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sergiy2304 [10]

3 years ago

5

PLZ HELP! QUICK! WILL MARK BRAINLIEST!!! 20 POINTS!!! A portion of the Quadratic Formula proof is shown. Fill in the missing sta

tement.

1 answer:

lorasvet [3.4K]3 years ago

3 0

Answer:

D.

Step-by-step explanation:

After the third step, take the square root of both sides.

Third Step:

$(x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}$

Thus, the fourth step is:

$\sqrt{(x+\frac{b}{2a})^2}=\sqrt{ \frac{b^2-4ac}{4a^2}} }$

The left side cancels:

$(x+\frac{b}{2a})=\pm\sqrt{ \frac{b^2-4ac}{4a^2}} }$

D.

You might be interested in

How much water does it take to completely fill a pool that is 50 m long, 25 m wide, and 2.5 m deep? Answer in M 3

Eva8 [605]

$3125m ^{2}$

Step-by-step explanation:

the question is asking for the volume of water in m^3 that will be in the pool when it is completely full.

we find this by multiplying the length times the width times the depth.

this gives us 50m×25m×2.5m= 3125m^3

8 0

4 years ago

Can you pllleeeassseee help me out?

Andru [333]

1) Debbie has $93 saved up to buy a PS4 on Black Friday. On Black Friday the PS4 will cost $150 dollars, if Debbie babysits and earn two dollars everyday she babysits, how many days left does she have until she can buy the PS4?

2n+93=150

2n=150-93

2n=57

n= $\frac{57}{2}$

2) What does P equal? P stands for the amount of apples needed for a pie sale. We also need to find Q, which is how much peaches we'll need as well, because it is a peach and apple pie sale.

$\frac{p}{10}= \frac{7}{q}$

$p=\frac{7}{q} *10$

$p=\frac{70}{q}$

-----------------------------------------

$\frac{p}{10}= \frac{7}{q}$

$\frac{p}{10}q=7$

$\frac{pq}{10} =7$

pq=7*10

pq=70

$q=\frac{70}{p}$

Hope this helps, have a BLESSED and wonderful day! :-)

-Cutipatutie ☺❀❤

8 0

3 years ago

A candy company has 150 kg of chocolate-covered nuts and 90 kg of chocolate-covered raisins to be sold as two different mixes. O

Westkost [7]

Answer:

1. 7x + 9.5y

2. 1980

Step-by-step explanation:

In Mix A, there is an equal amount of nuts and raisins.

Let x = kg of nuts = kg of raisins.

In Mix B, there is 3 times as much nuts as raisins.

Let y = kg of raisins, then 3y = kg of nuts.

We have this information:

Nuts Raisins Price

mix A x + x = $ 7.00

mix B 3y + y = $ 9.50

Total: 150 90

Hence, the number of kilograms of each mix should company prepare for the maximum revenue is = 7x + 9.5y

We have these inequalties:

{x≥0y≥0x+3y≤150x+y≤90} (equation 1)

There will be

x+x=2x kg of Mix A at $7.00 per kg.

The revenue from Mix A is:

7(2x)=14x dollars.

There will be

3y+y=4y kg of Mix B at $9.50 per kg.

The revnue from Mix B is:

9.5(4y)=38y dollars.

Hence, the total revenue is:

R=14x+38y (equation 2).

Graph the region determined by [1] and locate its vertices.

You should get:

(0,0),(90,0),(0,50),(60,30)

Test the vertices into [2] and see which vertex produces maximum revenue

(0,0): R=14(0)+38(0)=0 Minimum revenue

(90,0):R=14(90)+38(0)=1260

(0,50): R=14(0)+38(50)=1900

(60,30):R=14(60)+38(30)=1980 Maximum revenue.

3 0

4 years ago

What is the sum of (–2. 1x 3. 7) and (5 4. 9x)? Negative 7. 0 x 8. 7 Negative 2. 8 x 8. 7 2. 8 x 8. 7 7. 0 x 8. 7.

sashaice [31]

Sum of two algebraic expressions is addition of two expressions. The sum of the given expressions is given as: Option B: $2.8x + 8.7$

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, $5x^3$ and $3x^3$ are like terms since variable is same, and it is raised to same power 3.

For example $5x^2$ and $x^3$ are not like terms as the variables are same but powers aren't same.

<h3>What are coefficients?</h3>

Constants who are in multiplication with variables are called coefficients of those variables.

For example, in $10x^2$ we have 10 as coefficient of $x^2$

<h3>When can we add or subtract terms of polynomial by their coefficient's addition or subtraction?</h3>

Suppose we have $5x^2 + 6y$

Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.

If we have, suppose,

$4x + 5x^2 + 2x$ , then we see that 4x and 2x are like terms, their coefficient can be added and thus, the simplified form would be

$(4+2)x + 5x^2 = 6x + 5x^2$

For the given condition, the needed sum is evaluated as:

$(-2.1x + 3.7) + (5 + 4.9x) = (-2.1 + 4.9)x + 5 + 3.7 = 2.8x + 8.7$

Thus,

The sum of the given expressions is given as: Option B: $2.8x + 8.7$

Learn more about addition of polynomials:

brainly.com/question/4420925

5 0

2 years ago

Terry earned x dollars selling electronics last month. this month he earned $18 less than twice the amount he earned last month.

ValentinkaMS [17]

Answer:

2x - 18

$3,382

Step-by-step explanation:

x = number of dollars gained last month

this month:

twice the amount = 2x

minus $18 = 2x - 18

x = 1,700

2x - 18

2(1700) - 18

3,400 - 18

$3,382

6 0

3 years ago

Read 2 more answers