Is this a function? Can you show your work on how you got the answer plz?

Answer:

orientation is preserved (stays the same)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Neither are a function because they do not pass the vertical line test.

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

Answer:

[tex]\boxed {\boxed {\sf x^2=-2y}}[/tex]

Step-by-step explanation:

First, plot the two points. We can see the focus is below the vertex. The result will be a vertical parabola. Since the parabola must contain the focus, it will have to open downward.

From this information, we know that the following equation must be used:

[tex](x-h)^2=-4p(y-k)[/tex]

where (h,k) is the vertex and p is the distance from the focus to the vertex.

Next, find p, the distance between the focus and vertex. We can use the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The vertex is (0,0) and the focus is (0, -1/2). Therefore:

[tex]x_1=0\\y_1=0\\x_2=0\\y_2= -1/2[/tex]

[tex]d=\sqrt{(0-0)^2+(0--1/2)^2}[/tex]

[tex]d=\sqrt{(0)^2+(0+1/2)^2}[/tex]

[tex]d=\sqrt{0+(1/2)^2}[/tex]

[tex]d=\sqrt{0+1/4}[/tex]

[tex]d=\sqrt{1/4}[/tex]

[tex]d=1/2[/tex]

Now we know the distance and vertex. We can plug the values into the equation.

d=1/2 and (h,k)= (0,0)

[tex](x-0)^2=-4(1/2)(y-0)[/tex]

[tex](x)^2=-2(y)[/tex]

[tex]x^2=-2y[/tex]

The equation of the parabola is x²= -2y

Answer:

m = -5/4

General Formulas and Concepts:

Algebra I

The slope of the perpendicular line is the negative reciprocal of the original slope.

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope-Intercept Form (Original):   y = 4/5x + 9

Step 2: Break Original Function

Slope m = 4/5

y-intercept b = 9

Step 3: Find slope of perpendicular line

Take the negative reciprocal.

Perpendicular Slope m = -5/4

Answer:

hi

Step-by-step explanation:

Answer:No value

Step-by-step explanation:there are no value solutions that make x a solution

Answer:

19

Step-by-step explanation:

3(x+8)-1=3x+3   3x+24-1=3x+4     3x+23=3x+4       3x+19=3x       -3x+3x=19

x=19

Answer:

Step-by-step explanation:

i tride but it will be helpful if you give me brainlits

Answer:

D

Step-by-step explanation:

A graph represents a function of x when it passes the vertical line test. That is, no x values map out to more than 1 y value.

Therefore, D is the only function of x.

Answer:

Break-even point in units= 334

Step-by-step explanation:

Giving the following information:

Desired profit= $500

Selling price= $2

Unitary variable cost= $0.5

To calculate the number of units to be sold, we need to use the following formula:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (0 + 500) / (2 - 0.5)

Break-even point in units= 334

Answer:

I think it would be 45 degrees

Answer:

A complementary angle would be two different angles that add up to 90 degrees. If you have an angle of 60 degrees, the other side would have to be 30 to be complementary.

Answer:

x=2

Step-by-step explanation:

3(7-2x)-19-5(4-x) = 3(8-6x)-9x+5(4-x)

or, 21-6x-19-20+5x = 24-18x-9x+20-5x

or, 21-19-20-6x+5x = 24+20-18x-9x-5x

or, -18-x = 44-32x

or, -x+32x = 44+18

or, 31x = 62

or, x = 62/31

or, x = 2

Answer:

Step-by-step explanation:

21-6x-19-20+5x=24-18x-9x+20-5x   distribution property

-x-18=44-32x              common factors

31x-18=44                   add 32x to both sides

31x=62                  add 18 to both sides

x=2                   divide 31 to both sides(equals 2) so x equals 2

Answer:

4550 kilowatt

Step-by-step explanation:

Given that :

Amount of energy produced per hour by solar energy system = 9.1 kw per hour

Number of hours for which electricity is produced per day = 5 hours

How much energy will be produced in 100 days

Number of kilowatt of energy produced per day:

Energy produced per hour * number of hours

9.1 kw per hour * 5 hours = 45.5 Kilowatt per day

In 100 days :

Daily energy produced * number of days

45.5 kilowatt * 100 days

4550 kilowatt

Answer:

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Step-by-step explanation:

The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at start 3:00 pm and what time will it be when despacito at the same time ?

Find and list multiples of time that despacito plays Radio hot 97 and Station Z 100.

Hence, we find the Multiples of 5 minutes and 7 minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45

Multiples of 7:

7, 14, 21, 28, 35, 42, 49

Therefore, the first common multiple is found which is the lowest common multiple is 35

LCM(5, 7) = 35

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Answer:

of course they play despacito that much lol

Step-by-step explanation:

Answer:

N + 7 = 12

Step-by-step explanation:

When you have a number minus a negative number, it's the same as addition.

Answer:

N=4

Step-by-step explanation:

or N- x -7=12   because

( ) means multiplication

Answer:

5

Step-by-step explanation:

55$-17.50=37.5

37.5/7.5=5

Answer:

106°

Step-by-step explanation:

they are parallel to each other

Answer: 106

Step-by-step explanation:

Answer: B

Step-by-step explanation: If you divide the 3 Y to get Y by itself, you will divide 3 on both sides. So 2X/3=2X/3 and -9/3=-3

So it will be Y=2X/3-3

Answer:

-3 is the solution set of the following equation

Answer:

sin( 61) = x/55

55(sin(61)) = x

48.1 = x

Hope this helps!

Answer: ab =6

have:

[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1[/tex]

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Jack can spend less than or equal to. So C is correct.

The inequality represents the given situation is 65 ≥ 18 + 11n will be correct thus, option (A) is correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given,

Total budget = 65

Total spent = 18 + 11n  where n is the number of canvases.

Total spent ≤ total budget

18 + 11n ≤ 65

Hence "The inequality represents the given situation is 65 ≥ 18 + 11n will be correct".

For more about inequality,

brainly.com/question/20383699

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Answer:

3

Step-by-step explanation:

-6+6=0

Plus the 3

Your answer is 3

Answer:

-3 or 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 25x^2-40x+16

25x^2-40x+16 is equivalent to (5x - 4)^2.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

(5x - 4)^2

we know,

(a-b)^2= a^2-2ab+b^2

by using this, we get,

(5x - 4)^2

=5x*5x-2*5x*4+4*4

=25x^2-40x+16.

Hence, 25x^2-40x+16 is equivalent to (5x - 4)^2.

To learn more on multiplication click:

brainly.com/question/5992872

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Answer: t=12

Step-by-step explanation:

t-2=10

add 2 to both sides of the equation

t=12

Answer:

x=3/12 or 1/4

Step-by-step explanation:

x + 1/6 = 5/12

x + 2/12 = 5/12

x = 3/12

converts to 1/4

Answer:

x= 1/4

Step-by-step explanation:

5/12- 1/6 = 1/4

Answer:

x = 6 deg

Step-by-step explanation:

14x + 11 = 16x - 1 (corresponding angles, // lines)

-2x = -12

x = 6

Answer:

C

Step-by-step explanation:

16x - 1 and 4x + 11 are corresponding angles and are congruent, thus

16x - 1 = 14x + 11 ( subtract 14x from both sides )

2x - 1 = 11 ( add 1 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Substitute x = 6 into either of the 2 equal angles

Substituting into 14x + 11 , then

14x + 11 = 14(6) + 11 = 84 + 11 = 95° → C

Answer:

(5m+6) (5m-6)

Step-by-step explanation:

That's how you factor it since +30 and -30 cancel out