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zhannawk [14.2K]
3 years ago
11

Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the correct solution?

Mathematics
1 answer:
kozerog [31]3 years ago
6 0
I think the answer is D.
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How many pounds are in 38.4 ounces
jeka94
2.4 pounds ............................................
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Are the two triangles below similar? Triangles GHI and JKL are shown. Angle G equals 46 degrees, Angle I equals 27 degrees, Angl
Scilla [17]

Answer:  No; they do not have proportional corresponding sides

Step-by-step explanation:

Since, here in triangles GHI and JKL,

∠ G = 46°, ∠I = 27° ⇒ ∠H = 107° , ∠L = 27°, ∠ K = 108°⇒∠J = 45°

GH = 4, HI = 5 , KJ= 2 and JL = 4

Here ∠I ≅ ∠L

But,  \frac{GH}{JK} \neq \frac{HI}{JL}

Therefore, they do not have proportional corresponding sides.

That is why they are not similar to each other.



8 0
3 years ago
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Help help help help ​
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Answer:

9:4

Step-by-step explanation:

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A full lake begins dropping at a constant rate. After 4 weeks it has dropped 3 feet. What is the unit rate of change in the lake
Valentin [98]
<span>A full lake is dropping at its constant rate, meaning it is unchanging over time.
After 4 weeks’ time, it already dropped 3 feet.
Now, let’s solve for the Unit rate based on the given data.
=> 3 feet in 4 weeks
=> Unit rate is 3 feet per 4 weeks
=> in 4 weeks there are (7 * 4) = 28 days
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7 0
3 years ago
A doctor estimates that a particular patient is losing bone density at a rate of 3% annuallythe form f(x)=ab^ x , where f(x) rep
Sonbull [250]

The question above is incomplete

Complete Question

A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg³. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = ab^x, where f(x) represents the bone density after x years?

Answer:

a = 1500

b = 0.97

f(x) = ab^x

f(x) = 1500(0.97)^x

f(x) = 1500 × 0.97^x

Step-by-step explanation:

We are to find a and b

This question has to do with exponential decay.

This is written as

y = a(1 - r)^x

f(x) = ab^x

r = rate of exponential decay

f(x) = y

a = a

b^x = (1 - r)^x

a = current bone density of the patient = 1500kg/m³

b = (1 - r)

r = 3% = 0.03

b = (1 - 0.03)

b = 0.97

Therefore,

a = 1500

b = 0.97

Hence:

f(x) = ab^x

f(x) = 1500(0.97)^x

f(x) = 1500 × 0.97^x

8 0
3 years ago
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