Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

9514 1404 393Answer:

  C) Rectangle

Step-by-step explanation:

In general, the vertical cross section of a "right" cylinder will be a rectangle. In some special cases, it may be a square.

Each intersection of the plane with the curved surface is a line, not a curve, so the shape cannot be a circle or ellipse.

Answer:

Step-by-step explanation:For what values of does the equation (2 + 1) have two 2

+ 2 = 10 − 6

real and equal roots?

A quadratic equation that has 2 roots that are equal means that the discriminant  of the equation is 0. The value of k that makes the equation have 2 real and equal roots is [tex]k = \frac{5}{6}[/tex]

Given that:

[tex](2k + 1)x^2 + 2x = 10x - 6[/tex]

Rewrite as:

[tex](2k + 1)x^2 + 2x - 10x + 6 = 0[/tex]

[tex](2k + 1)x^2 - 8x + 6 = 0[/tex]

A quadratic equation is represented as:

[tex]ax^2 + bx + c = 0[/tex]

By comparison:

[tex]a=2k+1\\ b =-8\\\ c =6[/tex]

If an equation has 2 real and equal roots, then:

[tex]b^2 = 4ac[/tex]

So, we have:

[tex](-8)^2 = 4 \times (2k + 1) \times 6[/tex]

[tex]64 = 4 \times (2k + 1) \times 6[/tex]

Divide by 4

[tex]16 = (2k + 1) \times 6[/tex]

Divide by 6

[tex]\frac{16}{6} = (2k + 1)[/tex]

[tex]\frac{8}{3} = 2k + 1[/tex]

Subtract 2 from both sides

[tex]2k = \frac{8}{3} -1[/tex]

Take LCM

[tex]2k = \frac{8-3}{3}[/tex]

[tex]2k = \frac{5}{3}[/tex]

Divide by 2

[tex]k = \frac{5}{6}[/tex]

Hence, the value of k that makes the equation have 2 real and equal roots is [tex]k = \frac{5}{6}[/tex]

Read more about real and equal roots at:

https://brainly.com/question/2535040

Answer:

The total number of branches = total possibilities = the denominator of a probability.

So the second choice is correct.

Let me know if this helps!

Answer:

Step-by-step explanation: answer B (the denominator of a probability)

Step-by-step explanation:

y² - x² + 1 = 50

y² = x² - 1 + 50 = x² + 49

y = ±sqrt(x² + 49)

this is not a function in that sense, as for every x there are not one but 2 y (result) values.

Answer:

Step-by-step explanation:

Find zero's:

The intervals:

As we see correct choices are b and d

Step-by-step explanation:

By rule of bodmas rule

= 1 - 31 + 6 + 3 × 8

= 1 - 31 + 6 + 24

= 1 - 31 + 5 + 24

= - 30 + 5 + 24

= - 25 + 24

= -1

Now without using bodmas rule

= 1 - 31 + 6 + (4 - 1). 8.

=-30+6+4+(4-1)×8

=-23+4+(4-1)×8

=-19+4+(4-1)×8

=-15+(4-1)×8

=-15+3×8

=-15+24

=-9

MARK AS BRAINLIST IF IT IS USEFUL

Answer:

multiplication prop of equality, (multiplying both sides by 6)

simplifying, (not distrib prop as there is no parentheses)

Addition prop of equality, (adding 18 to each side)

simplifying

Step-by-step explanation:

there it is! hopefully it's visible and understandable

:)

9514 1404 393

Answer:

  $1295.35

Step-by-step explanation:

The compound interest formula can be used to find the account balance.

  A = P(1 +r)^t . . . . principal P invested at annual rate r compounded for t years

  A = $600(1 +0.08)^10 ≈ $1295.35

You will have $1295.35 in the account in 10 years.

Answer:

7^5=16,807 and 4^5=1,024

Answer:

The answer is 890 . ...... :D

Answer: 0.155

Step-by-step explanation:

g / 1000 = kilograms

155 / 1000 = 0.155

Answer:

Cos C = a/h

= 21/35

Step-by-step explanation:

since cos is equal to adjacent angle over hypotenuse angle, so from the question we conclude Cos C = 21/35

Answer:

4.

Step-by-step explanation:

Change of base formula is

logb x = loga x / loga b

So logx 25 = log5 25 /log5 x

Now log5 25 = log5 5^2 = 2, so:

logx 25 = 2 / log5 x

So log5 x^2 * logx 25

= log5 x^2 * 2 /log5 x

= 2 log5 x * 2 / log5 x

= 4.

Answer:

The number is 11.

Step-by-step explanation:

[tex]3(8+x)=57\\24+3x=57\\3x=33\\x=11[/tex]

f(x) = 2/cos 2x

f(x) = 2/sin1x

f(x)=1/cos1/sin3

{x∣x ≠ π/4+πn/2} , for any integer n

Must click thanks and mark brainliest

Answer:

Choice D

Step-by-step explanation:

3 ÷ 4/5

We need to have 3 of something and divide it into 4/5

This eliminates choices B and C because those have 4/5 of something

Choice A is giving away which is subtracting

Choice D is 3 lbs divide into 4/5 lb groups

Answer:

blue 1

orange 5

green 3

I hope it is helpful and mark me as brainlest and follow me plz

Answer:

1/9

Step-by-step explanation:

2/6*1/6=2*1/6*6 or 1/9.

Answer:

1/18

Step-by-step explanation:

1. multiply across

2*1 and 6*6

2/36

2. divide by 2 to simplify

2/2 and 36/2

1/18

Answer:

(a) 18

(b) 80

Step-by-step explanation:

(a) let y=kx

so, 24=16k

or, k=24/16 or, k=3/2

now, putting x=12

y=kx

or, y=(3/2)×12

or, y=3×12/2

or, y=36/2

or, y=18

(b) let P=k/z

so, 4=k/200

or, k=800

when P = 10

P=k/z

or, 10=800/z

or, z=800/10

or, z=80

Answer:

125000000

Step-by-step explanation:

1.25 x 10^8

Move the decimal 8 places to the right

1.25

We can move it two places

125

We need to add 6 more zeros

125000000

Answer: 125,000,000

Step-by-step explanation:

Answer:

A: s ≤ 6g

Step-by-step explanation:

Had this on a test that I scored 100 on.

The inequality that is true if winning 6 games doesn't guarantee you as a winner in the set is 6s ≤ g.

An inequality is a relationship that makes a comparison between two non-equal values, integers or other mathematical equations.

From the given information, we have the following claim that:

So, we are given certain condition attached that;

Then, the inequality that is true for this condition is 6s ≤ g.

It implies that, the player truly won the six games but it doesn't guarantee him winning the set.

Learn more about inequalities here:

https://brainly.com/question/24372553

Answer:

x is 18, and y is 9 √ 3

Step-by-step explanation:

Since this is a right triangle that contains a 30 degree angle, we know this is a special right triangle, and the missing angle is 60 degrees since a triangle is 180 degrees, and 180 - 90 - 30 = 60.

The relationship is listed below:

The side opposite of the 30 degrees can be represented as a variable, say "p", and the hypotenuse which is x in your question is twice this. The side opposite of the 60 degree angle is x + √3

So x is 18, and y is 9√3

Answer:

Ans; (657.3÷10)-(94.5÷5) = 65.73 – 18.9 = 46.83

I hope I helped you^_^

Answer:

14.(8.2)= 14.16 = 224

Step-by-step explanation:

the answer is the first one

Answer:

9: tens place

4: tenths place

Step-by-step explanation:

Answer:

Twouufyjughgyuioiu567uhu888

Answer:

55/2.20=25 so 25 black coffees

Step-by-step explanation: