Which equation is true when k= -15

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:

The bottom right which I believe is D.

Step-by-step explanation:

All the other lines are increasing meaning they are going upward from left to right. The only one that isn't increasing is D and its decreasing.

Answer:

its c on edge

Step-by-step explanation:

Answer:

C. The risk of dying prematurely declines as people become more physically active.

Explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.

Answer:

I think that Trump will win because 4 years ago no one thought he was going to but he did anyway

I want none of them to win because I dislike both of them.

Answer:

b. the degree is 3

Step-by-step explanation:

degree is the highest exponent

Answer:

$1725

Step-by-step explanation:

15 percent of 1500 = 225 and then you add 225 to 1500, 225 + 1500 = 1725

Answer:

A postulate is a statement that is assumed to be true based on basic geometric principles. A theorem is a mathematical statement that can and must be proven to be true.

Step-by-step explanation:

www.ck12.org

Answer:

A thorem is true and can be proven true vs a postulate is guessed true without any evidence.

Step-by-step explanation:

A theorem is a group of statements that are used to prove something else, whereas a postulate is a statement that is not proved but is true through reasoning.

Answer:

?

Step-by-step explanation:

Answer:

a+12

Step-by-step explanation:

Distribute the -3 to (2a-4) so you get -6a+12

then it is 7a-6a+12, which is a+12.

If you need an actual number then a+12=0 is a=-12, if you just needed to simplify it, then a+12

Answer: function

Step-by-step explanation: I'm not totally sure so I hope this helps

Answer:

625

Step-by-step explanation:

(-5)^4 = 625

Answer:

∠1 = 81°

Step-by-step explanation:

∠1 and 81° are corresponding angles and corresponding angles are equal to each other.

The measure of ∠1 in the figure is 81°.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given is a figure of two parallel lines which is cut by a transversal line.

There are many properties for the angles formed by the transversal lines.

One of the property is that corresponding angles are equal.

Corresponding angles are the pair of angles which are on the same side of each parallel lines and at the same side of the transversal but at different intersections.

In the given figure,

∠1 and 81°, ∠3 and ∠7, ∠2 and ∠6, ∠4 and ∠8 are corresponding angles.

Since ∠1 and 81° are corresponding angles ∠1 = 81°.

Hence, measure of angle 1 is 81 degrees.

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Answer:

50% decrease

Step-by-step explanation:

49.99 - 29.99 = 25

25

---- = 0.5(100) = 50%

49.99

Answer: I dont know witch one you want me to round so I will do both. $49.99 = $50.00 and $24.99 = $25.00 and if you want to add them it would be $75.00

Answer:

The y-intercept represents the temperature at the start, before any time has passed.

In the scenario, y intercept represents the temperature which starts from 8 °F.

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

In the given graph,

x-axis shows time in hours,

And y-axis shows temperature in Fahrenheit.

Since, the y-intercepts shows the value where x=0, or the values of y-axis.

In the given graph,

The y-axis shows the temperature.

Therefore, y intercept represents the temperature which starts from 8 °F.

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Answer:

The answer is 3/7

Step-by-step explanation:

Answer:

That number rounds to the nearest hundredth to this number: 382.99

Answer:

i think it is B

Step-by-step explanation:

i am not 100% sure

Answer:

B.

Step-by-step explanation:

-10 = -5 (v-4)

-10=-5v+20

-30=-5v

6=v

The perimeter of the basketball hoop is 18π inches.

The circumference of a circle can be found using the formula:

C = πd

where C is the circumference and d is the diameter of the circle.

In this case, the diameter of the basketball hoop is approximately 18 inches. So we can plug this value into the formula to get:

C = π(18)

Using a calculator or approximating π to 3.14, we can evaluate this expression to get:

C ≈ 56.52 inches

Therefore, the circumference of the basketball hoop is approximately 56.52 inches.

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Answer:

BC

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

The objective is to get x by itself, so to do that we need to subtract three from both sides:

x + 3 = 12

      -3    -3

12-3= 9.

So, x=9.

Hope this helped!

Answer: x=9

x+3=12

1x+3=12

      -3

   =9

1x =9    --->  1x/1   9/1

/1   /1    --->  1x/1   9/1

x=9

Step-by-step explanation:

sorry if this doesn't make sense

Answer:

triangle, square, circle, pentagon, and horcux.

jk whats the question

Step-by-step explanation:

Hey there!

Answer:

One, two, three, delta, pi, hexagon, octagon, pentagram....

Step-by-step explanation:

Name another name of what??

Your question doesn't make a lot of sense but I thought that maybe I could share a few really cool shape and number names that maybe you didn't know!

Hope you enjoy!

:D

Answer:

[tex]2187[/tex]

Step-by-step explanation:

[tex]\frac{3^3}{3^-^4}[/tex]

When attempting to solve this, we have to consider the exponent rule of fractional exponents:

[tex]\frac{x^a}{x^b} =x^a^-^b[/tex]

Therefore, our initial problem would become:

[tex]3^3^-^(^-^4^)\\[/tex]

Two negatives become positive:

[tex]3^3^+^4[/tex]

Add:

[tex]3^7[/tex]

[tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex]

[tex]= 2187[/tex]

Answer:

28.3

Step-by-step explanation:

Answer:

A proportional relationship exists between two values x and y when they can be expressed in the general form.       Hope this helps

Step-by-step explanation:

Answer:

m=3/4

Step-by-step explanation:

See the attached above.

Hope it helps :)

The slope of line passing through M (-3,5) & N (1,8) will be 3/4.

We have been given a line passing through points M (-3,5) & N (1,8) .

We have to find out what will be the slope of the line ?

What is the formula for slope of a line ?

Slope of line is given by , m = (y2-y1) / (x2-x1).

Given that line is passing through points M (x1 , y1) and N (x2,y2) or M (-3,5) & N (1,8).

here , x1 = -3 , y1 = 5 , x2= 1 . y2 = 8

The slope (m) of line will be ;

∵ m = ( y2-y1) / (x2-x1)

m = ( 8-5) / (1- (-3))

m = 3 / 4

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Answer:

0.6 hours

Step-by-step explanation:

50t=300(t-3)

50t= 300t - 900

-250t=-900

t=3.6

dont forget to subtract supermans time as well

3.6-3= 0.6

Answer:

0.6 hours

Step-by-step explanation:

Answer:

y = -9

Step-by-step explanation:

Step 1: Write equation

y + 7 = -2

Step 2: Solve for y

Step 3: Check

Plug in y to verify it's a solution.

Answer:

not very good

Step-by-step explanation:

the correlation should be almost 1  to be a good representation of the data. 0.82 isn't very close.  This would be a pretty "rough" approximation at best.  Maybe that's all that's needed but usually something close to 1.. like 0.99 is needed.

Answer:

y = 300

x = 200

Step-by-step explanation:

Esta pregunta parece incompleta, parece que acá tenemos un sistema de ecuaciones:

x + y = 500

10*x + 20*y = 8000

Estas ecuaciones tienen que resolverse en conjunto, y de acá sacaremos un par de puntos (x, y) que son solución para ambas ecuaciones.

El primer paso para resolver esto es aislar una variable en una de las ecuaciones, en este caso podemos aislar x en la primera ecuación y así obtener:

x = 500 - y.

Ahora podemos reemplazar eso en la segunda ecuación y obtener:

10*(500 - y) + 20*y = 8000.

Ahora resolvemos esto para y.

5000 - 10*y + 20*y = 8000

10*y = 8000 - 5000 = 3000

y = 3000/10 = 300.

Y sabíamos que:

x = 500 - y = 500 - 300 = 200

Entonces la solución es:

y = 300

x = 200