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3 years ago

What is the slope of the line 8x + 6y = 12?

Mathematics

2 answers:

anyanavicka [17]3 years ago

8 0

The slope of the line is -4/3

allsm [11]3 years ago

7 0

8x + 6y = 12

6y = -8x + 12

Divide the equation by 6,

y = -4/3x + 2

Now compare it with principle equation, y = mx + b

Where, Slope (m) = -4/3

In short, Your Answer would be: -4/3

Hope this helps!

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If BE = 2x + 2, BD = 5× - 3, and AE = 4× - 6, what are the values of x and AC?

hichkok12 [17]

Answer:

x = 7

AC = 44

Step-by-step explanation:

Find the diagram attached

According to the parallelogram,

BD = 2BE

5x-3 = 2(2x+2)

5x-3 = 4x+4

5x-4x = 4+3

x = 7

Hence the value of x is 7

Also AC = 2AE

AC = 2(4x-6)

AC = 8x - 12

AC = 8(7) - 12

AC= 56-12

AC = 44

Hence the measure of AC is 44

4 0

3 years ago

Three numerical expressions that are equivalent to (0.0004) x (0.005)

zzz [600]

Answer:

Numerical expression 1

$\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}$

Numerical expression 2

$\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}$

Numerical expression 3

$1 : 50000$

Step-by-step explanation:

Numerical expression 1

$\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}$

Numerical expression 2

$\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}$

Numerical expression 3

$1 : 50000$

4 0

2 years ago

Wat is 7x² + 4x - 5= 0

frosja888 [35]

Answer and workings in the attachment below.

4 0

3 years ago

Read 2 more answers

A shoe store is offering a 25% discount on all pairs of shoes in the store. Every store employee gets an addtional 15% off the a

sergeinik [125]

The amount an employee has to pay for a pair of shoes, is $56, but there is no $56 option, so the only other answer it could be is C. $57

3 0

3 years ago

The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 18, meaning that among

jeyben [28]

Answer:

(a) The value of P (None) is 0.062.

(b) The value of P(at least one) is 0.938.

(d) The event is not unusual.

Step-by-step explanation:

Let X = number of households watching the show.

The probability of the random variable x is, P (X) = p = 0.18.

The sample selected for the survey is of size, n = 14

The random variable X follows a Binomial distribution with parameter n = 14 and p = 0.18.

The probability of a Binomial distribution is computed using the formula:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,...$

(a)

Compute the probability that none of the households are tuned to CSI: Shoboygan as follows:

$P(X=0)={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}=1\times1\times0.06214=0.062$

Thus, the value of P (None) is 0.062.

(b)

Compute the probability that at least one household is tuned to CSI: Shoboygan as follows:

P (X ≥ 1) = 1 - P (X < 1)

= 1 - P (X = 0)

$=1-0.062\\=0.938$

Thus, the value of P(at least one) is 0.938.

(c)

Compute the probability that at most one household is tuned to CSI: Shoboygan as follows:

P (X ≤ 1) = P (X = 0) + P (X = 1)

$={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}+{14\choose 1}(0.18)^{1}(1-0.18)^{14-1}\\=0.062+0.191\\=0.253$

Thus, the value of P(at most one) is 0.253.

(d)

An event that has a very low probability of occurrence is known as an unusual event.

The probability of the event "at most one household is tuned to CSI: Shoboygan" is 0.253.

This probability value is not low.

Hence, the event is not unusual.

5 0

3 years ago