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viktelen [127]
2 years ago
6

Write the equation of a line that has a slope of -1/3 and an x-intercept of 6

Mathematics
2 answers:
posledela2 years ago
8 0

Answer:

y=-1/3+6

Step-by-step explanation:

By x-intercept do you mean y-intercept?

Zigmanuir [339]2 years ago
4 0

Answer:

y = -1/3x + 2

Step-by-step explanation:

y = -1/3x + b

insert the x-intercept to find b

0 = -1/3(6) + b

0 = -2 + b

b = 2

y = -1/3x + 2

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alexira [117]

Answer:

x = 2, 1 + 3i, 1 − 3i

Step-by-step explanation:

Find the Roots (Zeros)

x^4 − 6x^3 + 22x^2 − 48x + 40

Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0

Solve for x.

Factor the left side of the equation.

Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

(x − 2) (x^3 − 4x^2 + 14x − 20) = 0

 Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.

(x − 2) (x − 2) (x2 − 2x + 10) = 0

 Combine like factors.

(x − 2)2 (x^2 − 2x + 10) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

(x − 2)^2 = 0

x^2 − 2x + 10 = 0

 Set (x − 2)^2 equal to 0 and solve for x.

Set (x − 2)^2 equal to 0.

 (x − 2)^2 = 0

Solve (x − 2)^2 = 0 for x.

x = 2

 Set x^2 − 2x + 10 equal to 0 and solve for x.

Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

Solve x^2 − 2x + 10 = 0 for x.

Use the quadratic formula to find the solutions.

−b ± (√b^2 − 4 (ac) )/2a

Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.

2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1

Simplify.

Simplify the numerator.

  x =    2 ± 6i/ 2.1

Multiply 2 by 1

 x =  2 ± 6i/2⋅1

 Simplify

  2 ± 6i/2  

   x = 1 ± 3i

The final answer is the combination of both solutions.

x = 1 + 3i, 1 − 3i

The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.

x = 2, 1 + 3i, 1 − 3i

3 0
3 years ago
Someone please explain how to do this problem? :)<br><br> Factor completely 2c5 + 44c4 + 242c3.
frez [133]
<span><span><span>2<span>c5</span></span>+<span>44<span>c4</span></span></span>+<span>242<span>c3</span></span></span><span><span><span>2<span>c5</span></span>+<span>44<span>c4</span></span></span>+<span>242<span>c3</span></span></span><span>=<span><span><span>2<span>c3</span></span><span>(<span>c+11</span>)</span></span><span>(<span>c+11</span><span>)</span></span></span></span>
8 0
3 years ago
Read 2 more answers
H(x)=4x+4 find h(3b)
Lubov Fominskaja [6]

Answer:

h(3b)=12b+4

another answer

h(3b)=4(3b+1)

Step-by-step explanation:

h(x)=4x+4

h(3b)=4(3b)+4

h(3b)=12b+4

if need to simplify..then:

h(3b)=4(3b+1)

4 0
3 years ago
You have determined that a statistical study is biased. What does this mean? A. Errors were made in data collection. B. Particip
Natasha2012 [34]

Answer:

Participants were lead to respond in a specific way.

Explanation:

Bias (the verb) is to show influence or prejudice about a certain thing and can cause people to change how they act or what they do.

3 0
2 years ago
Help me please......... ​
Rama09 [41]

Answer:

1. true 2. true 3.true 4. false 5. false

Step-by-step explanation: 4/4-3/4 is 1/5. You multiply the top first (4-3=1) and the bottom isn't supposed to change. so the answer is 1/4

5 0
2 years ago
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