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Morgarella [4.7K]
3 years ago
13

What is the remainder when (3x4 + 2x3 − x2 + 2x − 24) ÷ (x + 2)?

Mathematics
1 answer:
ziro4ka [17]3 years ago
5 0

Answer:

=38+x

Step-by-step explanation:

18-2+2x-24÷(x+2) =

16+2x-24-24÷(x+2)

24+16+2x

40+x+2

38+x

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Find the logarithmic function y = logbx that passes through the points
katovenus [111]

b\in(0,\ 1)\ \cup\ (1,\ \infty)\\x > 0\\y\in\mathbb{R}\\--------------------------\\\\y=\log_bx\\\\For\ (1,\ 0)\to x=1,\ y=0.\ Substitute:\\\\\log_b1=0\to b^0=1\to b\in(0,\ 1)\ \cup\ (1,\ \infty)\\\\For\ (116,\ 2)\to x=116,\ y=2.\ Substitute:\\\\\log_b116=2\to b^2=116\to b=\sqrt{116}\\\to b=\sqrt{4\cdot29}\to b=\sqrt4\cdot\sqrt{29}\to b=2\sqrt{29}\\\\For\ (4,\ -1)\to x=4,\ y=-1.\ Substitute:\\\\\log_b4=-1\to b^{-1}=4\to b=\dfrac{1}{4}

Different values of b.

<h3>Answer: There is no logarithmic function whose graph goes through given points.</h3><h3 />

Maybe the second point is \left(\dfrac{1}{16},\ 2\right)

Substitute:

\log_b\dfrac{1}{16}=2\to b^2=\dfrac{1}{16}\to b=\sqrt{\dfrac{1}{16}}\to b=\dfrac{1}{4}

<h3>Then we have the answer:</h3>

\boxed{y=\log_{\frac{1}{4}}x}

6 0
3 years ago
In the inequality, 3x&gt;9, can x=3?<br> Yes or no
seraphim [82]

Step-by-step explanation:

no

because it will become

3(3)>9

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it must be more than 9 unless the symbol is

\geqslant

4 0
3 years ago
AB = 6x + 2 and<br> BC = 5x + 3<br> Find AC.
uranmaximum [27]

Answer:

AC = 3x + 3 (answers may vary)

Step-by-step explanation:

AB = 6x + 2

Answers may vary for this question,

Let's say that,

B = 4x + 1

So that means that,

A = 2x + 1

BC = 5x + 3

Since we chose

B = 4x + 1,

we must subtract B from BC to get C,

C = x + 2

Now we add A and C to get AC,

A = 2x + 1

C = x + 2

AC = 3x + 3

5 0
3 years ago
If I have 5 plates and give 2 how many do I have
GuDViN [60]

Answer:

3

Step-by-step explanation:

if you have 5 plates and you subtract 2 then you have 3 plates left

5-2=3

4 0
3 years ago
Read 2 more answers
PLSSS HELP IF YOU TURLY KNOW THISS
Scrat [10]

Answer:x=42

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable

7 0
3 years ago
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