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3 years ago

If 8x=-4(x+3) then x equals

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

5 0

Answer:

-1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=−1

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Candice plotted the points (2, 15) and (0, -1) and then drew a line through these two points. What is the slope of the line she

FrozenT [24]

Use the slope equation: $\frac{y2-y1}{x2-x1}$

Plug in the points (2, 15) and (0, -1).
$\frac{-1-15}{0-2}$ ⇒ $\frac{-16}{-2}$ = 8

The slope of the line is 8.

7 0

2 years ago

The measure of the angle of depression from the top of a 270 m building tweet park bench on the ground is 63° 43’.How far Where

Norma-Jean [14]

Answer:

547 m

Step-by-step explanation:

Given :

Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°

The height, h = 270

The distance of park bench from the building, d is given by :

Tan θ = opposite / Adjacent

Tan 63.7167 = d / 270

d = 270 * Tan 63.7167

d = 546.70459

d, distance of Park bench from building is 547 m

8 0

2 years ago

Which value of "a" would make the following statement true? 6(2x+a)=12x+30

Serga [27]

Answer:

A) 5

Step-by-step explanation:

6(2x+a)=12x+30

6*2x+6*a=12x+30

12x+6x=12x+30

6a=12x+30-12x

6a=30

a=30/6

a=5

8 0

2 years ago

Read 2 more answers

What is the simplified form of x+2/x^2-3x-10 * x-3/x^2+x-12

Vinvika [58]

I mean based on your possible answers, the third one is correct,but you can go further that that, in the steps i will note when you've came to the "answer"

$\frac{x + 2}{ {x}^{2} - 3x - 10 } \times \frac{x - 3}{ {x}^{2} + x - 12 }$
$\frac{x + 2}{ {x}^{2} + 2x - 5x - 10 } \times \frac{x - 3}{ {x}^{2} + 4x - 3x - 12 }$
$\frac{x + 2}{x(x + 2) - 5(x + 2)} \times \frac{x - 3}{x(x + 4) - 3(x + 4)}$
$\frac{x + 2}{(x + 2) \times (x - 5)} \times \frac{x - 3}{(x + 4) \times (x - 3)}$
$\frac{1}{(x + 4) \times (x + 5)}$
and basically that's the "answer", but you can simplify more.

$\frac{1}{ {x}^{2} + 4x - 5x - 20}$
$\frac{1}{ {x}^{2} - x - 20 }$
Hope that's helpful

3 0

3 years ago

There are four activities on the critical path, and they have standard deviations of 1, 2, 4, and 2. what is the probability tha

Sauron [17]

The expected completion time is μ = 40 weeks.
The random variable, X = 38 weeks (the probable time)

If the standard deviation is σ, then the z-score is z = (x - μ)/σ.

Let us test the given standard deviations.
When σ=1,
z = (38-40)/1 = -2
From standard tables,
P(x<=38) = P(z<=-2) = 0.0228 =2.3%

When σ=2,
z = (38*40)/2 = -1
P(x<=38) = P(z<=-1) = 0.1587 = 15.9%

When σ=4,
z = (38-40)/4 = -0.5
P(x<=38) = P(z<=-0.5) = 0.3085 = 30.9%

Answers:
z=1 => 2.3%
z=2 => 16% (approx)
z=4 => 31% (approx)

7 0

2 years ago