Mathematics College

I didn’t understand this question please help

Answers

Answer 1

Answer:

(a) y = 4x - 15

(b) y = (-1/4)x + 2

Step-by-step explanation:

The slope-intercept equation form for a line is
y = mx + b

Here m is the slope (rise/run) and b is the y-intercept ie the y-value at which the line crosses the y axis at x = 0. Drawing a picture helps

If two lines have the same slope, they are parallel
If another line has slope -(1/m) then it is perpendicular to the line with slope m

First convert the line equation into slope-intercept form as follows
8x - 2y = 1

Subtract 8x from both sides ==> -2y = 1- 8x
Multiply both sides by -1 ==> 2y = 8x - 1

Divide both sides by 2:
y = 4x - 1/2

Parallel line

y = 4x - 1/2

A parallel line should also have slope = 4

So it's equation will be of the form
y = 4x + b

To determine b, the y intercept, plug in values for x = 4, y =1 ad solve for b
1 = 4(4) + b ==> 1 = 16 + b ==> b = -15

So the equation of a line parallel to 8x - 2y = 1 passing through (4,1) is
y = 4x - 15 (Answer a)

Perpendicular Line

A perpendicular line to y = 4x - 1/2 should have the negative of the reciprocal of the slope
So the slope of the perpendicular line is -(1/4)

Equation is

y = -(1/4)x + b

Plug in the point values for (4, 1) to get
1 = - (1/4)(4) + b

1 = -1 + b

b = 2

So the equation of a line perpendicular to 8x - 2y = 1 passing through (4,1) is y = -(1/4)x + 2

Related Questions

Choose a system of equations with the same solution as the following system:
4x − y = −11
2x + 3y = 5

A. 12x − 3y = −33
10x − 6y = −38

B. −4x − 9y = −21
−2x − 7y = −27

C. 4x + 3y = 5
10x + 5y = −1

D. 2x − 4y = −16
4x − 4y = 44

please help 100points!!!!
And i will make brainlest
only if the answer is right and there is a good explanation....

Answers

Answer:

Hope it can help you and Mark me as a brainlist....

I thinks it is b cause

Help please due soon

Answers

1. h=6
2. y=-1
3.t=2
4. d=2.1
5.k=0
6. -13 1/3

Answer:

1. H=6

2. Y= -1

3. T= 2

4. D= 2.1

5. K= 0

6. -13 1/3

Step-by-step explanation:

Need help finding the measures

Answers

X is 10 ( equate both angles and solve)

M1. 43 degrees (plug x and solve)
M4. 60 degrees (definition of an equilateral triangle, every angle is 60 degrees)
M5. 60 degrees
M6. 60 degrees
M9. 43 degrees (plug x and solve)
M3. 180 degrees minus angle m4 = 120 degrees(looks like it too )
M2. 180-(43+120) = 17 degrees
M8. Pretty much m3 = 120
M7. Pretty much m2 = 17 degrees

I hope nothing wrong with my math but the logic should be sound !

Angle (2+5+7)= 180 - 2(43) = 94 degrees

Angle 2

Which equation represents a function that is nonlinear?

y=5x y=37 y=x2-25 y=2/3x+67

Answers

Answer:

I dont get itt

Step-by-step explanation:

which statement is true about the points p and p

Answers

Answer:

They are equal

Step-by-step explanation:

Please help! Use the number line to compare the numb Drag and drop the numbers to place them in increasing order. -1.7, 1.9, -0.8, 0.9

Answers

Answer: -1.7, -0.8, 0.9, 1.9

How far would the plane fly in t hours at this speed

Answers

Answer: 610 MPH

Step-by-step explanation:

915 divided by 1.5=610 MPH

610 divided by 2=305 MP Half n Hour

610+305=915

Manuel saved $375 in 6 months. At this rate, how much will he save in 2 years?

Answers

At this rate he would save 1,500 in 2 years

There are 12 months in a year

12 / 6 = 2 so it’s half

Add 375 4 times which would give me the answer

- If this helped I would appreciate it if you marked this brainlest

find the zeros of the function: to the nearest hundredth

Answers

Answer:

The zeros of the function:

[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=2x^2-17.5x+35.6[/tex]

To find zeros, put f(x)=0

[tex]0=2x^2-17.5x+35.6[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]0\cdot \:10=2x^2\cdot \:10-17.5x\cdot \:10+35.6\cdot \:10[/tex]

[tex]0=20x^2-175x+356[/tex]

switch sides

[tex]20x^2-175x+356=0[/tex]

subtract 356 from both sides

[tex]20x^2-175x+356-356=0-356[/tex]

[tex]20x^2-175x=-356[/tex]

divide both sides by 20

[tex]\frac{20x^2-175x}{20}=\frac{-356}{20}[/tex]

[tex]x^2-\frac{35x}{4}=-\frac{89}{5}[/tex]

[tex]\mathrm{Add\:}a^2=\left(-\frac{35}{8}\right)^2\mathrm{\:to\:both\:sides}[/tex]

[tex]x^2-\frac{35x}{4}+\left(-\frac{35}{8}\right)^2=-\frac{89}{5}+\left(-\frac{35}{8}\right)^2[/tex]

applying perfect square

[tex]\left(x-\frac{35}{8}\right)^2=\frac{429}{320}[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-\frac{35}{8}=\sqrt{\frac{429}{320}}[/tex]

[tex]x=\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]

[tex]x=5.53[/tex]

also solving

[tex]x-\frac{35}{8}=-\sqrt{\frac{429}{320}}[/tex]

[tex]x=-\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]

[tex]x=3.22[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]

Therefore, the zeros of the function:

[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]

A rectangular area of land is being sold off in smaller pieces. The total area of the land is 2^15 square miles. The pieces being sold are 8^3 square miles in size. How many smaller pieces of land can be sold at the stated size? Compute the actual number of pieces.
HELLPP PLS !!!

Answers

The number of smaller pieces of land that can be sold at the stated size is 2^6

How many smaller pieces of land can be sold at the stated size?

The given parameters are:

Total area = 2^15 square miles

Smaller piece = 8^3 square miles

The number of smaller pieces of land that can be sold at the stated size is

Number = Total area/Smaller piece

So, we have:

Number = 2^15/8^3

Rewrite as

Number = 2^15/2^9

Apply the law of indices

Number = 2^6

Hence, the number of smaller pieces of land that can be sold at the stated size is 2^6

Answers

Answer:

i thnk it is c correct me if i am rong

Step-by-step explanation:

Answer:

Step-by-step explanation:

on edge

What is the step by step equation for the problem
6(5x - 7) = -3(4x + 7) + 6

Answers

Answer:

[tex]x = \frac{9}{14} [/tex]

Step-by-step explanation:

6 (5x - 7) = -3 (4x + 7) + 6

30x - 42 = -12x - 21 + 6

30x - 42 = -12x - 15

30x + 12x = -15 + 42

42x = 27 ÷ 42

x = 27/42

simplify with factor 3

[tex]x = \frac{9}{14} [/tex]

Diet cola was on sale last week; it cost $10 for every 4 liters of diet cola. How many liters do you get per dollar?

Answers

Answer:

you get 0.4 litres for every dollar

Divide 2x^4+5x^3+11x^2+8x by x^2+x

Answers

Attached you will find a step by step solution.

Hope this helps 2x2+3x+8

PLEASE HELP ASAP! BRISNLIEST! Write the equation of each graph.

Answers

Answer:

-x^2-2x+3

1/2x^2-2x-1

Step-by-step explanation:

Find an acute angle that satisfies csc Theta=3.1297

Answers

The acute angle that satisfies the equation is 18.6 degrees

How to find an acute angle that satisfies the equation?

The equation is given as

csc Theta = 3.1297

Rewrite properly as

csc(∅) = 3.1297

In trigonometry

csc(∅) = 1/sin(∅)

So, we have

1/sin(∅) = 3.1297

This means that

sin(∅) = 1/3.1297

Evaluate the expression

sin(∅) = 0.3195

Take the arc sin of both sides

∅ = sin-1(0.3195)

Evaluate the arcsin expression

So, we have

∅ = 18.6

Hence, the acute angle that satisfies the equation is 18.6 degrees

Answers

I do not know how to do this but i can tell you ^ means exponent not division. So 3^2 would be the same as [tex]3^{2}[/tex]

I = prt Time = 3 years Interest Rate = 5% Principal = $7,430 Use the information to answer the question. How much interest is paid? $111.45 $1,114.50 $11,145 $111,450

Answers

Answer:I = prt

p = 7430

r = 5%....turn to decimal = 0.05

t = 3

I = (7430)(0.05)(3)

I = 1114.50 <===

Step-by-step explanation:

Answer:

I = prt

p = 7430

r = 5%....turn to decimal = 0.05

t = 3

I = (7430)(0.05)(3)

I = 1114.50 <===

Step-by-step explanation:

The variables y and x have a proportional relationship, and y = 7 when x = 2 What is the value of x when y = 212 Enter your answer in the box x = 1

Answers

Answer:

proportional relational ship

y= kx

7 = k2

solve for k

7/2 =k

y = 7/2 x

if y = 21

21 =7/2 x

solve for x

multiply by 2/7 on each side

21* 2/7 = 2/7*7/2 x

6 =x

Which digit is in the thousandth place? 134.927

Answers

Answer:

.007 is in the thousandths place.

Step-by-step explanation:

In decimals it goes tenths, houndredths, thousandths, and so on.

A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile? 1 2 4 7

Answers

Answer:

Step-by-step explanation:

Bluegreen

Bluered

Blueyellow

Greenblue

Greenred

Greenyellow

Redblue

Redgreen

Redyellow

Yellowblue

Yellowgreen

Yellowred

Answer: 7

Step-by-step explanation:

Took on computer

What is the value of f(x)=5-1/2 when x =4

Answers

Answer:

9/2

Step-by-step explanation:

f(x)=5-1/2

plug in 4

f=9/2

9/2

It is 2.1 km from Jessica's house to the nearest mailbox. How far is it in meters?
Be sure to include the correct unit in your answer.

Answers

Answer:

2100 meters

Step-by-step explanation:

REMEMBER: 1 km = 1000 m

2.1 km x 1000= 2100 meters

hope this helps ;)

pleasee helppp insert two arithnetic means between -5 and 1

Answers

Answer:

a₂ = -3

a₃ = -1

Step-by-step explanation:

We have to insert two arithmetic means between -5 and 1

Let a₁ and b₂ be the two arithmetic means between -5 and 1

-5, a₂, a₃, 1

Here,

a₄ = 1a₁ = -5

We know that the nth term of an Arithmetic sequence

aₙ = a₁ + (n-1)d

a₄ = -5 + (4-1)d

1 = -5 + 3d

1 + 5 = 3d

3d = 6

Dividing both sides by 2

d = 2

Also

a₂ = a₁ + (2-1)d

a₂ = -5 + d

a₂ = -5 + 2 ∵ d = 2

a₂ = -3

a₃ = a₁ + (3-1)d

a₃ = -5 + 2d

a₃ = -5 + 2(2) ∵ d = 2

a₃ = -5 + 4

a₃ = -1

Thus,

a₂ = -3

a₃ = -1

Thus, the sequence becomes:

-5, -3, -3, 1

a) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n for some constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3, and assume its density function is fx(x)- B(x2 +1) with some constant B (0< x ,3). Find B.

Answers

Answer:

a) The value of A = 2

b) The value of [tex]B = \dfrac{1}{12}[/tex]

Step-by-step explanation:

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.

Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]

This implies that:

[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]

[tex]A \times \dfrac{1}{2}=1[/tex]

A = 2

Thus, the value of A = 2

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]

where; B is constant.

Then, using the property of the probability density function:

[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]

Taking the integral, we have:

[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]

[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]

[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

[tex]B = \dfrac{1}{12}[/tex]

A line segment has endpoints E(–2, 8) and F(10, –6). What is the midpoint? ( , )

Answers

The midpoint of the line segment with the endpoints is (4, 1)

How to determine the midpoint of the line segment with the endpoints?

The endpoints are given as:

E= (-2,8) and F = (10, -6)

The midpoint of the line segment with the endpoints is calculated as

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have:

Midpoint = 0.5 * (-2 + 10, 8- 6)

Evaluate the sum

So, we have:

Midpoint = 0.5 * (8, 2)

Evaluate the products

So, we have:

Midpoint = (4, 1)

Hence, the midpoint of the line segment with the endpoints is (4, 1)

Answers

Answer:

To the left, the constant is plus 5.

To the right, the constant is plus 42.

Step-by-step explanation:

Figure out the probability below (ONLY REAL ANSWERS PLEASE)

Answers

Answer:

2/35

Step-by-step explanation:

fifteen total, 4 live in Gaston

4/15 times 3/14

because there is only 14 left to be selected and 3 left in Gaston

so 0.05714285714

or 2/35

Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles. Approximately what is the length in centimeters of the Mississippi River on the map?

Answers

Considering the definition of scale, the length of the Mississippi River on the map is 96.667 cm.

Definition of scale

The scale of a cartographic representation, or map scale, is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map.

Scale is the relationship between a real object (for example, the surface of the Earth or a portion of it) and the representation that is made of it.

The scale is represented as a fraction as follows: measured on the map/measured in reality

Length of the Mississippi River on the map

In this case, you know that:

The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles.

Considering the definition of scale, you can calculate the length of the Mississippi River on the map as follow:

5 cm/ 120 miles= measured on the map/2320 miles

(5 cm/ 120 miles)× 2320 miles= measured on the map

96.667 cm= measured on the map

Finally, the length of the Mississippi River on the map is 96.667 cm.

Learn more about scale:

https://brainly.com/question/26467371

https://brainly.com/question/16136369

https://brainly.com/question/9352480

#SPJ1

1500 as a mixed number, please help QUICK

Answers

Answer:

divid 1500 to 50

Step-by-step explanation:

Answer: 1500 0/0

Step-by-step explanation:

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