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4 years ago

8

Convert into slope-intercept form x+y=6

1 answer:

puteri [66]4 years ago

4 0

<h3>Answer: y = -x + 6</h3>

To get this answer, you subtract x from both sides to go from x+y = 6 to y = 6-x which rearranges to y = -x+6

Note that y = -x+6 is the same as y = -1x+6

We can compare this to y = mx+b form to see that m = -1 is the slope and b = 6 is the y intercept.

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For the function F(x) = 1/x, whose graph is shown below, what is the relative value of F(x) when the value of x is close to zero

Serhud [2]

Well think about it. If you divide by something less than 1, your number gets bigger.

$2 \div 0.1 = 20$

Same thing when it's negative, except now the answer is negative. So, if x gets really close to 0, it will be very big, or a big negative number. Remember, "getting close to 0" could mean from the negative side just as well from the positive.

5 0

3 years ago

I can understand the meaning (passive)<br>

iVinArrow [24]

Answer:

i know it bro

Step-by-step explanation:

The meaning is being understood by me.

brainliest

7 0

3 years ago

Read 2 more answers

HELP ASAP will give brainliest

Natalka [10]

Average rate of change is 0

Interpretation: The crop yield did not change from year 5 to year 15

<em><u>Solution:</u></em>

The function that models the yield is:

$f(x) = -x^2 + 20x + 75$

The average rate of change of f(x) from x = a to x = b is given by the formula:

$\text{ average rate of change }=\frac{f(b)-f(a)}{b-a}$

Find and interpret the average rate of change from year 5 to year 15

$f(5) = -(5)^2 + 20(5) + 75\\\\f(5) = -25 + 100 + 75\\\\f(5) = 150$

$f(15) = - (15)^2 + 20(15) + 75\\\\f(15) = -225 + 300 + 75\\\\f(15) = 150$

<em><u>Thus average rate of change:</u></em>

$\text {average rate of change}=\frac{f(15)-f(5)}{15-5}$

$\text {average rate of change}=\frac{150-150}{10}=0$

Thus Average rate of change is 0

Interpretation: The crop yield did not change from year 5 to year 15.

7 0

3 years ago

Read 2 more answers

Please help solve with step by step answer : 15 divided (-5) - (-10) <br> Thanks

ELEN [110]

Answer:

3

Step-by-step explanation:

First, simplify (-5) - (-10).

-5 + 10 = 5

So, 15 divided by 5 is 3

8 0

3 years ago

Using the laws of logic to prove tautologies.Use the laws of propositional logic to prove that each statement is a tautology.a.

Anika [276]

Answer: The proofs are given below.

Step-by-step explanation: We are given to prove that the following statements are tautologies using truth table :

(a) ¬r ∨ (¬r → p) b. ¬(p → q) → ¬q

We know that a statement is a TAUTOLOGY is its value is always TRUE.

(a) The truth table is as follows :

r p ¬r ¬r→p ¬r ∨ (¬r → p)

T T F T T

T F F T T

F T T T T

F F T F T

So, the statement (a) is a tautology.

(b) The truth table is as follows :

p q ¬q p→q ¬(p→q) ¬(p→q)→q

T T F T F T

T F T F T T

F T F T F T

F F T T F T

So, the statement (B) is a tautology.

Hence proved.

6 0

3 years ago