Solve the quadratic equation.
x2 + 8x + 14 = 23
What is the smaller answer? x=
What is the larger answer? x=

Answers

Answer 1

Answer:

smaller answer x=-9

larger answer x=1

Step-by-step explanation:

[tex]x^{2}[/tex]+8x+14=23

[tex]x^{2}[/tex]+8x-9=0

D=64+36=100

[tex]x_{1} =\frac{-8+10}{2} =1[/tex]

[tex]x_{2} =\frac{-8-10}{2} =-9[/tex]

so, smaller answer x=-9

larger answer x=1

Answer 2

Answer:

x = - 9, x = 1

Step-by-step explanation:

Given

x² + 8x + 14 = 23 ( subtract 23 from both sides )

x² + 8x - 9 = 0 ← in standard form

(x + 9)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9 ← smaller answer

x - 1 = 0 ⇒ x = 1 ← larger answer


Related Questions

8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?

Answers

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

What is the slope of (12,-18) and (11,12)? Please I’m very confused.

Answers

Answer:

-30

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

Slope

[tex] = \frac{12 - ( - 18)}{11 - 12} [/tex]

[tex] = \frac{12 + 18}{ - 1} [/tex]

= -30

help please i been stuck for 2 hours........... the triangle above is a right-angled isosceles triangle. what would the measurement of x have to be, given that the hypotenuse is 8cm and legs a and b have the same length? please explain your answer

Answers

Answer:

4√2 or 5.66

Step-by-step explanation:

x² + x² = 8²

=> 2x² = 64

=> x² = 32

=> x = √32 = 4√2 or 5.66

In an online survey 55 out of 100 parents prefer to receive the weekly newsletter
electronically. How many PAPER newsletters would the school estimate are
needed if there are 700 parents?

Answers

I’m assuming 385 I did cross multiplication for this one

Tell me which lines to draw to which ( whoever answers correctly gets brainliset )

Answers

Answer:

13. 24ft = 8yd

14. 120in = 10 ft

15. 2 yd = 72 in

16. 5 yd = 180 in

17. 20yd = 60 ft

Step-by-step explanation:

24ft*12 in = 288 inches/36 inches(1yd) = 8yd

120in/12in = 10ft

2yd*36in = 72 in

5yd*36in = 180 in

20yd*36in = 720/12in = 60ft

1ft = 12inches

1 yd = 36 inches

Se quiere realizar la adición y multiplicación de los números enteros 43 y -32. En relación con los signos de las operaciones se puede decir que

Answers

Answer:

El caso de la adición es trivial.

La adición entre los números A y B es:

A + B

Entonces la adición entre los números 43 y -32 es:

43 + (-32)  

No hace falta realizar la suma para darnos cuenta de que el resultado tendra signo positivo, esto se da porque el módulo del número positivo es mayor que el del número negativo.

Así tenemos:

43 + (-32) = 43 - 32  = 11

Para el caso de la multiplicación podemos recordar:

(+)*(+) = (+)

(-)*(+) = (-)

(+)*(-) = (-)

(-)*(-) = (+)

Entonces el producto entre un número positivo y uno negativo (como es nuestro caso con 43 y -32) siempre tendrá un signo negativo.

Entonces podemos concluir que el signo de la multiplicación entre esos dos números va a ser negativo.

También podemos resolver la multiplicación de otra forma para ver esto:

43*(-32)

43*( (-1)*32)

43*(-1)*(32)

(-1)*(43*32)

Que es claramente un número negativo.

PLSS HELP GIVING 5 POINTS PLUS BRAINLIEST
Caleb throws a ball three times for his dog Leo. For each throw, Leo either
catches the ball or misses it. Identify the sample space (the correct list of
possible outcomes) for the results.
C = catch, M = miss
The notation CMC means Leo caught the first ball, missed the second one,
and caught the third one.
A. {CCCC, CCMM, MMMM}
B. {CCC, CCM, CMC, MCC, MMC, MCM, CMM, MMM}
C. {CCC, CMC, MMM}
O O
D. {CC, CM, MC, MM}

Answers

Answer:its B. I took the test

Step-by-step explanation:

Which proportion correctly shows the relationship between the part, whole, and percent of a percent problem

Answers

Answer:

C. [tex]\frac{Part}{Whole} =\frac{Percent}{100}[/tex]

Step-by-step explanation:

A good way to think about it is this. You know that 1/2 is 50%. It's common knowledge.

In this case 1 is the Part and 2 is the whole

[tex]\frac{Part}{Whole} = \frac{1}{2} = .50[/tex]

So to get 50% in decimal form we would have to divide it by 100 to move the decimal over two places

[tex]\frac{Percent}{100} = \frac{50}{100} = .50[/tex]

Therfore,

[tex]\frac{1}{2} = \frac{50}{100}[/tex]

or

[tex]\frac{Part}{Whole} =\frac{Percent}{100}[/tex]

A group of four friends went out for dinner. Their bill came to $50.95. They also need to pay 8% sales tax, and want to tip their server 18% on the cost of the meal (including tax). How much will EACH friend have to pay? Round your answer to the nearest cent.

Answers

Answer:

Enter cost and tip percent to get a tip amount and total dinner amount. Also split the total amount; divide among any number of people. ... Money, Pay, Taxes. > Tip ... Enter your meal or dinner cost along with the tip percentage. ... To calculate a gratuity or tip on any calculator it is a simple multiplication. ... All rights reserved

Step-by-step explanation:

After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much ... To figure out the tip, you need to find 20% of $52.60. 0.2 \times 52.6

The amount that each person should pay is  $22.06   .

What is percent?

Percentages can be stated as essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. We can take as example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

here, we have,

in the question ,

it is given that

total number of persons = 3 person + 1 = 4 persons

cost of the meal = $72.50

sales tax percent = 6.75%

tip percent = 15%

So , the amount of sales tax = 6.75% of cost = 0.0675 * 72.50 = $4.89

and , the amount of tip is = 15% of cost

= 0.15 * 72.50

= 10.87

So , the total amount payable is = cost + sales tax + tip

= 72.50 + 4.89 + 10.87

= 88.26

since the total number of persons is 4 ,

the amount per person is = 88.26/4 = 22.06

Therefore , The amount that each person should pay is  $22.06   .

Learn more about Percent here

brainly.com/question/19131273

#SPJ2

Please help!!
If you could explain that would be great!

Answers

Answer:

It would be 1/2

Step-by-step explanation:

y = (1/2)x has the format y = kx, where k is the const. of prop.  In this particular case that const. of prop. is (1/2).

The blue segment below is a diameter of OO. What is the length of the radius of the circle? O A. 2.95 units O B. 11.8 units O c. 5.9 units O D. 8.85 units​

Answers

Answer:

The length of the radius is 2.95 units

The  length of the radius of the circle is 2.95 units.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that  blue segment below is a diameter of O

Diameter is five point nine.

We need to find the radius of the given circle.

Radius is equal to diameter by two

Radius= Diameter/2

Now put value of diameter in the above formula

Diameter = 5.9

Radius =5.9/2

=2.95

Hence, the  length of the radius of the circle is 2.95 units.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ7

Find the area of the given shape

Answers

Answer:
The area of that triangle is 28 square inches.
Explanation:
You must choose a height that is perpendicular to the base.

In that case, the height 8 inches is perpendicular to the base 7 inches.

8 inches x 7 inches= 56 inches.

Since the formula for a triangle is base x height divided by 2, we divided 56 by 2

56 divided by 2 = 28
So the area is 28 square inches
MARK ME BRAINLIEST PLS

Which equation has the solution x = 2?

A 2x-3=19

B 3x+2=8

C 4x-4=-4

D 5x+1=10

Answers

Answer:

The answer is B.

Step-by-step explanation:

You can solve this problem by plugging in 2 for x in the given equations.

2(2) - 3 = 19 is false

3(2) + 2 = 8 is true

4(2) - 4 = -4 is false

5(2) + 1 = 10 is false

Can someone answer these? It like due in 15 mins

Answers

Answer:

1 = Supplementary

2 = Vertical

3 = Congruent

4 = Supplementary

5 = Complementary

6 = Adjacent

7 = never

8 = always

9 = sometimes

10 = 79°

11 = 28°

12 = 133°

Step-by-step explanation:

Help please I don’t get it

Answers

Answer:

I'm not sure if I'm correct but I think it's F=5

Step-by-step explanation:

6 times 5 = 30

PLEASES HELP the screenshots are at the bottom

Answers

Answer:

 D. The water will be about 50°C. (54.8 (rounded up) is 50.)  C. 23; the amount the temperature increases each minute.

Step-by-step explanation:

x = 6 (6 minutes)

5.3 x 6 + 23 = 54.8

5.3 x 6 = 31.8

31.8 + 23 = 54.48

2.  C.  23: the amount of the temperature increased each minute.

Let me know if this helps!

Two numbers, x and y, have a sum of 8 and a difference of –14. A. Write a system of equations that can be used to determine the values of x and y. B. Solve the system of equations. Show your work.

Answers

Answer:

The system is:

x + y = 8

x - y = -14

And the solution is:

x = -3

y = 11

Step-by-step explanation:

We have two numbers x and y, such that:

x + y = 8   (the sum is equal to 8)

x - y = -14  (the difference is equal to -14)

This is the system of equations we need to solve.

To solve the system, we first need to isolate one of the variables in one of the equations, I will isolate x in the first equation:

x = 8 - y

Now we can replace this in the other equation to get:

(8 - y) - y = -14

8 - 2*y = -14

8 + 14 = 2*y

22 = 2*y

22/2 = y

11 = y

Now we can replace this in the equation "x = 8 - y"

To get:

x = 8 - 11  = -3

Then the solution to the system is:

x = -3 and y = 11

help:(, i’m not sure how to do this

Answers

Answer:

i think you have to multiply the sides..

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) PQ² + PR² = QR²

PQ² + 14² = 50²

PQ² + 196 = 2500

           PQ² = 2500 - 196 = 2304

            PQ = √2304

PQ = 48

Sin Q = [tex]\frac{opposite side}{hypotenuse}=\frac{14}{50}\\[/tex]

[tex]Cos Q = \frac{adjacent side}{hypotenuse}=\frac{48}{50}\\\\Tan Q = \frac{oppsite}{adjacent}=\frac{14}{48}\\\\\\\Sin R = \frac{48}{50}\\\\Cos R = \frac{14}{50}\\\\Tan R = \frac{48}{14}\\\\[/tex]

2) tan 48 = [tex]\frac{x}{17}[/tex]

x = 17 * tan 48  = 17 * 1.1106 = 18.8802

x = 18.8802

Write an expression that is equivalont to 4(5+2)-3h,​

Answers

Answer:

28 - 3h

Step-by-step explanation:

We must do the work seen inside parentheses first.

Thus, we havve 4(7) - 3h, which simplifies to

28 - 3h

What is tan(k)? 45, 24, 52

Answers

Answer:

Try A

Step-by-step explanation:

find slope represented in the table

Answers

Answer:-4

Step-by-step explanation:

The answer is -4 for the problem

Find the circumference of the circle. Use 3.14 for π. Round to the nearest hundredth, if necessary.

Answers

Answer:

There is no circle

Step-by-step explanation:

If you post the circle, I will help

Make sure to attach a file of the photo (Please no links)

If fx) and f^-1(x) and inverse functions of each other and f(x) =2x+5, what is f^-1(8)?

O -1
O 3/2
O 41/8
O 23

Answers

i’m guessing he answer is a

Answer:

b. 3/2

Step-by-step explanation:

Please answer correctly! I will mark you Brainliest!

Answers

Answer:

27

Step-by-step explanation:

V=a^3=3^3=27

Last week, she bought two pounds and paid $7.96, and this week she bought only one-half pound and paid $1.99. What is the unit rate for the pistachio nuts? How do you know?

Answers

Answer:

$3.98

the unit rate can be determined by dividing the total costs of the pistachio by the total pounds bought

Step-by-step explanation:

unit rate = total cost / total pounds bought

7.96 / 2 = $3.98

1.99 / 0.5 = $3.98

If the number of bacteria in a colony doubles every 70 hours and there is currently a population of 5 bacteria, what will the population be 140 hours from now?

Answers

Answer:

140

Step-by-step explanation:

hope i helped!

can someone pls help me

Answers

Answer:

x=−8 and y=−4

Step-by-step explanation:

8x−17y=4;−8x+15y=4

add eqn1 and 2

to eliminate x

you will get y=-4

put it zin eqn 1

x=-8

A triangle has two angles that measure 45 degrees and 35 degrees. What is the
measurement of the third angle?

Answers

Well, we know that a triangle's angles add up to 180°, so 45 + 35 + x = 180, and x = 100.

The third angle is 100.

Answer:

The measurement of the third angle is 100 degrees.

Step-by-step explanation:

Just add 45 + 35 which equals to 80. Every triangle's angles equal to 180 degrees so subtract 80 from 180. That equals 100 degrees.

Equation: 45+35=80

180-80=100

Hope this helps! :)

To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x?
18x+5y=6
4x+3y=6
A)
subtract 2 times the second equation from 9 times the first equation
B)
subtract 9 times the second equation from 2 times the first equation
C)
subtract 3 times the second equation from 5 times the first equation
D)
subtract 5 times the second equation from 3 times the first equation

Answers

C might be the right answer

1. If you're trying to gain access to a credit card before you turn 21, which of
the suggestions rely on the support of your parent or guardian?

Answers

I think you should rely on your parent
Other Questions
Which of the following gives the most accurate description of the levels of biological organization?O Organisms are composed of organs that are composed of subunits called organelles.O Organisms are composed of body systems that are composed of subunits called cells.Organs are composed of cells that are composed of subunits called tissues.Organs are composed of tissues that are composed of subunits called cells. 10 facts about the 19th Century Reforms Please help with biology!! Which statement is true for ALL quadratic functions?All quadratic functions have a maximum point.All quadratic functions have a domain of all real numbers.All quadratic functions have a range of all real numbers.All quadratic functions have a minimum point. What transportation improvement connected lakes and rivers to aid in the transportation of goods? RailroadsSteamboatsHighways and turnpikesCanals The new software organization requires a new point of sale and stock control system for their many stores throughout Pakistan to replace their aging mini-based systems. A sales assistant will be able to process an order by entering product numbers and required quantities into the system. The system will display a description, price, and available stock. In-stock products will normally be collected immediately by the customer from the store but may be selected for delivery to the customer's home address for which there will be a charge. If stock is not available, the sales assistant will be able to create a backorder for the product from a regional warehouse. The products will then either be delivered directly from the regional warehouse to the customer's home address, or the store for collection by the customer. The system will allow products to be paid for by cash or credit card. Credit card transactions will be validated via an online card transaction system. The system will produce a receipt. Order details for in-stock products will be printed in the warehouse including the bin reference, quantity, product number, and description. These will be collected by the sales assistant and given to the customer. The sales assistant will be able to make refunds, provided a valid receipt is produced. The sales assistant will also be able to check stock and pricing without creating an order and progress orders that have been created for delivery.You need to answer the following questions. 1. Which elicitation method or methods appropriate to discover the requirement for a given scenario system to work efficiently, where multiple sales and stock points manage. Justify your answer with examples. 2. Identify all stakeholders for a given scenario according to their roles and responsibilities with suitable justifications. 3. Specify functional users and systems requirements with proper justifications. Is the Mona Lisa an alien???She has no eyebrows and shes greenish yellow Students in a representative sample of 69 second-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed the Tuckman Procrastination Scale, which measures procrastination tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 69 second-year students in the study at the university, the sample mean procrastination score was 41.00 and the sample standard deviation was 6.85.Required:a. Construct a 95% confidence interval estimate of , the population mean procrastination scale for second-year students at this college.b. How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.447, 38.633)? In April Jayveis sent 675 test messages in may jayveis sent 621 text messages by what percent did the number of text messages decrease from april to may NO LINKS ACTUAL ANSWERS What is the area of the figure below? 40 mm 2 88 mm 2 80 mm 2 96 mm 2 What is the value of s The cost of equipment purchased by Tamarisk, Inc., on June 1, 2020, is $142,800. It is estimated that the machine will have a $8,400 salvage value at the end of its service life. Its service life is estimated at 7 years, its total working hours are estimated at 67,200, and its total production is estimated at 672,000 units. During 2020, the machine was operated 7,020 hours and produced 64,350 units. During 2021, the machine was operated 6,435 hours and produced 56,160 units. Compute depreciation expense on the machine for the year ending December 31, 2020, and the year ending December 31, 2021, using the following methods. (Round depreciation per unit to 2 decimal places, e.g. 15.25 and final answers to 0 decimal places, e.g. 45,892.) 2020 2021 0 (a) Straight-line - 0 (b) Units-of-output - 0 (c) Working hours - 0 (d) Sum-of-the-years-digits - 0 (e) Double-declining-balance (twice the straight-line rate) $ Question 112 ptsWrite the correct conjugation of the verbs ir/ser en el pretrito. Then indicate if the verb is iror ser based on the meaning of the sentence.Anteayer Uds.a la farmacia para el champ. From the verb Ashley ate exactly one-third of the peanuts in a dish. Then, Emily ate exactly one-fourth of the remaining peanuts in the dish. Lastly, Isabella ate exactly one-fifth of the remaining peanuts in the dish. What is the least number of peanuts that could be in the dish when Isabella finishes? [Whole peanuts may not be split into smaller parts.] Describe 3 ways that mental health can be connected to substance use problems PLEASE HELP ITS DUE SOON AND I DONT UNDERSTAND How many grams of KClO3 must be decomposed to produce 3.45 L of oxygen at STP with a 75.3% yield? 2 KClO3(s) 2 KCl(s) + 3 O2(g) PLEASE HELP ASAP! PLEASE DO NOT GIVE ME A VIRUSES!Carbon dioxide and oxygen are linked together in the carbon and oxygen cycle. There are two cellular processes involved in this cycle. What are they called, and what does each process make?Mark two answers below.Carbon dioxide is generated by cellular respiration and released into the atmosphere.Cellular respiration makes oxygen that plants and animals can release into the atmosphere.Carbon dioxide is a product of photosynthesis that plants release into the atmosphere.Photosynthesis makes oxygen that plants can release into the atmosphere. Click this link to view O*NETs Work Styles section for Accountants. Note that common work styles are listed toward the top and less common work styles are listed toward the bottom. According to O*NET, what are some common work styles needed by Accountants? Select four optionstrustdependabilitycreativityattention to detailintegrityanalytical thinking On a package of rice, the directions say that the ratio of cups of water to cups of uncooked rice should be 1 : 1 2 How many cups of water should be used to cook 1 cup of 2 uncooked rice? On your running list of new vocabulary words, you should include all of thefollowing exceptO A. the wordO B. an antonymO C. the definitionO D. the part of speech