x^2+13x+30=0 in quadratic formula

Answers

Answer 1
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ \text{then exist two solutions}\\\\\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ \text{then exist one solution}\\\\x_o=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ \text{then not exist any solutions}[/tex]

[tex]x^2+13x+30=0\\\\a=1;\ b=13;\ c=30\\\\\Delta=13^2-4\cdot1\cdot30=169-120=49 > 0\\\\\sqrt\Delta=\sqrt{49}=7\\\\x_1=\dfrac{-13-7}{2\cdot1}=\dfrac{-20}{2}=-10\\\\x_2=\dfrac{-13+7}{2\cdot1}=\dfrac{-6}{2}=-3[/tex]

Answer: x = -10 or x= -6.

Related Questions

What is the square roots of 144/256?

-9/16 and 9/16

-12/16 and 12/16

-12/18 and 12/18

-72/128 and 72/128

Answers

To find the square root of something, you have to find the number that can multiply by itself to get the desired number.

So: 12 x 12= 144

So this means that the square root of 144 is 12.

Next: 16 x 16= 256

So 16 is the square root of 256.

The square root of any number (not negative) can easily be found by inserting that number into a calculator, then hitting the square root button.

joel made some muffins. he gave 1/4 of the muffins to a neighbor. he took 3/8 of the muffins to school. what fraction of the muffins is left

Answers

The answer will be 3/32.How I got this answer is fraction is like doing multiplying and dividing so just do your time tables if you know them.Then you will get your answer.

Hopes This Helps :D
8/8 = Total
1/4 = 2/8 (Same denominators make it easier to subtract)
2/8 + 3/8 = 5/8 (5/8 is the amount given away)
8/8 - 5/8 = 3/8

Joel has 3/8 of the muffins left

Hope this helps!

He has

A: Jennifer surveyed her classmates recording gender, whether or not they had siblings, and if they liked school. Which two-way table displays the gender and if they have any siblings?

Answers

its c i took the test also on usa test prep

Please Help ASAP! Would be greatly appreciated.

Answers

Your answer would be G. You can do away with F and H immediately, because these line graphs show you no important information, and graph J shows 24/3, rather than 24/8, so it is incorrect also.
Hi,
The answer G represents -24/8 the best because it is dividing it into eight parts.
Hope this helps you.

Which of the following statements is NOT true?

1) Similar quadrilaterals have all corresponding angles.

2) Similar quadrilaterals have corresponding sides in the same proportion.

3) Similar quadrilaterals are always reflections of one another.

4) Similar rectangles have corresponding angles & sides that are in proportions

Answers

Final answer:

The incorrect statement about similar quadrilaterals is that they are always reflections of one another. Similarity requires equal angles and proportional sides, but does not require figures to be reflections.

Explanation:

The statement that is NOT true among the ones provided about similar quadrilaterals is "Similar quadrilaterals are always reflections of one another."While similar quadrilaterals do have corresponding angles and sides that are in proportion, that alone does not necessitate that one is a reflection of the other.

Reflection involves a specific type of isometry where the figure is flipped across a line, creating a mirror image.

Similarity, on the other hand, only requires that all angles are congruent and all sides are in proportion, regardless of any reflection or orientation.

To further illustrate, consider two rectangles that are similar. They may simply have their sides scaled up or down by the same factor, without necessarily being reflections of one another.

On the other hand, two shapes that are reflections of each other would be congruent, implying that they are the same size as well as being mirror images with respect to a line of reflection.

Final answer:

The statement that is NOT true is number 3: Similar quadrilaterals are always reflections of one another.

Explanation:

The statement that is NOT true is number 3) Similar quadrilaterals are always reflections of one another.

Similar quadrilaterals have all corresponding angles (statement 1) and corresponding sides in the same proportion (statement 2). However, not all similar quadrilaterals are reflections of each other. Similarity refers to the relationship between the corresponding angles and sides of two shapes, not their orientation or position in space.

For example, consider two rectangles with different orientations, but the same angle measures and ratio of corresponding sides. These rectangles are similar, but they are not reflections of each other.

Billy left home at 9:00 a.m. and rode his bike to the park at an average speed of 10mph. He arrived at the park at 9:30. How many miles from the park is Billy’s house.

Answers

it took half an hour so it would be half of the 10 miles he would travel in an hour, making the number of miles he traveled 5 miles.

The solution is:

Park is 5 miles from Billy's home.

What is speed?

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

Given:

Billy left home at 9 a.m. And rode his bicycle to the park at an average speed of 10 miles per hour here and got the park at 9:30 a.m.

Now, to find the distance from park to Billy,s home.

Time it took Billy to rode his bicycle from park to home is from 9.30 a.m to 9.30 p.m.

So, the time = (9.30 - 9.00) = 30 minutes

Speed = 10 miles per hour.

Now, to get the distance from park to Billy's home we put formula:

Speed = Distance/ Time.

so, we get,

Distance = 10 * 0.5

              = 5

Therefore, park is 5 miles from Billy's home.

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Jewelers building a pen for her baby turtles. She wants the pain to be 30 in long and 45 in wide. What piece of wood will Jill need to purchase to buildTurtle pin?

Answers

135 I think just multiple 45x30

Beth drew four quadrilaterals which of the four quadrilaterals that she Drew is a regular polygon

Answers

D would be a regular polygon since regular polygons are defined as shapes that consist of the same sized angles and sides. 

Which two words from the passage have nearly OPPOSITE meanings?
A influential, philosopher

B talent, interests

C support, against

D rights, changes

Answers

THE ANSWER IS A 
b IS talent and intersent have the same type of meaning
c to support and be against is are different but mean the same thing in a different word
D rights and changes are the way to suport and change people
C I believe is right

Solve the system of equations for 7x+2y=16 and -21x-6y=24

Answers

Simplifying
7x + 2y = 16

Solving
7x + 2y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.
7x + 2y + -2y = 16 + -2y

Combine like terms: 2y + -2y = 0
7x + 0 = 16 + -2y
7x = 16 + -2y

Divide each side by '7'.
x = 2.285714286 + -0.2857142857y

Simplifying
x = 2.285714286 + -0.2857142857y

Find the value of x on this triangle

Answers

Look at the picture.

ΔABD and ΔBCD are similar, therefore:

[tex]\dfrac{y}{5}=\dfrac{11}{y}\ \ \ |\cross\ multiply\\\\y^2=55\to y=\sqrt{55}[/tex]

Use Pythagorean theorem:

[tex]x^2=5^2+(\sqrt{55})^2\\\\x^2=25+55\\\\x^2=80\to x=\sqrt{80}\\\\x=\sqrt{16\cdot5}\\\\x=\sqrt{16}\cdot\sqrt5\\\\\boxed{x=4\sqrt5}[/tex]

A number x is greater than o

Answers

dude this is simple just x>0
X>0
It can be 1,2,3,4,5

URGENT WORTH 20 POINTS

What is the best equation for the line of best fit for the data set?


yˆ=−3x+15

yˆ=−13x+15

yˆ=−3x+2

yˆ=−13x+2

Answers

If we were to draw a best fit line, the y-interest would be near 15, and the slope would be negative.

In the options given, the slope is either -3 or -13. If we imagine a line through the plotted points, the rise would be about 15 while the run would be about 5. This means the slope is about -3.

The best answer is y = -3x + 15





This is an EXPLAIN YOUR THOUGHTS QUESTION, be sure to answer ALL parts of the questions and show all your work.

Task: Find the surface area of a square pyramid with each side of the base measuring 6 cm and the slant height is 12 cm.

Part a) Identify the known values

Part b) Set up the equation that you will use to solve (be sure to include the known values and the variable that you are trying to solve for)

Part c) Solve the equation. (Be sure to include units!)

Answers

a) The known values are ...
• the edge length of the square pyramid base is 6 cm
• the slant height of the square pyramid faces is 12 cm

b) The surface area is the sum of the area of the base and the area of the four triangular sides. The area of a triangle is half the product of base length and height (slant height, in this case).
  A = b² +4*(1/2)*bh = b(b +2h)
Substituting known values, we have ...
  A = (6 cm)*(6 cm +2*12 cm)

c) A = (6 cm)*(6 cm +24 cm) . . . . order of operations: multiplication inside parens
  A = (6 cm)*(30 cm) . . . . . addition inside parens
  A = 180 cm² . . . . . . . . . . multiplication
The area of the pyramid is 180 cm².

Elaina ran 2.52 miles on Monday, 4.53 miles on Wednesday, and 3.45 miles on Saturday. What percent of the total miles did Elaina run on Monday?

Answers

To calculate the percent of total miles Elaina ran on Monday, add her running totals, find the fraction for Monday, and convert it to a percentage. Elaina ran 24% of her total weekly miles on Monday.

To determine what percent of the total miles Elaina ran on Monday, we first need to calculate the total number of miles she ran for the week. Then, we'll find out what fraction represents Monday's run in relation to the total, and finally convert that fraction to a percentage.

First, we sum up the miles:

Monday: 2.52 milesWednesday: 4.53 milesSaturday: 3.45 miles

Total miles = 2.52 + 4.53 + 3.45

Total miles = 10.50 miles

Next, we determine what fraction of the total distance was run on Monday:

Monday's fraction = Monday's miles / Total miles = 2.52 / 10.50

Finally, we convert this fraction to a percentage:

Monday's percentage = (Monday's fraction) x 100 = (2.52 / 10.50) x 100

Monday's percentage = 24% (rounded to the nearest whole percent)

Thus, Elaina ran 24 percent of her total weekly mileage on Monday.

PLEASE HELP! LAST QUESTIONS! I NEED AN 80% OR ABOVE TO PASS PLEASE HELP!
The circle graph below shows the percentages of Mrs. Frederick’s monthly budget for July. Her total monthly income is $2,800.

Pie Chart Below

In August’s monthly budget, Mrs. Frederick spent $126 more on clothes than she did in July. In August, what percentage of her monthly income of $2,800 was spent on clothes?
A 15%
B 12.5%
C 11.5%
D 10%

The Hernandez family has a monthly income of $4,500. The Thomas family has a monthly income of $3,200. The two circle graphs show the monthly budgets of two families.

pie charts below

Which statement is supported by the data in the two graphs?
A The Thomas family spends more dollars each month on transportation than the Hernandez family does.
B The Hernandez family spends more dollars each month on food than the Thomas family does.
C Both families spend more dollars on “other” than on transportation.
D Both families spend the same amount of dollars each month on housing.

Hassan deposited $7,500 into a bank account. At the end of 3 years, the account had earned $900 in simple interest. What rate of interest did the account earn per year?
A 2.78%
B 4%
C 8.33%
D 12%

Mr. Wilt prepares some chicken wings for a picnic. The bar graph below shows the number of different types of wings he prepares.

Bar graph below

Based on the bar graph, which of these statements is true?
A Mr. Wilt prepares 2 more plain wings than hot wings.
B Mr. Wilt prepares twice as many plain wings as hot wings.
C Mr. Wilt prepares 2 more barbecue wings than garlic wings.
D Mr. Wilt prepares twice as many barbecue wings as garlic wings.

Which of the following would be best represented by a circle graph?
A the heights of different types of trees
B the number of votes for each of 5 candidates for class president
C theamountofwaterthatfilledasinkafter1,2, 3, and 4 minutes
D the number of hours each student studied compared to their grades on a test

The ages of the members of a volunteer group are shown below. 13, 14, 14, 14, 15, 15, 15, 16, 16, 21, 23 Which box and whisker plot best represents these data?

Data below

A
B
C
D

Answers

The answer to the first question is B.12.5%. The answer to the second question is A. The Thomas family spends more dollars each month on transportation than the Hernanez family does. The answer to the third question is B.4%. The answer to he fourth question is A.Mr. Wilt prepares 2 more plain wings than hot wings. The answer to the fifth question is B.The number of votes for each of 5 canidates for class president. I don't know if I'm correct on this question but I think the answer to the last question is D. Hope this helped.

In a wooded area, you randomly select 10 trees and find that 3 are tagged. You conclude that there is a 30% probability of randomly selecting a tagged tree.

A. Empirical
B. Theoretical

Answers

It's Empirical, I believe.

A. It's Empirical (APEX)

janis and susan went to a clearance sale at a clothing store all blouses were selling for the same price and all skirts were selling for the same price janis bought 4 blouses and skirts in total of $68 what was the cost of each blouse?

Answers

Final answer:

If all 4 items were blouses, each blouse would cost $17. Without knowing how many skirts were bought, we can't definitively determine the exact price of each blouse.

Explanation:

In order to find the cost of each blouse we need to follow the step-by-step solution. Imagine that all items Janis purchased were blouses. As we don't know the exact number of skirts she bought, assume she bought 4 blouses for $68, so the price of one blouse would be $68 divided by 4, which equals $17. However, if Janis also purchased skirts which are not necessarily the same price as blouses, the price of a blouse could actually be less than $17. Without further information on the number and price of skirts, we can't definitively say what the price of each blouse would be.

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A spinner is spun 120 times and stops on blue 32 times. Calculate the experimental probability of the spinner stopping on blue.

Answers

the probability is 4/15 or 27% (rounded to the tenths place)

i hope this helps

if you flip a coin ten times, how many diffrent sequences of heads and tails are possible

Answers

Answer:

I'm pretty sure its D

Step-by-step explanation: Brainliest???

Plz help
A cheetah runs at a speed of 50 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?
A.t=50d
B.d=50 + t
C.d=50t
D.t=50 +d

Answers

.t=50 +d so the answer is d

To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x? 2x − 4y = 6 −3x + 3y = 12

Answers

Final answer:

To eliminate the y-variable in the given system of equations and find the value of x, you can multiply the first equation by 3 and the second equation by 4 to make the coefficients of y equal. Then, add the two equations together to eliminate the y-variable. Finally, solve for x.

Explanation:

To eliminate the y-variable and find the value of x in the given system of equations, we can multiply the first equation by 3 and the second equation by 4 to make the coefficients of y in both equations equal. This will allow us to eliminate the y-variable when we subtract the two equations.

Multiplying the first equation by 3, we get: 6x - 12y = 18

Multiplying the second equation by 4, we get: -12x + 12y = 48

Now, we can add the two equations together, and the y-variable will cancel out: (6x - 12y) + (-12x + 12y) = 18 + 48

Simplifying, we have: -6x = 66

Dividing both sides by -6, we find: x = -11

Therefore, the value of x is -11.

Final answer:

To eliminate the y-variable and find the value of x in the system of equations, we can use the method of elimination. We can multiply the equations by coefficients to create opposite coefficients for the y-terms, which will cancel each other out when added together. The resulting equation can then be solved to find the value of x.

Explanation:

To eliminate the y-variable and find the value of x, we can use the method of elimination. In this case, we need to multiply the two equations by coefficients that will create opposite coefficients for the y-terms so that they will cancel each other out when added together. Let's multiply the first equation by 3 and the second equation by 4:

6x - 12y = 18

-12x + 12y = 48

Adding these two equations eliminates the y-variable:

-6x = 66

Solving for x, we divide both sides by -6:

x = -11

HEEEEEELLLLLLPPPPPP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.

Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.

Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.

Answers

Part A. 4d- the d is how many desserts will be made
part B. 6- 
24 / 4 is 6

Answer:

4x=24

Step-by-step explanation:

I have a formula of 10 ounces of powder to 1 gallon of water, I need to know how much powder to use to a pint.

Answers

the answer is 1.25 ounces

Can someone help me find the area

Answers

To find the volume of a container, you simply multiply: L(ength) x B(ase) x H(eight).

In total, you should get a volume of 1078in^3 (the bigger container) plus 175in^3 (the smaller container on top of the bigger one). The answer is 1,253in^3.

Hope this helped! :)

What are the roots of the quadratic equation X² + 4X + 4. How many roots are there.

Answers

If we set the equation equal to 0, we can factor it to find its roots:

x² + 4x + 4 = 0
(x + 2)(x + 2) = 0
x = -2

This graph has one root, a double root, at -2.  This means that a single point, which must be the vertex of the parabola, touches the x-axis at (-2, 0)

calculate the area of a rectangle with an altitude of 30 cm and a diagonal of 50 cm

Answers

Final answer:

Given the diagonal and altitude of a rectangle, we can use the Pythagorean theorem to find the base. From there, multiply the base and altitude to find the area of the rectangle. In this case, the area is 1200 cm².

Explanation:

The question is asking to calculate the area of a rectangle given the altitude (height) and the diagonal. We have two parameters, the altitude which is 30 cm and the diagonal which is 50 cm. From this, we can infer that the rectangle forms a right triangle with the altitude and the base being the two perpendicular sides and the diagonal being the hypotenuse. In this case, we can apply the Pythagorean theorem: base² = diagonal² - altitude².

Absolving, we find the value of the base of the rectangle: base = sqrt(50² - 30²) = 40 cm. The area of the rectangle can be calculated using the formula: Area = base x altitude = 40 cm * 30 cm = 1200 cm². Therefore, the area of the rectangle is 1200 cm².

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talia has 2 red,1 blue and 4 green balls of the same size in the bag talia pulls one ball out of the bag without looking what is the probability that talia will pull a red ball out of the bag

Answers

There are 2 reds and the total amount of balls is 7
So the probability would be 2/7
(possible outcomes)/(total)

the answer is 2/7  there 2 red balls left and 7 balls all together so I am just saying the answer is 2/7  I just took the unit test

please give me the brainless thank you

Write and solve an inequality that represents the followinh: You want to read at least 12 books over the next 3 months. Let X represent the number of books read each month.

A. 3x>12;x>4
B.4x>12;x>3
C.3x>12;x<4
D.4x>12;x<3
(The signs are Greater than or equal to AND Less than or equal to signs but I couldn't put a line under them to signify that)

Answers

The answer would be A.

Annie is making square shaped flags to cheer on the swim team. The length of the side of the square is given by the expression 2x + 4. Which of the following gives an expression for the perimeter of the square? 4x + 8 2x + 16 8x +16 4x + 16 If x has a value of 5, what is the perimeter of the square? The perimeter is units. If x has a value of 3, what is the area of the square? Show all of your steps. Previous

Answers

If the side of the square is 2x+4, then the perimeter is [tex]P=4(2x+4)=8x+16[/tex].

If x=5, then the perimeter is P=8*5+16=56

If x=3, then the side of the square is 2*3+4=10 and the area is [tex]A=10*10=100[/tex]

The expression for the perimeter of Annie's square-shaped flag is 8x + 16 units. When x is 5, the perimeter of the flag is 56 units. If x is 3, the area of the flag is 100 square inches.

Annie is making a square-shaped flag with the side length given by the expression 2x + 4. To find the expression for the perimeter of the square, we recall that the perimeter of a square is the sum of all its sides. Since all sides of a square are equal, the perimeter is 4 times the length of one side. Therefore, the expression for the perimeter is 4(2x + 4), which simplifies to 8x + 16.

If x has a value of 5, we substitute 5 into our expression for the perimeter, giving us 8(5) + 16, which equals 40 + 16, so the perimeter is 56 units.

If x has a value of 3, the side of the square would be 2(3) + 4, which is 6 + 4, thus the side is 10 inches. The area of a square is the side length squared, so the area would be 10²or 100 square inches.

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