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Leni [432]
3 years ago
8

Which function is increasing?? :)

Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

\large\boxed{B.\ f(x)=4^x}

Step-by-step explanation:

Exponential function f(x)=(a)^x is

increasing if a > 1\to a\in(1,\ \infty)

decreasing if 0 < a < 1\to a\in(0,\ 1)

A.\ f(x)=\left(\dfrac{1}{4}\right)^x\to a=\dfrac{1}{4}\in(0,\ 1)\to\text{decreasing}\\\\B.\ f(x)=4^x\to a=4\in(1,\ \infty)\to\text{increasing}\\\\C.\ f(x)=(0.4)^x\to a=0.4\in(0,\ 1)\to\text{decreasing}\\\\D.\ f(x)=\left(\dfrac{1}{2}\right)^x\to a=\dfrac{1}{2}\in(0,\ 1)\to\text{decreasing}

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Solve the system of equations.
Tom [10]

Easiest method you can apply (Cramer's one). <em>"</em><em>Thanks</em><em> </em><em>me</em><em>"</em><em> </em>if i've been helpful

6 0
3 years ago
Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
Dmitriy789 [7]

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

8 0
3 years ago
What would the answer be for this equation 7x/20 - 5x/12
polet [3.4K]

Answer:

\frac{1}{15} x

Step-by-step explanation:

\frac{7x}{20}  -  \frac{5x}{12}

\frac{3 \times 7x}{3 \times 20}  -  \frac{5 \times 5x}{5 \times 12}

\frac{21x}{60}  -  \frac{25x}{60}

\frac{21x - 25x}{60}  = (21 - 25)x =  - 4x

\frac{ - 4x}{60}  =  -  \frac{ x}{15}

\boxed{\green{=  \frac{1}{15} x}}

4 0
2 years ago
Thor invests $3000 in an account, with interest compounded continuously. If his investment doubles in value after 7.2 years, wha
sladkih [1.3K]

Answer:

B.  9.6 %.

Step-by-step explanation:

A = P e^rt

His investment doubles so it comes to  3000 * 2 = $6000.

Substituting in the formula>

6000 = 3000e^7.2r   ehere r  is the interest rate.

e^7.2r = 2

Taking logs

7.2r = ln 2

r = ln2 / 7.2

r = 0.096

So the rate is 9.6%.

8 0
2 years ago
Liwen and Celina shared some plants in a ratio of 5:6. Celina decided to give Liwen 2/3 of her plants, which left her with 21 fe
djyliett [7]

Answer: 231

<u>Explanation:</u>

Liwen    Celina

   5x          6x

5x - 21 = (\frac{2}{3})6x

5x - 21 = 4x

<u>-4x +21</u>   <u>-4x +21 </u>

  x        =        21


Liwen: 5x   = 5(21)   = 105

Celina: 6x   = 6(21)   =<u> 126</u>

                       Total:   231                    

6 0
3 years ago
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