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trapecia [35]
3 years ago
5

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) <br>1. -84x^12 <br>2. -84x^24 <br>3. 84x^12 <br>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:

a)

<u>Mean</u>

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 <u>Median</u>, 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

b)

<u>Sample Standard Deviation</u>

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

<u>Coefficient of Variation</u>

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%

<u>Range</u>

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 &lt; −14. A. y ≤ 5 B. y &gt; 2 C. y &lt; 5 D. y &gt; 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
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