Rewrite the equation 4x + 4y = 20 in slope-intercept form.

Answer:

It has no solution.

Step-by-step explanation:

I just did the test and got this right (as a matter of fact, I got 100% ^^)

It has no solution because no matter how much you multiply the two fractions to the left, it will always equal to 1/2, and 2/4, no matter how many times you multiply it, will always equal to 1/2 as well. Therefore, since those two cancel out, and the leftover numbers in the equation aren't the same, there is no possible solution for this equation.  

The solution is Option A.

The equation has no solutions

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( 3/4z ) - ( 1/(4z+1 ) ) = 2/ (4z + 1 )   be equation (1)

Adding ( 1/(4z+1 ) )  on both sides of the equation , we get

( 3/4z ) = ( 2 + 1 ) / (4z + 1 )

On further simplification , we get

( 3/4z ) = 3/(4z + 1 )

Divide by 3 on both sides of the equation , we get

1/4z = 1/( 4z+1 )

Taking reciprocals on both sides of the equation , we get

4z = 4z + 1

Subtracting 4z on both sides of the equation , we get

1 ≠ 0

Hence , the equation has no solutions

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Your Answer:

A.) 51 and 299

Step-by-step explanation:

In order to find out what other numbers are multiplied to obtain x, our unknown value, we must first square 175² - 124². 175² is equal to 30625 and 124² is equal to 15376. When we subtract 30625 and 15376, we get 15249. Now that we have found out our once unknown value, we will multiply the numbers from the list of choices to see which to values lead up to the product 15249. After multiplying 51 and 299, we find that they equal 15249, our desired answer.

Hope this helps y'all :D

Answer:

the answer is m=5/3, hope this really helps.

Answer:

slope:

slope-intercept form: y=x+

Step-by-step explanation:

Hope this helps!

Answer:

a) k should be equal to 3/16 in order for f to be a density function.

b) The probability that the measurement of a random error is less than 1/2 is 0.7734

c) The probability that the magnitude of a random error is more than 0.8 is 0.164

Step-by-step explanation:

a) In order to find k we need to integrate f between -1 and 1 and equalize the result to 1, so that f is a density function.

16k/3 = 1

k = 3/16

b) For this probability we have to integrate f between -1 and 0.5 (since f takes the value 0 for lower values than -1)

c) For |x| to be greater than 0.8, either x>0.8 or x < -0.8. We should integrate f between 0.8 and 1, because we want values greater than 0.8, and f is 0 after 1; and between -1 and 0.8.

(a) The value of k that makes f(x) a valid density function is k = 1/6.

(b) The probability that a random error in measurement is less than 1/2 is 3/4.

(c) The probability that the magnitude of the error exceeds 0.8 is 1/4.

(a) To make the given function f(x) a valid probability density function, it must satisfy the following conditions:

The function must be non-negative for all x: f(x) ≥ 0.

The total area under the probability density function must equal 1: ∫f(x)dx from -1 to 1 = 1.

Given , -1 ≤ x ≤ 1, and f(x) = 0 elsewhere, let's find the value of k that satisfies these conditions.

Non-negativity: The function is non-negative for -1 ≤ x ≤ 1, so we have ≥ 0 for -1 ≤ x ≤ 1. This means that k can be any positive constant.

Total area under the probability density function: To find the value of k, integrate f(x) over the interval [-1, 1] and set it equal to 1:

∫[from -1 to 1] = 1

∫[-1, 1] = 1

Now, integrate the function:

from -1 to 1 = 1

Simplify:

[3k - k/3 + 3k + k/3] = 1

6k = 1

k = 1/6

So, the value of k that makes f(x) a valid density function is k = 1/6.

(b) To find the probability that a random error in measurement is less than 1/2, you need to calculate the integral of f(x) from -1/2 to 1/2:

P(-1/2 ≤ X ≤ 1/2) = ∫[from -1/2 to 1/2] f(x)dx

P(-1/2 ≤ X ≤ 1/2) = ∫[-1/2, 1/2] (1/6)

Now, integrate the function:

from -1/2 to 1/2

Simplify:

(1/6)[(3/2 - 1/24) - (-3/2 + 1/24)]

(1/6)[(9/8) + (9/8)]

(1/6)(18/8)

(3/4)

So, the probability that a randomerror in measurement is less than 1/2 is 3/4.

(c) To find the probability that the magnitude of theerror (|x|) exceeds 0.8, you need to calculate the probability that |X| > 0.8. This is the complement of the probability that |X| ≤ 0.8, which you can calculate as:

P(|X| > 0.8) = 1 - P(|X| ≤ 0.8)

P(|X| > 0.8) = 1 - P(-0.8 ≤ X ≤ 0.8)

We already found P(-0.8 ≤ X ≤ 0.8) in part (b) to be 3/4, so:

P(|X| > 0.8) = 1 - 3/4

P(|X| > 0.8) = 1/4

So, the probability that the magnitude of the error exceeds 0.8 is 1/4.

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Answer:

-13 3/10

Step-by-step explanation:

.3 is a tenth in the decimal place so put the three over ten, and keep the -13 as a whole number, -13 3/10

In order to prove a conjecture is always true is formal proof.

We have given that,

A.) a formal proof

B.) a counter-example

C.) several true examples

D.) an informal proof

We have to prove a conjecture is always true

In order to prove a conjecture is always true, you must show formalproof.

What is the conjecture?

A conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.

Therefore the first option is correct.

In order to prove a conjecture is always true is formal proof.

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Answer: A- a formal proof

Step-by-step explanation:

just is