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​

A Portion Of The Quadratic Formula Proof Is Shown. Fill In The Missing Statement. Statements Reasons

Answers

Answer 1

Answer:

The fourth option.

x + b/2a = +- sqrt((b^2 - 4ac)/(4a^2))

Step-by-step explanation:

A Portion Of The Quadratic Formula Proof Is Shown. Fill In The Missing Statement. Statements Reasons

Related Questions

help with this pls geometry!!

Answers

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!

The hardware store sells green buckets, which hold 7 liters of water, and white buckets, which hold 1 liter. Austin bought 8 buckets. His buckets will hold 38 liters in total. How many of each type of bucket did Austin buy?

? green buckets
? white buckets

Answers

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

match the property to its correct name

A} additive inverse property

B} multiplicative inverse property

C} commutative property of multiplication

D} multiplicative identity

E} commutative property of complement

F} ascending property of multiplication

G} distributive property

H} associative property of multiplication

I} additive identification property

J} zero property





{1} x+(y-z)=(x+y)+z
2} (pq) * 1 = pq
3} (5x)y-5(xy)
4} a+5b = 5b + a
5} a+0=a
6} gh - hg
7} 8 + (-8)=0
8} x * 0 = 0
9} 5 * (1/5)=1
10} 2(a+h)=2a * 2b

Answers

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

Danny Metzger's parents invested $1600 when he was born. This money is to be used for Danny's college education and is to be withdrawn in four equal annual payments beginning when Danny is age 19. Find the amount that will be available each year, if money is worth 7%, compounded annually. (Round your answer to the nearest cent.)

Answers

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

Giving brainliest! Graph and solve the inequality y≤2|x+2|-7

Show the vertex, whether it’s a dotted or solid line, and axis of symmetry, also where the graph should be filled in!

Answers

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.  

Which of the following is a solution of y + x < -5?

(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)

Answers

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

Help ! With step by step solution

Answers

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...

how do I simplify when there are fractions on fractions

Answers

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

is (4, 4) a solution of the graphed system of inequalities?
answers are
A) Yes
B) No

Answers

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.


2. Your school building casts a shadow 25 feet long. You are 6 feet tall and cast a shadow 18 inches long. Find the height of the school building in feet

Answers

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

Two angles are a linear pair. The measure of one angle is 10 more than 25% of the other. Find the measures of both angles.

Answers

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

Help me solve this please!

Answers

Answer Should be 45

Answered by Gauthmath must click thanks and mark brainliest


Please help me find the area of this figure! Thanks!!

Answers

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

The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years.
Question 4 options:

A)

A = (45,000)e–0.02t

B)

A = 45,000 + e–0.02t

C)

A = (45,000)e0.02t

D)

A = 45,000 + e0.02t

Answers

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]

What is the area of the triangle in the diagram?

Answers

Answer:

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

construct a 2 ×2 Matrix whose elements aij are given by a ij = i+j

[tex]★ \sf\pink{Need \: Required \: Answer}[/tex]

Answers

Answer:

the required matrix is can be given as

in 16 years, Marissa will be five times older than she is today. How old is she?

Answers

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.

What is algebra?

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

Which could be the graph of f(x) = |x - h| + k if h and k are both positive?

Answers

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:

Peter plays basketball. In one game, he needs to score at least 38 points to have a
season high of 1,200 points. He scores x number of 2 pointers and y number of 3
pointers and meets his goal of at least 38 points.
Using the variables given, write an inequality describing this scenario.

Answers

2x + 3y > 38

I am currently on mobile, but the > should have a solid line beneath. I know that 2x + 3y needs to be greater than or equal to 38, since if he scores less than 38 points he won’t meet his season high of 1,200.

write two inequalities to compare -2 and -18

Answers

Step-by-step explanation:

here's the answer to your question

Myles has calculated that 1/2 a box of tile will cover 1/6 of his kitchen floor. How many boxes of tile will he need to cover the entire kitchen?

Answers

Answer: He need 3 boxes.

Step-by-step explanation:

Every 1/6 of his floor needs 1/2 of the tile box.

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]

simplify (-216mtn square)/(8mn)​

Answers

your answer would be -27mm square

Answer:

-27tn

Step-by-step explanation:

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

Convert the angle 0 = 310° to radians. Express your answer exactly.​

Answers

Answer:

5.425

Step-by-step explanation:

310° = 310° × π ÷ 180°

= 310° × 3.142 ÷ 180°

= 310° × 0.0175

= 5.425

Answer:

[tex]\frac{31\pi }{18}[/tex]

Step-by-step explanation:

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

Let f(x) = x2 − 1 and g(x) = 3x. Find gf and state its domain

Answers

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.

Please answer correctly and you will receive a crown and brainliest.

Answers

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

Instructions: Find the missing segment in the image below.
Triangle with a missing segment.

Answers

Answer:

x=44

Step-by-step explanation:

20/x=30/22+x

20x+440=30x

440=10x

x=44

PLSSSS I NEED HELP PLS HELP MEEE IM FAILING Pythagorean theorem

Answers

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!

Which equation matches the graph shown?

Answers

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)

what is the rule for the reflection

Answers

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—](

if 2x+20 and 3x+20 makes a straight angke find value of x​

Answers

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

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