Find the equation of the linear function represented by the table below in slope- intercept form. -4 18 1 -2 6 -22 11 -42

What is the Slope of the line

vampirchik [111]

Answer:

$m=\frac{-3}{4}$

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Simply plug in 2 coordinates into the slope formula to find slope m:

$m=\frac{-4-(-1)}{5-1}$

$m=\frac{-4+1}{4}$

$m=\frac{-3}{4}$

5 0

3 years ago

LOOK AT PICTURE. VOLUME OF CAN PROBLEM

adoni [48]

Answer:

The correct answer is third option. 994

Step-by-step explanation:

Points to remember

Volume of cylinder = πr²h

Where 'r' is the radius and 'h' is the height of cylinder

From the given question we get the cylinder height and radius

The height h = 3 times the diameter of one ball

= 3 * 7.5 = 22.5 cm

Radius = half of the diameter of a ball

= 7.5/2 = 3.75 cm

To find the volume of cylinder

Volume of cylinder = πr²h

= 3.14 * 3.75² * 22.5

= 993.515 ≈ 994

The correct answer is third option. 994

8 0

3 years ago

A greenhouse is offering a sale on tulip bulbs because they have inadvertently mixed pink bulbs with red bulbs. If 40% of the b

True [87]

Answer:

The probabilty of having at least one pink bulb if 4 bulbs are purchased is 13%.

Step-by-step explanation:

The proportion of pink bulbs is p=0.4.

If X is the amount of pink bulbs in a group of 4 bulbs, we can model this as a binomial distribution problem.

The probability that at least one of the bulbs is pink is P(X≥1)

$P(X\geq 1)=1-P(X=0)=1-(\binom{4}{0}p^0(1-p)^4)\\\\P(X\geq 1)=(1-p)^4=0.6^4=0.1296$

The probabilty of having at least one pink bulb if 4 bulbs are purchased is 13%.

6 0

3 years ago

Expand using the properties and rules for logarithms

malfutka [58]

Consider expression $\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right).$

1. Use property

$\log_a\dfrac{b}{c}=\log_ab-\log_ac.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2.$

2. Use property

$\log_abc=\log_ab+\log_ac.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2.$

3. Use property

$\log_ab^k=k\log_ab.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2.$

4. Use property

$\log_{a^k}b=\dfrac{1}{k}\log_ab.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{2^{-1}}2=\\ \\=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+\log_22=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+1.$

Answer: correct option is B.

7 0

3 years ago

What number is missing in this sequence? 1, 2, 4, 7, 11, ___, 22

Zina [86]

Answer:

16

Step-by-step explanation:

4 0

3 years ago

Find the equation of the linear function represented by the table below in slope- intercept form. -4 18 1 -2 6 -22 11 -42​

Find the equation of the linear function represented by the table below in slope- intercept form. -4 18 1 -2 6 -22 11 -42