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3 years ago

What is the y-intercept of the linear equation x-1/2y=-6? a) –6 b) –3 c) 0 d) 12

Mathematics

1 answer:

Lisa [10]3 years ago

8 0

Answer:

$\large\boxed{d)\ 12}$

Step-by-step explanation:

$x-\dfrac{1}{2}y=-6\\\\\text{y-intercept is for x = 0. Substitute:}\\\\0-\dfrac{1}{2}y=-6\\\\-\dfrac{1}{2}y=-6\qquad\text{multiply both sides by (-2)}\\\\\left(-2\!\!\!\!\diagup^1\right)\left(-\dfrac{1}{2\!\!\!\!\diagup_1}y\right)=(-2)(-6)\\\\y=12$

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What is the product? (4x)(-3x^8)(-7x^3) 1. -84x^12 2. -84x^24 3. 84x^12 4. 84x^24

Rudik [331]

Answer:

84 x^12

Step-by-step explanation:

(4x)(-3x^8)(-7x^3)

Multiply the numbers

4*-3 *-7 = 84

x* x^8 * x^3 = Add the exponents = x^(1+8+3) = x^12

84 x^12

5 0

3 years ago

Read 2 more answers

Radon: The Problem No One Wants to Face" is the title of an article appearing in Consumer Reports. Radon is a gas emitted from t

brilliants [131]

Answer:

a) $\bar{x}$ =4.63 md=4.55 mo= 1.9 b) Sample Standard Deviation≈ 2.58 Coefficient of Variation=55.72% Sample Range=6.9

Step-by-step explanation:

Mean

$a)\bar{x}=\frac{1.9+ 2.3+ 5.7+ 5.2+ 1.9+ 8.8+ 3.9+ 7.3}{8} =\frac{37}{8}=4.625=\approx 4.63$

For the Median, we have to order the entries. So, ordering it goes:

1.9 1.9 2.3 3.9 5.2 5.7 7.3 8.8

Since we have even entries $\frac{\frac{n}{2}+\frac{n}{2} +1}{2}=\frac{4th+5th}{2}=\frac{3.9+5.2}{2}=4.55$

mode

The mode for this data 1.9 1.9 2.3 3.9 5.2 5.7 7.3 8.8 is 1.9

Sample Standard Deviation

Here it is the formula to calculate it:

$_{x}=\sqrt{\frac{\sum (x_{i}-\bar{x})^{2}}{n-1}}\\ S_{x}=\sqrt{\frac{46.855}{7}}\approx 2.58$

Coefficient of Variation

CV is the quocient between sample Standard deviation over Mean and it is used to make comparisons.

$CV=\frac{S_x}{\bar{x}}*100%=\frac{2.58}{4.63} \approx 55.72%$

Range

The difference between the highest and the lowest value of this sample

8.8-1.9=6.9

4 0

3 years ago

Solve the inequality −4y + 6 < −14. A. y ≤ 5 B. y > 2 C. y < 5 D. y > 5

11111nata11111 [884]

The answer would be .............
y>5

5 0

3 years ago

Rewrite this in its simplest form (please, doing an algebra 2 test)

yan [13]

Step-by-step explanation:

the answer is a,hope it helps

4 0

3 years ago

PLEASE HELP ME AND MY FRIEND NEED THIS QUESTION ANSWERED PLEASE HELP

Bas_tet [7]

Answer:

$V_{cone} =65.94\: cm^3$

Step-by-step explanation:

Height of cone (h) = 7 cm

Base radius (r) = 3 cm

Formula for Volume of cone is given as:

$V_{cone} = \frac{1}{3}\pi r^2h$

Plugging the values of h and r in the above formula, we find:

$V_{cone} = \frac{1}{3}(3.14) (3)^2(7)$

$\implies V_{cone} = \frac{1}{\cancel 3}(3.14) (\cancel 9)(7)$

$\implies V_{cone} = (3.14) (3)(7)$

$\implies V_{cone} =65.94\: cm^3$

7 0

2 years ago