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3 years ago

Find the intervals of DECREASING only and write in below in interval notation.

Mathematics

1 answer:

Grace [21]3 years ago

8 0

Answer:

(-1,0)

Step-by-step explanation:

It is decreasing when the "slope" of the function is negative. That only happens on the blue curve from x = -1 to x = 0. In interval notation, that's (-1,0)

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Please write in slope intercept form I’m struggling <br><br> y+4=-7(x-3)

klemol [59]

Answer:

y = -7x + 17

Step-by-step explanation:

you want to isolate the 'y' variable, start by distributing -7 on the right side

y + 4 = -7x + 21

now subtract 4 from each side

y = -7x + 17

8 0

3 years ago

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A lake has a population of a rare endangered fish. The lake currently has a population of 14 fish. The number of fish is increas

alex41 [277]

14^ 0.08t = 56.

From here, you can rewrite it as log base 14 argument 56 = 0.08t.

When you plug it in t is about 19

Answer: ≈19 years

4 0

2 years ago

☆pls help no one has helped me and I'm so confused!

motikmotik

Answer:

Step-by-step explanation:

a). $\frac{5\pm\sqrt{-4}}{3}$ = $\frac{5}{3}\pm \frac{\sqrt{-4}}{3}$

= $\frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}$

= $\frac{5}{3}\pm\frac{2i}{3}$ [Since, i = $\sqrt{(-1)}$ ]

b). $\frac{10\pm\sqrt{-16}}{2}$ = $\frac{10}{2}\pm \frac{\sqrt{-16}}{2}$

= $5\pm \frac{4\sqrt{-1}}{2}$

= 5 ± 2i [Since, i = $\sqrt{(-1)}$ ]

c). $\frac{-3\pm \sqrt{-144}}{6}$ = $-\frac{3}{6}\pm \frac{\sqrt{-144}}{6}$

= $-\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}$

= $-\frac{1}{2}\pm 2\sqrt{-1}$

= $-\frac{1}{2}\pm 2i$ [Since, i = $\sqrt{(-1)}$ ]

4 0

3 years ago

An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b = 2500 ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115 ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a = $500

Put this value of a in eq 1

500 + b = 2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0

3 years ago

Elizabeth swims 50 feet in ten seconds. Jesse swims 110 feet in 20 seconds.

erica [24]

Answer: Jesse

Step-by-step explanation:

Elizabeth - 50f/10s

Jesse - 55f/10s

Reagan - 53.3333333/10s

Jesse is the fastest

5 0

3 years ago

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