A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x² + x + b 4ac 4a? b? 4a² Find a common denominator on the right side of the equation a 2a X? + b 2a b? =4ac 4a? Add the fractions together on the right side of the equation a b2 - 4ac x+ Rewrite the perfect square trinomial on the left side of the equation as a binomial squared 2a 4a 2 Take the square root of both sides of the equation Vb -4ac x+ b 2a + 4a b - 4ас X + 2a + 4a 4ac + 2a 4a 1o ano 4a​

Answer:

-27tn

Step-by-step explanation:

Use KIO (keep, inverse, opposite) then divide.

Answer:

f(x) = -(x+2)(x-1)

Step-by-step explanation:

We know the zeros are at 1 and -2

f(x) = a *(x-b1)(x-b2)  where b1 and b2 are the zeros and a is a constant

f(x) =a(x-1)(x- -2)

f(x) =a(x-1)(x+2)

We know that a must be negative since the parabola opens down so

The only choice is choice D where a = -1

f(x) = -(x+2)(x-1)

Answer: y/y+x

Step-by-step explanation: Reduce the fraction at the bottom (1 - x/y) (1 + x/y) = 1 + x/y = simplify and you get y/y+x

Answer:

[tex]\begin{array}{ccl}Year&&End \ of \ year \ balance\\1&&\$4,483.18\\2&& \$3,088.68\\3&&\$1,596.57\\4&&0\end{array}[/tex]

Step-by-step explanation:

The initial amount invested, P = $1,600

Danny's age at which the amount, A, is to be used for his college, t = 19 years

The number of equal annual payments, m, to be withdrawn from the amount = 4

The compound interest on the account, r = 7% = 0.07

Let, A, represent the amount at the year the annual withdrawals starts to be made, we have;

[tex]A = P \times \left(1+\dfrac{r}{n} \right)^{n \times t}[/tex]

n = The number of times the interest is applied annually = 1

Therefore;

[tex]A = 1,600 \times \left(1+\dfrac{0.07}{1} \right)^{1 \times 19} \approx 5,786.444[/tex]

The amount, m, is withdrawn at start of Danny's first year in college to give the amount in the account = A - m

The amount in the account at the end of the first year with compound interest, r = (A - m)×(1 + r)¹ = (A - m)×(1 + r)

At the stat of the second year, the second withdrawal is made to give the starting amount = (A - m)×(1 + r) - m

The amount in the account at the end of the second year = ((A - m)×(1 + r) - m)×(1 + r)

At the start of the third year, the amount in the account =  ((A - m)×(1 + r) - m)×(1 + r) - m

At the end of the third year, we have the amount in the account  = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r)

At the start of the forth year, the last yearly installment is withdrawn from the account and we have 0 balance in the account.

Therefore, on the fourth year, we have the amount in the account = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r) - m = 0

(A - m)×(1 + r)³ - m×(1 + r)² - m × (1 + r) - m = 0

A×(1 + r)³ - m×(1 + r)³ - m×(1 + r)² - m × (1 + r) - m = 0

A×(1 + r)³ = m×(1 + r)³ + m×(1 + r)² + m×(1 + r) + m = m × ((1 + r)³ + (1 + r)² + (1 + r) + 1)

A×(1 + r)³ = m × ((1 + r)³ + (1 + r)² + (1 + r) + 1)

m = A×(1 + r)³/((1 + r)³ + (1 + r)² + (1 + r) + 1)

∴ m = 5,786.444×(1 + 0.07)³/((1 + 0.07)³ + (1 + 0.07)² + (1 + 0.07) + 1) ≈ 1,596.56

The amount withdrawn annually, m ≈ $1,596.56

The amount in the account at the end of the each year is given as follows;

First year = (A - m)×(1 + r) = (5,786.444 - 1,596.56)×(1 + 0.07) ≈ 4,483.17588

Second year = ((A - m)×(1 + r) - m)×(1 + r) = ((5,786.444 - 1,596.56)×(1 + 0.07) - 1,596.56)×(1 + 0.07) = 3,088.68

Third year = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r) = (((5,786.444 - 1,596.56)×(1 + 0.07) - 1,596.56)×(1 + 0.07) - 1,596.56) × (1 + 0.07) = 1,596.57

At the end of the first year, we have $4,483.17588

At the end of the second year, we have $3,088.68

At the end of the third year, we have $1,596.57

At the end of the fourth year, we have 0

Answer:

the required matrix is can be given as

Answer:

See explanation

Step-by-step explanation:

Chevy Malibu hybrid = 6.8

Ford mustang = 9.6

Nissan Pathfinder = 10.8

Toyota Corolla = 6.3

1. Chevy Malibu hybrid to Toyota Corolla = 6.8 to 6.3

= 6.8 : 6.3

= 6.8 / 6.3

2. Nissan Pathfinder to Ford mustang = 10.8 to 9.6

= 10.8 : 9.6

= 10.8 / 9.6

= 2.7 / 2.4

3. Toyota Corolla to Nissan Pathfinder = 6.3 to 10.8

= 6.3 : 10.8

= 6.3 / 10.8

4. Ford mustang to Chevy Malibu hybrid = 9.6 to 6.8

= 9.6 : 6.8

= 9.6 / 6.8

= 2.4 / 1.7

South would be straight down (leg 1 of the triangle) and east would be right from that point (leg 2 of the triangle). Therefore, we are looking for the hypotenuse of the triangle.

Pythagorean Theorem: a^2 + b^2 = c^2

6^2 + 5^2 = c^2

36 + 25 = c^2

61 = c^2

c = sqrt(61)

c = 7.8 miles

Hope this helps!

Additive inverse and multiplicative inverse are mathematics function which creates net impact of an equation as zero.

The correct names are matched with their respective properties.

A. 7. 8 + [-8] = 0

B. 9. 5 * [1/5] = 0

C. 4. a + 5b = 5b + a

D. 2. [pq] * 1 = pq

E. 6. gh - hg

F. 3. [5x] y-5 [xy]

G. 10. 2 [a + b] = 2a * 2b

I. 5. a + 0 = a

J. 8. x* 0 = 0

Additive inverse property is when the net result from addition is zero.

Multiplicative inverse property is the equation which gives answer zero when two variables are multiplied.

Learn more at https://brainly.com/question/24325325

Answer: 5 green buckets and 3 white buckets

Step-by-step explanation: each green bucket is 7 liters so if Austin buys 5 of them that'll equal 35 liters already. And each white bucket is 1 liter so if he buys 3 of those that'll get him to 38

Answer:

Height of school building = 100 feet

Step-by-step explanation:

Given;

Shadow of school building = 25 feet

Height of individual = 6 feet

Shadow of individual = 18 inches = 1.5 feet

Find:

Height of school building

Computation:

Height of individual / Shadow of individual = Height of school building / Shadow of school building

6 / 1.5 = Height of school building / 25

Height of school building = 25 x 4

Height of school building = 100 feet

Answer:

Step-by-step explanation:

The general form of this equation is

[tex]A=Pe^{rt}[/tex] where P is the initial population, e is Euler's number (a constant), r is the rate of decay, and t is the time in years.

Therefore, filling in:

[tex]A=45000e^{-.02t[/tex]

Step-by-step explanation:

here's the answer to your question

Answer:

hope this helps u......

Answer:

Step-by-step explanation:

I don't know why the graphs I have been putting in look like that. simpler way of putting it is the line is where the red and black meet. if that makes sense. I'm sorry if is doesn't. I hope this helps tho.  

Answer:

5.425

Step-by-step explanation:

310° = 310° × π ÷ 180°

= 310° × 3.142 ÷ 180°

= 310° × 0.0175

= 5.425

Answer:

Step-by-step explanation:

i got it right on khan[tex]\frac{31\pi }{18}[/tex]

Answer:

Linear pairs add up to 180°

1st angle = x

2nd angle = x+24 (24° more than the first)

The equation would be

1st angle + second angle = 180 Subbing in the expressions we came up with:

x+x+24 = 180

Answer Should be 45

Answered by Gauthmath must click thanks and mark brainliest

Answer:

Step-by-step explanation:

Figure consists of three parts; one Triangle , one   rectangle and  a square.

Triangle:

Base = b = 13+9 = 22 cm

height =  16 cm

[tex]Area \ of \ triangle = \frac{1}{2}* b*h\\\\= \frac{1}{2}*22*16\\\\= 11 *16\\\\= 176 \ cm^{2}[/tex]

Rectangle 1:

length = 14 cm

Width = 4 cm

Area of R1 = length * width = 14 * 4 = 56 cm²

Area of Square R2:

side = 8 cm

Area of square = side * side = 8 * 8 = 64 cm²

Area of shaded region = 176 + 56 + 64 = 296 cm²

Answer:

x=44

Step-by-step explanation:

20/x=30/22+x

20x+440=30x

440=10x

x=44

Answer:

The first option would be your answer. The graph should be positive due to the modulus.

The first option is good.

Hope it helped!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

548

Step-by-step explanation:

First, the sides:

7 × 12 = 84

84 × 2 = 168

7 × 10 = 70

70 × 2 = 140

10 × 12 = 120

120 × 2 = 240

Add:

168 + 140 + 240

 ^         ^

     308  +  240

            548  

Hope this helped.

Answer:

The surface area of the rectangular prism is 548[tex]ft^{2}[/tex]

Step-by-step explanation:

To find the surface area of the rectangular prism you need to use the formula

A=2(wl+hl+hw)

Answer to question commented:

The surface area of the other rectangular prism is 430[tex]ft^{2}[/tex]

Hope this helps!

Answer: A) Yes

If (4, 4) lies within the double-shaded area that covers the solution set of both inequalities, then it's a solution.

It does, therefore, it's a solution to the system of inequalities.

Step-by-step explanation:

We reflect We triangle across both axis so the x and y values will both switch.

Our triangle is originally in the second quadrant but then go to the 4the after we reflect it.

Second Quadrant are

^;8+1—](

Answer:

x = 28

Step-by-step explanation:

The sum of the angles in a straight angle = 180°

Sum the angles and equate to 180

2x + 20 + 3x + 20 = 180

5x + 40 = 180 ( subtract 40 from both sides )

5x = 140 ( divide both sides by 5 )

x = 28

Answer: He need 3 boxes.

Step-by-step explanation:

Split his floor into 6 parts, each part needing 1/2 of the tile box:

[tex]6*\frac{1}{2} =\frac{6}{2} =3[/tex]

Or you can add 1/2 six times for each 1/6 of the floor:

[tex]\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} =\frac{6}{2}=3[/tex]

Step-by-step explanation:

here's the answer to your question

Answer:

[tex]g(x) \times f(x) = 3{x}^{3} -3x[/tex]

X exists for all real numbers.

Y exists for all real numbers.

Answer:

4

Step-by-step explanation:

1 5

2 10

3 15

4 20

i wrote it out

x+16=5x

16=4x

4=x

Marissa is currently four years old.

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use.

Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

Let's represent Marissa's current age "x".

According to the given question, in 16 years she will be five times older than she is today, which we can express as:

x + 16 = 5x

Solving for x, we can subtract x from both sides:

16 = 4x

Dividing both sides by 4, we get:

x = 4

Therefore, Marissa is currently 4 years old.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ6

The answer is (-4, -2)

-2 + -4 < -5

-6 < -5

Hope this helps!

Answer:

(- 4, - 2 )

Step-by-step explanation:

Substitute the coordinate value into the left side of the inequality and compare the value obtained to the right side

(- 2 , - 3 )

- 3 - 2 = - 5 = - 5 ← not a solution

(- 4, - 2 )

- 2 - 4 = - 6 < - 5 ← solution

(- 3, - 2 )

- 2 - 3 = - 5 ← not a solution

(- 1, - 3 )

- 3 - 1 = - 4 > - 5 ← not a solution

Answer:

l think the answer is =C for this area of triangle

Answer:

the correct answer is C

Step-by-step explanation:

first step you change the x and y powers to the square root(showing in the pic).

second the number outside of the parenthesis times the numbers inside the parenthesis and then you just figure it out how it works...