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3 years ago

What is the equation for a line with a slope of 2/3 that goes through (1, -3)?

Mathematics

1 answer:

7nadin3 [17]3 years ago

6 0

Answer:

y=2/3x +b

-3=2/3(1)+b

b=-11/3

y=2/3x+(11/3)

y=2/3x-11/3

Step-by-step explanation:

Given the slope and one point on the line we use the formula above.

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Find the 4th term if the sequend in which a1 = 2 and a n+1 = -4a n + 2.

Gre4nikov [31]

The given sequence is
$a_{1}=2 \\
a_{n+1}=-4a_{n}+2$

Write the first 4 terms.
When n=1, obtain
a₁ = 2
When n=2, obtain
a₂ = -4a₁ + 2
= -4(2) + 2 = -8 + 2
= -6
When n=3, obtain
a₃ = -4a₂ + 2
= -4(-6) + 2 = 24 + 2
= 26
When n=4, obtain
a₄ = -4a₃ + 2
= -4(26) + 2 = -104 + 2
= -102

Answer: a₄ = -102

3 0

4 years ago

80 volunteers take a meningitis test to help doctors see how accurate this test is at identifying whether someone has meningitis

lubasha [3.4K]

Using it's formula, considering the results, it is found that the accuracy of the test is of 0.95 = 95%.

<h3>What is the accuracy of a test?</h3>

It is given by the <u>number of correct results divided by the number of tests</u>.

In this problem, there were 80 tests, of which 80 - 2 - 2 = 76 had correct results, hence the accuracy is given by:

A = 76/80 = 0.95 = 95%.

More can be learned about the accuracy of a test at brainly.com/question/3128152

#SPJ1

4 0

2 years ago

What is 745 x 87 help me plz

Nostrana [21]

Answer:

64815

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Name the line and plane shown in the diagram. A.AB and plane ABD B.BA and plane DC C.AC and plane ABD D.AB and plane DA

elena-14-01-66 [18.8K]

Answer: The line is AB and the plane is ABD, the first option is the correct one.

Step-by-step explanation:

Ok, first some definitions.

A line is any line that crosses two colinear points. Particularly, you can see in the graph that the line crosses through A and B, so the line is AB.

A plane needs 3 non-colinear points (if the points where colinear, then the points may define a line). Other definition of plane is "a line and a point that is not in the line"

So, if our line is AB, then the possible planes are:

ABC and ABD.

then the correct option is:

Line AB and plane ABD, so the correct option is the first one.

6 0

3 years ago

What is the radical form of each of the given expressions?

earnstyle [38]

Answer:

$6^{\frac{1}{5} }=\sqrt[5]{6}$

$6^{\frac{7}{5} }=\sqrt[5]{6^7}$

$6^{\frac{1}{6} }=\sqrt[6]{6}$

$7^{\frac{1}{2} }=\sqrt[2]{7}$

$7^{\frac{5}{2} }=\sqrt[2]{7^5}$

$6^{\frac{9}{2} }=\sqrt[2]{6^9}$

Step-by-step explanation:

A radical is the root operation for n roots such as square root or cuberoot in the form $\sqrt[n]{x}$ . A fraction exponent $x^{m/n}$ can be converted to the radical form.

$6^{\frac{1}{5} }=\sqrt[5]{6}$

$6^{\frac{7}{5} }=\sqrt[5]{6^7}$

$6^{\frac{1}{6} }=\sqrt[6]{6}$

$7^{\frac{1}{2} }=\sqrt[2]{7}$

$7^{\frac{5}{2} }=\sqrt[2]{7^5}$

$6^{\frac{9}{2} }=\sqrt[2]{6^9}$

7 0

3 years ago