Algebra 2, I need help!!! Solve x^2 + 6x + 7 = 0. If you are going to comment in here please know the answer, this is so serious for me. Thank you.

Answer:

A) (3, 2)

Step-by-step explanation:

y = 4x - 10

y = 2

Substitute y with 2 in the first equation and solve for x.

y = 4x - 10

2 = 4x - 10

12 = 4x

3 = x

Solution: x = 3, y = 2

Answer: A) (3, 2)

Answer:  21 ft³

Step-by-step explanation:

Let x represent the height of the box.

Then the 5 ft width of cardboard is (5 - 2x) when creating the box

and the 9 ft length of cardboard is (9 - 2x) when creating the box.

Volume = length x width x height

            = (9 - 2x)(5 - 2x)(x)

            = 45x - 28x² + 4x³

Using Calculus to solve for x, set the derivative equal to zero and use the quadratic formula to solve for x:

V' = 45 - 56x + 12x²

0 = 12x² - 56x + 45

x = 3.6, x = 1.0

Use those values to find the width, length, and volume:

height(x)   ×  width (5 - 2x)   ×  length (9 - 2x) = Volume

  3.63       ×       -2.26*                                            

     1          ×          3               ×         7              =    21

*width cannot be negative so the height cannot be 3.63

Answer:

[tex]\boxed{\sf Option \ D}[/tex]

Step-by-step explanation:

[tex]\sf g(x) = 2x^2-6x-56\\[/tex]

Factorizing using mid term break formula

[tex]\sf g(x) = 2x^2-14x+8x-56\\g(x) = 2x(x-7)+8(x-7)\\g(x) = (2x+8)(x-7)\\g(x) = 2(x+4)(x-7)[/tex]

Answer:

Number of dollar = 28.28 (Approx)

Step-by-step explanation:

Given:

176 dollar = 140 pound

1 pound = Rs.130

Find:

Number of dollars in Rs 2925

Computation:

1 pound = Rs.130

Number of pound = 2925 / 130

Number of pound = 22.5 pound

1 pound = 176 / 140

Number of dollar = [176 / 140]22.5

Number of dollar = 28.28 (Approx)

Answer:

the smaller is 9 while the digger is 18

Answer:

None

Step-by-step explanation:

Let’s graph the points first.

Look at the image below.

And by looking at the image we can tell that none of the points lay on the same horizontal line.

Thus,

none of the points lay on the same horizontal line.

Hope this helps :)

Answer:

They will find 69 viruses in 8 hours.

Step-by-step explanation:

The number of viruses after t hours is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial number of viruses and r is the decay rate, as a decimal.

They start with 500 viruses

This means that [tex]V(0) = 500[/tex]

Decay rate of 22% per hour.

This means that [tex]r = 0.22[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = 500(1-0.22)^{t}[/tex]

[tex]V(t) = 500(0.78)^{t}[/tex]

How many viruses will they find in 8 hours?

This is V(8).

[tex]V(t) = 500(0.78)^{t}[/tex]

[tex]V(8) = 500(0.78)^{8}[/tex]

[tex]V(8) = 68.51[/tex]

Rounding to the nearest whole number

They will find 69 viruses in 8 hours.

Answer:

The researchers will find 86 viruses.

Step-by-step explanation:

Identify the value of each variable in the formula. Be sure to put the percent in decimal form. Be sure the units match—the rate is per hour and the time is in hours.

A =?

A0 =  500

R= -0.22/hour

t= 8 hours

Substitute the values in the formula.

A= A0e^rt

A= 500e^-0.22x8

Compute the amount.

A ≈ 86.02

Round to the nearest whole number.

A ≈ 86

Answer:

6 percent

Step-by-step explanation:

6/100 is shaded. This is the same thing as 0.06. Once I move the decimal two places to the right, I get 6. (I move the decimal place because percents are out of 100, so two decimal places.) This means 6 percent.

Answer:

a = 16

b = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Length of the design 16 inches is represented by the point (0, 16) and length of 12 inches by (1, 12).

That means these points lie on the graph of the function 'f' represented by,

f(x) = a(b)ˣ

For the point (0, 16),

f(0) = a(b)⁰

16 = a(1)

a = 16

For another point (1, 12),

f(1) = a(b)¹

12 = ab

12 = 16(b) [Since a = 16]

b = [tex]\frac{12}{16}[/tex]

b = [tex]\frac{3}{4}[/tex]

Therefore, values of a and b are 16 and [tex]\frac{3}{4}[/tex] respectively.

Answer:

Probability of obtaining no more than two defective tubes = 0.816

Step-by-step explanation:

The Probability of obtaining no more than two defective tubes in a randomly selected sample of 15 tubes is obtained using the binomial distribution formula: nCr × p^r × q^(n -r).

Where n is number of samples;

r is maximum number of defective tubes, r ≤ 2;

p is probability of defective tubes = 10% or 0.1

q is probability of non-defective tubes, q = 1 - p

Further explanations and calculations are given in the attachment below:

Answer:

Total ways = 5×5×5×5×5

Total ways = 5^5

Total ways = 3125

Therefore, the correct option is C) 5^5

Step-by-step explanation:

John has pairs of red, orange, yellow, blue and green socks.

Which means that John has 5 different colors pairs of socks.

We are asked to find out in how many ways can he wear them over 5 days.

1st Day:

On the first day John has 5 ways to choose from.

2nd Day:

On the second day John has 5×5 ways to choose from.

(Since repetition is allowed)

3rd Day:

On the third day John has 5×5×5 ways to choose from.

4th Day:

On the fourth day John has 5×5×5×5 ways to choose from.

5th Day:

On the fifth day John has 5×5×5×5×5 ways to choose from.

Total ways = 5×5×5×5×5

Total ways = 5^5

Total ways = 3125

Therefore, the correct option is C) 5^5

Answer:

30% constituents=20 mL

10% constituents=180 mL

Step-by-step explanation:

x= 30% volume

y=10% volume

For our first equation, we know the total volume is 200 mL and is the sum

x+y=200

y=200-x (1)

For our second equation, we do a mass balance for 200 mL of final solution.

12% w/v = 0.12 g/mL

This means that in 1 mL of solution, we have 0.12 g of NaCl.

For any solution, concentration multiplied by volume will give the mass of NaCl:

Mass in x mL= C*V (g/mL) (mL)

So in 200 mL, we have

0.12*200 (g/mL) (mL)

=24g of NaCl

Cx*Vx + Cy*Vy=24

0.3x+0.1y=24 (2)

Substitute y=200-x into (2)

0.3x+0.1(200-x)=24

0.3x+20-0.1x=24

0.2x=24-20

0.2x=4

Divide both sides by 0.2

0.2x/0.2=4/0.2

x=20

Substitute x=20 into (1)

y=200-x

y=200-20

y=180

30% constituents=20 mL

10% constituents=180 mL

Answer:

12345824.4

Step-by-step explanation:

I'm not really sure. I just did 1240x637x15.63=12345824.4

answer:

53,445.1 gallons of water

Step-by-step explanation:

im not exactly sure but i looked up how to calculate gallons in a container and the website i went to told me to measure the interior length, width, and height which was already done, then it told me to multiply the length by width by height to get the volume of the container then it told me to divide the volume by 231 to get the number of gallons in the container, so 1,240* 637= 789,880* 15.63= 12,345,824.4÷231= 53,445.127272727272727272727272727 which rounded to the nearest tenth is 53,445.1, i honestly hope that this is right and that it helps

Answer:

62

Step-by-step explanation:

Sn=1/2(3n^2+7n)

S1=1/2(3+7)=5

S2=1/2(3*4+7*2)=26/2=13

We know

S1=a1=5

S2=a1+a2=13

S2-s1=a1+a2-a1

13-5=a2

a2=8

We know d=a2-a1

d=8-5=3

nth term of AP =an=5+(n-1)3

an= 2+3n

Therefore 20th term =

a20= 2+3(20)=62

Hence 20th term of AP is 62

I hope this helps

Answer:

Step-by-step explanation:

Given the population increasing according to the exponential function defined by y = 3e^0.04x, where y is in millions and x is the number of years, to determine when the population will reach 4 million, the following steps must be carried out.

Since y is in millions, we will first substitute y = 4 into the modeled equation as shown;

4 =  3e^0.04x

Therefore to calculate x, we need to solve the expression 3e^0.04x = 4 for the value of x and this is arrived at by simply substituting y = 4 into the given equation.

To get x;

3e^0.04x = 4

e^0.04x  = 4/3

taking the ln of both sides

lne^0.04x = ln1.333

0.04x = 0.287

x = 0.287/0.04

x≈ 3.59 years

Step-by-step explanation:

the common ratio is -4

Gn=2 (-4)^n-1

Answer:

3(sqrt42) ft

Step-by-step explanation:

If l is side length of square patio, then area of patio would be l^2.

l^2 = 378

l = sqrt378 = 3(sqrt42)

Answer:

$858

Step-by-step explanation:

Monthly lease amount is ⇒ $936

Considering one moth free, yearly rental would be

The monthly lease amount :

Answer:

b. -1/6

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (1 - 0)/(-2 - 4) = 1/(-6) = -1/6

Answer:

m = -1/6 = B

Step-by-step explanation:

[tex]m = \frac{y_2-y_1}{x_2-x_1} \\ x_1=4\\ y_1=0\\ x_2=-2\\y_2=1.\\m = \frac{1-0}{-2-4} \\m = \frac{1}{-6}[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) List out all distances singly, before rounding off.

i) From London to Paris → 517Km

ii) From Paris to Munich → 837Km

iii) From Munich to Vienna → 399Km

iv) From Vienna to Moscow → 2,088Km

2) Estimating the distances singly on the basis of rounding off to the nearest 100.

i) 517Km ≈ 500Km to the nearest 100

ii) 837Km ≈ 800Km to the nearest 100

iii) 399Km ≈ 400Km to the nearest 100

iv) 2,088Km ≈ 2,100Km to the nearest 100

3) Summing all estimated distances.

500 + 800 + 400 + 2100

= 3,800Km.

NB: when a number is equal or above 50, you are to round it off as 100; when the number is below 50, you are to round off as zero (0).

Answer:

x=0.2136

Step-by-step explanation:

Answer:

x=0.214 rounded to the thousandths

Step-by-step explanation:

2.35=11x

divide each side by 11 to isolate the x

x=0.214 rounded to the thousandths

In any coordinate pair, the first number is the x-value and the second number is the y-value.

To find the slope, simply take the difference of the y values and divide by the difference in the x values: (14-9)/(1-4) is equal to -5/3.

The slope of the line that passes through (1, 14) and (4,9) is -5/3.

It is find the slope of the line.

The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

The slope is always calculated from the rise divided by the run. Typically, the equation is presented as:

m = Rise/Run

If you have two points, the points should be [tex]P_{1} (x_{1} ,y_{1} )[/tex] and [tex]P_{2} (x_{2} ,y_{2} )[/tex]  So, the equation would be:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

In any coordinate pair, the first number is the x-value and the second number is the y-value.

The difference of the y values and divide by the difference in the x values:

m=(14-9)/(1-4) is equal to -5/3.

The slope of the line that passes through (1, 14) and (4,9) is  -5/3.

Learn more about slope here:

https://brainly.com/question/17114095

#SPJ5

Answer:

50

Step-by-step explanation:

The ratio of marked fish to caught fish is 4:10, we need to solve for x in 20:x, since 4 * 5 = 20, 10 * 5 = x so x = 50 fish.

Answer:

-15

Step-by-step explanation:

1/-13

The reciprocal is

[tex]1/ 1/-13[/tex]

Because of the law of indices,

We'll have [tex] 1 * -13 [/tex]

= -13.

-1/2

The reciprocal is

1 ÷ -1/2

Because of the law of indices,

We'll have [tex] 1 * -2 [/tex]

= -2

Therefore, the sum would be -13 + (-2) which would be equals to -15.

-15

Step-by-step explanation:

1/-13

The reciprocal is

Because of the law of indices,

We'll have

= -13.

-1/2

The reciprocal is

1 ÷ -1/2

Because of the law of indices,

We'll have

= -2

Therefore, the sum would be -13 + (-2) which would be equals to -15.

Answer:

(1,1)

Step-by-step explanation:

y = 3x − 2

y = -2x + 3

the point that satisfies the system:

when the two functions are equal

3x-2=-2x+3

3x+2x=3+2

5x=5

x=5/5=1

when x=1

y=-2x+3

y=-2(1)+3

y=1

Answer:

(1,1) or x=1 and y=1

Step-by-step explanation:

Since both equations are equal to y you can use substitution, replacing he y in y=3x-2 with -2x+3, giving you the equation -2x+3=3x-2. We can use this to solve for x. To isolate the variable you first need to add 2 to both sides, giving you -2x+5=3x, then add 2x to both sides. This gives you 5=5x, lastly you need to divide both sides by 5 to get x=1. Now you can plug x(1) into 1 of the 2 given equations to find y, I'll use y=3x-2. When x is plugged in as 1 you get the equation y=3(1)-2, after multiplying you get y=3-2, then you subtract to get y=1. In order to make sure this is the correct solution you can also plug in x as 1 and now y as 1 into the other equation, y=-2x+3. We can plug 1 in for x and solve for -2(1)+3 to get -2+3, or 1, so y is 1 for both equations, therefore the solution we got was correct, x=1 and y=1, or (1,1).

Answer:

-3/2.

Step-by-step explanation:

To find the slope, we find the rise over run.

In this case, the rise is 6 - 3 = 3.

The run is 3 - 5 = -2.

The slope is 3 / (-2) = -3/2.

Hope this helps!

Answer:

-3 / 2

Step-by-step explanation:

slope formula is: change in y / change in x , y2-y1 / x2-x1

let (3.6) is (x1 , y2) and (5 , 3) (x2 , y2)

3 - 6 / 5 - 3 = -3 / 2

the slope is -3 / 2

.. ..

Answer:

-20

Step-by-step explanation:

Follow the PEDMAS order (from top to bottom):

Parentheses

Exponents

Division and Multiplication

Addition and Subtraction

(-5 × 9 - 1) ÷ 2 + (5)2 - 7

(-45 - 1) ÷ 2 + 10 - 7

-46 ÷ 2 + 10 - 7

-23 + 10 - 7

-13 - 7

-20

Answer:

-20

Step-by-step explanation:

=> [tex](-5 * 9-1)/2+(5)2-7[/tex]

Expanding parenthesis

=> [tex](-45-1)/2+10-7[/tex]

=> [tex]-46/2 + 3[/tex]

=> -23 + 3

=> -20

Answer:

ace hardware store

Step-by-step explanation:

Ace is the place with the helpful hardware folks!

Answer and explanation:

Advantages of open questions:

B. An open question allows for new solutions to be introduced.

D. An open question allows the respondent to go​ in-depth with their answer.

Disadvantages of open questions:

A. It is difficult to compare the results of surveys with open questions.

B. It is difficult to quantify the responses of open questions.

Advantages of closed questions:

- It is easy to compare the results of surveys with closed questions.

- It is easy to quantify the responses of closed questions.

Disadvantages of closed questions:

- A closed question limits the possible responses of the respondent.

-The researcher must spend time to generate a satisfactory list of possible responses from the respondent.

- possible answers may also be insufficient to be useful.

Open questions and closed questions in research questionnaires are two popular methods of getting data from respondents. They both have advantages and disadvantages and can be used interchangeably or together in questionnaires.

Closed Questions have defined answer alternatives or answer categories. Eg: Which is your favourite time of the day? (Morning or Evening etc)

Open Questions have free answers, not clear defined alternatives or categories. Eg : Why do you like morning/ evening time the most ?

Closed Questions give brief concrete answers, Open Questions have more essence of subjective & personal elaboration.

Advantages of Open Questions

Disadvantages of Open Questions

Advantages of Closed Questions

Disadvantages of Closed Questions

To learn more, refer https://brainly.com/question/2855510?referrer=searchResults

Answer:

Step-by-step explanation:

f(x)=3x+15

let  f(x)=y

y=3x+15

flip x and y

x=3y+15

3y=x-15

y=1/3 x-5

or f^{-1}x=1/3 x-5