Find the equation for the
following parabola.
Focus (0,5)
Directrix y = -5
A. y2 = 20%
B. X2 = 5y
C. X2 = 20
D. y2 = 5x

Step-by-step explanation:

f(x)=2x+1 and g(x)=x²-7

(f/g)(x) = (2x+1)/(x²-7)

Answer:

pls answer my questions plsss

Answer:

x=15 y=24

Step-by-step explanation:

This is because the rule is x goes up 3 y goes up 4

(9,12)->(x,20)

it skips one, so instead of adding 3 we add six

x=15

(15,20)->(18,y)

you follow the rule and 4.

Y=24

Answer:

x=3.5

Step-by-step explanation:

25÷2=12.5

12.5-9=3.5

Answer:

7/5 or 3.5

Step-by-step explanation:

2 (x+9) =25

x+9 = 25/2

x = (25/2) - 9

x = 7/2 in decimal = 3.5

Answer:

C. g(x) = 4x²

Step-by-step explanation:

we have one specific point on g(x) : (1,4)

so, for x=1 the functional value (y) has to be 4.

A. (4×1)² = 4² = 16 and not 4. => wrong

B. 1/4 × 1² = 1/4 and not 4. => wrong

C. 4×1² = 4 and that IS 4 => correct

D. 16×1² = 16 and not 4 => wrong

Answer:

x      -2      -1       0      1

y      -1       2        5      8

Step-by-step explanation:

y=3x+5

When x=-2

y=3(-2)+5

y=-6+5

y=-1

when x=-1

y=3(-1)+5

y=-3+5

y=2

whenx=0

y=3(0)+5

y=5

When x=1

y=3(1)+5

y=3+5

y=8

Answer:

29

Step-by-step explanation:

There is a triangle embedded in triangle MNO, which is triangle PQO, and these are similar triangles in that their corresponding sides are always in the same ratio, which in this case is 2:1, as MP = MO due to the midpoint definition, and therefore MO is twice as long as MP. Same for NO and QO.

Now that we know the ratio, we can set 6x-4 = 2(-5x+64)

6x-4 = -10x +108

16x = 112

x = 7

Plug x back in for PQ, -5(7)+64 = 29

The measure of PQ is 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

and, PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

Learn more about mid point theorem here:

https://brainly.com/question/13677972

#SPJ2

Answer:

b + s = 14

5b + 10s = 80

Step-by-step explanation:

Answer:

b + s = 14

$5b + $10s = $80

Step-by-step explanation:

the sum of boogie board and surfboard rented is 14

boogie board rented + surfboard rented = 14

b + s = 14  equation 1

total income derived from renting the two types of boards is $80

total income derived = total income derived from renting boogie boards + total income derived from renting surfboards

total income derived from renting boogie boards = cost of renting one boogie board x number of boogie boards rented

= $5 x b = 5b

total income derived from renting surfboards = cost of renting one surfboard x number of surfboards rented

= $10 x s = 10s

80 = 5b + 10s   equation 2

Answer:

[tex]10 \frac{2}{5}[/tex]

Step-by-step explanation:

Using BODMAS

[tex]6\frac{1}{2} \times (\frac{8}{9} \div\frac{13}{18}) + ( \frac{3}{4} )\ of \ 3\frac{1}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ expression \ inside \ bracket \ ]\\\\\frac{13}{2} \times (\frac{8}{9} \times \frac{18}{13}) + (\frac{3}{4}) \ of \ \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \ ]\\\\\frac{13}{2} \times (\frac{16}{13}) + (\frac{3}{4}) \ of \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ of \ ] \\\\[/tex]

[tex]\frac{13}{2} \times (\frac{16}{13} ) + (\frac{3}{4} \times \frac{16}{5} )\\\\\frac{13}{2} \times (\frac{16}{13} ) + \frac{12}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ solving \ \times \ expressions \ ] \\\\(\frac{13}{2} \times \frac{16}{13}) + \frac{12}{5}\\\\8 + \frac{12}{5}\\\\\frac{40 + 12}{5}\\\\\frac{52}{5}\\\\10\frac{2}{5}[/tex]

Answer:

where are the answer choices?

Step-by-step explanation:

Answer:

BELOW

Step-by-step explanation:

1) C= PD so

a) 12.56

b) 18.84

c) 37.68

2) C=2PR so

a) 2*3.14*2= 12.56

b) 2*3.14*14= 87.92

c) 2*3.14*12= 75.36

3)  C=2PR so

a) 56.52

b) 69.08

c) 43.96

4)

a) 31.4

b) 56.52

c) 40.82

Answer:

240 dollars.

Step-by-step explanation:

I'd be assuming you mean the returns on interest rate after you put $6000 into the system, kind of like how you get returns after you deposit money at the bank. In that case:

[tex]6000 \cdot (1 + 4%) - 6000[/tex]

[tex]= 6240 - 6000[/tex]

[tex]= 240[/tex] dollars

Of course, you didn't say how frequently the interest rate would be compounded, so this result would be if the interest was compounded yearly.

Hope this helped!

Answer:

$240

Step-by-step explanation:

4% of $6000 = $240

Answer:

Hay 56 venados en el grupo.

Step-by-step explanation:

En primer lugar, debemos traducir la proposición (oración) en una expresión matemática:

"Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100"

[tex]x + \frac{x}{2} + \frac{x}{4} + 1 = 100[/tex]

[tex]\frac{3\cdot x}{2} + \frac{x}{4} = 99[/tex]

[tex]\frac{7\cdot x}{4} = 99[/tex]

Donde [tex]x[/tex] es el número de venados.

[tex]x = 56.571[/tex]

Puesto que la cantidad de venados es un número entero, debemos truncar al entero más cercano. Es decir:

[tex]x = 56[/tex]

Hay 56 venados en el grupo.

Answer:

Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9

Answer:

0, 0.5, 8/3, root 5, 3.1

Answer:

n=8

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

When X is - 5 then y is 3

When X is-1 then y is - 2

When X is 3 then y is -4

From the graph we get, when x is - 5 then y is 3, when x is -1 then y is - 2, and when x is 3 then y is -4.

A point is a dot in space used to indicate an exact location in space.

Consider the first line, which has constant y values. its x value ranges from -1 to negative infinity.

The second line is starts from (-1,-2) point and tend towards positive infinity but its y values and x values are varying.

Hence, when x = -5 y is 3 and at x = -1 the y values is -2. Similarly, when x = 3 then y = -4.

To learn more about point, use the link given below:

https://brainly.com/question/1590611

#SPJ2

Answer:

[tex]x^{15}[/tex]

Step-by-step explanation:

Distribute the ^3 on top

(27 [tex]x^{6}[/tex] [tex]y^{-9}[/tex])

distribute the ^ -9 on bottom, only to what is in the parenthesis

(27 [tex]x^{-9}[/tex] [tex]y^{-9}[/tex])

the 27's cross out, the [tex]y^{-9}[/tex] 's cross out

[tex]x^{6}[/tex]/ [tex]x^{-9}[/tex] is left

move the  [tex]x^{-9}[/tex] to the top of fraction to change its sign

[tex]x^{6}[/tex] · [tex]x^{9}[/tex] = [tex]x^{15}[/tex]

Answer:

Step-by-step explanation:

The standard form equation for this type of problem is

[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of depreciation, and x is the number of years in question. Because the value of the car is going down, b can also be written as (1 - r) where r is the rate of depreciation. For us, then, the equation will look like this:

[tex]y=a(1-r)^x[/tex] and filling in:

[tex]y=21000(1-.14)^3[/tex] which in simplified form is

[tex]y=21000(.86)^3[/tex] which I'm assuming is how choice 4 should look.

Answer:

The common difference is definitely 3. The common difference is the difference between the numbers in a sequence. In the sequence 3,6,9,12, and 15 the common difference is 3.

Answer:

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.

Step-by-step explanation:

my answer is an image above

[tex]\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}[/tex]

Answer:

its 36 dollars

Step-by-step explanation:

27 + x = 62

x = 62 - 27

x = 36

The percentage reduction can be written as 16.6667% of 300. 83.3333 percent decrease (%↓) or reduction from 300 is 50.

Answer:

83.33%

Step-by-step explanation:

300-50=250

250/300=83.33%

Answer: $13.90

Step-by-step explanation:

Since Susana has a budget for school stationery of $33, but has already spent $19.10 on books and folders, the inequality that shows how much she can spend on other stationery, will be represented by:

p + $19.10 = $33

p = $33 - $19.10

The inequality is p = $33 - $19.10

Then, the amount that she can spend on other stationery will be:

P = $33 - $19.10

P = $13.90

She can spend $13.90 on other stationary

B

Please mark me as a brainlist

Answer:

900

Step-by-step explanation:

3²×5 = 45

3×2²×5² = 300

LCM = 900

Hope this helps... pls vote as brainliest

Answer:

log10( 5x^2)

Step-by-step explanation:

2 log10 (x) + log10 (5)

we know that  c loga (b) = log a (b^c)

log10 x^2 + log10 (5)

We also know that logc a + logc b = logc (ab)

log10 (x^2* 5)

log10( 5x^2)