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3 years ago

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Which expressions are equivalent? 3x + 5x and 8x 3(x + 4) and 3x + 12 a + b + a and 2a + b 18x + 2y and 15x + 3x + 2x 3a + 4a +

10 and 17a

1 answer:

just olya [345]3 years ago

8 0

Answer: 3x+5x and 8x, 3(x+4) and 3x+12, a+b+a and 2a+b

Step-by-step explanation:

3x+5x is equal to 8x, so they're equivalent

3(x+4) is also equal to 3x+12 when you use the distributive property

a+b+a is also equivalent 2a+b

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A coordinate plane with a line passing through the points (negative 4, negative 5) and (1, negative 1).

Ksju [112]

Answer:

4x - 5y - 9 = 0

$\frac{9}{4}$

$\frac{-9}{5}$

Step-by-step explanation:

The equation of a straight line passing through the points (-4,-5) and (1,-1) is given by $\frac{y - (-5)}{-5-(-1)} =\frac{x-(-4)}{-4-1}$

⇒ $\frac{y+5}{-4} =\frac{x+4}{-5}$

⇒ 5y + 25 = 4x + 16

⇒ 4x - 5y - 9 = 0 ....(1) (Answer)

Now, this above equation can be represented as

$\frac{x}{\frac{9}{4} } + \frac{y}{\frac{-9}{5} } =1$

Therefore, the x-intercept is $\frac{9}{4}$ (Answer)

And the y-intercept is $\frac{-9}{5}$ . (Answer)

7 0

3 years ago

Read 2 more answers

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slamgirl [31]

Answer:

interval = [17.3948 , 20.6052]

Step-by-step explanation:

given,

random sample (n) = 45

average product lifespan = 19 years

standard deviation = 4 years

confidence interval of 99 % = ?

we know,

t* = qt(1.99/2 + 44 ) = qt(0.995,44)

t* = 2.692

so,

interval

$x = 19 \pm t* \times (\dfrac{s}{\sqrt{n}})$

$x = 19 \pm 2.692 \times (\dfrac{4}{\sqrt{45}})$

$x = 19 \pm 2.692 \times 0.5963$

$x = 19 \pm 1.6052$

interval = [19 - 1.6052 , 19 + 1.6052]

interval = [17.3948 , 20.6052]

4 0

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Molly had a $12 gift card to download music. She bought 8 songs that each cost the same amount. Write a variable equation, then

Ghella [55]

Answer:

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Step-by-step explanation:

Let

x ------> amount that Molly paid for each song

we know that

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so

The linear equation that represent this problem is

$8x=12$

Solve for x

Divide by 8 both sides

$x=12/8$

$x=\$1.5$

Molly paid for each song $1.5

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