IM BEING TIMED HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answer:

x ∈ ( - ∞ , 20 )

Step-by-step explanation:

Given :

x / 4 + 6 < 11

Adding - 11 both we get:

= > x / 4 + 6 - 11 < 11 - 11

= > x / 4 - 5 < 0

Multiply by 4 both we get:

= > x - 20 < 0

Adding 20 both side we get:

= > x - 20 + 20 < 20

= > x < 20

Solution set x ∈ ( - ∞ , 20 )

Hence we get required answer!

9514 1404 393

Answer:

  x > -20

Step-by-step explanation:

This is a "2-step" inequality with a negative coefficient.

  x/-4 +6 < 11 . . . . . given

  x/-4 < 5 . . . . . . . . subtract 6 from both sides

  x > -20 . . . . . . . . .multiply both sides by -4

Because the multiplier is negative, the sense of the comparison must be reversed.

_____

Check

  x = -24 should not be in the solution set: -24/-4 +6 < 11 ⇒ 12 < 11 . . . False

  x = -16 should be in the solution set: -16/-4 +6 < 11 ⇒ 10 < 11 . . . True

Answer:

-2(3) + 4x -4 =-14

-6 + 4x -4=-14

4x = -14 + 6 + 4

4x = -4

x=-1

To verify this...Input -1 into the original equation... You'd get -14

Answer:

[tex]x^{2} - 25[/tex]

Step-by-step explanation:

Area is side x side, so naturally it would be: (x+5)(x - 5)... Though to simplify, those parenthesis can be FOILed. (Reminder: "FOIL" means First - Outer - Inner - Last)

[tex]x^{2} - 5x + 5 x - 25[/tex]

The 5x cancels out because 5x - 5x = 0

So that leaves us with:

[tex]x^{2} - 25[/tex]

=========================================================

Explanation:

Let's say we replace the "x+5" with some other letter. Let's use L for length.

We'll keep the width x-5 the same.

area = length*width

area = L*(x-5)

area = L*x + L*(-5)

area = xL - 5L

At this point, we would then plug in L = x+5 and distribute like so:

area = x( L ) - 5( L )

area = x( x+5 ) - 5( x+5 )

area = x^2 + 5x - 5x - 25

area = x^2 - 25

Side note: (x+5)(x-5) = x^2 - 25 is an application of the difference of squares rule.

Answer:

[tex]\text{a) }30+14t\leq 110,\\\text{b) }5,\\\text{c) The maximum number of tickets the group of friends can buy is 5.}[/tex]

Step-by-step explanation:

a) Let [tex]t[/tex] represent the number of tickets they can buy. We have the following inequality:

[tex]30+14t\leq110[/tex]

b) Solving, we get:

[tex]30+14t\leq110,\\14t\leq110,\\t\leq \left\lfloor \frac{80}{14}\right \rfloor,\\ t\leq \boxed{5}[/tex]

c) The maximum number of tickets the group of friends can buy is 5.

Answer: y=−7x^2−7x+84

Step-by-step explanation: Hope this help :D

Answer:

2,200

Step-by-step explanation:

Number of hours amusement park opens = 11 hours

Number of people who ride the swing in one hour = approximately 200

what is the maximum amount of people that can ride the swing in one day?

Number of people that can ride the swing in one day = Number of hours amusement park opens × Number of people who ride the swing in one hour

= 11 × 200

= 2,200 approximately

Number of people that can ride the swing in one day = 2,200

Answer:

5/3

Step-by-step explanation:

Answer:

D) f(x) = 6x

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

probably 2 or 4

Step-by-step explanation:

The factor that the surface area changes by is 4, the correct option is C.

The lateral surface area of a cylinder is also called the curved surface area of the cylinder.

Suppose that:

Radius of the considered cylinder = 'r' units

Height of the considered cylinder = 'h' units

Then, the lateral surface area of that cylinder is:

[tex]S_L = 2\pi r h \: \rm unit^2[/tex]

We are given that;

The dimensions of the cylinder

Now,

The formula for the surface area of a cylinder is:

SA=2πr2+2πrh

where r is the radius and h is the height of the cylinder. If we double both r and h, we get:

SA′=2π(2r)2+2π(2r)(2h)

Simplifying, we get:

SA′=8πr2+8πrh

Comparing this to the original formula, we can see that the new surface area is four times the old surface area.

Therefore, by the surface area of cylinder answer will be 4.

Learn more about lateral surface area of a cylinder here:

https://brainly.com/question/11385509

#SPJ7

Answer:

Vertex is (-5, -1)

(-3, 3) is a point on the parabola.

Step-by-step explanation:

f(x) = x² + 10x + 24

Let (h, k) be the vertex

h = -b/2a = -10/2(1) = -5

k = f(-5) = (-5)^2 + 10(-5) + 24

  = 25 - 50 + 24 = -1

Vertex is (-5, -1)

Now, let x be some value different than -5, say -3

f(-3) = (-3)^2 + 10(-3) + 24

      = 9 - 30 + 24 = 3

So, (-3, 3) is a point on the parabola.

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

There are no algebraic methods for solving an equation like this.

The proof of Fermat's Last Theorem demonstrates that no integer x-value can possibly exist that is greater than 2. Trial and error (or your familiarity with Pythagorean triples) tells you that x=2 is a solution for this equation. Equations like this can be solved graphically, as in the attached.

Answer:

[tex] x =2[/tex]

Step-by-step explanation:

Given :-

[tex]{3}^{x} + {4}^{x} = {5}^{x} [/tex]

And we need to find out the value of x. Well there is no specific method to solve the equation .This can be only done using the " Trial and error" Method.

[tex]\implies {3}^{2} + {4}^{2} = {5}^{2} [/tex]

Verification :-

[tex]\implies {3}^{2} + 4^2 = 9+16=25=\boxed{5^2}[/tex]

So , the value of x is 2 . We can here prove that , x does not have other roots other than 2 . For that , divide the both sides of equation by [tex]5^x[/tex] , we have ,

[tex]\implies \dfrac{{3}^{x} + {4}^{x}}{5^x} = \dfrac{{5}^{x}}{5^x} [/tex]

[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+ \bigg( \dfrac{4}{5}\bigg)^x = 1 [/tex]

Now if we take the value of x greater than 2 or less than 2 , then the value 1 will not be satisfied for the values of x greater than or less than 2 .

That is ,

[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x > \bigg( \dfrac{3}{5}\bigg)^2 +\bigg( \dfrac{4}{5}\bigg)^2 [/tex]

Subsequently :-

[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x > 1 [/tex]

[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x < \bigg( \dfrac{3}{5}\bigg)^2 +\bigg( \dfrac{4}{5}\bigg)^2 [/tex]

Subsequently :-

[tex]\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x <1[/tex]

Hence 2 is the root of the given equation.

Answer:

5.5 miles per hour

Step-by-step explanation:

Since he travels a total of 55 miles in 10 hours, you need to divide.

55/10 = 5.5

total hours/total miles = miles per hour

Answer:

416

Step-by-step explanation:

Answer:

Y = 4

Step-by-step explanation:

Answer:

81.64

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please be explicit in labeling the radius.   I will assume y ou meant r = 13 m.

Circumference formula:  C  = 2πr; area formula:  A = πr²

Here, with r = 13 m, C = 2π(13 m) = 26π m = C = 81.68 m

and

with r = 13 m, A = π(13 m)^2 = 169π = A = 530.93 m^2

Answer:

135.5"

Step-by-step explanation:

Answer:

8509.4

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

nooooooooooooooooooooooooo

Answer:

you are corrcet

Step-by-step explanation:

Let's solve your equation step-by-step.

2x2−5x=7

Step 1: Subtract 7 from both sides.

2x2−5x−7=7−7

2x2−5x−7=0

2x2+−5x+−7=0

Step 2: Use quadratic formula with a=2, b=-5, c=-7.

x=−(−5)±√(−5)2−4(2)(−7)/2(2)

x=5±√81/4

Answer:

x= 7/ 2

or x=−1

the same thing

Answer:

x = 300 minutes

Step-by-step explanation:

20 + .15x = 35 + .10x

.05x = 15

Answer:

Inferential

Step-by-step explanation:

The process of drawing inferences about a population on the basis of information contained in a sample taken from the population is called Statistical Inferences.

In the given question the inferences have to be drawn from the sample which is representative of the population.

So the best answer is inferential statistics.

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Acceleration is defined as the rate of change of velocity.

Velocity is a vector, which means it contains a magnitude (a numerical value) and a direction.

So the velocity can be changed either by changing the speed or by changing the direction of motion (or both).

Answer:

velocity

Step-by-step explanation:

The definition of acceleration is: Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity.

Answer:

$2.25 Per Kilometer

Step-by-step explanation:

Divide the amount of Money that Emmanual Was charged with, And Divide the Amount of Kilometers of the taxi ride.

32 Divided by 14 2/9= $2.25 per Kilometer

Answer:

A1(8,0)

B1(12,6)

C1(6,8)

Step-by-step explanation:

If its dilated by a scale factor of 1/2, that means for each x and y-coordinate you divide by 2 to get the new scale factor

Originally A(16,0) so now it would be A1(8,0)

Originally B(24, 12) so now it would be B1(12,6)

Originally C(12, 16) so now it would be C1(6,8)