Use the vertical line test to determine whether the relation is a function. If not, identify two points a vertical line
would pass through.

Answer:

y ≥ 6.25

Step-by-step explanation:

f(x)=4x²+2x-6

positive (4) leading coefficient, curve is left up and right up

x coordinate of vertex: x = - b/2a = - 2/2*4 = - 1/4  (-0.25)

y = 4*(-1/4)² + 2*(-1/4) - 6 = -6 1/4  (-6.25)  ... extreme

range: y ≥ - 6.25    [-6.25,∞)

9514 1404 393

Answer:

  Josiah ate 1/12 package more

Step-by-step explanation:

Each of them ate 1/2 package on one of the days. On the other day, Rodney ate 1/3 = 4/12 of the package, and Josiah ate 5/12 of the package.

Josiah ate 5/12 -4/12 = 1/12 more of the package of cookies.

Given that x° and 2x° are same-side interior angles, the value of x is: 60.

Recall:

x° and 2x° are same-side interior angles.

Therefore:

x° + 2x° = 180°

3x° = 180°

x = 180/3

x = 60

In summary, given that x° and 2x° are same-side interior angles, the value of x is: 60.

Learn more about same-side interior angles on:

https://brainly.com/question/16976757

Answer:

-23/40, 9/24, 20/32, 7/8, 10

Step-by-step explanation:

Answer:

2y°+y+10°+50°=180°[by sum of angles of triangle is 180°]

3y + 60°=180°

3y=180°-60°

3y=120°

y=120/3

y=40

option a.

Answer: 8>a

Step-by-step explanation:

If 8 is greater than a, then this symbol > would be pointing at the 8. Think of it as a hungry mouth. It would rather have more food then less food, which is why is points at the 8.

Answer:

i think all can be corrected. and all r right

Answer:

To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Step-by-step explanation:

hope its right

Answer:

Monday = 1,700

Tuesday = 1,900

Wednesday = 2,100

Step-by-step explanation:

i started by dividing the total (5700) by 3 (because there were 3 days)

5700 ÷ 3 = 1900

that gives us our middle number. from there, you subtract 200 to get the first day's number and add 200 to get the third day's number

1900 - 200 = 1700

1900 + 200 = 2100

Answer:

3.16 is the answer

Hope it helps!

Step-by-step explanation:

The approximate length of one side of the piece of cheese is 3.16 inches so option (C) will be correct.

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Area of square = Side²

The perimeter of the square = 4× side

Length of diagonal of square = √(2) × side

Let's say the length of the side of the piece is x

Then,

Area = x²

Since it covers 10 inches² so it means it has an area of  10 inches²

So,

x² = 10 ⇒ x = 3.16 inches.

Hence "The approximate length of one side of the piece of cheese is 3.16 inches".

For more about a square,

https://brainly.com/question/2189895

#SPJ2

Answer:

hope this helps :)

Step-by-step explanation:

2x + 3 = 6

The best next step would be to subtract 3 from both sides of the equation.

2x + 3 - 3 = 6 - 3

⇒ 2x = 3

0.5

this part is a filler for the 20 character filter))

Answer:

0.5

Step-by-step explanation:

So tenth is at the 1st number from the "." so 0.1 So where the 1 is at. We then look at the thousandth spot and see if the number is over 5 if it is make it a 0 and make the next number to the left a +1, in this case 0.460, then make sure the hundredth place is over 5, as 6 is greater than 5 make the 6 a 0 and make the 4 a 5.

Answer:

436, 4297, 4301

Step-by-step explanation:

look at the digits carefully and arrange them

Step-by-step explanation:

17/6 = 2⅚

hope this helps you.

Answer:

[tex] \frac{17}{6} = 2 \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \frac{17}{6} = \frac{12 + 5}{6} = \frac{12}{6} + \frac{5}{6} = 2 + \frac{5}{6} = 2 \frac{5}{6} [/tex]

───────────── ೄྀ࿐ ˊˎ-  

PRELIMINARY

Fractions are part of a whole. For example, if an object is divided into two equal parts, the value of each part is half or one-half of the total number of objects. Fractions can be expressed in the form: a/b

DISCUSSION

Fractions also have fractions in different forms but have the same value which are called equivalent fractions. Fractions can also be simplified. To find a fraction equal to a fraction, we can multiply (×) or divide (÷) the numerator and denominator of the fraction by the same number. And to simplify fractions, we can divide (÷) the numerator and denominator of the fraction with the same number.

**

There are various forms of fractions, including:

**

Now from the discussion above, it turns out that ordinary fractions still have two more types, namely =

➳ A pure fraction is a fraction whose numerator is smaller than the denominator.

➳ An impure fraction is a fraction whose numerator is greater than its denominator.

**

The arithmetic operations also apply to fractions, including:

................................

Subject: Mathematics

Grade: 5

Question Code: 2

Material : Chapter 5 - Fractions

Categorization Code : 5.2.5

Keywords: Definition of Fractions, Types of Fractions

Answer:

答案是一棵 12 98 百年的橡树和一千棵橡树

Answer:

h- 19

Step-by-step explanation:

Answer:

3

x

2

+

x

−

2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x \geq \frac{1}{2}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]3x - 2 \geq x-1\\\rule{150}{0.5}\\\rightarrow 3x -2 + 2 \geq x - 1 + 2\\\\\rightarrow 3x \geq x + 1\\\\\rightarrow 3x -x \geq x - x + 1\\\\\rightarrow 2x \geq 1\\\\\rightarrow \frac{2x \geq 1}{2}\\\\\rightarrow \boxed{x \geq \frac{1}{2}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

The tax is applied to the total minus the exempted amount:

Correct choice is C

Answer:

yearly gross pay  $52,375

subtract the exemption $52,375 - (4000 + 2000) = 46375

calculate the state income tax (46375) x (0.015) = 695.625

rounder to the nearest hundred  $695.63

Your answer is C.

Step-by-step explanation:

1.) slope: -4 (m = -4)

2.) slope: 0 (m = 0)

3.) slope: undefined (infinite)

4 & 5 are pictured below:)

hope this helps!

Line segment of length k is divided into 3 equal parts.

so first segment is 0-k/3 and third segment is 2/3k-k

so mid-pt of 1st = k/6 and 3rd = 5/6k

so the distance in between = 5/6k-k/6 = 4/6k = 2/3k

Answer:

y=-1.5x-10

Step-by-step explanation:

standard form is y=mx+b m here is -1.5 -1.5*-4=6 6-10=-4

y=-1.5x-10

Answer:

First car consumed 25 gallons

Second car consumed 30 gallons

Step-by-step explanation:

Let x = first car gallons

     y = second car gallons

15x + 25y = 1125

x + y = 55

Let's use substitution method

Subtract both sides of the bottom equation by y

x + y = 55

  - y     - y

x = 55 - y

Plug in the new x into the top equation

15(55 - y) + 25y = 1125

825 - 15y + 25y = 1125

10y + 825 = 1125

Subtract 825 from both sides

10y + 825 = 1125

      - 825    - 825

10y = 300

Divide by sides by 10

10y/10 = 300/10

y = 30

The second car consumed 30 gallons

Plug in the new y into one of the original equations; let's use the bottom one

x + 30 = 55

  - 30   - 30

x = 25

The first car consumed 25 gallons

Answer:

Mean: 6

Median: 4.5

Mode: 4

Range: 13

Step-by-step explanation:

Answer:

mean = 6

median = 4.5

mode = 4

range = 13

Step-by-step explanation:

To find the mean, median, mode and range firstly place the numbers in ascending order.

2, 4, 7, 15, 7, 4, 5, 4

= 2, 4, 4, 4, 5, 7, 7, 15

(Mean is the average of all the data in a set.)

[tex] \\ \tt2, 4, 4, 4, 5, 7, 7, 15[/tex]

[tex] \\ \tt = \frac{2 + 4 + 4 + 4 + 5 + 7 + 7 + 15}{8} [/tex]

[tex] \\ \tt = \frac{48}{8} [/tex]

(Median is the middle number of the set.)

2, 4, 4, 4, 5, 7, 7, 15

median

= 4+5/2

= 9/2

= 4.5

(Mode is the number which appears multiple times.)

2, 4, 4, 4, 5, 7, 7, 15

mode = 4

(Range is the number which comes by subtracting the smallest number to the largest number.)

2, 4, 4, 4, 5, 7, 7, 15

Largest number = 15

Smallest number= 2

range

= 15-2

= 13

Answer:

Tickets for a raffle cost $14. There were 834 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1200 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?

-----

Random "winning" value::.....1214....... -14

Probabilities:::::............1/834.... 833/834

----------

Expected Value = (1*1214 -14*833)/834 = -$12.53

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Looking at the graph, we can see that the y value of 7 corresponds to the x-value of -3. The y value is equivalent to the value f(x) holds. This means f(-3)=7 and x = -3.

Answer:

Brainliest plz

Step-by-step explanation:

the answer is 3

Answer:

Step-by-step explanation: