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MrMuchimi
3 years ago
7

X²-7=0 extracting square roots​

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

x = ± \sqrt{7}

Step-by-step explanation:

Given

x² - 7 = 0 ( add 7 to both sides )

x² = 7 ( take the square root of both sides )

x = ± \sqrt{7}

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the gi
STatiana [176]

Answer:

To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^{-1}(x)= \frac{ln\ x+4}{2}

Step-by-step explanation:

Data provided in the question

f(x) = e^2x - 4

Now

to find the inverse let

So,

y = e^2x - 4

Now

Replace x and y

Therefore

x = e^2y - 4

Now compute the value of y

So,

x + 4 = e^2y

Now take ln on both sides:

The equation is

ln(x+4) = ln(e^2y)

ln(x+4) = 2y

y = ln(x+4) ÷ 2

f^{-1}(x)= \frac{ln\ x+4}{2}

Therefore,  To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^{-1}(x)= \frac{ln\ x+4}{2}

5 0
3 years ago
Hellppp pleaseee<br><br> Please be quick lol
Elza [17]

Answer:

20(pi)

Step-by-step explanation:

• equation for the circumference of a circle= 2(pi)r

• You are given the diameter ( 20ft) but you need the radius (r) for the equation.

• divide 20 by 2 to get the radius since it is half of the diameter.

• 20/2=10 so c= 2(pi)(10)

• 2(10)=20

• plug in pi and your final answer is 20(pi)

7 0
3 years ago
What is the volume of the triangular prism? Enter your answer in the box<br> ___mm^3
luda_lava [24]

Answer:

840mm^3

Step-by-step explanation:

V=(1/2)LWH

L=14

W=10

H=12

14*12*10=1680

Then divide by 2

840

8 0
3 years ago
Job A pays $13.00 per hour but has health benefits. Job B pays $11.00 per hour. Health insurance costs $3,400 per year. You expe
Nezavi [6.7K]

Answer:

a) Job A.

Step-by-step explanation:

Time, t = 2000 hours per year

Job A:

Salary = $13 per hour

Job B:

Salary = $11 per hour

Healfh insurance = $3400 per year

= $3400/2000

= $ 1.7 per hour

B:. Mb = $11 × 2000 = $22000

Health insurance costs 3400$ per year so while we are working our job A we have: so $11.3 × 2000 = $22600. So on job A we earn $600 per year more than on job B.

5 0
3 years ago
According to a recent survey of adults, approximately 62% carry cash on a regular basis. The adults were also
pochemuha

According to the probabilities given, it is found that the correct option regarding the independence of the events is given by:

No, P(carry cash) != P(carry cash|have children).

<h3>What is the probability of independent events?</h3>

If two events, A and B, are independent, we have that:

P(A \cap B) = P(A)P(B)

Which also means that:

P(A|B) = P(A)

P(B|A) = P(B)

In this problem, we have that:

  • 62% carry cash on a regular basis, hence P(cash) = 0.62.
  • 46% has children, hence P(children) = 0.46.
  • Of the 46% who have children, 85% carry cash on a regular basis, hence P(cash|children) = 0.85.

Since P(carry cash) != P(carry cash|have children), they are not independent.

More can be learned about the probability of independent events at brainly.com/question/25715148

6 0
2 years ago
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