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Leno4ka [110]
2 years ago
12

Can someone plz help me with this one problem

Mathematics
2 answers:
bulgar [2K]2 years ago
8 0

Answer:

Yes

Step-by-step explanation:

I´m pretty sure but not 100% sure

sveticcg [70]2 years ago
4 0
Yes could be wrong sorry if it is
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Please help!! I’m stuck on this
beks73 [17]

Answer:

B.  x = -4\,\lor \,x = -1

Step-by-step explanation:

Let \sqrt{-4-5\cdot x} = x, we solve for x by algebraic means.

1) \sqrt{-4-5\cdot x} = x Given

2) -4-5\cdot x = x^{2} Definition of power/Symmetry of equality

3) x^{2}+5\cdot x + 4 = 0 Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) (x+4)\cdot (x+1) = 0         x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)

5) x = -4\,\lor \,x = -1 Result

Hence, the correct answer is B.

7 0
2 years ago
Expand using the properties and rules for logarithms
malfutka [58]

Consider expression \log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right).

1. Use property

\log_a\dfrac{b}{c}=\log_ab-\log_ac.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2.

2. Use property

\log_abc=\log_ab+\log_ac.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2.

3. Use property

\log_ab^k=k\log_ab.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2.

4. Use property

\log_{a^k}b=\dfrac{1}{k}\log_ab.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{2^{-1}}2=\\ \\=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+\log_22=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+1.

Answer: correct option is B.

7 0
3 years ago
A student is decorating a circular picture frame that has a diameter of 8 inches. How many inches of fabric will the student nee
Akimi4 [234]

Answer:

B

Step-by-step explanation:

Circumference is equal to \pi d

C=\pi d

C=\pi \times 8

7 0
3 years ago
Many 2/3 are in 9/8?"
77julia77 [94]

Answer:

1.6875   2/3's are in 9/8.

Step-by-step explanation:

(9/8)/(2/3)=1.6875

5 0
2 years ago
The range is the set of. A. Ordered pairs. B.second coordinates. C. First coordinates.
taurus [48]
I think the range is the set of ordered pairs
5 0
3 years ago
Read 2 more answers
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