The cost of a mathematics textbook is 25 dollars.
A school gets a 15% discount because it buys 60 books
Calculate the total reduction in price.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve the given equation ~

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 = 49[/tex]

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 - 49 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x - 24 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:4( {x}^{2} + 5x - 6) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x - x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(x + 6) - 1(x + 6) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x + 6)(x - 1) = 0[/tex]

Hence, we get -6 and 1 as our roots ~

So, the correct choices are : B and D

Answer:

$25

Step-by-step explanation:

[tex]current \: selling \: price = 245 \\ 10 \: percent \: of \: 245 = \frac{10}{100} \times 245 \\ = 0.1 \times 245 = 24.5 \\ 25 \: to the nearest dollar \\ he \: will \: pay \: 25dollars \: less[/tex]

$25

PLEASE RATE AND MARK BRIANLIEST

Answer:

please add the picture for us to see.

Step-by-step explanation:

Answer:

$2600

Step-by-step explanation:

It is given that the variables:

A = total income

t = amount of TV they sell.

It is also given that they sold 9 TVs. Plug in 9 for t in the given equation:

A = 800 + 200t

A = 800 + 200(9)

A = 800 + 1800

A = 2600

$2600 is the total amount they will receive if they sell 9 TVs.

~

Answer is The measure of median angle is 0.700 radians.

Answer:

12

Step-by-step explanation:

I am in 12th grade and make straight A;s trust me

Answer:

it’s 60

Step-by-step explanation:

what you do is take the two middle numbers 50 and 70 add them both up get 120 then divide by 2 and get 60

Answer: lower death rates

Step-by-step explanation:

basically f(c) is like y and 95c is like 95x. to find the inverse function you basically just reverse x and y and then solve for y again.

y=95x+32

x=95y+32

x-32=95y

(x/95)-(32/95)=y

Answer:ur doomed dude I don’t know

Step-by-step explanation:

circumference= 37.68 km

the circle's radius.

[tex]r = \frac{c}{2\pi} [/tex]

[tex]r = \frac{37.68}{2\pi} [/tex]

[tex]r = 5.99696 \: km[/tex]

[tex]r =6 \: km[/tex]

Answer:

In RPGs a Character Class is a designation that determines a player's abilities and fighting style (and depending on the game possibly even their origin, education, and home area) often in the form of a job or archetype. A character class is defined by the abilities that it lends to a character — as such, two different characters with the same class are theoretically interchangeable, in that they have the same "power set" and can play the same role in gameplay because of their similar abilities. However, character class systems can come with varying levels of customization — ranging from characters of a given class being literally identical to having so much variety that character class is no longer even a good indicator of that character's abilities. While most common in fantasy Role-Playing Games, they have recently began to appear in other genres, such as trading card games and MOBAs.

Step-by-step explanation:

Answer:

3x + 12 + x = 4x + 12 becuase 3x and x are like terms so you can add them

4(3 + x) = 12 + 4x because 4 times 3 is 12 and 4 times x is 4x so you add them to get 12 + 4x which can be rearranged to equal 4x + 12

So in short: 3x + 12 +x is equivalent to 4(3+x)

Answer:

○ [tex]\displaystyle \textcolor{black}{C.}\:triangle[/tex]

Explanation:

This is a triangular prism. Its faces are triangular, but the lateral faces are rectangular. All prisms will have lateral faces shaped as rectangles. Do not ever forget this.

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

because nine is greater than one, you get one whole for each time you can fit 9 in 3. The answer will be 3. (3x3 is nine)

Answer: (2,-3)

Step-by-step explanation:

Al the points except (8, 2) will give us a true equation when substituted into the equaton, so, (8, 0) is not the graph of the equation.

Any coordinate point on a graph represented by an equation will give a true equation if the points are plugged into the equation and evaluated.

(8, 2) is not on the graph of y = 10 + x because substituting x = 8 and y = 2 into the equation will give us:

2 = 10 + 8

2 = 18 (not true).

The rest points will give us a true equation except (8, 2).

(8, 2) is not a point on the graph.

Learn more about point on a graph on:

https://brainly.com/question/19701097

Answer:

∠DBC = 155°

Step-by-step explanation:

Assuming that ABC is a straight line.

Angles on a straight line sum to 180°.

⇒ (2x² + 3x - 2) + ∠DBC = 180°

⇒ ∠DBC = 180° - (2x² + 3x - 2)

The sum of the interior angles of a triangle is 180°:

⇒ (x² + 1) + (4x + 3) + ∠DBC = 180°

⇒ ∠DBC = 180° - (x² + 1) - (4x + 3)

Therefore, we can equate the equations and solve for x:

⇒ ∠DBC = ∠DBC

⇒ 180 - (2x² + 3x - 2) = 180 - (x² + 1) - (4x + 3)

⇒ 180 - 180 = (2x² + 3x - 2) - (x² + 1) - (4x + 3)

⇒ (2x² + 3x - 2) - (x² + 1) - (4x + 3) = 0

⇒ 2x² + 3x - 2 - x² - 1 - 4x - 3 = 0

⇒ x² - x - 6 = 0

⇒ x² + 2x - 3x - 6 = 0

⇒ x(x + 2) - 3(x + 2) = 0

⇒ (x + 2)(x - 3) = 0

Therefore,  x = -2, x = 3

As angles are positive, x = 3 only

Substituting found value of x into the angle expressions:

⇒ ∠BDC = x² + 1 = (3)² + 1 = 10°

⇒ ∠DCB = 4x + 3 = 4(3) + 3 = 15°

The sum of the interior angles of a triangle is 180°:

⇒ ∠DBC  + ∠BDC + ∠DCB = 180°

⇒ ∠DBC = 180° - ∠BDC - ∠DCB

⇒ ∠DBC = 180° - 10° - 15°

⇒ ∠DBC = 155°

Sum of two interiors=exterior

Take it positive

Now

Now

<DBC=180-25=155°

Answer:

B

Step-by-step explanation:

So our equation currently is ⇒ [tex]x^2+y^2-10x+8y-8 = 0[/tex]

Let's first move all the constant to one side and group 'like variables' together:

      [tex](x^2-10x)+(y^2+8y) = 8[/tex]

Now lets complete the square of both equations

    [tex](x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2[/tex]

Now we know the circle's general equation format is:

   ⇒[tex](x-h)^2+(y-k)^2 = r^2[/tex]

Thus the radius of the circle is 7

Hope that helps!

Answer: 50 degrees

Step-by-step explanation:

Answer: The slope is 3

Step-by-step explanation:

The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Where

[tex](x_1,y_1)[/tex]= coordinates of the first point in the line

[tex](x_2,y_2)[/tex]= coordinates of the second point in the line

Let's use (2,-3) for the first point and (4, 3) for the second point.

Sub the values into our formula

[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\\\frac{3-(-3)}{4-2}[/tex]

Now simplify

[tex]\frac{3-(-3)}{4-2}\\\frac{6}{2}\\3[/tex]

Answer:

The slope is 3

Step-by-step explanation:

Answer:

A.) (-4,-2)

Step-by-step explanation:

Because the lines intersect

Answer:

10000+101010 = 111010

[tex] \orange{ \boxed{ \sf{111010}}}[/tex]

Answer:

10000+101010 = 111010

Step-by-step explanation:

10000+101010 = 111010

Answer:

10 cases 4 units over

Step-by-step explanation:

Answer:

I think John does not own a clothing store

The population of organisms is described by the following exponential equation:

P(t) = 18,000*(0.9966)^t

The general exponential equation is:

P(t) = A*(b)^t

Where A is the initial value, b depends on the percentage that changes, and t is the variable.

In this case, the population decreases by 3.4%, then we have:

B = 1 - 3.4%/100% = 0.9966

And the initial value is 18,000 organisms, replacing that in the general equation we get:

P(t) = 18,000*(0.9966)^t

This is the equation that represents the population.

If you want to learn more about exponential equations, you can read:

https://brainly.com/question/11832081