Which equations have a leading coefficient of 3 and a constant term of -2?

Answer:

P = 74

Step-by-step explanation:

14 + 60 = 74

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:

Step-by-step explanation:

The circumference of a circle is the distance around the outside of a circle. If we can find the circumference of the wheel, we can find out how far Elena can travel when her wheel turns one time.  If we can find out how far she travels in one wheel turn, we will multiply that distance by 840 to see how far she travels when her wheels turn 840 times.

[tex]C=2\pi r[/tex] and

C = 2(3.14)(.25) so

C = 1.57 m

1.57 x 840 = 1318.8 meters

Answer:

was

Step-by-step explanation:

lol

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:

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:

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:

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:

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.

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:

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: cot B

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

Answer:

sinC = 12/13

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

C = 67⁰

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:

The pressure exerted by gas number 3 is 159 mmHg

Step-by-step explanation:

To answer this question, the law to Use is Dalton’s law of partial pressure

Dalton’s law of partial pressure states that for a mixture of gases which do not mix, the total pressure exerted by such gases is equal to the sum of the individual pressure.

Now for the three gases, the total pressure Pt is equal to P1 + P2 + P3

Now we have Pt = 950 mmHg, P1 = 335 mmHg and P2 = 456 mmHg

P3 = Pt-P1-P2

Plugging the values above, we have ; 950-335-456 = 159 mmHg

Answer:

84 different ways

Step-by-step explanation:

you have to do

7+6+5+4+3+2+1=28

6+5+4+3+2+1=21

5+4+3+2+1=15

4+3+2+1=10

3+2+1=6

2+1=3

1=1

28+21+15+10+6+3+1=84

84 different ways

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)

So the right answer is √314 units.

Look at the attached picture

Hope it will help you

Good luck on your assignment

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:

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

Answer:

I couldnt figure out the irregular polygons, so im sorry

Step-by-step explanation:

2.

[tex]A=wl=7*2=14in^2\\P=2(l+w)=2*(2+7)=18in[/tex]

3.

[tex]P=8a=8*3=24cm[/tex]

4.

[tex]A=wl=40*97=3880mm^2\\P=2(l+w)=2*(97+40)=27mm[/tex]

5.

[tex]A=wl=4*13=52cm^2\\P=2(l+w)=2*(13+4)=34cm[/tex]

6.

[tex]A=wl=3*8=24cm^2\\A=wl=2*6=12cm^2\\=36cm^2\\P=2(l+w)=2·(8+3)=22cm\\P=2(l+w)=2*(2+6)=16cm\\=38cm[/tex]

8.

[tex]A=wl=4*9=36cm^2\\A=wl=8*3=24cm^2\\=60cm^2\\P=2(l+w)=2*(4+9)=26cm\\P=2(l+w)=2*(8+3)=22cm\\=48cm[/tex]

9.

[tex]A=wl=7*11=77cm^2\\A=wl=2*5=10cm^2\\=87cm^2\\P=2(l+w)=2*(7+11)=36cm\\P=2(l+w)=2*(2+5)=14cm\\=50cm[/tex]

Answer:

1

Step-by-step explanation:

The leading coeffecient is the number behind the x^2 value. There is an imaginary one there.

Answer:

6 because 30 / 5 is 6

Step-by-step explanation:

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.

Step-by-step explanation:

hope this helps you

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

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:

26 blocks

Step-by-step explanation:

 To determine the number of blocks Tommy walked, you will calculate the distances between each of his points (ordered pairs).

Using the distance formula i.e[tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

(0,0) to (0,6) is : [tex]\sqrt{(0-0)^2+(6-0)^2}[/tex] = 6 blocks  

(0,6) to (7,6) is: [tex]\sqrt{(7-0)^2+(6-6)^2}[/tex]= 7 blocks

(7,6) to (7,0) is: [tex]\sqrt{(7-7)^2+(0-6)^2}[/tex] = 6 blocks

(7,0) to (0,0) is: [tex]\sqrt{(0-7)^2+(0-0)^2}[/tex] = 7 blocks, back home

This totals 26 blocks that Tommy walked.

Answer:

work is shown and pictured