The measure of b is..

Answer:

k = ⅕  

Step-by-step explanation:

The slope-intercept equation for a straight line is

y = mx + b, where

m = the slope and

b = the y-intercept

Data:

(3,4)     = a point on the line

(3k,0)   = x-intercept

(0,-5k) = y-intercept

Calculations:

1. Slope

m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃

This makes the equation

y = ⁵/₃x - 5k

2. k

Insert the value of the known point: (3,4)

4 = (⁵/₃)(3) - 5k

4 = 5 - 5k

-1 = -5k

k = ⅕

The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .

Answer:

D

Step-by-step explanation:

Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)

Answer:

colorizing

Step-by-step explanation:

you should colorize the area that is the answer to an inequality on plane. thus, the colored area refers to the answer of it.

Answer:

D) 0

Step-by-step explanation:

In a ║gm, opposite sides are parallel and equal.

So,

RS = UT

=> x+5 = 2x+5

=> 2x-x = 5-5

=> 2x = 0

=> x = 0

Answer:

Step-by-step explanation:

i think 0

Answer: 2,369.25 cm3

Step-by-step explanation:

Hi, to answer this question we have to use proportions:

X has volume of 64 cm3 and s surface area of 208 cm2

The proportion is = volume / surface area = 64/208

Y has volume of 729 cm3

Volume / surface area = 729/ s (surface area of y)

64/208 = 729/ s

Solving for s:

s = 729 / (64/208)

s = 2,369.25 cm3

Feel free to ask for more if needed or if you did not understand something.

Answer: 16 more seniors than juniors stay at the after-school program

Step-by-step explanation:

50 * 60% = 50 * .6 = 30

30 * 80% = 30 * .8 = 24

50 - 30 = 20

20 juniors and 30 seniors in total

———————————————

20 * 40% = 20 * .4 = 8

24 - 8 = 16

Answer:

16 more seniors stay after school or

Step-by-step explanation:

50/kids

Answer:

24 cm

Step-by-step explanation:

To find the perimeter of the shape:

3+3+6+6=18

Perimeter of rectangle is 18

Triangle is equilateral, and therefore, all it’s sides are the same.

The final step is:

3+3+6+6+6= 24

Answer:

Option B. is the correct choice.

Step-by-step explanation:

Perimeter = 3+6+6+3+6

= 24 cm

Best Regards!

Answer:

C. 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

F(x) = -x² - 10x - 2

F(-9) is x = -9

Step 2: Evaluate

Answer:

B

Step-by-step explanation:

The next time Bus A leaves (75 minutes from 6:00), Bus B will also leave because 75 / 15 is a whole number. 75 minutes from 6:00 is 7:15 a.m.

Answer:

In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.

Step-by-step explanation:

Angles are measured in degrees ( °), using a protractor. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor. hope this helps you :)

Answer:

0.16666666666667

Step-by-step explanation:

Let me know if this is correct.

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{2}{9} \times \frac{3}{4} \\ \\ = \frac{2 \times 3}{9 \times 4} \\ \\ = \frac{6}{36} \\ \\ = \frac{1}{6} \\ [/tex]

Answer:

it's y=5

Step-by-step explanation:

Answer:

The correct answer is -5 not 5.

Answer:

B is the answer.

Step-by-step explanation:

[tex]x^{\frac{m}{n} } = \sqrt[n]{x^{m} }[/tex]  

[tex]\sqrt[4]{81^{5} }[/tex] =  [tex]81^{\frac{5}{4} }[/tex]

Answer:

i think its c

Step-by-step explanation:

d looks even if that makes sense

Answer:

C cannot be represented by a linear function

Step-by-step explanation:

We can draw a line to represent the points, then it would be a linear functions

A,B and D can be represented by a linear function

C is a curve

Answer:

150 m

Step-by-step explanation:

Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,

1. Find the diameter of the circle, which is also 150m

2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)

If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,

75 + 75 = 150m

Answer:

The inverse of f(x) is

y = x² - 4

x = y ² - 4

y² = x + 4

y = √x + 4

The inverse of the function is y = √x +4

Hope this helps.

Answer:

The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 is 127

Step-by-step explanation:

The question regards the addition of single digits in numbers and asks of the sum of the digits in the first 25 numbers as follows;

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 4 + 1 + 5 + 1 + 6 + 1 + 7 + 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 + 2 + 2 + 2 + 3 + 2 + 4  + 2 + 5 = 127

The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 = 127.

Answer:

B and D

Step-by-step explanation:

In the picture attached, the question is shown.

The graphical solution for a system of two equations is found at the intersection of the two lines. At point (1, 4) line B intersect line D, therefore this point is the solution of the set of equations B and D.

Answer:

D) 45

Step-by-step explanation:

When a line bisects an angle, it cuts the angle into two equal halves. This means that ABD and DBC have the same angle measure, which is half of 90 degrees or 90/2=45. Hope this helps!

Answer:

x=83

Step-by-step explanation:

97+x=180

x=83

Answer:

∠x = 83°

Step-by-step explanation:

Since ∠x and ∠y are supplementary ∠s so they add up to 180°

So,

∠x + ∠y = 180

Where ∠y = 97°

∠x + 97° = 180

∠x = 180-97

∠x = 83°

Answer:

Tangent B = eight-sixths

Step-by-step explanation:

Data

From tangent definition:

tan(β) = opposite/adjacent

where β is some angle, and opposite and adjacent are the opposite and adjacent sides (or legs) to that angle.

In our case, B is the angle, opposite to angle B is side AC, and adjacent to angle B is side AB. Replacing with data:

tan(B) = AC/AB

tan(B) = 8/6

Answer:

B is the correct option here

Step-by-step explanation:

hope that this helps. Peace and love

Answer:

Class A is using 60% salt solution while Class B is using a 50% salt solution. So Class A's solution is saltier. 3/5=0.60 which equals 60%. 2/4=0.50 which equals 50%. That's how I know it is saltier

Answer:

3/5 and 2/4

You can cross multiply

3 x 4 = 11

2 x 5 = 10

3/5 is bigger

You can also convert into decimal

3/5=0.6

2/4=0.5

Hope this helps

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

25.5/4.25= 6

Answer: 6

Step-by-step explanation:

Answer:he slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form…

Step-by-step explanation:

Answer:

y= -2/5 and y=1

Step-by-step explanation:

Start by transforming the equation to your liking:

[tex]5y^2-2=3y\\5y^2-3y-2=0\\[/tex]

Now we have to factor! To do this we have to find common numbers. Do this by multiplying -2 and 5 to get -10. Now think about which two numbers add multiply to be -10 but also add up to be -3 (I got this number from the middle of the equation). The two numbers you should've got are -5 and 2.

Now substitute those two number in place of the middle term, which is -3y like so:

[tex]5y^2-5y+2y-2 =0[/tex]

Now solve the equation in pieces... find the greatest common factor from [tex](5y^2-5y)[/tex] and the greatest common factor from [tex](2y-2)[/tex] . The two common factors for both of those are 5y and 2. Your equation should now look like this:

[tex]5y(y-1)[/tex] + [tex]2(y-1)[/tex]

The two greatest common factors become into one group and the other equation that they have in common (y-1) is it's own equation:

[tex](5y+2)(y-1)=0[/tex]

Now equal both of the equations to 0 and solve for y to get both of the values of y.

Answer:

11k^3 (4k^2 - 6k +7)

Hope this helps :)

Answer:

Step-by-step explanation:

Use the compound amount formula:  A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years.  Then:

A = ($240,000)(1 + 0.04)^12      (that's 12 years past 2008)

   = ($240,000)(1.04)^12 = $384,247.73

Growth rate:  4%, or 0.04

Independent variable:  time (t)

Dependent variable:  appreciated value of the house, A

Domain:  [0, 30) (assuming that the house is sold within 30 years)

Range:  [$240,000, infinity)   (the house will never sell for an infinite price)