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jek_recluse [69]
3 years ago
13

Solve each of these equations. 1. 2(x+5)=3x+1 2. 3y−4=6−2y 3. 3(n+2)=9(6−n)

Mathematics
1 answer:
Anastasy [175]3 years ago
6 0

Answer:

1. x=9

2. y=2

3. n=4

hello just helping out!

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Two lines are parallel if and only if their slopes are equal. Write two if-then statement that are implied by this thesis statem
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If and only if (iff) statements are true if only both statements are true of both are false, its double implied.
Here are the implications:
If two lines are parallel then their slopes are equal.
If the slopes of two lines are equal then they are parallel.
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Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x-y=7.
DedPeter [7]
The slope-intercept form of x - y = 7 is y = x - 7. The slope of that line is 1. That means the slope of the line that also goes through (1, 0) is also 1. If you use the point-slope formula, the answer you will receive is y = x - 1.
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How would you write the equation with a slope of 2/3 and a y-intercept of -3
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The answer is B. Y= (2/3)X - 3
8 0
2 years ago
Read 2 more answers
Find an explicit formula for f(n). ​
soldi70 [24.7K]

Answer:

f(n) = 2n - 2

Step-by-step explanation:

Given the recursive formula

f(n) = f(n - 1) + 2 with f(1) = 0, then

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

The terms of the sequence are 0, 2, 4, 6, ....

These are the first 4 terms of an arithmetic sequence with explicit formula

f(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here d = 2 - 0 = 4 - 2 = 6 - 4 = 2 and a₁ = 0, thus

f(n) = 0 + 2(n - 1), that is

f(n) = 2n - 2 ← explicit formula

5 0
3 years ago
A screening test wished to improve the diagnostic ability to identify Zika-infected fetuses in pregnancy rather than after birth
12345 [234]

Answer:

Sensitivity = 66.7%  (C)

specificity= 98.0%  (E)

positive predictive value = 80.0%  (F)

Negative predictive value = 96.0%  (D)

accuracy of the test  = 94.5%  (A)

Step-by-step explanation:

Given the data in the question;

                                    Disease Present              Disease Absent        Total

Test Positive                      24                                        6                        30

Test Negative                    12                                       288                     300

Total                                   36                                       294                    330

so A = 24, B = 6, C = 12 and D = 288

sensitivity = [A/(A+C)]×100 = [24/(24+12)]×100 = [24/36]×100

Sensitivity = 66.7%  (C)

specificity= [D/(D+B)]×100 = [288/(288+6)]×100 = [288/294]×100

specificity= 98.0%  (E)

positive predictive value = [A/(A+B)]×100 = [24/(24+6)]×100

= [24/30]×100

positive predictive value = 80.0%  (F)

Negative predictive value = [D/(D+C)]×100 = [288/(288+12)]×100

= [288/300]×100

Negative predictive value = 96.0%  (D)

accuracy of the test = [A+D/(A+B+C+D)]×100 = [24+288/(24+6+12+288)]×100

= [312/330]×100

accuracy of the test  = 94.5%  (A)

Nothing 33.3% (B)

6 0
3 years ago
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