Which graph shows a vertical translation of ƒ(x) up 5 units to give a new function g(x)?

Answer:

U equal them

Step-by-step explanation:

An divide

Answer:

:/

Step-by-step explanation:

Answer:

66 feet

Step-by-step explanation:

We know that the t in the equation represents the time. So, substitute 2 for the t in the function and simplify to find the height after 2 seconds:

[tex]h(t) = -16t^2+63t+4\\h(2) = -16(2)^2+63(2)+4\\h(2) = -16(4)+126+4\\h(2) = -64 + 126+4\\h(2) = 66[/tex]

Thus, the height would be 66 feet.

Answer:

0.38888888888889

7 divided by 18

Step-by-step explanation:

Answer:

59.04g of fat

Step-by-step explanation:

I) Figure out how much grams of fat is in 1g of margarine:

3.6 ÷ 5 = 0.72

II) Next, we can figure out how much fat is in 82 g of margarine:

0.72 × 82 = 59.04

One shot formula:

(3.6g ÷ 5g) × 82g = 59.04g

Step-by-step explanation:

YELLOW TRIANGLE:

[tex] \sin(30) = \frac{x}{12} \\ x = 12 \sin(30) = 6[/tex]

PURPLE TRIANGLE:

Since one of the angle is 45°, x = BC = 6

To prove:

[tex] \tan(45) = \frac{bc}{x} \\ bc = x \tan(45) = 6 \tan(45) = 6[/tex]

PINK TRIANGLE:

[tex] \tan(60) = \frac{bc}{y} \\ y = \frac{bc}{ \tan(60) } \\ = \frac{6}{ \tan(60) } \\ = 2 \sqrt{3} [/tex]

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Algebra

Factor

Factor the polynomial.

(

x

+

3

)

(

x

+

5

)

Tap to view FREE steps...

()|[]√≥

789≤

456/^×>∩∪

123-+÷<π∞

,0.%=

Factor

x

2

+

8

x

+

15

+

0

Regroup terms.

x

2

+

0

+

8

x

+

15

Add

x

2

and

0

.

x

2

+

8

x

+

15

Factor

x

2

+

8

x

+

15

using the AC method.

Tap for fewer steps...

Consider the form

x

2

+

b

x

+

c

. Find a pair of integers whose product is

c

and whose sum is

b

. In this case, whose product is

15

and whose sum is

8

.

3

,

5

Write the factored form using these integers.

(

x

+

3

)

(

x

+

5

)

Answer:

(x+3)(x+5)

Step-by-step explanation:

Answer:

x³+7x²+14x+8

Step-by-step explanation:

distribute!

(x³+3x²+2x)+(4x²+12x+8)

add the similar values

x³+7x²+14x+8

Answer:

do math

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Side FG = Side DG.  Therefore, 5x - 17 = 3x + 1, or 2x = 18, or x = 9.

If x = 0 then the length of side FG is 5(9) = 17, or 28.

Answer:

Exact answer = 26π/45 feet.

or we can write it as 1.815 feet to the nearest thousandth.

Step-by-step explanation:

The circumference of the circle = 2*4*π = 8π feet.

So the length of S = (26/360) * 8π

= 26π/45 feet.

Answer:

8/9

Explanation:

2/9 x 4/1 = 8/9

Answer:

It is exponential

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

mn=1/-2

i hope it helps you

Answer:

84

Step-by-step explanation:

Answer:

either (3x7)x4   or (3)(7)(4)

Step-by-step explanation:

Answer:

140 degrees

Step-by-step explanation:

Im only a freshman, but i think i got it, i just assumed that the other small part at the bottom was also 20 degrees, which would mean that you are missing the 140 degrees from the 180 degree line

Answer:

120 degrees

Step-by-step explanation:

The bottom part is 40 degrees,

the two lines are parallel, so theoretically, you can just put them together. Then using vertical angles, you can tell it's 40 degrees.

40 + 20 = 60

180-60 degrees is 120 degrees.

The interest rate for his account was r ≈ 1.375% .

Because if 192/36 = 5.3333 and 32/6 = 5.3333 then the solution is right

Answer:

It is a solution because when you divide 192 by 36 you get 5 and one third. When you divide 32 by 6 you also get 5 and one third. This means they are equal.

Step-by-step explanation:

Answer:

98.5 cm2

Step-by-step explanation:

Answer: No solutions

Step-by-step explanation:

You can either use substitution or elimination

You can plug in y to the first equation to get x-(x-4)=6 to get 4=6 which is not possible so no solutions

1. b) Factorise ➾ y² - 20y + 100

1. d) Factorise ➾ 48 - 13p - p²

2. d) Factorise ➾ 18y² - y - 4

2. e) Factorise ➾ 4m² - 27m + 18

1. b) y² - 20y + 100

⇝ y² - 10y - 10y + 100 ( Splitting middle term )

⇝ y ( y - 10 ) - 10 ( y - 10 )

⇝ ( y - 10 )(y - 10 ) Ans.

1. d) -p² - 13p + 48

⇝ -p² - 16p + 3p + 48 ( Splitting middle term )

⇝ -p ( p + 16 ) + 3 ( p + 16 )

⇝ ( p + 16 )(3 - p ) Ans.

2.d) 18y² - y - 4

⇝ 18y² - 9y + 8y - 4 ( Splitting middle term )

⇝ 9y ( 2y - 1 ) + 4 ( 2y - 1 )

⇝ ( 2y - 1 )( 9y + 4 ) Ans.

2.e) 4m² - 27m + 18

⇝ 4m² - 24m - 3m + 18 ( Splitting middle term)

⇝ 4m ( m - 6 ) - 3 ( m - 6 )

⇝ ( m - 6 )( 4m - 3 ) Ans.

Answer:

Exponential Growth

Step-by-step explanation:

The function is increasing and not decreasing. Because the base is greater than 1, the equation represents exponential growth. If the base were to be less than 1, then it would represent exponential decay.

Answer:

[tex]N_l=270 litres[/tex]

Step-by-step explanation:

From  the question we are told

Total litres of water [tex]N_t=320[/tex]

Total litres removed [tex]N_r=50[/tex]

Generally the Total litres left in the tank N_l is mathematically given as

[tex]N_l=N_t-N_r[/tex]

[tex]N_l=320-50[/tex]

[tex]N_l=270 litres[/tex]

Therefore the total water left in the tank is

[tex]N_l=270 litres[/tex]

Answer:

y = -15x + 1900

Step-by-step explanation:

This is correct because, your base number is 1500, so that is your y-intercept. The school's population is shrinking by 15 students per year so, that becomes your slope. Hope I helped. ;)

Answer:

x=9

y=16

z=12

Step-by-step explanation: