4(x + 7)^2 – 49 = -13 solve the following quadratic equation for all values of x in the simplest form

Answers

Answer 1

Answer:

4(x²+14x+49)-49+13=0

4x²+56x+196-49+13=0

4x²+56x+160=0

D=3136-2560=576

x1=-56+24/8=-4

x2=-56-24/16=-10


Related Questions

What is the height of the token?

A.
B.
C.
D.

Answers

Answer:

c. 5cm

Step-by-step explanation:

25=½(3+7)*h

25*2=10*h

50/10=h

5cm =h

Each day Theo versus dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week

Answers

Answer: 280 minutes

Step-by-step explanation:

Given

Expression is  [tex]7\times (15+25)[/tex]

Apply distributive law i.e.

[tex]a(b+c)=a\cdot b+a\cdot c[/tex]

[tex]\Rightarrow 7(15+25)=7\cdot 15+7\cdot 25\\\Rightarrow 7(15+25)=105+175=280[/tex]

Thus, theo dog took 280 minutes each week

help please will give brainliest


Select the correct answer.
What are the solutions to this quadratic equation?
5x2 76 - 18 = 0
A.
T =
OB.
13
–7 + V409
10
7 + V409
5
-7 + 7409
5
7 I 409
10
O C.
OD.

Answers

The answer is D
Explanation- Did a quiz on it

In ΔMNO, the measure of ∠O=90°, OM = 1.7 feet, and NO = 6.7 feet. Find the measure of ∠N to the nearest degree.

Answers

Answer:

14

Step-by-step explanation:

Tan = opposite / adjacent = 1.7 / 6.7

tan N= 1.7 / 6.7

N = 14.237 = 14

Answer:

14

Step-by-step explanation:

the guy above knos why

solve the quadratic equation
8x^2+16x+8=0

Answers

Answer:

8x²+16x+8=0

x²+2x+1=0

D=4-4=0

x0=-2/2=-1

Answer:

        x = -1

Step-by-step explanation:

[tex]8x^2+16x+8=0[/tex]                  {divide both sides by 8}

[tex]x^2+2x+1=0\\\\a=1\,,\quad b=2\,,\quad c=1\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot1}}{2\cdot1}=\dfrac{-2\pm\sqrt{4-4}}2=\dfrac{-2\pm0}2=-1[/tex]

a new TV cost R6900 cash it is available on hire purchase with a deposit of 15% followed by 12 instalments of R558,50 and find the total hire purchase price and extra amount that you will pay (on top of the cash price) using hire purchase.

no links!​

Answers

Answer because you know

Explanation
A new tv costs R69000

there is given the numbers equals to 8 and DC equals to 3.2 and BE quals to 9 and find BC ​

Answers

Given:

Consider [tex]AB\parallel DE[/tex] in triangle ABC and [tex]AD=8,DC=3.2,BE=9[/tex].

To find:

The length of BC.

Solution:

Basic proportionality theorem (BPT): If a line intersect the two sides of triangle and parallel to the third side, then that line intersects the other two sides proportionally.

Using Basic proportionality theorem, we get

[tex]\dfrac{AD}{DC}=\dfrac{BE}{EC}[/tex]

[tex]\dfrac{8}{3.2}=\dfrac{9}{EC}[/tex]

On cross multiplication, we get

[tex]8\times EC=9\times 3.2[/tex]

[tex]EC=\dfrac{28.8}{8}[/tex]

[tex]EC=3.6[/tex]

Now,

[tex]BC=BE+EC[/tex]

[tex]BC=9+3.6[/tex]

[tex]BC=12.6[/tex]

Therefore, the length of side BC is 12.6 units.

We’re doing similarity and I’m really confused

Answers

Answer:

Hello its ok Love!

I believe x = 2 hope this helps good luck!

Answer: 2 ft

Step-by-step explanation:

18 / 4.5 = 4

8 / 4 = 2

What is the vertex of the parabola f(x) = x^2 – 2x – 8 that has an axis of symmetry at 2 = 12
A (2,-8)
B (1,-9)
C (3,-5)
D (4,0)

Answers

i believe the answer is either a or c, good luck!

Answer: i am pretty sure it is c

OR A

NOT SURE THOUGH trust ur gut

Step-by-step explanation:

45 POINTS!!
1. A quadratic function is represented by the graph.

(a) What is the equation of the axis of symmetry of the function?
(b) What are the coordinates of the vertex of the function?
(c) What are the coordinates of the x¬-intercepts of the function?
(d) What are the coordinates of the y-intercept of the function?

Also put a answer that makes sense, not just to get the points.

Answers

Answer:

c

Step-by-step explanation:

What is the circumference of a circle with a radius of 6 inches?

Answers

Answer:

37.7in

Step-by-step explanation:

C=2πr=2·π·6≈37.69911in

Answer:

37.6 (simplified)

Step-by-step explanation:

The formula for circumference is 2[tex]\pi[/tex]*r. Simply replace r with 6 and multiply from there. Normally you would simplify pi down to 3.14 as well.

HELP PLEASE 20 POINTS

Answers

Angle F is 30°... One way to solve this is by knowing that all angles add up to 180°. So, you could add 70+80=150. Then, subtract 150 from 180 and you get 30°

Max is going to eat either a slice of pie, an apple, or drink a cup of cider for a snack. He is also going to buy pumpkin or a hat. How many different ways can max eat one snack or buy one item

Answers

Answer:

6 different ways

Step-by-step explanation:

pie, pumpkin

pie, hat

apple, pumpkin

apple, hat

cider, pumpkin

cider, hat

6 different ways! ....

Angela rented a car for $29.99 a day plus a one-time insurance cost of $5.00. Her bill was $124.96. For how many days did she rent the car? Write an equation and then solve

Answers

Answer:

94 days

Step-by-step explanation:

That's a cheap rent-a-car place :)

Btw I took the test.

Luke has a board 5
6
of a yard long. He needs to cut the board into 5 equal sections.

Use the expression
to find the length of each section.
Each section is
yard long.

Answers

Answer:

1/6 of a yard

Step-by-step explanation:

Length of the board = 5/6 yard

He needs to cut the board into 5 equal sections.

Length of each section = length of the board ÷ number of sections

= 5/6 ÷ 5

= 5/6 × 1/5

= (5*1)/(6*5)

= 5/30

= 1/6

Length of each section = 1/6 of a yard

Which equation represents a line that has a slope of – 2/3 and a y-intercept of 4?
A)
2x + 3y = 12
B)
2x - 3y = 12
C)
3x - 2y = 12
D)
3x + 2y = 12

Answers

Answer:

A

Step-by-step explanation:

Slope-intercept form: y=mx+b

2x+3y = 12

3y = 12-2x

y = (12-2x)/3

y = 4-2/3x

Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.

Someone help me out please

Answers

Answer:

Coordinates are

(1,-5)

(-6,1)

A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 81 degrees. How high does the ladder reach on the building? the answer is in ft

Answers

Answer:

25.7 feets

Step-by-step explanation:

From the diagram attached, we could use trigonometry to obtain the height,h :

Using the trigonometric relation :

Sin θ = opposite / hypotenus

Opposite = h

Hypotenus = 26 feets

Sin 81° = h / 26

Height, h = 26 * sin 81°

h = 26 * 0.9876883

h = 25.679

Height, h = 25.7 feets

The Ridgeport school district collected data about class
size in the district. The table shows the class sizes for five
randomly selected kindergarten and seventh-grade
classes.
Number of students in randomly
selected class
Mean Mean absolute
deviation
19
1.2
Kindergarten 17, 18, 19, 21, 20
Seventh 25, 30. 27, 29, 34
grade
29
2.4
Based on these data, which statement is true?

Answers

I think its option B) The average size of a seventh-grade class is larger and varies more than that of a Kindergarten-class.

it c. i think

Step-by-step explanation:

Find the sale price if a customer buys a $40 shirt
that is 20% off.

Answers

Answer:

$8

Step-by-step explanation:

To find 10% of a number, move the decimal point over by one. Since the number is a whole the decimal point looks like this    

$40.00

Move it once to get 10% which is 4. Then multiply it by 2 to get 20%.

If the shirt was bought at $40 when it was 20% off then the original should be $50

1. The range of guest on New Year's Eve was 15>


2. About 50% of Thanksgiving dinners had 17 or more people.


3. Everyone had at least one guest over for dinner at Thanksgiving.


4. The IQR of Thanksgiving dinner was 20.


5. The median number of people at New Years' Eve dinner was 15.


6. Three-fourths of New Years' Eve dinners had five or more people.

Answers

Answer:

1.False

2. True

3.) True

4. False

5.) False

6.) True

Step-by-step explanation:

1.)

Range = maximum - minimum

New year's eve :

Maximum = 22 ; minimum = 3

Range = 22 - 3 = 19

2.)

Median for Thanksgiving = 17

50% up to 17 ;hence the remaining 50% is also 17 and above

4.)

IQR for Thanksgiving

Q3 - Q1

23 - 12 = 11

5.)

The median number of people at new year's eve for dinner was 7 (line in between the box)

6.)

3/4th of new year eve's dinner = Q3 = 15

1/4 = Q1 ; have up to 5 people

Therefore ; the remaining (1 - 1/4) = 3/4 have 5 and above

Answer:

1.False

2. True

3.) True

4. False

5.) False

6.) True

Step-by-step explanation:

Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. What percent of the total cupcakes did Gabriel share with his classmates?

A 12%12%

B 22%22%

C 75%75%

D 88%

Answers

Answer:

Answer D 88%

Step-by-step explanation:

To figure this question out we first need to find 1% of 25, which is .25 and then we need to find what percentage 3 is of 25, and so 12 x .25 = 3 which means 3 is 12% of 25, now just subtract it from 100% and we get 88%

(っ◔◡◔)っ ♥ Hope It Helps ♥

It d 88 I hope it help you

Identify the second quartile in the box-and-whiskers plot

The median of the data set is

(attached)
.

Answers

Answer:

The median is 58

Step-by-step explanation:

Answer:

The answer is 58

lorena's backpack has a mass of 17,000 grams. what is the mass of lorena's backpack in kilograms

Answers

17 kilograms because 1000 gm = 1 kilogram

Answer:

17

Step-by-step explanation:

17

A researcher is trying to identify whether household substances are basic. Which approach would BEST help the researcher investigate
whether substances are basic?
A. Observe each substance and record its color.
o B. Measure the temperature of each substance.
C. Test each substance with red litmus paper.
OD. Mix each substance with a weak base and record the results.

Answers

Answer:

C. Test each substance with red litmus paper.

Step-by-step explanation:

C is the correct answer because when you apply a base with a red litmus paper the outcome color should result in blue.

The best approach best investigate whether substances are basic is to test each substance with red litmus paper.

What is basic compound?

In general, bases are substances that can neutralise a small amount of acid. Ammonia and sodium carbonate are both bases even though neither of them includes OH groups.

When in contact with basic chemicals, red litmus paper turns blue instead of red. Thus we should use red litmus paper to test the basicity of home items.

Acids are the only substances that bases react with, hence using weak bases will not produce the intended results since weak bases only partially dissociate.Color does not indicate basicity or acidity.The acidity of a substance can be determined by placing red litmus paper in contact with acid, which causes the paper to turn blue.

Hence, the test each substance with red litmus paper.

Learn more about Basic Compound here:

https://brainly.com/question/23047866

#SPJ2

What are the next three terms in the sequence 3, 6, 9, 12, ...?

Answers

Answer:

15, 18, 21

Step-by-step explanation:

I uploaded the answer to a file hosting. Here’s the link: (don’t fall for these)

Which scenario would result in 12 possible outcomes?
You roll a number cube twice.
You flip a coin twice.
You roll a number cube, and then you flip a coin. You roll a number cube once.​

Answers

Answer:

You roll a number cube, and then you flip a coin.

Step-by-step explanation:

i don't even know how math is confusing. (this is the right answer on the quiz)

I really need to know the answer of this question

Answers

Answer:

Amir 20 Rita 45

Step-by-step explanation:

20/4=5

5*9=45

so this satisfices the ration 4:9

Answer:

Amir : 20 sweets and Rita : 45 sweets

Step-by-step explanation:

Rita has 25 more in all answers. to get the answer, this is to see which one : 4:9 ; 20:45.

we multiply 4 and 45 and 9 and 20. if we multiply them, both answers are 180. this means it is equal and that is the answer.

QuestionDuring their team meeting, both managers shared their findings. Complete the statement describing their combined results. Select the correct answer from each drop-down menu.The initial number of video views was the initial number of site visits, and the number of video views grew by the number of site visits.The difference between the total number of site visits and the video views after 5 weeks is .

Answers

Answer:

The initial number of video views was more than the initial number of site visits, and the number of video views grew by  a smaller factor than  the number of site visits.  The difference between the total number of site visits and the video views after 5 weeks is  20,825

Step-by-step explanation:

the initial video view was 5120 and the initial number of site visits were 4800, so the initial video view was more than.

The video views grew by 5/4 and the number of site visits grew by 3/2, and since 3/2 is > 5/4, the video views grew by a smaller factor than the number of site visits.

the result for the video views after 5 weeks is 15,625 and the site visits after 5 weeks is 36450, so 36450-15,625=20,825

Answer:

Step-by-step explanation:

Here's proof of the answer correcto

happy earth day 2 years hehe

Determine the horizontal and vertical axis intercepts: r = 36 + 70sin θ.
Please show your work need help!

Answers

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

Refer to the equations for a limaçon:

y=a+bcos∅ (horizontal line of symmetry) and y=a+bsin∅ (vertical line of symmetry) where a/b determines the type of limaçon.

This is an inner loop limaçon because 36/70<1, so its horizontal axis intercepts are 36 and -36 (marked in red) and its vertical axis intercepts are 0, 36+70=106 and 70-36=34 (marked in green)

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