. The turning point of f(x) = 2x2 - 11x +8 is
-

Answer:

5/12

Step-by-step explanation:

1 hour = 60 minutes

[tex]\dfrac{25}{60}=\dfrac{5*5}{5*12}=\dfrac{5}{12}[/tex]

The fraction of an hour that is equivalent to 25 minutes is 5/12

Data;

The fraction of an hour that is equivalent to 25 minutes would be the ratio between 25 minutes to 60 minutes which is one hour.

[tex]\frac{25}{60} = \frac{5}{12}[/tex]

The fraction of an hour that is equivalent to 25 minutes is 5/12

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Answer:

x=71 degrees

Step-by-step explanation:

it is a isosceles triangle so the blank angle is also x

angles of a triangle add up to 180

180=38+2x

2x=142

x=71

Answer:

-2.5 per hour

Step-by-step explanation:

its going down 5 every 2 hours so just divide both by 2 and you got it

Answer:14 ft

Step-by-step explanation: 50^2=x^2+48^2(Pythagorean theorem)

x^2=2500-2304

x^2=196

x=14

Using it's concept, considering a spinner with four sections and a die with 6 numbers, there is a [tex]\frac{1}{6}[/tex] probability of landing on red and rolling a number greater than 2.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

The events are independent, hence:

[tex]P(A \cap B) = P(A)P(B) = \frac{1}{4} \times \frac{4}{6} = \frac{1}{6}[/tex]

[tex]\frac{1}{6}[/tex] probability of landing on red and rolling a number greater than 2.

More can be learned about probabilities at https://brainly.com/question/14398287

The factors of the given expression will be 7,x, x, y, and ( x + 2y²- y).

We have the expression:

7x³y+ 14x²y³-7x²y²

A factor is a number that divides another number completely.

Let us take '7x²y' as common in the above expression

7x²y( x + 2y²- y)

7. x.x.y ( x + 2y² - y)

Further, we cannot make any factor.

Therefore, the factors of the given expression will be 7,x, x, y, and ( x + 2y²- y).

To get more about factors refer to the link,

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The area of the garden is the amount of space on the garden.

The dimensions of the garden is given as:

15 meters by 20 meters

Let the width of the pedestrian pathway be x.

So, the area of the total garden is:

[tex]Area=(x + 15)(x + 20)[/tex]

In (a), we have:

[tex]Area=(x + 15)(x + 20)[/tex]

The total area is given as: 336.

So, we have:

[tex](x + 15)(x + 20) = 336[/tex]

Expand

[tex]x^2 + 35x + 300 = 336[/tex]

Collect like terms

[tex]x^2 + 35x + 300 - 336 = 0[/tex]

Evaluate

[tex]x^2 + 35x - 36 = 0[/tex]

Expand

[tex]x^2 + 36x -x - 36 = 0[/tex]

Factorize

[tex]x(x + 36) -1(x +36) = 0[/tex]

Factor out x + 36

[tex](x + 36)(x -1) = 0[/tex]

Solve for x

x = -36 or x =1

The width cannot be negative.

Hence, the width of the pathway is 1 meter

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Answer:

X=55

Step-by-step explanation:

It says 15, so what you want to do is times 15x14 because those are the only sides of the shape. After you multiply 15x14 which is 60, you need to minus 5 because it shows a subtraction sign. So, 60-5= 55. X=55

Answer:

16 units

Step-by-step explanation:

A/B = 5/4 = 20/p

5/4 = 20/p

5p = 4 × 20

p = 4 × 4

p = 16

Answer: 16 units

Answer:

C*C*C*C*C

Step-by-step explanation:

C^5 is C times itself 5 times hence C*C*C*C*C. Hope this helps.

Answer:

No.

Step-by-step explanation:

First, we need to firgure out what 1/4 of 18 is (4.5). Then, multiply 4.5*22 to see the gallons left by the average traveled each gallon (99). Clearly, 99 is not equal to or greater than 110.

Answer:

The graph shows 2 outliers. The scatter plot consist on a straight pattern. As seen, only 2 points are not within the straight line. We can conclude that only two points are outliers. =

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

I just took the test do not listen to the other persons answer or you will get it wrong. :) no offense. Have a great day everyone.

The graph that models the scenarios must increase upwards since it is a growth rate.

Given the exponential function expressed as:

f(x)=250(1.10)^x-4

where

x is the time taken

The graph that models the scenarios must increase upwards since it is a growth rate. The required graph is as shown below;

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Answer:

D on edge

Step-by-step explanation:

Step-by-step explanation:

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.

so, we see

x changes by +8 (from 5 to 13).

y changes by -6 (from -3 to -9).

so, the slope is -6/+8 = -3/4

Hello.

Let's find the slope using the slope formula:

[tex]\mathrm{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\mathrm{\displaystyle\frac{-9-(-3)}{13-5} }[/tex]

[tex]\mathrm{\displaystyle\frac{-9+3}{13-5} }[/tex]

[tex]\mathrm{\displaystyle\frac{-6}{8} }[/tex]

The fraction can be simplified:

[tex]\mathrm{\displaystyle-\frac{3}{4} }[/tex]

Therefore, the slope is

[tex]\mathrm{\displaystyle-\frac{3}{4} }[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

0.408

Step-by-step explanation:

a 10-by-10 grid means there are 100 squares and percent is out of 100 so if you have 42% then you just need to fill in 42 squares

Quadrilaterals are shapes with four sides

The description of the quadrilateral is (d)  rectangle, that is not square

The coordinates are given as:

W(-5,5), X(-3, 8), Y(6, 2), and Z(4, -1)

Next, we plot the coordinates on a graph (see attachment)

From the attachment, we can see that the coordinates form a rectangle

Hence, the description of the quadrilateral is (d)  rectangle, that is not square

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Answer:

y = -(5/4)x - (1 3/4)

Step-by-step explanation:

A line parallel to y= -(5/4)x - 6 will have the same slope, -(5/4), but a different value for the y-intercept, which is -6 in this equation.  This means we can write:

y = -(5/4)x + b

As klong a b is not -6, the line will be parallel.  But we are told that point (5,-8) must be on the new line.  That means we need to select a value of b to make that happen.  By shifting b, we can move the straight line up or down.  To move it so that it goes through (5,8), enter that point in the equation and solve for b:

y = -(5/4)x + b

-8 = -(5/4)*5 + b   for (5,-8)

-8 = -(25/4) + b

b = -8 + (25/4)

b = -(32/4)+(25/4)

b = -(7/4) or - 1 3/4

The parallel line that goes through (5,-8) is y = -(5/4)x - 2

Answer:

y=-5/4x-7/4

Step-by-step explanation:

Answer:

89 boxes

Step-by-step explanation:

1610/18= 89.4444444444

Then you round down since only 89 full boxes can be made.

Answer:

v thirteen forty eights

seven and one half hours

8 x 5/6

8 x 5 = 40

40/6

Answer:

a 280

b 2280

Step-by-step explanation:

a Interest = 2000 * 3.5 * 4

------------------------ = 280

100

b 2000 + 280 = 2280

Answer:

Step-by-step explanation:

[tex]\sqrt{6} x \sqrt{10} is a surd\\\sqrt{144} + \sqrt{49}[/tex]is a surd

Answer:

the sample is biased

Step-by-step explanation:

x²-13x+5x-65

x²-8x-65

(x+5)(x−13)

Domain

x∈R

Range

y∈[−81,∞)

Zeros

x=−5; x=13

Y-intercept

y=−65

Minima

(4,−81)

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{4+3}{-1}=\dfrac{-7}{1}=-7[/tex]

Equation in slope intercept form

[tex]\\ \rm\rightarrowtail y-4=-7(x)[/tex]

[tex]\\ \rm\rightarrowtail y=-7x+4[/tex]

Answer:

[tex]y=-7x+4[/tex]

Step-by-step explanation:

Formulae

Slope-intercept form of a linear function: [tex]y = mx + b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

Point-slope form of a linear function:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex]  is a point on the line)

Slope formula

[tex]\textsf{slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points on the line)

Solution

Choose 2 points on the line:

Find the slope using the slope formula:

[tex]\implies \textsf{slope}=\dfrac{-3-4}{1-0}=-7[/tex]

Substitute found value for [tex]m[/tex] and point (0, 4) into the point-slope formula:

[tex]\implies y-4=-7(x-0)[/tex]

[tex]\implies y=-7x+4[/tex]

1. x = 60 (in this trapezoid, opposite angles are equal)

2. Find the third angle of the left triangle : 180 - 17 - 133 = 30
In a parallelogram, the side that is opposite to a side is parallel to each other.

x and the 30 degree are alternate angles -> x = 30

3. (I'll call the 4 triangles A,B,C,D respectively in anticlockwise)

Triangle A has the 25 degree angle, and the bottom right angle of triangle C, they are alternate angles (and the sides are parallel due to the property.)

So, the bottom right angle of triangle C = 25

Triangle C and D form an isoceles triangle, so x = 25.


4. This one I'll just do short. There's a right angle in the triangle that contains x.

3 angles in a triangle add up to 180, so x = 180 - 90 - 50 = 40.