Solve the following quadratic equation for all values of xx in simplest form.
5(2x+1)^2+6=26 cant figure this out!!

Answers

Answer 1

Answer:

x=1/2 and x=-3/2

Step-by-step explanation:

5(2x+1)^2+6=26

5(2x+1)^2=20

(2x+1)^2=4

2x+1=±2

Now make two equations and solve both for x:

2x+1=2

2x=1

x1=1/2

2x+1=-2

2x=-3

x2=-3/2


Related Questions

7x + 6y = -1 ; -x + 2y = 3 with elimination

Answers

Answer:

x= -1, y=1

Step-by-step explanation:

First label the 2 equations.

7x +6y= -1 -----(1)

-x +2y= 3 -----(2)

Then choose which term you would like to eliminate. To eliminate the y term, multiply equation (2) by 3 such that the coefficient of y is 6.

(2) ×3:

-3x +6y= 9 -----(3)

Since the coefficient of y is positive 6 in both equations, subtract one equation from the other.

(3) -(1):

-3x +6y -(7x +6y)= 9 -(-1)

Expand:

-3x +6y -7x -6y= 9 +1

-10x= 10

x= 10 ÷(-10)

x= -1

Substitute x= -1 into (2):

-(-1) +2y= 3

1 +2y= 3

2y= 3 -1

2y= 2

y= 2 ÷2

y= 1

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

2nd method: eliminating the x term

(2) ×7:

-7x +14y= 21 -----(3)

Since the coefficient of y in equation (1) is a positive 7, while that in equation (3) is a negative 7, add the 2 equations together to eliminate the x term.

(1) +(3):

7x +6y -7x +14y= -1 +21

20y= 20

y= 20 ÷20

y= 1

Substitute y= 1 into (2):

-x +2(1)= 3

-x +2= 3

-x= 3 -2

-x= 1

x= -1

what are the difference in finding the cirumference circle and finding the area of circle

Answers

Answer:

the circumference is the total distance round a circle but the are is a measure of a space or region inside the circle but circumference is around it

Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 4x^2 – 484
lesser x =
greater x =

Answers

Answer:

11 and -11

Step-by-step explanation:

What is the circumference of the circle when there's a radius of 5

Answers

its approximately 31.42 depending on how many digits of pi you use

Carlos has a nail in his car tire. The tire is not flat, but he's on his way to get it fixed. He's driving at a constant speed, and the diameter of the tire is 3 feet.

Which rule could model the height of the nail from the ground?

a) f(x)=1.5cos(16πx)+1.5
b) f(x)=1.5cos(16πx)−1.5
c) f(x)=3cos(16πx)+3
d) f(x)=16πcos(1.5x)+3

Answers

Answer:

f(x)=1.5cos(16πx)+1.5

(Question on a Quiz was correct)

The trigonometric equation is f ( x ) = 1.5cos ( 16πx ) + 1.5 , when x = 3 feet , the height of the nail from the ground is 3 feet

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

f ( x ) = 1.5cos ( 16πx ) + 1.5

Let the diameter of the tire be x

Let the height of the nail from ground be f ( x )

On simplifying , we get

when x = 3 feet

f ( 3 ) = 1.5 cos ( 16π ( 3 ) ) + 1.5

f ( 3 ) = 1.5 cos ( 48π ) + 1.5

From the trigonometric relation cos ( nπ ) = 1

f ( 3 ) = 1.5 + 1.5 = 3 feet

Hence , the height of the nail from the ground is given by the equation with f ( x ) = 1.5cos ( 16πx ) + 1.5

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ3

The perimeter of a right triangle is 40 feet. and the area is 120 square feet. If the lengths of the sides of the triangle are each multiplied by 12, what is the perimeter of the new right triangle?

A) 8640
B) 5760
C) 720
D) 480

Answers

Answer:

D

Step-by-step explanation:

did it on Time4learning

:Renita's Bike Ride
Renita is riding her bike to school. It takes her 5 minutes to
travel half of a mile.

Answers

Answer:

Okay well if you need to find mph she is going 10 mph

Step-by-step explanation:

1/2+1/2= 1 mile in 10 min, multiply both sides by 6 and you get 1 mile = 60min

please please helppp!!

Answers

Answer:

Step-by-step explanation:

Here we want the side length of x, which is adjacent to the angle 31 degrees. Cosine is the ratio we want because it is adj/hypotenuse.

Here's our basic equation:

cos31=x/17

or

17 * cos31=x

Put this into the calculator and you get around 15.6

What is the fraction equivalent of 40% in simplest form? 2/5 4/10 40/100 4/100 pan​

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

good luck you got this

What does e-waste or electronic waste not include?

Answers

Answer:

microwave ovens

Step-by-step explanation:

Hopes this helps. Mark as brainlest plz!

What’s the volume of the following shape?

Answers

Answer:

Step-by-step explanation:

It should be 360 Pls mark brainliest

Answer:

180 units^3

Step-by-step explanation:

Formula for the volume of a right triangular prism: V=1/3Ah (A=Area of base triangle, h=height)

BASE TRIANGLE

A= 1/2bh (base•height)

A= 1/2•10•4

A= 40 units^2

VOLUME OF PRISM

V=1/3Ah

V= 1/3•40•18

V= 180 units cubed

Hope this helps! Let me know if I'm off by anything.

8 people from a group of 12

Answers

If you're meaning about subtracting:

12-8=4

If you want in fraction: 8/12

mark me brainliestt :))

8 is 2/3s of 12
2/3s is about 67%
67% of 12

(URGENT !!!) Which is a reasonable equation for the line of best fit for the data shown in the scatter plot? Using the equation, predict y if the value of x is 20.


F. y=x

G. y= x+2

H. y=2

J. y= 1/2x +2


(This is scatterplots)

Answers

Answer:

1. Y = 1/2x + 2

2. X = 20 - Y = 12

Step-by-step explanation:

1. The other formulas clearly don't fit.

2. Simply fill in 20 for X and solve the formula.

pls helpppp lol :/ I’d really appreciate it !!

Answers

Step-by-step explanation:

60+5x+5=180 (being angle of straight line)

5x+65=180

5x=180-65

5x=115

x=23

aeo
What is the surface area of the cylinder with height 3 km and radius 6 km? Round
your answer to the nearest thousandth.

Answers

Answer:

339.290

Step-by-step explanation:

by using the formula for surface area of cylinder that is 2πrh+2πr^2

hii frnds i m new in this app​

Answers

Answer:

Hello

Step-by-step explanation:

Nice to meet you. Welcome to Brainly where you can get points by answering different questions. You can also ask your own questions and it will be answered by thousands of Brainly users around the world. Enjoy!

Answer:

Welcome to Brainly. I hope you enjoy your stay.

Amelia randomly selects two cards, with replacement, from a normal deck of cards. Calculate the probability that: the first card is a 9 of Clubs and the second card is a 10 of Clubs.

Answers

Answer:

1 / 2704

Step-by-step explanation:

Number of cards in a deck = 52

9 of clubs in a deck = 1

10 of clubs in a deck = 1

Probability = required outcome / Total possible outcomes

P(9 of club) = 1 / 52

With replacement ;

Then ;

P(10 of club) = 1 / 52

Hence,

P(9 of club, then 10 of club) = 1/52 * 1/52 = 1 / 2704

Please Help ASAP
Jorge has a swimming pool that is rectangular in shape. The length and width of the pool are 24 feet and 14 feet. He also knows that the pool has a consistent depth of 5 feet. He needs to add 4 drops of chlorine for every 50 cubic feet in his pool. How many drops of chlorine should Jorge use to chlorinate his pool properly?

Answers

Answer:

140 drops

Step-by-step explanation:

Length of the pool = 24 feet

Width of the pool = 14 feet

Depth of the pool = 5 feet

Volume of the pool = length × width × depth

= 24 ft * 14 ft * 5 ft

= 1,750 ft³

Volume of the pool = 1,750 ft³

He needs to add 4 drops of chlorine for every 50 cubic feet in his pool.

Number of 50 cubic feet in the volume of the pool = Volume of the pool / 50 ft³

= 1,750 ft³ / 50 ft³

= 35

Number of 50 cubic feet in the volume of the pool = 35

How many drops of chlorine should Jorge use to chlorinate his pool properly?

Number of drops of chlorine Jorge should use = number of drops per 50 ft³ × Number of 50 cubic feet in the volume of the pool

= 4 × 35

= 140 drops

Number of drops of chlorine Jorge should use = 140 drops

Use the digits 2,3,and 4 one time each to correctly complete the following problem. __00 * __ __ = 6,800

Answers

Answer:

200*34=6800

Step-by-step explanation:

Write the possible combinations like

200*34

200*43

300*24

300*42

400*32

400*23

then you chose what will give you 6800 as the answer

What is the value of x. Please help out. This is due today!

Answers

Answer:

70°

Step-by-step explanation:

In the context it says that Franklin St. is parallel to Washington St.

The 110° formed by Franklin St. and Mulberry St. is a supplementary angle to Angle x.

Supplementary angles are angles that add up to each other to make 180°

So lets subtract:

180 - 110 = 70°

Angle x = 70°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K


If y varies inversely as the square ofx, and y = 1/8 when x = 1, find y when x = 5

Answers

Answer:

25/8

Step-by-step explanation:

The question can be interpreted as

Y= k/x^2.......eqn(1)

Where k= constant if proportionality

y = 1/8 when x = 1,

Substitute, we have

1/8= k/(1)^2

1/8= 1/k

Cross multiply

K= 1/8

find y when x = 5

From eqn(1)

Y= k/x^2

Y= (1/8)/(5)^2

Y=1/8 ×25

Y= 25/8

-3(8n+10)
distributive property

Answers

-24n - 30, i suggest using math.way before asking a math question aha
1.25 in decimal form
5/4 in factional form

neeeeeed helppp!!
[tex]\sqrt{10^1^0}[/tex]
Thanks!

Answers

Answer:

100000 is your answer

Step-by-step explanation:

Hope it helps...

Thanks for the points

Answer:

100000

Step-by-step explanation:

[tex]\sqrt{10^{10} }[/tex]

[tex]10^5[/tex]

[tex]100000[/tex]

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

Thanks, have a great day!!

PLZ HELP I WILL GIVE BRAINIEST AND 15 POINTS!!! answer these 2 questions
Q1. A rectangular prism is a _____ figure.
1. 3-dimensional figure
2. 1-dimensional figure
3. 2-dimensional figure

Q2. If a figure has eight vertices and 12 edges, how many faces does it have?

Answers

Answer:

DELETE

Step-by-step explanation:

3 • 12 ÷ 2 • 3 ÷ 3
6
2
18
54

Answers

Answer:

18.

Step-by-step explanation:

3*12 = 36

36/2 = 18

18*3 = 54

54/3 = 18

Answer:

18

Step-by-step explanation:

3 x 12 is 36,

36 divided by 2 is 18,

18 x 3 is 54,

54 divided by 3 is 18

Simplify 2/5 (40x – 75)
which one ?? help plsss
100x - 187.5
80x/5 - 150/5
80x - 150
16x-30

Answers

Answer:

16x-30

Step-by-step explanation:

distribute 2/5 by 40x and then 75

2/5(40x) - 2/5(75)

16x - 30

Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9​

Answers

Answer:

Option E

Step-by-step explanation:

Explicit formula of a geometric sequence is,

[tex]T_n=a_1(r)^{n-1}[/tex]

Here, [tex]a_1=[/tex] First term

[tex]r=[/tex] common ratio

[tex]n=[/tex] number of terms

If, [tex]a_1=18[/tex] and [tex]a_2=9[/tex]

Common ratio of the sequence [tex]r=\frac{a_2}{a_1}[/tex]

[tex]r=\frac{9}{18}[/tex]

[tex]r=\frac{1}{2}[/tex]

By substituting these values in the formula,

[tex]T_n=18(\frac{1}{2} )^{n-1}[/tex]

Therefore, Option E is the answer.

Please help with this one too??

Answers

Answer:

21979

Step-by-step explanation:

21979 = 11(1997)+12

At noon, the temperature at a mountaintop research center is 11 degrees. Overnight the temperature drops to -19 degrees. Which expression represents how much the temperature changed? A. (191 B. |-191 C. |-301 D. |-381
if anyone wants to answer my last 2 questions I would really appreciate​

Answers

Answer: -30

Step-by-step explanation:

My answer is correct because, All you have to do is subtract all the numbers by 11 and the one that has the sum -19 is the correct choice. In this case -30 does and we can make sure were orrect by subtracting 11 by -19 and that equals -30.

#[tex]AnimePower[/tex]

What is 2.712264 rounded to the nearest cent?
marking brainliest

Answers

Answer:2.7

Step-by-step explanation:trust me

Answer:

2.71-----------------

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