7x^2+16-8

Solve using the Quadradic Formula, and round to the nearest hundredth as needed.

Someone please help-

Answers

Answer 1
First step (7x2 - 16x) - 8 = 0
Second step Factoring 7x2-16x-8

The first term is, 7x2 its coefficient is 7 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is -8

Step-1 : Multiply the coefficient of the first term by the constant 7 • -8 = -56

Step-2 : Find two factors of -56 whose sum equals the coefficient of the middle term, which is -16 .
All of that said it’ll be 2.708
How I got 2.708 is x =(16+√480)/14=(8+2√ 30 )/7= 2.708
And 0.422 is x =(16-√480)/14=(8-2√ 30 )/7= -0.422
Answer 2

Answer: 0.45  and -2.74

Step-by-step explanation:

You're going to want to use the Quadratic Formula, so (-b±√(b^2-4ac))/2a.

When you plug in you should get -16 ± √16^2-4(7)(-8)/2(7)

-16± √(256+224) all divided by 2 x 7 or 14

(-16 ± 22.3607)/14

0.45  and -2.74 are your answers


Related Questions

evaluate the expression when m=3 and n=8. 40/n-m=

Answers

Answer:

2

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

If n = 8 and m = 3, 8 - 3 = 5.

40 ÷ 5 = 8

Hope this helps

Can someone please help me find the ordered pairs for U and T?

thanks!

Answers

u (-1 ; 0)

t (-3 ; 0)

Find the product.
(5 – 3z)(5 + 3z) =
(Simplify your answer.)

Answers

Answer:

25 - 9(z)²

Step-by-step explanation:

Hope this helps :)

25-9z (I use follicle Method)

Find the next three terms in the sequence. 24,20,16,12…. (If you could explain it that would be great too. It’s a bit confusing)

Answers

Answer:

the next three numbers should be 8, 4, 0

Step-by-step explanation:

it reduces by 4 each time

24 - 4 = 20

20 - 4 = 16

16 - 4 = 12

12 - 4 = 8

8 - 4 = 4

4 - 4 = 0

First term =a=24

common difference=d=20-24=-4

Formula

a_n=24-4(n-1)

a_5

24-4(4)8

a_6

24-5(4)4

a_7

24-6(4)0

Find the side labeled x.
HELP

Answers

Answer: 89

Step-by-step explanation:

60 + 31 = 91

180 - 91 = 89


If this isn’t correct then sorry :/

What is the surface area?
10 ft
8 ft
10 ft
12 ft
10 ft

Answers

Answer:

12×8/2=48

10×10=100

2(48)+3(100)

96+300= 396ft²

if f(x)=2x^2-3x+4, find f(x+3)

Answers

Step-by-step explanation:

well, the approach is totally simple : we use (x+3) everywhere where we have "x" in the function expression.

so,

f(x+3) = 2(x+3)² - 3(x+3) + 4 =

= 2(x² + 6x + 9) - 3x - 9 + 4 =

= 2x² + 12x + 18 - 3x - 9 + 4 =

= 2x² + 9x + 13

A cube has an edge length of 12 meters. What is its volume, in cubic meters?

Answers

V=1728m3
Explanation: V=a3=123=1728m3

Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the other zero
-2, square root 5, 10/3

Answers

Step-by-step explanation:

The root is

-sqr root of 5.

First, we put these roots in the forn of

[tex](x - a)[/tex]

where a is the root

So we have

[tex](x - ( - 2))(x - \sqrt{5} )(x - \frac{10}{3} )[/tex]

[tex](x + 2)(x - \sqrt{5} )(3x - 10)[/tex]

[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )[/tex]

To get rid of that square root, let have another root that js the conjugate posive root of 5.

[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )(x + \sqrt{5} )[/tex]

[tex](3 {x}^{2} - 4x - 20)(x {}^{2} + 5)[/tex]

Which will gives us a rational coeffeicent of degree 4.

Why we didn't do

[tex](x - \sqrt{5} )[/tex]

?

Because

[tex](x - \sqrt{5} ) {}^{2} = {x}^{2} - 2 \sqrt{5} + 5[/tex]

If we foiled out we will still have a irrational coeffceint.

Johan can get lunch at Joe’s Deli for $12, and he can get lunch at Majestic for $8. In one month, Johan spent $96 on lunches (and he only went to those two places, and he always got the same thing). Which equation represents possible combinations of how many lunches Johan bought at Joe’s and Majestic?
A)y=4x+96
B)12x+8y=20
C)y-8=96(x-12)
D)12x+8y=96

Answers

Answer: D

Step-by-step explanation:

It’s really obvious just circle D

What is the value of x? sin(x 37)°=cos(2x 8)° enter your answer in the box. x =

Answers

Applying the trig formula: sin a = cos (90 - a)
cos (2x + 8) = sin (x + 37) = cos (90 - x - 37) = cos (53 - x)
Property of the cosine function -->
(
2
x
+
8
)
=
±
(
53

x
)

a. 2x + 8 = 53 - x
3x = 45
x
=
15


b. 2x + 8 = - 53 + x
x
=

61


For general answers, add
k
360


Check by calculator.
x = 15 --> sin (x + 37) = sin 52 = 0.788
cos (2x + 8) = cos (38) = 0.788. Proved
x = - 61 --> sin (x + 37) = sin (- 24) = - sin 24 = - 0.407
cos (2x + 8) = cos (-122 + 8) = cos (- 114) = - 0.407. Proved

The value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15.

How to convert sine of an angle to some angle of cosine?

We can use the fact that:

[tex]\sin(\theta ^\circ) = \cos(90 - \theta^\circ)[/tex]

to convert the sine to cosine (but the angles won't stay same unless its 45 degrees).

For this case, we're specified the equation sin(x+37)°=cos(2x+8)°.

Converting sine to cosine, we get:

[tex]\cos(90 - x - 37)^\circ = \cos(2x + 8)^\circ\\[/tex]

Since cosine is a periodic function with period of [tex]360^\circ[/tex], thus, we get:
[tex]90 - x - 37= 2x + 8 +360 n[/tex]

where n = an integer (positive, negative, or zero).

or

[tex]90 - 37 - 8= 3x + 360 n\\\\x = \dfrac{45 - 360n}{3} = 15 - 120n[/tex]

This is the general solution of the considered equation.

Assuming that only principal values (from 0 to 360 degrees) angles are allowed, we need:

[tex]0 \leq x + 37 \leq 360\\\\and\\\\0 \leq 2x+8 \leq 360[/tex]

The first inequality gives:

[tex]-37 \leq x \leq 323[/tex]

The second inequality gives:

[tex]-4 \leq x \leq 176[/tex]

We need to satisfy both the inequalities, so the final boundaries on x are:

[tex]-4 \leq x \leq 176[/tex] (the minimum ones for which both inequalities stay true).

n = -2 gives x = 255n = -1 gives x = 135n = 0 gives x = 15n = 1 gives x =  -105

n < -2 gives x > 255, and n > 1 gives x < -105

So, values of n for which [tex]-4 \leq x \leq 176[/tex] is true are n = -1, or n = 0

Thus, x = either 135 or 15

sin

Thus, the value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15

Learn more about sine to cosine conversion here:

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HELP!
An animal shelter has a total of 20 cats, dogs, and
parrots. There are at least twice as many cats as dogs
and at least 3 times as many parrots as dogs. What is the
maximum number of dogs they could have?

Answers

Answer:

The answer is 4 dogs

Step-by-step explanation:

Let the number of dogs be x

=>The number of cats = 2x

=> The number of parrots = 3x

2x + 3x = 20

=>5x = 20

=>5x ÷ 5 = 20 ÷ 5

=>x = 4

They could have the maximum number of dogs is 4 dogs.

The given is,

An animal shelter has a total of 20 cats, dogs, and parrots.

There are at least twice as many cats as dogs and at least 3 times as many parrots as dogs.

What is a maximum number?

A maximum is a unique number for a given set of data. This number can be repeated, but there is only one maximum for a data set.

Let the number of dogs be x

The number of cats = 2x

The number of parrots = 3x

2x + 3x = 20

5x = 20

5x / 5 = 20 / 5

x = 4

Therefore the are 4 dogs.

To learn more about the maximum numbers visit:

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Assessment started: undefined. Item 1 What is the median of this data set? {11, 13, 13, 14, 14, 16, 18, 23, 24} Enter your answer in the box.

Answers

{11, 13, 13, 14, 14, 16, 18, 23, 24}

mode: 13, 14median : 14minimum : 11maximum : 24interquartile range : 7.5total numbers : 9
Total nos=9

As it's odd

Median:-

n+1/29+1/210/25

Median is 5th term 14

2 is multiplied by the difference of a number and 4. ​

Answers

Answer:

x=3

Step-by-step explanation:

4(x-2)=4.         divide both sides by 4

x-2=1.               add 2 to both sides

x=3

Answer:

2(x-4)

Step-by-step explanation:

* means multiplied by

2 is multiplied by the difference of a number and 4

multiplied by separates

2 AND "by the difference of a number and 4"

"by the difference of a number and 4" is in a parenthesis

"a number" means x

"the difference" means minus or -

2 is multiplied by the difference of a number and 4 =

2 * (x-4) =

2(x-4)

HELP ASAP GIVING BRAINLIEST LETS GO! In a dark hallway, you have a hard time finding your way to the bathroom. To find the bathroom, you try the following:
Shouting for help
Feeling your way down the hall
Turning on a lamp
Crawling along the floor
----------------------------------------------------------------------------------------------------------------------------
.All four are successful, but only one of these options uses two forms of energy. Identify the two forms of energy for that option.(2 points)
A.Electrical and light
B.Heat and sound
C.Mechanical and light
D.Sound and heat

Answers

Answer
mechanical and light

PLS HELP ME ASAP I WILL MARK THE BRAINIEST

Answers

Answer:

73°, 85°, 62°

Step-by-step explanation:

#1

Angle formed by two chords is half the sum of the intersepted arcs:

m∠HKI = m∠GKJ = 1/2(105 + 41) = 1/2(146) = 73°#2

Angle formed outside by two tangents is half the difference of intercepted arcs:

1/2(55x - 17x) = 9538x = 190x = 190/38x = 5

Find the arc measure:

mAC = 17x = 17*5 = 85°#3

Angle formed outside by two secants is half the difference of intercepted arcs:

mBCD = 1/2(mAE - mDB) = 1/2(147 - 23) = 1/2(124) = 62°

There are a total of 12 bicycles and tricycles in a parking lot. If there are 31 wheels in all, how many of them are bicycles?

Answers

Answer:

5 bicycles

Step-by-step explanation:

5 * 2 = 10 wheels

7 * 3 = 21 wheels

10 + 21 = 31

Hope this helped! Brainliest :)

A cylinder-shaped container has a radius of 20 centimeters and a height of 100 centimeters.

What is the approximate volume of the cylinder?

Enter your answer in the box. Use 3.14 to approximate pi.

Answers

Answer: The volume of the cylinder is 125, 600 cm^3

Step-by-step explanation:

Volume = 3.14 x Radius^2 x Height

Volume = 3.14 x 20^2 x 100

Volume = 3.14 x 400 x 100

Volume = 125,600 cm^3

Use+the+following+data+to+compute+the+relative+market+share+of+each+brand+and+its+position+on+the+growth-share+matrix+if+the+market+growth+rate+is+13. 4%. +which+of+the+following+is+correct?

Answers

Market share is simply the percentage of the total revenue or sales in a market which a particular business makes.

What is a market share?

Your information is incomplete. Therefore, an overview of the market share will be given. Market share is a measure of consumers' or businesses' preference for a product over other similar products.

A higher market share means greater sales and less effort is needed to sell more and a strong barrier to entry for other competitors.

For example, if there are 50,000 units sold per year in an industry, a company that has sales of 5,000 of those units would then have a 10 percent share in that market.

Learn more about market share on:

https://brainly.com/question/25309906

constitutional amendment that has significantly changed the structure of congress as written in the original constitution

Answers

this isn’t the correct way because

Please help me on this

Answers

Answer:

[tex]5.4 \times {10}^{ - 17} {m}^{2} [/tex]

[tex]s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} [/tex]

A window in the shape of a parallelogram had a base of 46 inches and a height of 45 inches. What is the area of the window?

Answers

Answer:

A = bh

A = 45 x 46

A = 2070 inches

Answer:

2070 squre in

Step-by-step explanation:

because the base is 46 and the height is 45 then we just multiply the two together to find the area.

so we solve it and we get

45*46=2070

A stores daily average sales during its first year in 1991 were $345. Since then, the average daily sales have increased about $35 year. Let t be the number of years since 1991. Which equation represents the average daily sales as a function of t

Answers

Answer:

d

Step-by-step explanation:

This i-ready lesson is hurting my brain, anyway I need help on this one ‍

Answers

Answer:

I am pretty sure it is 100in^3 + s^3

A 5.2 pound package of chicken costs $11.90. What is the cost per pound?

Answers

Answer:

$2.29

Step-by-step explanation:

1. Divide $11.90 by 5.2

2. 11.90➗5.2 = 2.88 but you round the number so it will be 2.29

Hope this helps :)

work out the total length of the wire two wire shapes make an earring. the shapes are a circle with radius 21mm and a quarter circle 6mm. work out the total length of the wire in the earring. give your answer in the form a pie +b where a and b are integers.

Answers

Answer:

45n+12mm

Step-by-step explanation:

I hope this is right if it is right pls mark me as brainliest and learn well

the value of a and b will be 45 and 0 for the given expression.

What is proportionality?

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given, the shapes are a circle with a radius of 21mm and a quarter circle of 6mm.

Since Radius = 21 cm

the radius of the circle/ radius of the quarter circle = 7/2

Total length = Sum of the circumference of both the circle

Since the formula for the circumference of a circle:

C = 2 * pi * radius

Total length = 2* pi* r + 1/4 * (2 * pi * r')

Total length = 2 *pi * 21 + pi * 3

Total length = π(42 + 3)

total length = 45π + 0

therefore, the value of a and b will be 45 and 0 for the given expression.

Learn more about proportionalities here:

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#SPJ2

Find the x-intercept and y-intercept of the line.
=+6x3y−6

Answers

The answer is:


The x and y-intercepts are 3/7 and -3
Respectively.The slope is 7.

A cookie recipe for 30 cookies calls for 2 cups of flour. How much flour is needed to make 45 cookies? How much cups is needed for 45 cookies. And what is the unit rate for cookie/cups of flour

Answers

3 cups of flour for 30 cookies
Unit rate is 15/1
1 cup of flour for every 15 cookies

Answer:

3 cups. 15 cookies to 1 cup of flour.

Step-by-step explanation:

The answer is 3 cups. The first thing you do is find the unit rate. Divide 30 by 2 and you know that 1 cup of flour makes 15 cookies. Then divide 45 by 15 which is 3 and which tells you that 3 cups of flour makes 45 cookies.

Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? 4x2 216x 2,592 = 0 4x2 216x − 684 = 0 2x2 216x − 3,276 = 0 x2 108x 3,276 = 0.

Answers

The quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

As it is given that the length and the width of the centre area are 72 inches and 36 inches, respectively. When the dimensions of the centre area are converted into the feets, it will be,

[tex]\rm Length = \dfrac{72\ inches}{12} = 6\ feet[/tex]

[tex]\rm Width= \dfrac{36\ inches}{12} = 3\ feet[/tex]

If we take the borders of the table into account, the length and the breadth  of the table will become,

Length = (6+x+x) = (6+2x)

Width = (3+x+x) = (3+2x)

We know that the area of a rectangle is given as the product of the length and width, and also it is mentioned that the area of the entire table is 3,276 square feet. Therefore, the area of the table can be written as,

[tex]{\rm Area=Length \times Width}\\\\3276 = (6+2x)(3+2x)\\\\3276= 18+ 12x+ 6x + 4x^2\\\\4x^2+18x+18-3276=0\\\\4x^2+18x-3258=0\\[/tex]

Thus, the quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.

Learn more about Quadratic Equation:

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Subtract 17a²b from 2a²b

Answers

Answer:

-[tex]15 {a}^{2}b[/tex]

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