What is the y-intercept of y=-3x + 6?
A. -6
B. -3
C. 3
D. 6

Answer:

sinC = 12/13

C = [tex]sin^{-1}[/tex]12/13

C = 67⁰

I used Elimination method

x =3

y = 1/10

Hope it helps

Answer:

y = [tex]\frac{1}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - 3 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, - 3) into the partial equation

- 3 = 1 + c ⇒ c = - 3 - 1 = - 4

y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line

An equation of the line that passes through points (2,−3) and is perpendicular to the line is equal to [tex]y=\frac{1}{2} x-4[/tex]

Given the following equation:

First of all, we would determine the slope of the given equation:

Slope, [tex]m_1[/tex] = -2

In Mathematics, the slopes of two lines are said to be perpendicular when the product of these slopes is equal to negative one (-1).

Mathematically, this is given by;

[tex]m_1 \times m_2 = -1[/tex]  

Substituting the value of [tex]m_1[/tex], we have:

[tex]m_1 \times m_2 = -1\\\\-2 \times m_2 = -1\\\\m_2 = \frac{1}{2}[/tex]

The standard form of an equation of line is given by the formula;

[tex]y -y_1 =m(x-x_1)[/tex]

Where:

Substituting the points into the formula, we have;

[tex]y-y_1 =m(x-x_1)\\\\y-[-3] =\frac{1}{2} (x-2)\\\\y+3=\frac{1}{2} x -1\\\\y=\frac{1}{2} x-1 -3\\\\y=\frac{1}{2} x-4[/tex]

Read more: https://brainly.com/question/14096662

Answer:

5(2^x)

Step-by-step explanation:

Answer:

Total = Principal * (1 + rate )^ years

Total = 7,777 * 1.14^2

Total = 7,777 * 1.2996

Total = 10,106.99

Step-by-step explanation:

Answer:

work is shown and pictured

Answer: cot B

Step-by-step explanation: if i am right mark me as brainliest

It should be A: 1 ounce of hamburger patty has approximately 3/17 grams of protein and 1 ounce of fish has 3/16 grams of protein.

Answer:

30) A)

31) C)

32) A)

33) A)

34) A)

Step-by-step explanation:

30) Reflection over the x -axis  (x,y)→(x,−y)

31) Rotation 180° about the origin (x, y)→(-x, -y)

32) Rotation 180° about the origin (x, y)→(-x, -y)

33) Translation 1 unit left (x, y)→(x-1, y)

34) Rotation 180° about the origin (x, y)→(-x, -y)

Answer:

-9.5116

Step-by-step explanation:

-1.58 * 6.02.

The easy way is to use your calculator.

To do it manually  you can multiply -158 by 2, then by 10 and then by 600.

Add these 3 results.

This gives -95116.

Now you have 4 numbers after the decimal point in -1.58 and 6.02 so counting from the right  in -95116 we locate the decimal point:

= -9.5116.

Answer:

3/2y -5

Step-by-step explanation:

-1/2 (-3y+10)

Distribute

-1/2* -3y + -1/2*10

3/2y -5

Answer:

3/2y - 5

Step-by-step explanation:

To do this question, we will need to use the distributive property. Multiplying the number outside of the terms in the parenthesis gives us:

-1/2(-3y+10) --> 3/2y - 5

Answer:

Step-by-step explanation:

2 = m / 2  - 7

2 + 7 = m / 2

9 = m / 2

cross  multiply

m = 9 * 2

Therefore m = 18

Hope u understood and it helped.

Answer:

a) 3

b) -3

Step-by-step explanation:

Absolute value makes sure that whatever is in the lines will equal a positive.

Answer:

[tex]\left|4-7\right|\\\mathrm{Subtract\:the\:numbers:}\:4-7=-3\\=\left|-3\right|\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\=3[/tex]

[tex]\left|4\right|-7\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\\left|4\right|=4\\=4-7\\Simplify\\=-3[/tex]

Step-by-step explanation:

numbers that have |x| around the numbers means its an absolute number, making it positive

Step-by-step explanation:

30 < 2x + 16

30 - 16 < 2x

14 < 2x

14/2 < x

7 < x

or

x > 7

#CMIIW

Answer: x > 7

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 2x by subtracting 16 from both sides.

That leaves you with 14 < 2x.

To get x by itself, divide both sides by 2 and 7 < x.

I like to put my variable on the left side but if we do that,

we must switch the direction of the inequality sign.

So 7 < x is the same as x > 7.

However, 7 < x is still the right answer, just a matter of preference.

Answer:

The best measure of center for this data is the Mode

                                                                              ______

which has a value of 21

                                  ____

Step-by-step explanation:

The best measure of center for this data is 21 that is mode or median and this can be determined by checking the deviation from the lowest number and the highest number.

Given :

Table-

Year                                      2011          2012      2013     2014      2015

Number of Cakes Sold          21              28          19         26          21

First determine the mean, mode, and median of the given data.

[tex]\rm Mean = \dfrac{Sum\; of \;the \;terms}{Number\;of \; terms}[/tex]

[tex]\rm Mean = \dfrac{21+28+19+26+21}{5}[/tex]

[tex]\rm Mean = \dfrac{115}{5}[/tex]

Mean = 23

The median of the given data is 21.

The mode of the given data is 21.

Now, check the deviation from the lowest number and the highest number. The best measure of center for this data is 21.

For more information, refer to the link given below:

https://brainly.com/question/1957976

Answer:

P = 74

Step-by-step explanation:

14 + 60 = 74

Answer:

[tex]3^{108}[/tex]

Step-by-step explanation:

[tex](3^6)^{18}\\\text {Apply "Power of a Power" Rule: } (a^x)^y = a^{x*y}\\6*18 =108\\\text {Therefore:}\\\boxed {(3^6)^{18} = 3^{108}}[/tex]

Answer:

3 to the 6th power is 729.

3 to the 18th power is 387420489

Step-by-step explanation:

You just multiply. Sorry I don't know how to explain I just know how to do it.

Answer:

length = 5 meters

width = 2 meters

Step-by-step explanation:

The volume of parallelepiped is given by:

Volume = length * width * height.

If the volume is 50 m3, the length is x + 3, the width is x and the height is 5 m, we can use the volume equation to find the value of x:

50 = (x+3) * x * 5

10 = (x+3) * x

x^2 + 3x - 10 = 0

Using Bhaskara's formula, we have:

Delta = 3^2 + 4*10 = 49

sqrt(Delta) = 7

x1 = (-3 + 7)/2 = 2

x2 = (-3 - 7)/2 = -5 (This value would cause negative measurements, so it is not a valid answer)

So with the value of x = 2, we can find the length and the width of the tank:

length = x + 3 = 2 + 3 = 5 meters

width = x = 2 meters

Answer:

24 inches represents 9 miles in the map

Step-by-step explanation:

To solve this problem you take into account that 8 inches represents 3 miles and that x represent the number of inches for 9 miles. That is:

8 ------- 3

x ------- 9

This is simply a rule of three, then you calculate:

[tex]x=\frac{8\ x\ 9}{3}=\frac{72}{3}=24[/tex]

Hence, 24 inches represents 9 miles in the map

Answer: Large box 1 can hold 64.67 inches; Large box 2 can hold 56.19 inches.

Step-by-step explanation:

Small box: 162 inches.

Large box 1: 10476 inches.

Large box 2: 9102 inches

Number of small box that can be contained in large box 1= 10476/162 = 64.67

Number of small box that can be contained in large box 2 = 9102/162 = 56.19

If my friend uses division to determine and said Large Box 1 can hold 64 small boxes and Large box 2 can hold 56 small boxes. The error in his reasoning was that he didn't approximated to whole number. He should have written the figure completely or to 2 or 3 decimal places.

Answer:

6 because 30 / 5 is 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Notice that the sequence begins with 3, and it's an infinite sequence, that's the meaning of the three points at the end.

So, a reasonable domain to this sequence, as function, it's all real numbers which follows the rule [tex]f(x)=3(5)^{x-1}[/tex]. In other words, the given sequence represents the range of the function, and the domain is defined by the number of terms, where the first term is 3, the second term is 15, and so on.

Therefore, a reasonable domain is all natural numbers.

So the right answer is √314 units.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

Step-by-step explanation:

The axis of symmetry lies exactly halfway between the given x = 1 and x = -5.

The axis of symmetry is x = -2.

The 'halfway' value is also the 'average' of 1 and -5:  -4/2, or -2.

The axis of symmetry is x = -2.

Answer:1 and 2

Step-by-step explanation:

Given

Volume needed [tex]V=220\ in.^3[/tex]

For first cylinder

[tex]r=3\ in.[/tex]

[tex]h=4\ in.[/tex]

[tex]V=\pi r^2h[/tex]

[tex]V_1=\pi (3)^2(4)[/tex]

[tex]V_1=113.11\ in^3[/tex]

For second cylinder

[tex]r=4\ in.[/tex]

[tex]h=4\ in.[/tex]

[tex]V=\pi r^2h[/tex]

[tex]V_2=\pi (4)^2(4)[/tex]

[tex]V_2=201.08\ in^3[/tex]

For Third cylinder

[tex]r=9\ in.[/tex]

[tex]h=9\ in.[/tex]

[tex]V=\pi r^2h[/tex]

[tex]V_3=\pi (9)^2(9)[/tex]

[tex]V_3=2290.51\ in^3[/tex]

For fourth cylinder

[tex]r=4\ in.[/tex]

[tex]h=9\ in.[/tex]

[tex]V=\pi r^2h[/tex]

[tex]V_4=\pi (4)^2(9)[/tex]

[tex]V_4=452.448\ in^3[/tex]

So, cylinder [tex]1[/tex] and [tex]2[/tex] are appropriate as it is under [tex]220\ in.^3[/tex]

Answer:

1, 2, and 4.

Step-by-step explanation:

Don't forget for these 3 you had to cut the diamiter in half to get the radius.

Answer:

6.6 repeating or 6 and 2/3

Step-by-step explanation:

you would have to do 20 divided by 3 to find the unit rate.

20 / 3 = 6.6 repeating or 6 and 2/3  

Step-by-step explanation:

hope this helps you

..................

Answer:

a. On the 13th day

b. 2,451 players we’re sold on that day

Step-by-step explanation:

a. The day in which the company sold the same number of players can be calculated by equating the values of y that we have ;

y = 191x-32 and y = -x^2 + 200x + 20

Equating both, we have;

191x-32 = -x^2 + 200x + 20

x^2 -200x + 191x-20-32 = 0

x^2-9x-52 = 0

x^2-13x + 4x -52 = 0

x(x-13)+4(x-13) = 0

(x-13)(x+4) = 0

x = 13 or -4

as days cannot be negative we choose only x = 13

This means the company sold equal numbers of players on the 13th day

b. To get the number of players sold on that day, we choose any of the y equation and substitute x = 13

Thus, we have for y = 191x -32; 191(13) - 32 = 2,451 players