Use the quadratic formula to solve x² + 9x + 10 = 0.

What are the solutions to the equation?

Answers

Answer 1

Answer:

[tex]-1.30\ and\ -7.70[/tex] (2 decimal places)

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

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

[tex]x^2+9x+10=0[/tex]

Plug in values:

[tex]x=\frac{-9\pm \sqrt{9^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}[/tex]

First value of x:

[tex]x=\frac{-9+\sqrt{41}}{2}=-1.30[/tex] (2 decimal places)

Second value of x:

[tex]x=\frac{-9-\sqrt{41}}{2}=-7.70[/tex] (2 decimal places)


Related Questions

simplify -4 1/4 - (-9 1/2)

Answers

Answer:

the answer is 5 1/4

Answer: it’s d

Step-by-step explanation:

25 POINTS + BRAINLIEST 6⋅3−^2 −3^4 ⋅9+4^0 solve using the order of operations

Answers

Answer:

241

Step-by-step explanation:

6⋅3−^2 −3^4 ⋅9+4^0

256-10-15/3

=256-10-5        

=246-5

=241

A number that is a multiple of 2 is also a multiple of 4.If a number is a multiple of 2, then it a multiple of 4. False If a number is a multiple of two, then it is a multiple of 4. True If a number is a multiple of 4 then it is a multiple of 2. True If a number is a multiple of 4, then it is a multiple of 2. False False

ITS WORTH 10 PTS

Answers

Answer:

If a number is a multiple of 2, it may NOT be a multiple of 4. An example would be the number 6.

[tex]6\div2=3[/tex], but [tex]6\div4=1.5[/tex].

However, if a number is multiple of 4, it is guaranteed to be a multiple of 2, since 4 itself is a multiple of 2.

Example:

[tex]8\div4=2[/tex]

This is simply

[tex]8\div2\div2=2[/tex].

It is a multiple of 2 twice.

Answer:

A store sells six-packs of soda for $3.00 a six pack. If this relationship is graphed with the number of cans of soda on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per can?

Step-by-step explanation:

What is the value of the expression below plz help!

Answers

Step-by-step explanation:

Putting value of z

5(2)2 - 2 - 4

5(4) - 6

20 - 6

14

Started: Sep 10 at 2:13pm
Quiz Instructions
Complete the following for your daily assignment
tion
Question 2
Solve:
32x= 12
е

Answers

Answer:x=6

Does this help ?

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

Divide each term by

32

and simplify.

Exact Form: x=3/8

Decimal Form: x= 0.375

The perimeter of a rectangle is 160 meters. The length is 20 meters greater than the width. Find the dimensions of the rectangle.

Answers

Width=w Length=l Perimeter=p p=2w+2l l=20+w p=2w+20+w+20+w p=4w+40 4w+40=160 4w=160-40=120 w=120:4=30 w=30 l=20+w l=20+30=50

Order the numbers from greatest to least based on their absolute value:

|−25|, |0.5|, |−34|, |0.35|

Answers

Answer: |-34|, |-25|, |0.5|, |0.35|

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

Explanation:

The absolute value of a negative number is the positive version of that number

|-25| = 25

|-34| = 34

The absolute value of a positive number is that exact same number

|0.5| = 0.5

|0.35| = 0.35

Absolute value represents the distance a number is from 0 on the number line. The distance is never negative, which is why |-25| = 25 for instance.

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

After simplifying each absolute value, we get this list {25, 0.5, 34, 0.35}

That sorts from greatest to least to get {34, 25, 0.5, 0.35}

This means the answer is |-34|, |-25|, |0.5|, |0.35|

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

note: it might help to think of 0.5 as 0.50, so you can see that 0.50 is larger than 0.35

Andrew needs 995 tickets to get the prize he wants at the arcade. He already has 319 tickets and can earn 42 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?

Answers

Answer:

He has to play 17 times. Hope this Helps Have great day!

Step-by-step explanation:

i know this because 995-319=676 and 42x16=672 which is not enough so the answer would be 17

If your car can travel 40.5 mi on 3 gal of gasoline how many miles can the car travel on 28 gal of gasoline under similar driving conditions?

Answers

Answer:

378 Miles

Step-by-step explanation:

40.5 / 3 = 13.5

13.5 * 28 = 378

Follow the process for establishing a set of equations: Choose a variable to represent one of the unknowns. Express the remaining unknowns in terms of the variable you chose in step 1. Look for a relationship between the unknowns given in the problem. Write an equation. (Look for the other relationship given in the problem.) The tens digit of a number is twice the ones digit. The sum of the digits in the number is 12. What is the number? Include the entire process for establishing a set of equations, the solution, and an explanation of what the solution means in terms of the variables. Complete your work in the space provided.

Answers

Answer:

Number = 84

Step-by-step explanation:

Given

Represent Tens with T and Ones digit with U

[tex]T = 2U[/tex]

[tex]T + U = 12[/tex]

Required

Find the number

Substitute 2U for T in the second equation

[tex]2U + U = 12[/tex]

[tex]3U = 12[/tex]

Divide through by 3

[tex]U = 4[/tex]

Substitute 4 for U in the first equation

[tex]T = 2 * 4[/tex]

[tex]T = 8[/tex]

Hence, the number is 84

How do you simplify Radicals?
√180v^4​

Answers

Here are the steps required for Simplifying Radicals:

Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.

Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.

Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

Shorter version:

Step 1: Find the prime factorization of the number inside the radical.  

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

The area of a square garden is 209 m squared. How long is the diagonal?

Answers

Answer:

[tex]\sqrt{418}[/tex]

Step-by-step explanation:

The length of a diagonal of a square is [tex]\sqrt{2}a[/tex], where a is the length of one side.

If the area of a square garden is 209m, we know that the side length must be [tex]\sqrt{209}[/tex]m, since the area of a square is it’s side length squared.

Now we can substitute inside the formula.

[tex]\sqrt{2}\cdot\sqrt{209}[/tex]

When multiplying roots, the multiplication problem can simplify down to whatever is in the roots multilpied by each other.

So, [tex]209\cdot 2 = 418[/tex]

So the length of the diagonal is [tex]\sqrt{418}[/tex] m.

Hope this helped!

Solve for p in the literal equation 5p + 9r = q.

Answers

Answer:

p = q/5 - 9r/5

Step-by-step explanation:

Step 1: Write equation

5p + 9r = q

Step 2: Solve for p

Subtract 9r on both sides: 5p = q - 9r

Divide both sides by 5: p = q/5 - 9r/5

Which equation is equivalent to 5p - 4 = 3p + 6?

Answers

Answer:

8p

Step-by-step explanation:

5p-4=3p+6

-3p from 5p

2p-4=6

+4 at 4 to the 6

2p=10

divide 2p=10

8p

this should be right but not 100% thanks for the points

At the sound of the game starting buzzer, the pizza delivery man knocked at the door. Joseph received 3 large
meat lover's pizzas for himself and 13 of his closest friends. If each person wants 14 of a pizza, did Joseph
order enough food for everyone?

Answers

Answer:

no he did not

Step-by-step explanation:

well if everyone wanted 14 pieces but he has 13 friends + him if they wanted 14 pieces they would need 182 pieces of

Write and solve an equation to find the number n. The sum of twice a number and 13 is 75. Equation: =75 The number is n= .

Answers

Hey there! I'm happy to help!

We have twice the number.

2n

We want the sum of that and 13. Sum means to add.

2n+13

And this is 75.

Equation: 2n+13=75

We subtract 13 from both sides.

2n=62

We divide both sides by 2.

n=31

Have a wonderful day! :D

An equation is formed of two equal expressions. The value of n is 31.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the sum of twice a number and 13 is 75. Therefore, the equation for this situation can be written as,

[tex]2n+13 = 75[/tex]

Solving the above equation for n we will get,

[tex]2n+13 = 75\\\\2n = 75 -13\\\\2n= 62\\\\n = \dfrac{62}{2} \\\\n= 31[/tex]

Hence, the value of n is 31.

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The value of 2 · 5 2 is 100. TrueFalse

Answers

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

how do i write 38/11 as a decimal ? ​

Answers

Answer:

3.4545

Step-by-step explanation:

Combinar terminos semejantes :v

4p + 2p

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6p}}}}}[/tex]

Step-by-step explanation:

[tex] \bf{4p + 2p}[/tex]

sólo se pueden sumar o restar los coeficientes de términos similares.

[tex] \longrightarrow{ \bf{(4 + 2)p}}[/tex]

[tex] \longrightarrow{ \bf{6p}}[/tex]

Hope I helped!

Best regards! :D

If AB = BC, AB = 4x -2, and BC = 3x + 3, find the
length of AB.

Answers

Answer:

AB = 18

Step-by-step explanation: AB = BC

                      4x -2 = 3x + 3... subtract 3x and add 2

                      1x = 5.. divide both sides by 1 and x= 5

                                       plug x into 4x -2

                                           4(5) -2 = 18

The measure of length AB, If AB = BC, AB = 4x -2, and BC = 3x + 3, then AB is 18.

What is a line segment?

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

We have been given that AB = BC,  AB = 4x -2, and BC = 3x + 3, then we need to find the length of AB.

Therefore,

AB = BC

Now substitute the given parameters;

AB = BC

4x -2 = 3x + 3

Then subtract 3x both the sides and add 2;

1x = 5

Then divide both sides by 1

x= 5

Now plug x into 4x -2

AB = 4x -2

AB =  4(5) -2 = 18

AB = 18

Hence, The measure of length AB, If AB = BC, AB = 4x -2, and BC = 3x + 3, then AB is 18.

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convert 21 ft 9 in into yards feet and inches

Answers

Answer:

21 ft 9 in yards is 7.3 in inches it's 262.8

Solve for x: 3(x + 1) = -2(x - 1) +6. (1 point)
O
1
a
Ob
4
ос
5
d
25

Answers

It would be x = 1, hope this helps :)

Evaluate expression if x=2 y=3 z=4 6xz + 5xy

Answers

Answer: 78

Step-by-step explanation:

[6 (2) (4)] + [5 (2) (3) ]The first bracket, 6*2* = 12, 12 * 4 = 48The second bracket, 5*2 = 10, 10 * 3 = 30Add the answers of both brackets. 48 + 30 = 78

Answer:

78

Step-by-step explanation:

1. Present ages of Asha and Amina are in the ratio 4:5. Eight year from now, the ratio of their
ages will be 5:6. Find their present ages.

Answers

Answer:

32 and 40

Step-by-step explanation:

Their ages are in the ratio 4 : 5 = 4x : 5x ( x is a multiplier )

In 8 years their ages will be

4x + 8 and 5x + 8 in the ratio 5 : 6

Expressing this ratio in fractional form

[tex]\frac{4x+8}{5x+8}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(5x + 8) = 6(4x + 8) ← distribute parenthesis on both sides

25x + 40 = 24x + 48 ( subtract 24x from both sides )

x + 40 = 48 ( subtract 40 from both sides )

x = 8

Thus their present ages are

Asha = 4x = 4(8) = 32

Amina = 5x = 5(8) = 40

calculate the value of the expression
1, 284°

Answers

It would be 1,284° couculated by absolute rubies

The expression can be used to find the value of the expression: 1, 284 ÷ 4 will be (1, 200 ÷ 4) + (84 ÷4). Option C is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is,  1, 284 ÷ 4

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷. We'll apply division by Splitting into equal halves or groups.

=1284 / 4

The expression can be written as,

=(1200+84)/4

=1200/4 + 84/4

= 321

Thus, the expression can be used to find the value of the expression: 1, 284 ÷ 4 will be (1, 200 ÷ 4) + (84 ÷4). Option C is correct.

The question is incomplete, the complete question is" Find the expression can be used to find the value of the expression: 1, 284 ÷ 4

Learn more about the expression here:

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rewrite each expression using distributive property 24-9 15+42 81-15

Answers

Answer:

Step-by-step explanation:

you want to use PEMDAS which is parenthesis exponents multiplication division addition subtraction and work your way from left to right. so 15+42=57 and then 24-9=15 and 81-15=66 hope this helped :)


What is the value of the expression below plz help!

Answers

Step-by-step explanation:

Putting value of w

(8)2 - 4(8) - 2

64 - 32 - 2

32 - 2

30

Choose the set of equations that best represent the following information:
The sum of two numbers, a and b, is 12. The first number, a, is 8 more than the second number.
a+b= 12, a = b+8
a+ a = 12, b-8 = a
a+b = 8, a>b+12
ab = 12, a+8>b

Answers

Answer:

a+b= 12, a = b+8

Step-by-step explanation:

We know that a plus b equals 12 a+b=12

The only other thing we know is that a is 8 more than b so a=b+8

Find the greatest common factor of 6 and 15. a. 6 b. 3 c. 4 d. 2

Answers

Answer:3

Step-by-step explanation:

The greatest common factor is 3.

What is factor?

A factor is a number that divides another number, leaving no remainder.

Given that two numbers 6 and 15,

To find the greatest common factor, we will first find the factors, and then we will see which is the highest number by which both the given numbers are getting divided with no remainder,

The greatest common factor :-

6 = 2 × 3

15 = 3 × 5

GCF = 3

Hence, the greatest common factor is 3.

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A square garden has an area of 1604 square feet. Approximately how long
is each side of the garden?

Answers

Answer:

102 sq. ft.

Step-by-step explanation:

In order to find the side lengths, we divide 1604 by 2. Since it's a square, each side is the same length. Area is length times width so we only need two sides.

1604÷2=102

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