The sum of the real numbers x and y is 25. Their difference is 13. What is the value of xy ? G. 100 H. 104 J. 114 K. 124

Answer:

[tex]y = 4(2^{x} )[/tex]

Step-by-step explanation:

The general form for an exponential function is [tex]y = kb^{x}[/tex]

When x = 2,  y = 16    So, [tex]16 = kb^{2}[/tex]    

and when x = 3,  y = 32    So, [tex]32 = kb^{3}[/tex]

Divide  [tex]\frac{32}{16} = \frac{kb^{3} }{kb^{2} }[/tex]

2 = b

Now, [tex]16 = k2^{2}[/tex]

16 = 4k

k = 4

Therefore, the exponential function is [tex]y = 4(2^{x} )[/tex]

Answer:

The first table, and the graph.

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Answer:

15 percent

Step-by-step explanation:

First use the equation part over total to get 27/180. Then reduce the equation by dividing both the numerator 27 and the denominator 180 by 9. You are left with 3/20. Then use your calculator or you can work it out long hand to get 0.15. You times 0.15 by 100 if you want to find the percent, leaving you with 15 percent.

I hope this helped! :)

Answer:

Step-by-step explanation:

-7y = -4x + 9

7y = 4x - 9

y = 4/7x - 9/7

perp. -7/4

y - 3 = -7/4(x - 4)

y - 3 = -7/4x + 7

y = -7/4x + 10

Answer: √

10

−

75

Step-by-step explanation:

Answer:

463.245553

Step-by-step explanation:

3.16227766+25-5 times 20

Answer:

21ft

Step-by-step explanation:

sin(45°)=height/30

height=30sin(45°)

h=30×√2/2=15√2≈21.213(21ft to the nearest whole)

The height should be 21 ft.

Given that,

Based on the above information, the calculation is as follows:

[tex]sin(45^{\circ})=height\div 30\\\\height =30sin(45^{\circ})\\=30\times \sqrt 2\div 2\\\\=15\sqrt 2[/tex]

≈21.213

= 21 ft

Learn more: brainly.com/question/17429689

Answer:

Step-by-step explanation:

Prime factorization

30 = 2 × 3 × 5

36 = 2² × 3²

HCF = 2 × 3 = 6

Step-by-step explanation:

y-13<6

y<6+13

y<19

hope it helps.

Answer:

y<19

Step-by-step explanation:

Add 13 to both sides.

y<6+13

Simplify  6+13  to  19.

y<19

Answer:

(

−

1

)

(

3

2

+

−

6

)

Step-by-step explanation:

9514 1404 393

Answer:

  5 5/6 hours

Step-by-step explanation:

We can add the times, but it is more convenient to use multiplication.

  5(3/6) + 4(5/6) = (15/6) +(20/6) = 35/6 = 5 5/6

Moira swims 5 5/6 hours each week.

Answer:

[tex] z = 12 \sqrt{5} [/tex]

Step-by-step explanation:

By geometric mean property:

[tex]y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12 [/tex]

By Pythagoras Theorem:

[tex] z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5} [/tex]

Answer:

720000 J

Step-by-step explanation:

The formula is

Work = Force * Distance

Here we have the weight force, which is calculated as w = m * g

acceleration of gravity (g) ≈ 10 m/s

people's mass (m) = 12 * 50 kg = 600 kg

So Force = 10 m/s * 600 kg = 6000 N

Distance = 120 m

Work = Force * Distance = 6000 N * 120 m = 720000 J = 720 kJ

Answer:

He makes £470 profit

Step-by-step explanation:

He pays $160 for 60 jumpers.

He sells 80% (48) for $12 each. Income of $576

He puts the remaining (12) on sale for one full one half off.

He sells 3 for half price ($6) and 3 for full price ($12) Income of $54

$576 + $54 = $630

$630 - $160 = $470

In pounds sorry about the USD

Answer:

[tex]3x - 4y \geqslant - 12[/tex]

Step-by-step explanation:

[tex]3x - 4y \geqslant - 12[/tex]

[tex] - 4y \geqslant - 3x - 12[/tex]

Y <= 3/4X +3

Answer:

x = 12

Step-by-step explanation:

(8x - 34) and (5x + 2) are alternate angles and congruent, then

8x - 34 = 5x + 2 ( subtract 5x from both sides )

3x - 34 = 2 ( add 34 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Step-by-step explanation:

find the slope

-1 - 8/ -2 - -4 = -9/2

y - -1 = -9/2(x - -2)

y +1 = -9/2(x+2)

y = -9/2x -10

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

Answer: 8 days

Step-by-step explanation:  Get out your calculator. Put in 1/2, did you get .5? You should've gotten .5. Now if you put in 4 / .5, then you'll get 8. Seems pretty simple I guess. Lmk if this helped you.

The dog food last for 8 days.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Mr. Simpson feeds his dog 1⁄2 of a cup of dog food each day.

Total cups of food= 4

So, 4 cups of dog food lasts

= 4/ (1/2)

= 4 x2

= 8

Hence, the dog food last for 8 days.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

In geometry, a transversal is a line that intersects two or more other (often parallel ) lines.

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

hi

Answer:

1728 m³

Step-by-step explanation:

[tex]A_{triangle}[/tex] = [tex]\frac{7.2*4.8}{2}[/tex] = 172.8 m²

V = 172.8 × 10 = 1728 m³

Answer:

(-2,-1)

Step-by-step explanation:

y = -x - 3

you replace the x with the -2

y = -(-2) - 3

y=2-3

y=-1

Answer:

i might be wrong but i think it is

Step-by-step explanation:

y

=

−

x

−

2

y=-x-2

1. 13n+15

2. 12n+18

3. 18n+12

Answer:

Ratio 5 = 9375

Ratio 3 = 5625

Step-by-step explanation:

Write your question here (Keep it simple and clear to get the best answer)

a sum of 1,5000.00 in the ratio 5:3

The ratio is given as:

5:3

Total Proportion = 5+3 = 8

For ratio 5

= 5/8 × 15000

= 9375

For ratio 3

= 3/8 × 15000

= 5625