Gerry purchases 12 hamburgers at a fast food restaurant for $2.25 each. For half the amount of money, he could purchase 5 buffalo chicken sandwiches. What is the “half” amount?

Answer:

  x² +3x -50 = 0

Step-by-step explanation:

The area expression you got in part (a) is ...

  A = (x +8)(x -5) = x² +3x -40

If the area is to be 10, then x must satisfy the equation ...

  10 = x² +3x -40

  x² +3x -50 = 0 . . . . . . subtract 10 and put in standard form

Answer:

x ∈ 〈-∞,-5/2]∪[3,+∞〉

Step-by-step explanation:

2x²-x-15 ≥ 0

2x²+5x-6x-15 ≥ 0

x(2x+5)-3(2x+5) ≥ 0

(2x+5)(x-3) ≥ 0

so

2x+5 ≥ 0

x-3 ≥ 0

2x+5 ≤ 0

x-3 ≤ 0

solve the equation

x ≥ -5/2

x ≥ 3

x ≤ -5/2

x ≤ 3

x ∈ [3,+∞〉

x ∈ 〈-∞,-5/2]

so x ∈ 〈-∞,-5/2]∪[3,+∞〉

Answer:

[tex]c=\frac{81}{4}[/tex]

I hope this is the right answer and I hope this helps

The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.

A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.

The expression is given below.

⇒ x² + 9x + c

The value of the variable 'c' to convert the expression as the square of a binomial will be given as,

c = (9/2)²

c = 81 / 4

The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.

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Julio will receive $ 128 on the tenth day.

Given that Julio won a contest, and his cash prize is given to him in the following way: On the first day, Julio will receive $ 0.25, and for each successive day, the amount of money Julio receives doubles, to determine an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day, and determine how much money will Julio receive on the tenth day, the following calculations must be performed:

Therefore, Julio will receive $ 128 on the tenth day.

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Step-by-step explanation:

Hope it will help you...

Answer:

82/12

Step-by-step explanation:

Answer:

  A -- only

Step-by-step explanation:

A segment bisector intersects a segment at its midpoint.

S is the midpoint of segment PQ, so ST is a segment bisector. (It intersects PQ at its midpoint, S.)

No other midpoints are shown in this drawing.

__

A perpendicular bisector is perpendicular to the segment it bisects. None are shown in this drawing.

__

An angle bisector divides an angle into two congruent parts. None are shown in this drawing.

__

The vertex of a right angle is often marked with a small square. Only point P is the vertex of a right angle in this drawing. (We cannot assume OPQR is a square.)

Answer:

26.18 units

Step-by-step explanation:

You could use distance formula three times to calculate the length of each side. Add the three lengths to find the perimeter. However, (see image) if you look at a graph of these points, two of the sides are the hypotenuse of a right triangle that have known, integer values--Pythagorean triples. The sides are 3-4-5 and the other is 6-8-10. We use the Pythagorean theorem to find the third side. See image.

11.18 + 5 + 10

= 26.18 units

The perimeter of triangle is 26.18.

A triangle is 2-dimensional closed curve. which has 3 sides, 3 angles and 3 vertices.

According to the question,

Triangle ABC has coordinates A(-6,2), B(-3,6), C(5,0).

Distance formula: √(x₂-x₁)² + (y₂-y₁)².

Points A and B are (-6,2) and (-3,6)

= √(-3-(-6))² + (6-2)²

= √9+16

= √25

=5.

Thus, point A and B has distance, S₁ = 5.

Points B and C are (-3,6) and (5,0)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(5-(-3))² + (0-6)²

= √(8)² + (-6)²

= √(64+36)

=√100

=10.

Thus, point B and C has distance, S₂ = 10.

Points C and A are (5,0) and (-6,2)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(-6-(5))² + (2-0)²

= √((-11)² + (2)²)

=√(121+4)

=√125

=5√5

Thus, point C and A has distance, S₃= 5√5.

Perimeter of triangle = S₁ + S₂+S₃

= 5 + 10 + 5√5

=15+5√5

=15+5(2.23606)

=15+11.1803

=26.1803 ≈ 26.18

Hence, the perimeter of triangle is 26.18.

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Answer:

Step-by-step explanation:

x = 3y

x + y = 180°

3y + y = 180° ⇒ y = 45° = a

x = 3( 45° ) ⇒ x = 135° = b

The sizes of angles represented by a and b​ are 45 and 135 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

We are given that

x = 3y

Since we know that the linear pair is

x + y = 180°

Therefore, 3y + y = 180°

y = 45° = a

x = 3( 45° )

x = 135° = b

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Answer:

(a) The probability that at least 5 of the first 10 sites contain the given keyword is 0.0328.

(b) The probability that the search engine had to visit at least 5 sites in order to find the first occurrence of a keyword is 0.4096.

Step-by-step explanation:

Mark as brainliest if correct

Step-by-step explanation:

We know that in kinematics we can write the formula for uniformly accelerated bodies:

s = 1/2 a t^2 + v0 t + s0

In our case s0 (initial deployment)  = 0m and v0 (initial velocity) = 0

So:

s = 1/2 a t^2

Now we isolate t:

t = [tex]\sqrt[2]{\frac{2s}{a} }[/tex]

All proportionalities are obvious.

Note: I forgot to say that a, the acceleration, is the gravitational acceleration. It can be g or -g depending on how you'll choose the reference system.

The required distance is 11.4 rounded to the tenth

If light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a light  source, this is expressed as:

If a light intensity (I) is 516 lumens at the source and 4 lumens at a specific distance from the  source, the distance is calculated as:

l = a/d²

d² = a/l

d² = 516/4

d = √129

d = 11.4

Hence the required distance is 11.4 rounded to the tenth

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Answer: u < 6

Step-by-step explanation: 2 + u < 8

u < (8-2)

u < 6

Answer:

6 13/28

Step-by-step explanation:

Hope this helps!

Answer:

24x^5

Step-by-step explanation:

3 x 8 = 24

x multiplied by x^4 = x^5

(the exponents add to each other when multiplied)

Answer:

<

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Answer:

it's the first option (x ≥ -4)

Step-by-step explanation:

Domain refers to the x range, which is the horizontal line. As we can that the point last touches from the left is -4 and it is a colored circle so that means that there is a line underneath. Then, it goes right so that means that x is larger and/or equal to -4.

x ≥ -4

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

As x goes up, so does y. That immediately makes B incorrect.

The others (C and D) are incorrect because they points are not plotted correctly.

That leaves you with A.

Answer:

18

Step-by-step explanation:

since the equation of AC is y=x-4 then the length of CB and AB must be the same. therefor its (6*6)/2

Answer:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

Answer:

Preserve angles

Step-by-step explanation:

i think sorry if its wrong

Answer:

to preserve angles

Step-by-step explanation:

Answer:

Using Descartes' Rule of Signs, we observe whether each consecutive term has a + or - sign:

f(x) = 3x4 − 5x3 − x2 − 8x + 4

Signs are: + - - - +

There are 2 sign changes (from +3 to -5, then from -8 to +4). This means that there are either 2 or 0 positive roots. (We take the number of sign changes, which is 2, and subtract by 2s to get all possible numbers of positive roots.)

For negative roots, we first invert all the odd-powered terms in f(x):

3x4 + 5x3 − x2 + 8x + 4

Signs are: + + - + +

There are 2 sign changes, from +5 to -1, and from -1 to +8. Therefore, there are either 2 or 0 negative roots.

Since the overall degree of f(x) is 4, the total number of roots must sum up to 4. There are either 2 or 0 positive roots, and 2 or 0 negative roots, and everything that remains will be a complex root. The possibilities are:

2 positive, 2 negative, 0 complex

2 positive, 0 negative, 2 complex

0 positive, 2 negative, 2 complex

0 positive, 0 negative, 4 complex.

Therefore we can have either 0, 2, or 4 complex roots.

The correct answer is the last choice.

Answer:

x + y = 11

Step-by-step explanation:

You would need to substitute the numbers into the expression.

Evaluate means that we need to work out what the answer would be.

x + y is equivalent to 9 - - 2.

- - is equivalent to +.

Therefore you would do 9 + 2, which equals 11.

Hope this helps :)

Answer:

A and C

Step-by-step explanation:

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Answer:

the slope is 8

Step-by-step explanation:

since , x = 8 is a vertical line ,so the slope is undefined