Express the equation in the slope y-intercept form: y = mx + b. 2x−3y+1 = 0

Answer:

50  1  20

4   10  25

5  100 2

Step-by-step explanation:

Hello,

we can use Dudeney method

[tex]1000 = 2^35^3[/tex]

so we have a =2 and b = 5

the solution is

[tex]ab^2 \ \ 1 \ \ \ \ a^2b\\a^2 \ \ \ ab \ \ \ b^2\\b \ \ \ \ a^2b^2 \ \ a[/tex]

just need to replace a by 2 and b by 5

hope this helps

Answer:  6 feet from the pivot point

Step-by-step explanation:

Girl's weight x distance from center = Boy's weight x distance from center

65 (7) = 75x

[tex]\dfrac{65(7)}{75}=x[/tex]

6.066 = x

The boy needs to be placed 6 feet from the center (aka pivot point) which is the same as saying 1 foot from the end of the seesaw.

Answer: B) -2/3

Step-by-step explanation:

First turn this equation into slope-intercept form(y = mx + b), where m is the slope.

2x+3y=4

3y=-2x+4

y=-2/3x+4/3

Thus, the slope is -2/3

Hope it helps <3

Answer:

Step-by-step explanation:

[tex]2x + 3y = 4?\\\mathrm{Slope}\:\mathbf{m}\:\mathrm{of\:a\:line\:of\:the\:form}\:\mathbf{Ax+By=C}\:\mathrm{equals}\:\mathbf{-\frac{A}{B}}\\\mathbf{A}=2,\:\mathbf{B}=3\\m=-\frac{2}{3}[/tex]

Answer:

( 4, 9 ) is our solution in an ordered pair, as you could also say x = 4, and y = 9

Step-by-step explanation:

So we have the following system of equations at hand ( given directly below ), and want to make it such that each equation is multiplied by a value that makes a common variable, say x, have opposite values of coefficients such that they cancel each other out when the two equations are added, enabling you to solve for the value of the other variable, in this case variable y.

[tex]\begin{bmatrix}x-3y=-23\\ 5x+6y=74\end{bmatrix}[/tex] - Multiply this top equation by -5, so the coefficient of variable x becomes - 5, opposite to the respective x coefficient in the second equation.

[tex]\begin{bmatrix}-5x+15y=115\\ 5x+6y=74\end{bmatrix}[/tex] - Adding the two equations we receive the simplified equation 21y = 189. y = 189 / 21 = 9. If y = 9, x should = - 23 + 3y = - 23 + 3 [tex]*[/tex] 9 = 4. To get this value of x simply isolate the value of x in the first equation given to us, and substitute the known value of y. We have our solution in the form ( 4, 9 ), where x = 4 and y = 9.

Answer:

4,9

Step-by-step explanation:

Answer:

[tex] Area = 316.6 mi^2 [/tex]

Step-by-step explanation:

Given:

Angle of arc = 300°

Radius of circle = 11 miles

Take π as 3.14

Required:

Area of the major sector

Solution:

Area of sector is given as: angle of arc/360*πr²

Thus,

[tex] Area = \frac{300}{360}*3.14*11^2 [/tex]

[tex] Area = 316.616667 [/tex]

[tex] Area = 316.6 mi^2 [/tex] (rounded to the nearest tenth)

Answer:

Hello There. ☆~---_●₩●__---☆~ The students in each grade, that way it wont focus just on one group like the club, the teachers, or the boys.

Hope It Helps!~ ♡

ItsNobody~ ☆

Answer: C y>3x+1

Step-by-step explanation:

From all the given options , only C contains inequality with '>' sign .

Hence, y>3x+1 is the inequality has a dashed boundary line when graphed.

hence, the correct option is C.

Answer:

(0,8.5)

Step-by-step explanation:

Change 2x+y=17 to 4x+2y=34

Cancel it out with -4x=2y - 34

It would be 4y=0

Transfer it to the first or second equation 2x+0=17

x=17/2 or 8.5

Answer:

YTM = 5.45%

Step-by-step explanation:

Here, we are interested in calculating the yield to maturity.

Mathematically;

Annual coupon=1000*4.3%=43

YTM=[Annual coupon+(Face value-Present value)/time to maturity]/(Face value+Present value)/2

=[43+(1000-870)/18]/(1000+870)2

=5.45%

Step-by-step explanation:

The first six terms for each of the following sequenses are:

(a) a_n = 3n - 10

1. a_1 = -7

2. a_2 = -4

3. a_3 = -1

4. a_4 = 2

5. a_5 = 5

6. a_6 = 8

(b) a_n = (1 + (-1)^n) ^n

1. a_1 = 0

2. a_2 = 4

3. a_3 =0

4. a_4 = 16

5. a_5 = 0

6. a_6 = 32

Answer: 4.8mi

Step-by-step explanation:

From Newton, getting to Bloomington takes 10mi, and getting to Arlington takes 5.2mi.  Thus, simply do 10-5.2 to get 4.8mi.

Hope it helps <3

Answer:

25 percent of 8 is 2 so 2 hours

Step-by-step explanation:

Answer:

$432

Step-by-step explanation:

60*6=360

They paid $360 for the first 6 months.

20%*60=.2*60

0.2*60=12

12*6=72

They paid $72 for the last 6 months.

360+72=432

They paid $432

$648 is the total amount the customer will pay for the 1-year plan

percentage, a relative value indicating hundredth parts of any quantity.

Given that a customer enrolled in a 1-year product purchase plan that costs $60 per month.

After 6 months, the customer received a monthly discount of 20%.

We need to find the total amount the customer will pay for the 1-year plan.

Product Plan = $60 per month

Money he pay for 1 month = $ 60

Money He pay for first 6 month = 6 × 60 = $ 360

after 6 month he receives 20% discount monthly,

So, Now he pay for 1 month = 60 - 20% × 60

=60-20/100×60

=60-12=48

Money he pay for last 6 month = 6 × 48 = 288

Total Money he  pay in a year = 360 + 288 = $ 648

Hence, $648 is the total amount the customer will pay for the 1-year plan

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Step-by-step explanation:

[tex]W^m=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{m}\\\\W^n=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{n}\\\\W^mW^n=\underbrace{(W\cdot W\cdot W\cdot...\cdot W)}_{m}\underbrace{(W\cdot W\cdot W\cdot...\cdot W)}_{n}\\\\=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{m+n}=W^{m+n}[/tex]

From the following given equation, the answer to W^mW^n = [tex]\mathbf{W^{m+n}}[/tex]

The laws of indices provide us with the rules and principles for simplifying mathematical computations or algebraic expressions that include powers of the same base.

The example of the question given can be solved by using the multiplication rule. The multiplication rule states that we sum up the power of the integers if they have the same base.

From the given information

W^mW^n = [tex]\mathbf{W^{m+n}}[/tex]

Learn more about indices here:

https://brainly.com/question/15339224?referrer=searchResults

Answer:

The hypothesis test is a two-tail test

Step-by-step explanation:

The test hypothesis:

Null hypothesis                  H₀       p = 0,39         or   p  =  p₀

Where p₀ is a nominal proportion (established proportion) and

Alternate hypothesis         Hₐ       p  ≠  0,39        or  p ≠  p₀

Is a two-tail test, (≠) means different, we have to understand that different implies bigger and smaller than something.

For a test to be one tail-test, it is necessary an evaluation only in one sense in relation to the pattern ( in this case the proportion )

Answer:

9 x 9 x 9 x 9 x 9

Step-by-step explanation:

9^5 = 9 x 9 x 9 x 9 x 9

Answer:

it is C

Step-by-step explanation:

Answer:

[tex]\boxed{13}[/tex] pages

Step-by-step explanation:

Divide the total number of pages by 5 to get how many sets of every 5 pages will contain 2/3 of a page of advertisements.

[tex]\frac{98}{5} = 19.6[/tex]

Multiply this value by [tex]\frac{2}{3}[/tex] to get the total number of pages.

[tex]19.6 * \frac{2}{3} \approxeq 13[/tex] pages

Answer:

h = 109.9 in

Step-by-step explanation:

The above question can be solved using trigonometric ratio formula,

tan θ = opposite/adjacent

tan θ = tan 70° ≈ 2.7475

opposite = height of lamppost = h in

Adjacent = 40 in

Thus,

[tex] tan 70 = \frac{h}{40} [/tex]

[tex] 2.7475 = \frac{h}{40} [/tex]

Multiply both sides by 40 to solve for h

[tex] 40*2.7475 = h [/tex]

h = 109.9 inches

The height of the lamppost = h = 109.9 inches (to nearest tenth)

Answer:

The number stays the same

Step-by-step explanation:

The power of 1 equals the number itself

Answer:

x=8

Step-by-step explanation:

[tex]\sqrt{x+8}-\sqrt{x-4}=2\\\sqrt{x+8}=2+\sqrt{x-4}\\\left(\sqrt{x+8}\right)^2=\left(2+\sqrt{x-4}\right)^2\\x+8=x+4\sqrt{x-4}\\8=4\sqrt{x-4}\\8^2=\left(4\sqrt{x-4}\right)^2\\64=16x-64\\x=8[/tex]

Answer:

It's the last one. We know it's to the right because the -8 is in the exponent and also, it's -8 not +8.

Answer:

(0,5)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

From the graph, the graphs intersect at x = 0 and y =5

Step-by-step explanation:

I have trouble with these types of questions as well, but hopefully this might help.

Answer:

2x + y = -10

Step-by-step explanation:

Simplify −2(x+7)

y−4=−2x−14

Move all terms containing variables to the left side of the equation.

2x+y−4= −14

Move all terms not containing a variable to the right side of the equation.

2x + y = −10

Hope this helps

Answer:

-12,-10,-3,-1.4,-1,0.25,2,5.2,12

Step-by-step explanation:

The following number −1.4; 2; −3 1 2 ; −1; − 1 2 ; 0.25; −10; 5.2 in increasing order

-12,-10,-3,-1.4,-1,0.25,2,5.2,12

It's arranged this way starting from the negative sign because positive it's greater than negative and if the negative gets to approach zero it's get smaller

Answer:

-10 ; -3 1/2 ; -1.4 ; -1 ; -1/2 ; 0.25 ; 2 ; 5.2

Answer:

16

Step-by-step explanation:

47% is 0.47

34 x 0.47 = 15.98

So a trick question, its either 15 students or 16 students.... I would say 16 students, although the percentage would be 47.05%

16 students either have glasses or contacts.

Answer:

variable A and Variable B are more negatively related than variable C and variable D.

Step-by-step explanation:

Variables A and B have a covariance = 45

Variables C and D have a covariance = 627

Comparing the relationship between variable A AND B with the relationship between variable C and D

variable A and Variable B are more negatively related than variable C and variable D. this is because the covariance between variable A and Variable B are less positive

Answer:

The graph will be an exponential function that crosses the y-axis at about (0, -4).

Step-by-step explanation:

[tex]g(x) = (0.5)^{x + 3} - 4[/tex]

That means that when x = 0...

[tex]g(0) = (0.5)^{0 + 3} - 4[/tex]

[tex]g(0) = (0.5)^{3} - 4[/tex]

[tex]g(0) = 0.125 - 4[/tex]

[tex]g(0) = -3.875[/tex]

So, the graph will be an exponential function that crosses the y-axis at about (0, -4).

Hope this helps!

Answer:

its a

Step-by-step explanation:

i put the equation in desmos and the graph looked exactly like a lol

Answer:

y= -2x +1

Step-by-step explanation:

slope- intercept form:

y= mx +c, where m us the gradient and c is the y-intercept.

Let's find the value of m first using the gradient formula.

Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

[tex]m = \frac{ - 3 - 3}{2 - ( - 1)} \\ m = \frac{ - 6}{2 + 1} \\ m = \frac{ - 6}{3} \\ m = - 2[/tex]

y= -2x +c

To find the value of c, substitute a pair of coordinates.

When x= -1, y=3,

3= -2(-1) +c

3= 2 +c

c= 3 -2

c= 1

Thus the equation of the line is y= -2x +1.