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romanna [79]
3 years ago
11

I need help !!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

35

Step-by-step explanation:

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Which experssion is equivalent to 4 to the power of 6 times 4 to the power of negative 8?
PilotLPTM [1.2K]
4 to the power of negative two beacause u add the exponents 6+ negative 8
8 0
3 years ago
Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1
Lera25 [3.4K]
Assuming the function is

f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}

For f(x) to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)
\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)
\iff2=b+c

For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

f'(x)=\begin{cases}2&\text{for }x1\end{cases}

\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)
\iff2=2b+c

Now we solve for b and c:

\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2
5 0
3 years ago
Tammy knits blanket and scarves. On the first day of a craft fair, she sells 2 blankets and 5 scarves for $104
omeli [17]

Answer:

Cost of Blanket = 32

Step-by-step explanation:

Let the cost of a blanket be = b , cost of a scarf be = s. Blanket price x Blanket Quantity & Scarf Price x Scarf Quantity sum up to be total sales.

So, Day 1 : 2b + 5s = 104 (i)  , Day 2 : 3b + 4s = 128 (ii)

Solving equations : Multiplying (i) by 3 , & (ii) by 2 , we get

6b  +  15s    =   312 ,

(-)6b + (-)8s =  (-)256

By elimination method, 15s - 8s = 312 - 256 → 7s = 56 → s = 56 / 7 = 8 .

Putting s value in any equation i], 2b + 5 (8) = 104 → 2b + 40 = 104 → 2b = 104 - 40 = 64 → b = 64 / 2 = 32

3 0
3 years ago
For every 6 kg of a child's weight, pediatricians prescribe 7 mg of fever reducer. If Greg weighs 42 kg, how many milligrams
olya-2409 [2.1K]

Answer:

49mg

Step-by-step explanation:

let's call every 7 mg of fever reducer a "dose"

Divide the weight of Greg by the weight per "dose"

42/6 = 7 doses

Each "dose" is 7mg. Multiply the number of doses by 7mg.

7 dose X 7mg = 49mg

Therefore, if Greg weighs 42kg, the pediatrician will prescribe 49mg of fever reducer.

4 0
3 years ago
Read 2 more answers
The price of a car has been reduced from $16,500 to $11,055. What is the percentage decrease of the price of the car?
cupoosta [38]

Answer:

33%

Step-by-step explanation:

$16,500-$11,055= $5,445

$5,445÷$16,500= 0.33 which in percentage format is 33%

HOPE THIS HELPS! MARK BRAINLIEST PLEASE!!!!!

4 0
3 years ago
Read 2 more answers
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