Express (x + 2)² + 9 = 0 in standard form

Answers

Answer 1
Formula = (a + b)^2 = a^2 + 2ab + b^2

x^2 + 4x + 4 + 9 = 0
x^2 + 4x + 13 = 0
Answer 2

Answer:

x^2+4x+13=0

Step-by-step explanation:

I'm 100% certain this is right. Have a good day/night wherever you are! :D


Related Questions

What is the median number of this data set 15,33,51,75,51?

Answers

Answer:

51

Step-by-step explanation:

1. The median of a data set is the quantity that's in the middle of the data points. Before looking what number is in the middle, you have to order them from least to greatest.

15, 33, 51, 51, 75

2. Now, when crossing from left to right then left to right again, you end up with 51 in the middle.

Therefore, the median number is 51.

51 the median number is the number directly in the middle of the data set commonly confused with the mean which is the sum of all the Numbers divided by the amount of numbers there are

Mary has 3 more apples than Ted and 3 times as many apples as Alex. How many apples do all three of them have combined if Mary has 24 apples

Answers

Answer:

52

Step-by-step explanation:

24-3=21 21÷3=7 24 + 21 + 7 = 52

1. find the measure of each angle

Answers

Step-by-step explanation:

adding both equations together makes the straight line that is QRS. straight lines are 180

you should picture a windshield wiper going side to side and you're trying to see how much farther it has to move until it straightens out at the bottom

(3x-5) + (10x-7) = 180

Can you help me plz.

Answers

Answer:

Step-by-step explanation:

pls gimme brainliest if im correct

Answer:

7.77, 7[tex]\frac{4}{9}[/tex], 7.4, 7[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

convert the fractions to decimals

[tex]\frac{4}{9}[/tex] = .44 so 7.44

[tex]\frac{3}{4}[/tex] = .25 so 7.25

7.77, 7.44, 7.40, 7.25

they look to already be in order.

have a lovely day <3

A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold

3. The car dealership sets a goal for each salesperson to sell at least 12 cars per month. The salesperson
achieves this goal every month for the entire year. What is the minimum amount of money the
salesperson earns for the entire year? Show your work.
I

Answers

Answer:

8 vehicles

Step-by-step explanation:

Given: Monthly salary of salesperson is $2400

         Incentive of salesperson is $250 per vehicle sold.

First, lets compute income to earned apart from salary.

∴ Deduct salary from the target amount

$2000 need to be earned only through incentive, which is $250 per vehicle sold.

Now, solving to get number vehicles to be sold to earn $2000 as incentive.

Number of vehicle=

8 vehicles need to be sold by salesperson to get total earning as $4400.

Please help me!! Thank you

Answers

Answer:

get a smarter person to help i just need my points

Step-by-step explanation:

Engineering An overpass intersects two
lanes of a highway. What must the value of x
be to ensure the two lanes are parallel?

Answers

Answer:

Look down :)

Step-by-step explanation:

The two equations must equal 180 degrees. So what you could do it 4x + (2x + 12) = 180

then solve. If this isnt enough information just comment :)

If no I hope this helped

For the two lanes to be parallel, the value of x must be 28 degrees,

The given information states that the same-side interior angles are 4x degrees and (2x + 12) degrees.

For parallel lines, the sum of these angles must equal to 180 degrees.

As per the concept of linear sum,

4x + (2x +12) = 180

Adding the like terms, we get:

(4x + 2x) + 12 = 180

Simplifying, we get:

6x + 12 = 180

Subtract 12 to both sides, and we get:

6x = 180 - 12

Simplifying, we get:

6x = 168

x = 28

Therefore, the value of x is 28 degrees.

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An inlet pipe on a swimming pool can be used to fill the pool in 15 hours. The drain pipe can be used to empty the pool in 20 hours. If the pool is [tex]\frac{1}{3}[/tex] filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.


_____________ hours

Answers

Answer:

40 hours

Step-by-step explanation:

Rate of filling is 1/15Rate of draining is 1/20

If both lines are open the rate of filling is:

1/15 - 1/20 = 4/60 - 3/60 = 1/60 per hour

Since tank is 1/3 full we need to fill the remaining 2/3 of it.

Time required:

2/3 : 1/60 = 2/3*60 = 40 hours

An entrepreneur wants to rent
a billboard at least 30 feet tall to display an
advertisement for her business. She is 5 feet 6 inches
tall and casts a shadow 7 feet long. At the same
time, a billboard casts a shadow 35 feet long. Is the
billboard tall enough?

Answers

The billboard is 73 ft talk


[tex]f(a) = {a}^{ \frac{1}{2} } + 3a + {a}^{2} [/tex]
[tex]f(x) = \frac{9}{17} {x}^{83} + \sqrt{54 {x}^{97} } + \pi[/tex]
[tex]g(x) = (x - \frac{2}{3} )(x + \frac{3}{4} )[/tex]
which one of the following is a polynomial and which is not, and why?​

Answers

Step-by-step explanation:

g(x) is a polynomial. It doesn't contain a rational degree with the variable as the denominator, negative eexponents, or irrational coeffecienfs, and no rational exponents as a degree.

f(x) and f(a) isn't a polynomial. It contain a irrational coeffceint like pi. So it not a polynomial. And they both have a rational exponet as a degree

Marta made a fruit salad with 30 strawberries and 50 grapes. Assuming each strawberry contains 6 calories and each grape contains 3 calories, and that each of her 5 family members had an equal share of the fruit salad, how many calories did each person consume from the fruit?

66 calories
78 calories
144 calories
330 calories

Answers

Answer:

maybe it's d.

Step-by-step explanation:

because 30*6=180 and 50*3=150

so total of 330 as I observed

Leah hangs 6 posters in a row, each 14 inches wide, on a bedroom wall. There are 4 inches between each poster. For the posters at each end, there are 3 inches between each poster and the end of the wall. What is an appropriate strategy for Leah to use to find the width of the wall?

Answers

Answer:

62 sq in of wall is covered

Step-by-step explanation:

6 x 14 = 84 -22 = 62

this is for the total

4 x 4 = 16

this is for the inches of the inside wall

2 x 3 = 6

this is for the inches of the outside wall

Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Leah must add the widths of all the places and posters to get the breadth of the wall, so the best course of action is:

Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall.

Thus, the appropriate strategy for Leah to use to find the width of the wall is Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.

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Roxanne is using successive approximation to solve this equation.

She started from a graph, where she found the solution to be between and 0. Using the lower and upper bounds from the graph, Roxanne started the first iteration of successive approximation. Where did Roxanne make a mistake, and what was the error?

Answers

Answer:

B. Roxanne made a mistake at step 5. She should have used x - 1/2 as the new upper bound.

Step-by-step explanation:

Based on the successive approximation method, Roxanne made a mistake at step 5. She should have used x = -1/2 as the new upper bound.

What is successive approximation?

In Science, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.

In this scenario, Roxanne started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that Roxanne made a mistake at step 5 because she should have used x = -1/2 as the new upper bound.

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A die is rolled twice. What is the probability of showing a 4 on both rolls?

Answers

Answer:

1/36

Step-by-step explanation:

So what you have to do is take all the numbers on the dice. Getting a 4 would be a 1 in 6 (1/6) chance, but then you take the risk of rolling again and trying to get another 4. Nothing changes with the amount of sides, so it would just be another 1/6 change to get the 4. Then, you have to multiply the two changes together. SO 1/6 x 1/6 = 1/36. It is a 1/36 chance to role a 4 on both roles.

The probability of an event is a number between  [tex]0[/tex] and [tex]1[/tex]. Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between  [tex]0[/tex] and [tex]1[/tex].

The probability of the first throw  [tex]4[/tex] is [tex]\frac{1}{6}[/tex].

And on the second throw is [tex]\frac{1}{6}[/tex].

For both, the throws probability [tex]4[/tex] would be

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{36}[/tex]

Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].

To know more about probability

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Thembi leaves school at 07:10 to get to school at 07:45. How long does it take her to school and home each week?​

Answers

Its takes 350 minutes

Michael can clean the store in 6 hours. Together him and Lebron can clean the same store in 2 hours. How long would it take for Lebron to clean the store alone?

Answers

Answer:

4 hours.

Step-by-step explanation:

The difference between 6 and 2 is 4.

59+2=?
help i need somebody help not just anybody

Answers

Answer:

59+2=61

Step-by-step explanation:

8×5 implies that 40 is a multiple of......................... And........................ ​

Answers

8 & 5

5.10.15.20.35.40

8.16.24.32.40

There are 32 students in the 6th grade at Garden Valley Middle School. Eight of them have freckles. What is the ratio of 6th graders with freckles to the total number of 6th graders?
A.
1:4
B.
4:1
C.
1:3
D.
3:1

Answers

Answer:

A. 1:4 is the answer of this question

Answer:

a

Step-by-step explanation:

there's a pattern that goes along with the 32 students in the 6th grade. since 8 is a factor (or multiple?) of 32, and 8x4 is 32, we can simplify.

so, 8 is the first multiple of 32 and 32 is the fourth. if we simplify that, we get 1:4.

the answer is 1:4.

Is 9 a solution to the equation?
3x - 7=20
Yes no

Answers

Answer:

yes

Step-by-step explanation:

because its right i know its right

yes 9 is a solution to the equation. When you substitute 9 for x and solve you get 20=20 which means that 9 is in fact a solution.

For the simple linear equation below, what is the y-coordinate of the ordered pair when the x-coordinate is -15? y=4/5x Enter your answer in the box.(-15, )​

Answers

Answer:

The answer is -12

Step-by-step explanation:

Please help!
In the figure below, P is the midpoint of LM, and Q is the midpoint of MN. Use the Midpoint formula to find the location of point P and point Q.

Answers

Answer:

P= (5.5, 8)

Q=(8.5,5)

Step-by-step explanation:

Coordinates of L: (2,7)

Coordinates of M: (9,9)

Coordinates of N: (8,1)

Midpoint formula is: [tex]\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]

P is the midpoint of LM, so the coordinates of P will be ((2+9)/2,(7+9)/2)

P's coordinates are (5.5, 8)

Q is the midpoint of MN, so the coordinates of Q will be ((9+8)/2,(9+1)/2)

Q's coordinates are (8.5,5)

th LEARNING TASK & Equation FIND THE THE EQUATION OF THE LINE, WRITE STANDARD FORM. THE SLOPE is 5 passing through (-1,4).​

Answers

Step-by-step explanation:

to find the equation of a line having the slope use this formula:

[tex]y - yp = m(x - xp)[/tex]

in which:

- yp is the y of the point (so 4);

- m is the slope (so 5);

- xp is the x of the point (so -1)

so:

[tex]y - 4 = 5(x - ( - 1))[/tex]

[tex]y - 4 = 5x + 5[/tex]

[tex]y=5x + 5 + 4[/tex]

[tex]y = 5x + 9[/tex]

solve algebraically 2x^2+4x-85 ≤-4x+5

Answers

Answer:

x ≤ -9 and x ≤ 5

Step-by-step explanation:

2x² + 4x - 85 ≤ -4x +5

2x² + 8x - 85 ≤ 5

2x² + 8x - 90 ≤ 0

x² + 8x -180 ≤ 0

(x + 18)(x - 10) ≤ 0

(x + 9)(x - 5) ≤ 0

x + 9 ≤ 0

x ≤ -9

x - 5 ≤ 0

x ≤ 5

1.Which of the following is equivalent to 0.00451


Second question. Which of the following is equivalent to 6.32 x 10-*3?

Answers

Answer:

1)[tex]4.51[/tex]×[tex]10^-3[/tex]

2) .00632

Step-by-step explanation:

1.Which of the following is equivalent to 0.00451?

= [tex]\frac{451}{100000}[/tex]

=[tex]\frac{4.51}{1000}[/tex]

=[tex]\frac{4.51}{10^3}[/tex]

= [tex]4.51[/tex]×[tex]10^-3[/tex]

Therefore the answer is (a)

===================================================================

Which of the following is equivalent to 6.32 x 10-*3?

In order to find the answer to this question you can just put the notation into standard form which means they will be equivalent to each other.

The exponent is negative so you move to the left:

[tex]6.32=.00632[/tex]

=[tex].00632[/tex]

Therefore 6.32*10^-3 is equivalent too (c) .00632

two less than seven times a number c

btw this is write the phrase as an algebraic expression​

Answers

Answer:

3c-2

Step-by-step explanation:

Hope it helps!!!!!!!

what is proportion mean​

Answers

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

hope it helps

mark me brainliest pls

What option best describes the relation shown in the mapping diagram below?

Answers

I think c is the answer but plz make me a brainlist plZ plZ plZ plZ plZ always help you

What is the volume, in cubic cm, of a cube with an edge length of 20cm?

Answers

Answer:

Isn't it 8000 cubic cm sorry if it's wrong

According to the Rational Root Theorem, which statement about f(x)=8x3−4x2+6x+3 is true?

Group of answer choices

Any rational root of f(x) is a multiple of 8 divided by a multiple of 3.

Any rational root of f(x) is a factor of 8 divided by a factor of 3.

Any rational root of f(x) is a multiple of 3 divided by a multiple of 8.

Any rational root of f(x) is a factor of 3 divided by a factor of 8.

Answers

The rational root theorem is used to determine the possible roots of a function.

The true statement is: (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.

The function is given as:

[tex]\mathbf{f(x) = 8x^3 - 4x^2 + 6x + 3}[/tex]

The possible roots of a function

[tex]\mathbf{f(x) = qx^n + ax^{n-1} +.....+ p}[/tex]

are

[tex]\mathbf{Roots = \pm\frac{Factors\ of\ p}{Factors\ of\ q}}[/tex]

By comparison: p = 3 and q = 8

So, we have:

[tex]\mathbf{Roots = \pm\frac{Factors\ of\ 3}{Factors\ of\ 8}}[/tex]

Hence, the true option is (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.

Read more about rational root theorem at:

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Read and determine the mood of the following text. It was a dark and stormy night. I sat alone in the old, dilapidated house staring out the window. The sky was black, the wind was loud, and the rain slammed against the broken windowpane. I shut my eyes, remembering my earlier visit, and I felt so embarrassed and angry. When I opened them, the lightning bolt flashed and lit up the room once more. I had to get out of the house; I had to hide. No one could know my horrible mistake. I opened the door, took a deep breath, and ran into the cold and rain. Plz Im really stuck on this question also plz show work so I understand how to get this question. A mineral's density is 5g/cm and its volume is 2cm. What is the mass? i think its its either C or D but i don't know correct me if I'm wrong. A swimmer dives underwater and needs to swim a long distance while holding her breath. This prevents her body from getting oxygen.What is most likely to occur in her cells so that glycolysis can continue to produce ATP? a) cellular respiration b) alcohol synthesis c) lactic acid fermentation d) alcohol fermentation 4. Answer these questions based on your opinion a. Do you think report is the same with summary? Why?b. When we make a report, do you think we need to conduct extensive research first? Why?c. Do you think every report made is reliable and can be referred as source of information? Why? What's the area of the orange running track going around the field? Choose one of the following prompts. Write a five-sentence paragraph using chronological order and including a topic sentence to explain the steps you would take to complete one of the following tasks.Preparing for a testPreparing to host a party or an eventGetting ready for workCleaning your room or your homeBuilding a snowman, sandcastle, or sculptureCreating a budget your physician asks the patient if he has ever had a stroke. the patient answers, "i had a mini-stroke 3 years ago." what would you document in the patients pmhx? let's find what percent of the total number of quantities is the given number or quantities? a. Rs 750 Rs 150?b. 2 km is 600m?c. 1840 people are 1380 male?please help me to solve problems Question 18 of 20What is the purpose of combining the lists of what you enjoy doing and whatyou do well?A. Being able to see how great you areB. Being able to find common themes that could lead to a careerC. Being able to discover what you need to improveD. Being able to show your parentsSUBMIT Which of these statements is true about Newton's First Law of Motion? If the net force on an object is zero, its velocity will remain constant An unbalanced force on an object will always impact the objects speed an unbalanced force on an object will always change the objects direction Social Security and Personal Income tax are called Payroll taxes because _____. a. they help to balance the national payroll budget. b. they are automatically deducted from payroll. c. once paid, they are used to supplement the paychecks of people in need. d. you need to prove you have paid them before you can pick up your paycheck. which sector has lost more jobs due to technological changes? In the diagram below, angle PNO is congruent to angle PQR. RO = 7.1, PQ = 11.1, and PR= 8.9. Find the length of QN. Round your answer to the nearest tenth if necessary. will you please help me Schumer Box How To Read The Fine Print Which layer of the atmosphere contains the ozone layer that blocks most ofthe harmful ultraviolet radiation from the sun?A. StratosphereB. ThermosphereC. MesosphereD. Troposphere in developed countries which of the following is a positive effect of agricultural changes in the past century? A. Desertification B. Clearing rainforestsC. Contamination due to run offD. Amount of food produced has increased E. Nutrient rich soil for farmland increasing On a graph, points form a curved line.Using the scatterplot, determine the association. 4. Evaluate the expression:-32 - (-59) - (15-33).O A. 16O B. 52C. -2O D. 34