Solve the equation.
x2 + 13x + 30 = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There is no solution.

Answers

Answer 1

Given that,

An equation : [tex]x^2 + 13x + 30 = 0[/tex]

To find,

The value of x.

Solution,

We have, [tex]x^2 + 13x + 30 = 0[/tex]

We can solve it as follows :

[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]

So, the solution of the given equations are -3 and -10.


Related Questions

please please help, :)

Answers

Lcm of 12 18 and 24 is 72
Hcf of 36 and 54 is 18
So 72 divide by 18 is 4
Answer is 4

Answer:

4

Step-by-step explanation:

The LCM 

The LCM of 12,18,2412,18,24 is 2⋅2⋅2⋅3⋅3=722⋅2⋅2⋅3⋅3=72.

the HCF

The prime factorization of 36 is

2 x 2 x 3 x 3

The prime factorization of 54 is

2 x 3 x 3 x 3

2 x 3 x 3 = 18

72÷18=4

Veronica saved up her tutoring money to buy video games. She buys 2 games for $30.00 each and a game controller for $19.59. Veronica lives in San Jose, California, where sales tax is 9.25%. Which of these gives the correct amount of sales tax AND the total (with tax included)? If necessary, round the amount of tax to the nearest 100th.

Answers

Answer: See explanation

Step-by-step explanation:

Since Veronica buys 2 games for $30.00 each and a game controller for $19.59. The total cost to be paid will be:

= (2 × $30.00) + $19.59

= $60.00 + $19.59

= $79.59

Since Veronica lives in San Jose, California, where sales tax is 9.25%, the sales tax will be:

= 9.25% × $79.59

= 0.0925 × $79.59

= $7.36

Total amount paid = $79.59 + $7.36 = $86.95

37 1/2 ft is what % of 5 ft?

Answers

Answer:

750%

Step-by-step explanation:

First divide 37.5 by 5 to get 7.5. Then convert to percentage by multiplying 7.5 with 100. This leaves you with 750%.

Answer:

750%

Step-by-step explanation:

not sure lol

classify this triangle by its angle

Answers

Answer: acute

Step-by-step explanation:

Any angle less then 90 degrees is acute

Answer:Idek

Step-by-step explanation:

You are the manager at an amusement park. The park's maximum capacity is 4500 people. You have also worked out that there needs to be 2800 people in the park to make a profit after all the overhead costs and employee pay. If people are entering the park at a rate of 12 people a minute and there are 850 people in the park currently, between how many minutes should the door stay open to let guests in?

Answers

Answer:

if you need the compound equality it is 2800 ≤ 850 + 12m ≤ 4500

Step-by-step explanation:

m= minutes 2800 is the minimum 4500 is the maximum 850 is from the people already in the park and 12m came from the people coming in per minute so i multiplied the 12 by m

5 bags of dog food and 2 bags of cat food weigh 45 pounds. 6 pounds of dog weighs 45 pounds. All 6 of dog food weighs 45 pounds. All 6 bags of dog food weigh the same and app bags of cat food weigh the same. What is the ratio of dog food to cat food?

Answers

Answer:

k = y/x

k = 30/2

k = 15 <=== constant of proportionality

Step-by-step explanation:

Find the equation of the line passing through point (4,2) and perpendicular to AB

Answers

Step-by-step explanation:

The gradient of the perpendicular line is 3.

We have y = 3x + c.

When x = 4, y = 2.

=> (2) = 3(4) + c, c = -10.

Hence the line equation is y = 3x - 10.

A carpenter can build 1 doghouse in 1 day. How many doghouses can 12 carpenters build in 20 days?

Answers

Answer:

240

Step-by-step explanation:

12x20=240

1/5 of the time table of a class given to English while 1/8 is given to mathematics. What fraction is left for the other subjects

Answers

27/40 is the correct answer. Please give brainliest.

Write the rule for the linear function. Remember a function rule is written using f(x)

Answers

Answer:

The rule for the linear function will be:

[tex]f(x) = -2x+5[/tex]

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points from the table to determine the slope

(1, 3)(2, 1)

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

[tex]\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)[/tex]

[tex]m=\frac{1-3}{2-1}[/tex]

[tex]m=-2[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (1, 3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 3 = -2 (x-1)[/tex]

[tex]y-3 = -2x+2[/tex]

adding 3 to both sides

[tex]y-3+3 = -2x+2+3[/tex]

[tex]y = -2x+5[/tex]

or

[tex]f(x) = -2x+5[/tex]

Therefore, the rule for the linear function will be:

[tex]f(x) = -2x+5[/tex]

can you write an expression that will simplify to 6x - 4y?

Answers

2(3x-2y)

You can use the distributive property to simplify this equation.
6x-4y

Factor out 2

2(3x-2y)

Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?

Answers

Answer:

$6.0

Step-by-step explanation:

If she only worked 1 day and had $20, then the answer is

20 * 3% = 20 * .3 = $6.0

Answer:

Hi! I believe the answer is 6$

Step-by-step explanation:

If you are trying to get 30% of 20, you divide 20 by 30. You would then get .6666666 or 6. I double-checked my answer online!

Hope this helps, good luck! :)

Help with this please. I’d appreciate if you showed the steps and the answer. Thanks!

Answers

Answer:

Diagonal=11.3m

Area of square (A) =1/2*d^2

=1/2*(11.3)^2

=63.845m^2

We know,

Area of square A= l^2

63.845=l^2

L=

[tex] \sqrt{63.845 } [/tex]

L=7.99m

Now,

Perimeter of square =4l

=4*7.99

=31.96m

4k - 2y = 6
x = 2y- 3

Answers

Answer:

y= 3

x=3

Step-by-step explanation:

4(2y-3)-2y=6

8y-12-2y=6

6y-12=6 (add the 12 on both sides)

6y=18 (divide the 6 out)

y=3

solve for x.

x=2(3)-3

x=6-3

x=3

PLS HELP
20 points




do girls actually pöø'p?
lm'a' o

Answers

Answer:

what kind of question is this? i-

Step-by-step explanation:

yes girls p o o p

Answer:

Yes they do

Step-by-step explanation:

I just needed more points.

(Ignore this) I mean you can get the points if u want lol

Answers

Answer:

yuhhhh thanks brah hehehejejejne

can you help me please

Answers

Answer:

12.1244 cm

Step-by-step explanation:

14²-7²=147

Square root of 174

which equation is true

Answers

Answer:

A

Step-by-step explanation:

Well, this isn't too hard.

Since the left is the negative side (R) and the right is the positive side (S), a positive and a negative with the same number will equal zero if only one of them are negative.

You ALWAYS subtract when there's two different signs.

What is the definition of voyage

Answers

Answer:

The definition of voyage is      

Step-by-step explanation:

Voyage- A long journey involving  travel by see or in space

x square + 2 x - 5 equals to 0 ​

Answers

Answer:

x = -1 ± √6

Step-by-step explanation:

[tex]x^{2} +2x - 5 = 0[/tex]

Lets use the quadratic formula → [tex]x = \frac{-b + \sqrt{b^{2} - 4ac} }{2a} \:or \frac{-b - \sqrt{b^{2}- 4ac } }{2a}[/tex]

So ,

[tex]x = \frac{(-2) + \sqrt{(2)^{2} - (4\times1\times-5) } }{2\times1} \:or \frac{(-2) - \sqrt{(2)^{2} - (4\times1\times-5) }}{2\times1}[/tex]

[tex]=> x = \frac{-2 + \sqrt{24} }{2} \:or \frac{-2-\sqrt{24} }{2}[/tex]

[tex]=> x = \frac{-2 + 2\sqrt{6} }{2} \:or \frac{-2 - 2\sqrt{6} }{2}[/tex]

Lets take 2 common from numerator.

[tex]=> x = \frac{2(-1 + \sqrt{6}) }{2} \:or \frac{2(-1-\sqrt{6}) }{2}[/tex]

Cancelling 2 from numerator & denominator gives

[tex]x = (-1+\sqrt{6} ) \: or (-1 - \sqrt{6} )[/tex]

hi i need help in math, this is a big grade, :(

Answers

Answer:

oop q-q

Step-by-step explanation:

In the diagram, AGEF and AHEF are congruent. What is the value of x? A. 60 B. 41 C. 28 D. 30​

Answers

Answer: C) 28

Explanation:

The triangles are congruent, so the corresponding pieces are congruent. Specifically the angles on the right side are congruent, as shown by the tickmarks they have in common.

Set those two expressions equal to one another. Solve for x.

2(x+2) = 60

2x+4 = 60

2x = 60-4

2x = 56

x = 56/2

x = 28

The correct value of the variable x is,

⇒ x = 28

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In the diagram,

ΔGEF and ΔHEF are congruent.

Hence, We can formulate;

⇒ 2 (x + 2) = 60°

⇒ 2x + 4 = 60

⇒ 2x = 60 - 4

⇒ 2x = 56

⇒ x = 28

Thus, The correct value of the variable x is,

⇒ x = 28

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

What is the approximate volume of the cone? Use 3.14 for it.help please

Answers

Answer:

157.08, so it is the first opition

Step-by-step explanation

Volume of a cone is pie x the radius squared by 2 x the hieght divided by 3

pie x 5^2 x 6/3

pie x 25 x 2

157.08

Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500. If he makes no other deposits or withdrawals, how much money is in Javier’s account at the end of three months? Write an equation and solve.

Answers

Answer:

$282.5

Step-by-step explanation:

$7.50 * 3= $22.5

$22.5 is the total money that is charged from Javier's bank account.

Subtracting that from his $305, we get:

$305 - $22.5 = $282.5

Therefore, Javier has $282.5 in his bank account at the end of three months.

Hello 928747!

So Javier has $305 to begin with but his bank charges him $7.50 if he has less than $500 in his account.

305 < 500

So, since he has less than $500 he will lose $7.50

305 - 7.50 = 297.50

So after they take $7.50, he will have $297.50

but he had less than $500 for 3 months so they would take x 3 more than $7.50

7.50 x 3 = 22.50

305 - 22.50 = 282.50

After three months, Javier will have $282.50

#LearnWithBrainly

https://brainly.com/question/20505417

Is this a function?
{(2, 4), (2,5), (2,6), (2,7)}

Answers

Answer:

No

Step-by-step explanation:

For a relation to be a function it must have a unique x-value for every y-value. This means that in a function x-values cannot repeat. In this relation, the x-value repeats multiple times, so it is not a function. It is also a vertical line, and vertical lines can never be functions since the x-value is constant and therefore repeats.

A liquid changing to a gas Is an example of​

Answers

Evaporation I’m pretty sure
Chemical change if I am right

Find the solution mentally.
d. 24 = -12

Answers

Answer:

was this question written correctly

Step-by-step explanation:

this question can't be solved

HELP! BRAINLIEST!
A piece of Styrofoam has a charge of -0.004 C and is placed 3.0 m from a piece of salt with a charge of -0.003 C. How much electrostatic force produced?
And please show work of how you got the answer pls :)

Answers

Given that,

Charge q₁ = -0.004 C

Charge q₂ = -0.003 C

Distance between charges, d = 3 m

To find,

The electrostatic force between charges.

Solution,

The formula for the electrostatic force is given by :

[tex]F=\dfrac{kq_1q_2}{d^2}\\\\F=\dfrac{9\times 10^9\times 0.004 \times 0.003 }{(3)^2}\\\\=12000\ N[/tex]

So, 12000  N of electrostatic force is produced.

This question is based on the concept of electrostatic.Therefore, the electrostatic force produced is 12000 N.

Given:

Charge q₁ = -0.004 C

Charge q₂ = -0.003 C

Distance between charges, d = 3 m

We need to determined the how much electrostatic force produced.

According to the question,

By using the formula for the electrostatic force is given by :

[tex]F = k \dfrac{q_1 \; q_2}{d^2} \\\\F = \dfrac{9 \times 10^9 \times 0.004 \times 0.003 }{3^2} \\\\\bold{F= 12000 \; N} \\[/tex]

Therefore, the electrostatic force produced is 12000 N.

For more details, prefer this link:

https://brainly.com/question/9774180

HELP!!!! 10 points marked brainliest

Answers

Answer:

y = 65°

Step-by-step explanation:

equal sides correlate to equal angles

if sides opposite angles 'y' and 65° are the same then their angles are also

1. Write a congruence statement for the pair of triangles shown.

AUTS = ARST
AUTS = ASTR
AUTS = ARTS

Answers

Answer: ΔUTS ≅ ΔRST

Step-by-step explanation:

ΔTSU is congruent to ΔSTR, not ΔUTS

ΔUTS is congruent ΔRST not ΔRTS

ΔUTS ≅ ΔRST

Hope I helped!

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