Mathematics College

100 points please help me asap!!

Answers

Answer 1

Answer:

[tex](x+5)^2=4[/tex]

Step-by-step explanation:

We have:

[tex]x^2+10x+21=0[/tex]

First, subtract 21 from both sides:

[tex]x^2+10x=-21[/tex]

Now, we can complete the square. We will divide the coefficient of the b term and square it. So:

[tex](\frac{b}{2})^2\Rightarrow(\frac{10}{2})^2=(5)^2=25[/tex]

So, we will add 25 to both sides:

[tex](x^2+10+25)=-21+25[/tex]

The left is the perfect square trinomial pattern. Add on the right:

[tex]((x)^2+2(5)(x)+(5)^2)=4[/tex]

Final step:

[tex](x+5)^2=4[/tex]

Related Questions

The ratio of butterflies to bees in Lucy's insect collection is 3 to 4. If there are 32 bees, how many butterflies would there be?

Answers

Answer:

24:32

Step-by-step explanation:

When I saw that you wrote 'the ratios of BUTTERFLIES TO BEES' it tells me that I need to do the order of But. to Bees. I saw you had 3:4, and you said, '32 bees' I know because of that, 32 bees needs to be the second.

I got my answer, by seeing 4x_=32. I actually multiplied 4x8=32, and then multiplied 3x8 as well, to get 24. Then I got my answer: 24:32!

HOPE I HELPED:)

-Adiel, Age 11, 6th Grade

how do you round 0.313265 to the nearest tenth of a percent

Answers

Answer:

.313265*100 is 31.3265

rounded is 31.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explain how you can find the missing number in 3 4/5 divided by x equal 2 5/7. Then find the missing number.

Answers

Answer:

You multiply

Step-by-step explanation:

You multiply 3 4/5 and 2 5/7

Answer is 10 1/3

Please help fill it in I’ll mark you as brainlist

Answers

Answer:

it so blurry

Step-by-step explanation:

In the first box, it is 0.45 and in the second box it is 1.5

Please answer this correctly without making mistakes

Answers

Answer:

The point G represents: "60 dollars is the cost to dry clean 6 suits."

Step-by-step explanation:

If you look at the graph, on the bottom it shows number of suits, which is the independent. On the left it shows the cost of suits which is the dependent.

The dependent (Money) depends on the independent (Suits) so when you look at the point G you see that it is graphed on 6 suits for 60 dollars.

Need the answer ASAP. -6x-4>-2(x-4)

Answers

Here is what I got for this problem

Are 4/7 and 12/21 equivalent fractions? Why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

12/21 simplified is 4/7. if you divide the numerator (12) by 3 and the denominator (21) by 3, you get 4 and 7, or 4/7 if you put it together.

4/7 and 12/21 are equivalent fractions

What is Fraction?

A fraction represents a part of a whole.

We need to check whether the fractions 4/7 and 12/21 are equivalent or not.

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

12/21 we have to simplify.

12 and 21 are the multiples of 3, so divide numerator and denominator by 3

which gives 4/7

12/21=4/7

Hence, 4/7 and 12/21 are equivalent fractions

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

Write the slope-intercept form of the given line. Include your work in your final answer.

Answers

Answer:

[tex]y=-\frac{1}{3}x+1[/tex]

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Where 'm' = slope of the line

b = y-intercept

From the picture attached,

b = 1

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line passing through the points (0, 1) and (3, 0) will be,

m = [tex]\frac{0-1}{3-0}[/tex] = [tex]-\frac{1}{3}[/tex]

Equation of the line will be,

[tex]y=-\frac{1}{3}x+1[/tex]

CJ = 2x – 1 and
JT = 82 – 43

Answers

Answer:

CT = 10x-44

Step-by-step explanation:

Since J is the midpoint you would set your equation up like this

2x-1+8x-43

Now you would add like terms

10x-44

Hope this helps!

The quotient of a number and -5 has a result of 2. What is the number?

Type the correct answer in the box. Use numerals instead of words.

n =

Answers

Answer:

Answer is -10

Step-by-step explanation:

Explanation:

First, define the variable. Let n represent the unknown number.

Next, write an equation to represent the situation. Because a quotient is the result of division, divide the unknown number by -5:

Then, use opposite operations and the properties of equality to solve for n. Notice that the variable, n, is divided by -5. So, to isolate n, do the opposite and multiply both sides of the equation by -5:

Finally, to check the solution, substitute -10 for n in the original equation:

The resulting statement is true, so the solution is correct.

Which of Talia's steps is incorrect?
Step:1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1,3) into the point-slope form

Answers

Answer:

Step-by-step explanation: B

Find x - someone help me please

Answers

Answer:

-10

Step-by-step explanation:

x + 75 + x + 125 = 180 add like terms

2x + 200 = 180 subtract 200 from both sides

2x = -20 divide both sides by 2

x = -10

How you do this work ?

Answers

Answer:

Step-by-step explanation:

1 ant = 6 legs

6 legs ×2 ants= 12 legs of ants

1 butterfly = 6 legs

2 butterfly ×6 legs = 12 legs of butterfly

total

12 legs of butterfly + 12 legs of ants

= 24 legs in total

Answer:

Step-by-step explanation:

1 ant = 6 legs

2 ants = 6 + 6 = 12

2 ants = 12 legs

1 butterfly = 6 legs

2 butterflies = 6 + 6 = 12

2 butterflies = 12 legs

12 + 12 = 24

There were 24 legs all together.

Suppose a sample of radioactive substance weighs 40 mg. One year later the sample weighs 29.5 mg. What is the half life of the substance?

Answers

Answer:Use the radioactive decay formula: A = Ao*2^(-t/h), where:

A = Amt of remaining after t time

Step-by-step explanation:

Ao = Initial amt

t = time of decay

h = half-life of the substance

in this problem

A = 21.5

Ao = 38

t = 1 year

h = half life of substance

If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?

There is one real root.

There are two complex imaginary roots.

There is one complex imaginary root.

There are two real roots.

Answers

Answer:

Step-by-step explanation:

A discriminate of -8 is never going to give you a real root. D is wrong

You cannot have just 1 complex root, nor can you have just 1 real root unless the discriminate is 0. A and C are both wrong for the same reason. 1 complex root is impossible. They come in pairs.

So the answer is B. You have 2 complex roots.

$4.99 for 6 cans or $7.99 for 10 cans?

Answers

Answer:

$7.99 for 10 cans

Step-by-step explanation:

First you want to see what the price is for one can. Do this by dividing 6 from 4.99 (4.99/6). This gives you 83 cents per can. Do the same for the other, and you get 79 cents per can. 79 cents is a better value than 83 cents.

Try This question out and I’ll give you brainliest

Answers

Answer:

Step-by-step explanation:

2d represents the amount sold on Tuesday

subtracting 150 from this amount fits the question

find the sum for (2w-9) + (-4w - 5)

Answers

Answer:

The solution to this problem is −2−14

Step-by-step explanation:

please help me finding both angles, thanks :)

Answers

for the first picture

1) 123
2) 57

for the second

1) 123
2) 57

Both are 123

When dealing with angles you have to remember that all angles add up to 180, “the line angle” as I like to call it, it’s because 180 is completely flat.

2: Here you can use your eyes to see the angle is wider than 90, ”a perfect right”. So you can easily assume that the angle is gonna be 123.

1: the angle here shares the same place as your original angle. So you can easily assume that they have the same degree

Simple things very clear, hope this helps

if p:q=2:3 and q:r=6:5 find p:r

Answers

Step-by-step explanation:

p/q=2/3

q/r=6/5

First q is to be made same . So take LCM of 3 and 6 which is 6 only.

Now,

p/q=2×2/3×2=4/6

q/r=6/5 only

Cancel both the 6.

Therefore the answer is p/r=4/5.

Hope this helps

Answer:

p:r =4:5

hope it helps

2. Simplify the expression (6.8 x 106) +
(3.4 X 106). Express
your answer in
scientific notation.
someone help

Answers

Answer:

1081.2x10

Step-by-step explanation:

= ?[tex]\sqrt{x} \sqrt{x} -(-9)^2\\[/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{x} \sqrt{x} -(-9)^{2} \\=x-81\\x=81[/tex]

Identify the slope using the
following two points: (-1, 6) and
(-3, 10)

Answers

Step-by-step explanation:

Remember (y2-y1)/(x2-x1)

[tex] \frac{y {}^{2} - y ^{1} }{x {}^{2} - x {}^{1} } [/tex]

for y, 10-6 = 4

for z, -3 + 1= -2

4/-2 is -2

your slope is -2

A survey found that women's heights are normally distributed with mean 63.9 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.9 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts (a) and (b) below.

a. Find the percentage of men meeting the height requirement.

What does the result suggest about the genders of the people who are employed as characters at the amusement park?

Answers

Because you just need to identify it yourself

Djdndbex ddjejw 1232

Help please

Is it possible that the lengths of the sides of a triangle are proportional to the numbers 1, 2, and 3?

Answers

Answer:

Step-by-step explanation:

Triangular Inequalities state that in a triangle, the sides must always be less than the sum of the other two.

You would have sides x, 2x, 3x in this case and use the inequality a+b>c.

if...

a=x, b=2x, c=3x

then...

x+2x>3x

3x>3x which is false.

Therefore you cannot make a triangle with sides proportional to 1, 2, and 3.

As Mercury revolves around the sun, it travels at a speed of approximately 30 miles per second.Convert this speed to miles per minute. At this speed, how many miles will Mercury travel in 3 minutes? Do not round your answers.

Answers

Answer:

Step-by-step explanation:

30*1.6 = 48 km per second

48 * 2 = 96 kilometres

this is not rounded!!

What is the product of StartFraction 4 Over 9 EndFraction and StartFraction 1 Over 11 EndFraction

Answers

Answer:

4/99

Step-by-step explanation:

HELP I GIVE 15 POINTS

Answers

Answer:

Alright well first off you start by converting everything to fractions, but decimals work better for me. So it would be 40.5 and 1.25, 40.5 being miles and the other gas. Divide 40.5 by 1.25, giving you 32.4

His car get 32.4 miles per gallon

a teacher has a 12 lb bag of sand the sand will be divided evenly into 0.8 pound container if using all the saying how many 0.8 pound containers does the teacher use

Answers

the teacher will use 15 containers because 12lb / 0.8 lbs is 15

erika says that no matter how many decimal places she divides to when she divides 1 by 3, the digit 3 in the quotient will just keep repeating. is she correct?n

Answers

Answer:

Yes

Step-by-step explanation:

When u divide 1 by 3 the answer is repeating 0.3333....

Other Questions

Use the model to help you find the product. 1 23 13A model represents 1 and two-thirds.Each big square is cut into 3 parts to represent multiplying by one-third.The number of small shaded squares in the circled parts of each big square is the numerator of the product.The total number of small squares in a single big square represents the denominator of the product.The product is . How did economic differences between the North and the South lead to conflict? A. The South's shipping ports took business away from the North.B. The South's reliance on agriculture led to their dependence on slave labor.C. The North's development of industries polluted the environment. This is for my recent question! In a 180-kilogram sample of ore, there was 3.2% metal. How many kilograms of metal were in the sample? What is the final step of cytokinesis in animal cells? a/b = (a+b)/aWhat is the value of a/b? Please show all steps. (20 POINTS) This diagram shows an origami fish. The fish has been labeled to show several line segments. Which pair of line segments appears to be parallel? Which coast of north America has the greater amount of earthquakes, volcanoes and mountain s? Which composite figure is made up of a cone and a cylinder? The area of a rectangle is given by x2 - 12x + 35. Determine the length and breadth interms of x. Hence, determine the length and breadth if x = 20.(3) what is the approximate height of the rice container if the radius is 2.5 in. and the volume is 235.5 in cubed Please identify the appropriate term for the following scenarios. a. Ivan, a Russian fishermen, needs a permit so that he can commercially participate in ice fishing for yellow perch and then the consequent sales. b. Garet is an undergraduate student who has to work at McDonald's part time to help pay his tuition loans. Always looking on the bright side of things, he is thankful that he can't make less than what he is earning. $7.25 an hour. c. D'Artagnan, a poor French noblemen, discovers a large cache of truffles in his backyard. However the government caps the sale of truffles at $100 a pound, which frustrates D'Artagnan as he knows they are worth more than that. d. Athos is an avid collector of swords, but as they are illegal to purchase, he goes by illicit means to obtain them. e. To help out farmers, the government sets the minimum price of potatoes at $26 a bushel. f. In order to support domestic sales of textiles, the country of Germany puts a cap on the amount of foreign textiles it imports.1. Price Floor2. License3. Price Ceiling4. Quota5. Black Market How did Christopher Columbus impact the people who already lived in the Caribbean? Marcy is putting a wallpaper border at the top of the walls of her baby's rectangular room. The width of the room is 2 feet less than the length. If she needs 52 feet of border, what are the dimensions of the room? Now, imagine that port chester decides to crack down on motorists who park illegally by increasing the number of officers issuing parking tickets (thus, raising the probability of a ticket). If the cost of a ticket is $100, and the opportunity cost for the average driver of searching for parking is $25, which of the following probabilities would make the average person stop parking illegally? assume that people will not park illegally if the expected value of doing so is negative. Check all that apply USING COMMAS, SEMICOLONS, AND COLONS TO SEPARATE ELEMENTS IN A SERIES: The following sentences lack necessary commas, semicolons, and colons. Write the sentence with correct punctuation. Bring the following supplies with you a tent a sleeping bag and a change of clothes. The ocean is the largest reservoir of carbon on Earth. Which of the following would most likely store carbon for the longest amount of time?Question 6 options:Calcium carbonate shells of marine organisms, like coral, oysters, and clamsDissolved CO2 in surface ocean waterDissolved CO2 in deep ocean waterCarbon stored in the rocks Help guys asap this is due today. Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.The volume of the cylinder in^3?The volume of with the same radius and double the height is ? WILL GIVE A LOT OF POINTSDetermine the intercepts of the line.73 5 = 4y 6 Suppose Alice, Bob, and Carol want to use secret key technology to authenticate each other. If they all used the same secret key K, then Bob could impersonate Carol to Alicia (actually any of three can impersonate the other to the third). Suppose instead that each had their own secret key, so Alice uses KA, Bob uses KB, and Carol uses KC. This means that each one, to prove his/her identity, responds to a challenge with a function of his/her secret key and the challenge. Is this more secure than having them all use the same secret key K? (Hint: what does Alice need to know in order to verify Carols answer to Alices challenge?)