/tex] and we want to solve it by factoring.

First, let's move all the stuff to one side so that the other side is 0. So, let's add [tex]12b[/tex] to both sides. This yields:

[tex]b^2+12b+35=0[/tex]

Let's review how to factor. If we have an equation in the following form:

[tex]ax^2+bx+c=0[/tex]

Where a, b, and c are the coefficients of the variable (in our example, our variable is b), then we must find two numbers, p and q, such that:

[tex]pq=ac \text{ (p times q equals a times c) and}\\p+q=b \text{ (p plus q equals b)}[/tex]

Our equation can be rewritten as:

[tex](1)b^2+(12)b+(35)=0[/tex]

So, our a is 1, b is 12, and c is 35.

Therefore, we need to find two numbers that when multiplied together yields a(c) = 1(35) = 35 and we added together yields b = 12.

From here, we just have to guess and check. We can start by listing all the factors of 35. There aren't in fact that many:

[tex]35: 1\text{ and } 35, 5\text{ and } 7[/tex]

1 + 35 is 36, not 12. However, 5 + 7 is indeed 12. So, our two numbers p and q are 5 and 7.

Now what we've found our two numbers, we substitute the b term for our two numbers. We have:

[tex]b^2+12b+35=0[/tex]

We will substitute 12b for 5b + 7b:

[tex]b^2+5b+7b+35=0[/tex]

From here, we factor by grouping. From the first two terms, factor out a b:

[tex]b(b+5)+7b+35=0[/tex]

And from the last two terms, factor out a 7:

[tex]b(b+5)+7(b+5)=0[/tex]

Now, notice that both terms have a [tex](b+5)[/tex]. So, by using grouping or the reverse of the distribute property, we can write:

[tex](b+7)(b+5)=0[/tex]

Notice that if we distribute the left term into the right, we get [tex]b(b+5)+7(b+5)=0[/tex], so our equation is indeed equivalent.

So now we. have:

[tex](b+7)(b+5)=0[/tex]

We can now use the Zero Product Property to acquire:

[tex]b+7=0\text{ or } b+5=0[/tex]

Solve for b for each case. Therefore, the solutions of our equation are:

[tex]b=-7\text{ or } b=-5[/tex]

Notes:

If we can't find two numbers p and q that satisfy our conditions, this means that the equation cannot be factored. So, we will use alternative methods to solve our equation.

Answer:

p = 1

Step-by-step explanation:

p - 1 = 5p + 3p - 8(collect like terms)

p - 1 = 8p - 8(add 1 on each side)

p = 8p - 7(subtract 8p on each side)

-7p = -7 (divide by -7)

p = 1

Answer:

in 4 years

Step-by-step explanation:

because you should find the 20% of 150

150×20=3000

3000÷100= 30

so 20% of 150 is 30

then you keep adding 30 to the results till you reach 300

The equation is 150+30x=300 and it takes 3 years for the company to earn $300.

Given that, a small business begins with $150 and grows by 20% each year.

We need to find when will the company's income by $300.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, 20% of 150=30

Let x be the number of years.

So, f(x)=150+30x

⇒150+30x=300

⇒30x=150

⇒x=3

The equation is 150+30x=300 and it takes 3 years for the company to earn $300.

To learn more about the equations visit:

https://brainly.com/question/10413253.

#SPJ2

Answer:

144 minutes

Step-by-step explanation:

The equation will be 14 + 0.25x = 50

50 -  14 = 36

0.25x = 36

36/0.25 = 144 minutes

Answer add 6.4 to each side explanation:

Answer:

1680 pounds

Step-by-step explanation:

Given that :

Weight of yellow fin tuna = 380 pounds

Weight of bluefin tuna = 620 pounds

If one fish of each species were caught per day

about how many more pounds of bluefin tuna than yellowfin tuna would be caught in a​ week?

Total pound of bluefin tuna caught in a week:

7 * 620 = 4340

Total pound of yellow tuna caught in a week:

7 * 380 = 2660

(4340 - 2660) = 1680 pounds

Answer: -25/42

Step-by-step explanation: For multiplying fractions, it’s multiplying numerator by numerator and denominator by denominator. 5 x 5 = 25 and 6 x 7 = 42 and then add the - since it’s negative. It can not simplify

Answer:

B

Step-by-step explanation:

5t + 12 = 132

We know the price of parking and we know what they paid in total. There are 5 members with the unknown price.

Answer:

B

Step-by-step explanation:

You're trying to find how much a ticket, which is t. you need 5 tickets for the family, plus the twelve dollar fee which is there anyways for the car, and it add up to 132. subtract 12 from 132 and you get 120. 120 divided by 5 is 24. so 24 dollars for a ticket, but the equation you would need is 5t+12=132

Answer:

1) 110*,     2) 84*,       3) 80*

Step-by-step explanation:

         These are intersected parallel lines (with only 1 intersecting line), so having missing angles in the questions 1 and 2 opposite from the shown angle is giving the answer away. However, on answer 3, it is on the same side, so for that angle you will need to subtract the angle of the intersecting line by 100* to get 80*. Check by adding the two. 100* + 80* = 180*. Hope this helps.

Answer:

Please your question isn't complete.

Answer:

20 boys and 30 girls

Step-by-step explanation:

Hope this helps!!!

Answer:

Option B is correct 1/4.

Step-by-step explanation:

To find : Which number produces a rational number when added to 0.5?

Solution :

A rational number is defined as number written in simple fraction or in p/q form.

An irrational number is defined as number which cannot be written in p/q form.

We know that,

A rational number adding a rational number gives you a rational number.

A rational number adding an irrational number gives you a irrational number.

Now we take each option and check.

Option A : -1.73205081…

Number has no end and have infinite number of digits so it is irrational number.

No, this number not produce a rational number.

Option B : 1/4=0.25

Number is in form p/q so it is rational number.

Yes, this number produce a rational number.

0.25+0.5=0.75 a rational number.

Option C : 0.54732871…

Number has no end and have infinite number of digits so it is irrational number.

No, this number not produce a rational number.

Option D : \sqrt{3}

\sqrt{3} cannot be written in ratio so it is irrational number.

No, this number not produce a rational number.

Answer:

74.22

Step-by-step explanation:

You are supposed to add 52.39+21.83 because of part whole postulate (PWP) So, now you get 74.22, which is your answer.

Answer:

38

Step-by-step explanation:

Hope this helps!!

Answer:

10 > 6q

Step-by-step explanation:

Assuming you are asking what this word problem looks like as an equation, then it would be:

10 > 6q

Answer:

k= h/7 + p/7 +4

Answer:

2.5

Step-by-step explanation:

log8(32^1.5)=2.5

Answer:

See Below

Step-by-step explanation:

Solve by substituting

-4 = 3x + 2

-2          -2

-6 = 3x

3x/3 = -6/3

x = -2

Answer:

x = -2

Step-by-step explanation:

So we are given the function f(x) = 3x + 2 and we are asked to find the value of x that makes f(x) = -4. To do this, we can replace f(x) with -4 in the given function and solve for x.

-4 = 3x + 2

Swap sides.

3x + 2 = -4

Subtract 2 from both sides.

3x = -6

Divide both sides by 3.

x = -2

So we have found that x = -2 when f(x) = -4. This means that when x = -2, f(x) = -4.

I hope you find my answer and explanation to be helpful. Happy studying.

what? there are no images, i have no idea what you are saying

Answer:

$29.99*0.6667%= $19.99= markdown price

Step-by-step explanation:

Mkae me the brainlist plssss

Answer:

$29.99*0.6667%= $19.99= markdown price

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

Answer:

-625

Step-by-step explanation:

-5× -5 = 25

25 × 25= 625

Answer:

Angle 3 is 65

Angle 8 is 115

Step-by-step explanation:

The answer is 405 because if you multiply 3 and 135 that would lead you to your answer.