 What are the similarities and differences between the standard form and vertex form of a quadratic equation?

Answer: A line is the undefined geometric term is described as a two-dimensional set of points that has no beginning or end.

Answer:

4 ÷ [tex]\frac{1}{8}[/tex] = 4 x 8 = 32

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

We have to find the height of the triangle to find its area. The altitude to the base of an isosceles triangle is also the median, meaning the altitude forms a 6-8-10 right triangle, so the length of the height is 8, and therefore the area is 0.5 * 8 * 12 = 48.

Answer: £ 260.78

Step-by-step explanation:

Answer:

360 cu in.

Step-by-step explanation:

volume = area of base * height

volume = 36 sq in. * 10 in.

volume = 360 cu in.

x = -1

x = 2

x = -2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Checking for a perfect cube :

1.1    x3+x2-4x-4  is not a perfect cube

Trying to factor by pulling out :

1.2      Factoring:  x3+x2-4x-4  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+x2  

Group 2:  -4x-4  

Pull out from each group separately :

Group 1:   (x+1) • (x2)

Group 2:   (x+1) • (-4)

              -------------------

Add up the two groups :

              (x+1)  •  (x2-4)

Answer: D

Step-by-step explanation:

Answer:

2( 6x+5+2y)

Step-by-step explanation:

12x + 10 + 4y

Factor out a 2

2*6x + 2*5 + 2*2y

2( 6x+5+2y)

Answer:

a= -27

Step-by-step explanation:

The other answer I had was wrong so..

// have a great day //

Answer:

-2/3 a - 6 = 12

+6                 +6

-2/3 a = 18

divide by -2/3 on both sides

a = -27.00027

Step-by-step explanation:

CHECK

-2/3 (  -27.00027) -6 = 12

18.00018 -6 = 12

12.00018 about 12  SO YES ITS CORRECT

Answer:

45/12

Step-by-step explanation:

first open the brackets +(-5½)= -5½

-7⅔-5½+8¾ put liketerms together

8¾-5½-7⅔

(find the LCM of the denominator 4,2,3 that is 12)

change the improper fraction to proper fraction 35/4-11/2-23/3.

(multiply by the 12 to make the denominator same)

(35/4x12)-(11/2x12)-(23/3x12)

105-66-92 = -53/12

12

=-45/12

On evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get  -4[tex]\frac{5}{12}[/tex].

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.  The number on the bottom of the line is called the denominator.

Given is the following expression -

- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]

We have the following expression -

- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]

On solving, we get -

- 23/3 - 11/2 + 35/4

35/4 - 23/3 - 11/2

(105 - 92 - 66)/12

(105 - 158)/12

-53/12

-4[tex]\frac{5}{12}[/tex]

Therefore, on evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get  -4[tex]\frac{5}{12}[/tex].

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Answer:

50%

Step-by-step explanation:

We have that the mean is 52000 miles (m) and the standard deviation is 2000 miles (sd), so we are asked:

P (x <52000)

P ((x - m) / sd <(52000 -52000) /2)

P (z <0)

If we look in the normal distribution table we have to:

P (x <52000) = 0.5

That is, the probability is of randomly selecting a car with a mileage less than 52,000 miles 50%

Answer: 9

Step-by-step explanation: Here, we have the expression 4x - 7 and we want to evaluate the expression when x is equal to 4.

To evaluate an expression, we simply plug the value

of the variable into the expression and solve.

So here, since x is equal to 4, we have 4(4) - 7.

4(4) is equal to 16.

So we have 16 - 7 which is equal to 9.

So the value of our expression when x is equal to 4 is 9.

Answer:

9

Step-by-step explanation:

4x - 7 ( x=4)

4 × 4 - 7

16 - 7

9

Answer:

The final answer is [tex]\frac{8}{27}[/tex] .

Step-by-step explanation:

Solve the following equation:

[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]

-Simplify [tex]2^{2}[/tex] :

[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]

[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]3^{-1}[/tex] :

[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Multiply both [tex]4[/tex] and [tex]\frac{1}{3}[/tex] :

[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]4^{-1}[/tex] :

[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Multiply both [tex]\frac{4}{3}[/tex] and [tex]\frac{1}{4}[/tex] together:

[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]\frac{1}{3}^{-1}[/tex] :

[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex]3 \over 2^{-3} \times 3^{4}[/tex]

-Then, on the denominator,  simplify [tex]2^{-3}[/tex] :

[tex]3 \over 2^{-3} \times 3^{4}[/tex]

[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]

Simplify [tex]3^{4}[/tex] :

[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]

[tex]3 \over \frac{1}{8} \times 81[/tex]

Multiply both [tex]\frac{1}{8}[/tex] and [tex]81[/tex] together:

[tex]3 \over \frac{1}{8} \times 81[/tex]

[tex]3 \over \frac{81}{8}[/tex]

Divide [tex]3[/tex] and [tex]\frac{81}{8}[/tex] by multiplying [tex]3[/tex] by the reciprocal of [tex]\frac{81}{8}[/tex] :

[tex]3 \over \frac{81}{8}[/tex]

[tex]3 \times (\frac{81}{8})[/tex]

-And you multiply [tex]3[/tex] and [tex]\frac{81}{8}[/tex] together:

[tex]3 \times (\frac{81}{8})[/tex]

[tex]\frac{8}{27}[/tex]

So, the final answer would be [tex]\frac{8}{27}[/tex] .

Answer:

D : This is because there are 8 outcomes and 2 events.

It cannot be C as C does not show true event outcomes on each H or T event.

Step-by-step explanation:

Tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin:

The coin has two faces: head and tail

possibility set = {H, T}

Number of total possible outcomes = 2

In a pyramid that has four sides labeled 1 through 4:

possibility set = {1, 2, 3, 4]

So a number of possible outcomes = 4

If the tossing a coin and rolling a fair number of pyramid

So the number of possible outcomes = 2×4 = 8

Thus, tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.

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Answer:

100 should be added to 'complete the squre'

Step-by-step explanation:

[tex] {x}^{2} - 20x + 24 = 0 \\ ( {x}^{2} + 2 \times 10 \times x + {10}^{2}) - {10}^{2} + 64 = 0 \\ {(x - 10)}^{2} - 100 + 64 = 0 \\ {( x - 10)}^{2} - 36 = 0 \\ {(x - 10)}^{2} = 36 \\ (x - 10) = \pm 6 \\ x = 10 \pm 6 \\ x = 10 + 6 \: \: or \: \: x = 10 - 6 \\ x = 16 \: \: or \: \: x = 4[/tex]

Answer:

  b. about 91.7 cm and 44.6 cm

Step-by-step explanation:

The lengths of the diagonals can be found using the Law of Cosines.

Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).

For diagonal "d" and sides "a" and "b" and corner angle D, we have ...

  d² = a² +b² -2ab·cos(D)

The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...

  d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)

  d² ≈ {1988.2, 8411.8}

  d ≈ {44.6, 91.7} . . . . centimeters

The diagonals are about 91.7 cm and 44.6 cm.

Answer: 6a. 3 1/3, 6b. 2 2/5, 6c. 1/4, 6d. 9/10

Step-by-step explanation: You can use math/way or Soc/ratic to find the answers. Math/way is a website, Socr/atic is an app.

Answer:

$6.3

Step-by-step explanation:

Cost of one book =  $5.40

cost of 1000 books = 1000* Cost of one book  =  $5.40*1000 = $5400

Transportation cost for all the books = $200

Thus, total cost for all the books = cost of 1000 books + Transportation cost for all the books  = $5400 + $200 = $5600.

Given , trader wants to earn a profit of 12.5%

thus, we find 12.5 % of total cost incurred by trader

12.5 % of total cost incurred by trader = 12.5/100 *  $5600. = $700

Thus, total profit for 1000 books will be $700

we know that

selling price = cost price + profit

therefore, in the given problem

selling price for 1000 books =  total cost for 1000 books + total profit

substituting the value as calculated above

selling price for 1000 books = $5600 + $700 = $6300

To find selling price for one book, lets divide LHS and RHS by 1000

selling price for 1000/100 books = $6300/1000 = $6.3

Thus, trader should sell each book at $6.3 to earn a profit of 12.5%.

Answer: number 16 is d

number 20 is d

Step-by-step explanation:

Answer:

The answer for 16 is A,  the answer for 20 is D, and the answer for 25 is A

Step-by-step explanation:

For 16, the equation is 6a = 72. 6a is also equal to 6*a. To get a one side by itself, you have to divide both sides by 6.

For 20, it only makes sense for it to be a triangular prism because it has 2 triangles as the base and 3 faces

For 25, you can subtract what was the leftovers from the total number of pizzas. 8 - 1 3/4 - 5/6 is about 5.41, which is closer to 5 so the answer is 5.

Answer:

"Simplifying rational expressions will make the further calculations easier since the variables to work with will usually be smaller.

To determine that a rational expression is in simplest form we need to make sure that the numerator and the denominator have no common variables."

Step-by-step explanation:

Answer:

(5, -1)

Step-by-step explanation:

You find the center of both the coordinates. For the x axis: 3+7 = 10. 10/5=2. For the y axis: -4+2=-2. -2/2 = -1. Put them together and get the answer! :)

Answer:

the answer is A

Step-by-step explanation:

i went but the all the other answers in and it was left to  A

Option A is the correct answer.

What is the cost of one item if the cost of m items is x?

The cost of one item is obtained by dividing the total cost of m items by the number of items.

Given

The total amount spent by Sal > $24,

cost of 3 tennis balls = $2.

Cost of n tennis balls

Divide the cost of three tennis balls by 3 to get the cost of one tennis ball, which is $2/3.

Let the number of balls bought by Sal be n, and P be the cost of n tennis balls.

Total amount spent by him, P = cost of one ball × number of balls bought = ($2/3) × n = $(2/3)n.

Obtain the inequality

Since the total amount spent by him > $24, using the above value of P we obtain,

$(2/3)n > $24.

The inequality to be used to find n is (2/3)n > 24.

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Answer:

Just took it!

Step-by-step explanation:

The requried properties used: the elimination method, multiplication property of equality, subtraction property of equality, substitution property of equality, and addition property of equality.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

To justify the steps taken to solve the system {3x−2y=10, 4x−3y=14}, we need to identify the properties used. Here are the properties that justify each step:

Step 1: We can use the elimination method to solve this system. To eliminate the variable y, we can multiply the first equation by 3 and the second equation by 2 :
{9x - 6y = 30, 8x - 6y = 28}

Step 2: We can subtract the second equation from the first equation to eliminate y:
{9x - 8x = 2}
{x = 2}

Step 3: We can substitute x = 2 into one of the original equations to solve for y. Let's use the first equation:
{3(2) - 2y = 10}

Step 4: We can simplify and solve for y:
{6 - 2y = 10}
{-2y = 4}
{y = -2}

Therefore, the solution to the system is (x, y) = (2, -2).

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Answer:

[tex]x=15^\circ[/tex]

Step-by-step explanation:

In a right triangle:

[tex]\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)[/tex]

Therefore, given:

[tex]Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ[/tex]

Answer:

Step-by-step explanation:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=6\left(4\right)^{1-1}+6\left(4\right)^{2-1}+6\left(4\right)^{3-1}+6\left(4\right)^{4-1}+6\left(4\right)^{5-1}=\\\\\\=6\cdot4^0+6\cdot4^1+6\cdot4^2+6\cdot4^3+6\cdot4^4=6+24+96+384+1536=\\\\=2,046[/tex]

or:

is geometric series:  [tex]S_n=\dfrac{a_1(1-q^n)}{1-q}[/tex]

[tex]a_n=a_1\cdot q^{n-1}\quad\implies\quad\begin{cases}a_1=6\\q=4\\n=5\end{cases}[/tex]

so:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=S_5=\dfrac{6(1-4^5)}{1-4}=\dfrac{6(1-1,024)}{-3}=-2(-1,023)=2,046[/tex]

Answer:

B

Step-by-step explanation:

Edge2021

Answer:

A(r)=15-3r

Step-by-step explanation:

switch the sign of 3r to make it -3r

Answer:

E

Step-by-step explanation:

1/2% is .5% = .5/100 = .005

The required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Given percentage term = 1/2%
Since 1/2 = 0.5, and percent % = 1/100th
Togetherly,
=  0.5/100 = 0.005

Thus, the required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.

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Answer:

Since you're asking how to find the value of x, you can use cosine, since the triangle is a right triangle.

Answer:

Only cosine include both hypotenuse and adjacent. We need both of them because those are 2 side that have numbers/letters.

So cos(28) = 11/x

Multiply by x

Then you'll get xcos(28) = 11

Do oposite cosine and you'll get

x = 11*opposite cos(28)

opposite cosine means cos^-1

thats approx. equal to 12.46 units

Answer:

false

Step-by-step explanation:

5 cant be put into 2

Answer:

not a function

Step-by-step explanation:

Since one input goes to two different outputs, this is not a one to one correspondence, then this is not a function

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Just multiply the 1 times 4

Answer:

Step-by-step explanation:

A linear equation in "standard form" looks like Ax + By + C = 0,  or

Ax + By = D

x + y = -1 :  is in standard form:  A = 1, B = 1 and D = -1

-3.x = y :  NOT in standard form

x + 4y = 0   is in standard form

y = 5x - 2   NOT in standard form

x = 3 -0.17   NOT

8x – 3y = 20  is in standard form

Answer:

A. x + y = -1

C. x +4y = 0

F. 8x - 3y = 20

Step-by-step explanation:

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