Mathematics College

Write an equation that represents the line.
Use exact numbers.

Write An Equation That Represents The Line.Use Exact Numbers.

Answers

Answer 1

Answer:

y = 1.5x + 3

Step-by-step explanation:

Take the two points marked by the blue dots.

(0,3), (2,6)

Start with (0,3). The zero makes the other number with it = to the y intercept.

So far what you know is

General equation: y = mx + b

b = 3

Partial equation: y = mx + 3

Givens

To get m, you need both points.

y2 = 6

y1 = 3

x2 = 2

x1 = 0

Equation

m = (y2 - y1)  / (x2 - x1)

m = (6 - 3) / (2 - 0)

m = 3 / 2

Entire equation

y = 3/2 x + 3

or

y = 1,5x + 3

Related Questions

Select yes or no for each literal equation.

Answers

Answer:

No, Yes, Yes

Step-by-step explanation:

[tex]5x + 2y = 3[/tex]

2y = 3 - 5x

y = (3-5x) / 2

FALSE

[tex] \frac{w + 8}{2} = p[/tex]

2P = w + 8

w = 2P - 8

TRUE

[tex]ax + by = c[/tex]

by = c - ax

y = (c - ax) / b

TRUE

A sequence is defined recursively by

a1=4

an=34an−1

What is the explicit form of this sequence?

Answers

9514 1404 393

Answer:

  an = 4×34^(n-1)

Step-by-step explanation:

If your recursive definition is ...

  [tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]

this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...

  [tex]a_n=a_1\times r^{n-1}[/tex]

For the values shown here, the explicit definition of the sequence is ...

  [tex]\boxed{a_n=4\times 34^{n-1}}[/tex]

help for brainliest also 30 points

Answers

[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)

[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]

[tex]\\ \sf\longmapsto 6x-4x=56[/tex]

[tex]\\ \sf\longmapsto 2x=56[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

find c. 2cm 15 degrees 105 degrees C= [?]cm

Answers

Answer:

the answer is 122cm

Step-by-step explanation:

105cm+15cm+2cm=122cm

If f(x) is a linear function, what is the value of n?
Х
-4
f(x)
1-25
-10
-1
n
20
2
4
9

Answers

Answer:

The value of n is 5.

Step-by-step explanation:

We have been given that f(x) is a linear function and we are asked to find the value of n from the provided table.

x            f(x)

-4          -25

-1            -10

n             20

First of all we will find the slope of the given using our given points (-4,-25) and (-1,-10) in slope formula.

m = y2-y1/x2-x1

Upon substituting coordinates of our given points we will get,

m = -10--25/-1--4

m = -10+25/-1+4

m = 15/3

m = 5

Since we know that the equation of a line in slope-intercept form is:

y = mx + b,where, m= Slope and b= y-intercept.

Upon substituting m = 5 in slope-intercept form of equation we will get,

y = 5x + b

Now let us find y-intercept by substituting coordinates of one point in our given line.

-10 = 5(-1) + b

-10 = -5 + b

-10 + 5 = -5 + 5 + b

-5 = b

y = 5x - 5

Now let us find value of n by substituting x = n and y = 20 in our equation.

20 = 5 * n - 5

20 + 5 = 5 * n - 5 + 5

25 = 5 * n

25/5 = 5 * n/5

5 = n

Therefore, the value of n is 5.

What is the solution to the following equation? Please help!

Answers

Answer :

D

Step By Step Explanation :

Supposed the length of a rectangle is three times the width and the area is 300 ft.² then what is the width of the rectangle in feet

Answers

Step-by-step explanation:

the area is

A = length × width.

length = 3 × width

=>

A = 3 × width × width = 3 × width²

300 = 3 × width²

100 = width²

width = 10 ft

1. Scale 1 cm = 250 km
25
Using the scale above, calculate to find how
many km are in the following map distances:
a.) 2 cm =
km
b.) 5 cm
km
c.) 3 cm=
km

Answers

Answer:

a= 500km b= 1,250 c= 750

Step-by-step explanation:

a= 250x2=500km

b= 250x5=1,250km

c= 250x3=750km

On Mrs. Sean's desk,
there are pink and yellow
markers. The ratio of pink
markers to total markers
is 1:3. If there are 16
yellow markers, then how
many markershare pink?

Answers

Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.

Number of yellow markers given = 16

Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:

= 1/2 × 16

= 8 markers

Therefore, the total markers will be:

= 8 + 16 = 24

In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.

Read related link on:

https://brainly.com/question/25265419

Simplify each expression.
(a^2b^-3/a^-2b^2)2

Answers

Answer: a^8/b^10

Step-by-step explanation:in the picture

A class has 40 students. Number of boys are 6 more than girls. Find number of boys
and girls in the class.

Answers

Basically let's represent the number of girls with x.

There are 6 more boys than girls, so x+6

Let's sum it all up

x+x+6=40

Collect like terms;

2x+6=40

2x=40-6

2x= 34

Divide both sides by 2

x=17

17+6=23

Therefore there are 17 girls in the class and 23 boys.

please mark Brainliest.

A rectangular solid measures 150cm by 100cm by 200cm calculate the volume, in cm3 and in dm3 show conversion factors

Answers

Answer:

3000000cm³

3000dm³

Step-by-step explanation:

150cm x 100cm x 200cm = 3000000cm³

[tex](3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} [/tex]

Caleb wants to rent a kayak. Kayak rentals cost $70.58  for a half hour. If Caleb rents a kayak for 5.0 hours, how much will it cost him?

Answers

Answer:[tex]{ \times 2 + \times - 20} \div { \times - 4[/tex]

Step-by-step explanation:

divide each of the following: using the two methods

The weight of two fish tighter is 16 kg. If one fish weight is 10.5 kg, find the ratio of
the weight of the smaller fish to that of the bigger fish.

Answers

here you go this is the answer

How many distinct lines of symmetry does the image have?
The image has rotational symmetry after rotating every

Answers

Answer:

1) 6 lines of symmetry

2) 360 ÷ 6 = 60°

9. Write an equation of a parabola that opens to the right, has a vertex at the origin, and a focus at (7,0).

Answers

Answer:

[tex]x = \frac{1}{28} y^{2}[/tex]

Step-by-step explanation:

parabola equation with vertex (0 , 0) and focus length |f| = 7

4*f*(x - h) = (y - k)²

4*7*(x-0)=(y-0)²

28x = y²

[tex]x = \frac{1}{28} y^{2}[/tex]

Triangle KLM is similar to triangle NOP. Find the measure of side PN. Figures are not
drawn to scale.

Answers

Answer:

look at the photo............

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.


Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.


p(x) =

Answers

9514 1404 393

Answer:

  p(x) = -x^2 +2x +24

Step-by-step explanation:

When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.

  p(x) = -(x +4)(x -6)

  p(x) = -x^2 +2x +24

choose all numbers that round to 30,000 when rounded to the nearest ten thousand
a. 28,5602
b. 20,347
c. 27,563
d. 22,547

Answers

Answer:

A & C

Step-by-step explanation:

I need the answer ASAP

Answers

Answer:

It would be 120 inches squared.

Step-by-step explanation:

12 x 8 = 96

6 x 4 = 24 / 2 = 12

12 x 2 = 24

96 + 24 = 120 inches squared

Answer: 80 in 2 cm

Step-by-step explanation: so if you add you can find it but add you answer you get 2 times and round to the nearest ten and you have your answer.

Keith plays basketball at a gym. He can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit. Which two equations represent the two options for his
number of visits with his total ccost?

Answers

Step-by-step explanation:

Got it. Hope this will help.

Frank Camp's regular hourly pay rate is $11.87 an hour. His overtime pay rate is time and-a-half. How much
is Frank paid per hour for overtime work?

Answers

Answer:

$17.81

Step-by-step explanation:

11.87 x 1.5 = 17.805

Select the correct answer.
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
Y - 1 = (x + 5)y - 1 = (x + 5)
y - 5 = (x - 1)y - 5 = (x - 1)
y + 1 = (20 – 5)y + 1 = (x - 5)
y + 5 = (x + 1)y + 5 = (1 + 1)

Please I need answer ASAP!! I’ll make you brainliest!!

Answers

Answer:b

Step-by-step explanation:

Our material handlers make $15 per hour, and it takes them about 15 minutes to complete this process. How much is our handling cost?​

Answers

Answer: $3.75

Step-by-step explanation: $15x15=225/60= 3.75

Our material handling cost is $3.75.

What is cost?

A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.

How to find the cost per process?

Material handlers make $15 per hour

If it takes them about 15 minutes to complete this process then process in an hour is 60/15 =4

The cost per process is 15/4 =3.75.

Learn more about cost here- brainly.com/question/25233348

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Solve for x.



5x−2(x+1)=1/4 ​



Enter your answer as a fraction in simplest form in the box.

x =

Answers

Answer:

x=3/4

Step-by-step explanation:

Answer:

X= 3/4

Step-by-step explanation:

Distribute

Combine like terms

Add 2 to both sides of the equation

Simplify

Divide both side s of the equation by the same turm

Simplify

There are 3 feet in 1 yard This is equivalent to 12 feet in 4 yards which proportion can be used to represent this?
oft

Answers

Answer:

3/1 or 12/4

Step-by-step explanation:

This is the case because all you are doing is converting it into a fraction.

. 3 feet to 1 yard- 3/1

.12 feet to 4 yards- 4/12

Find g(x), where g(x) is the reflection across the y-axis of f(x)= –9|x–10|+1.

Answers

Answer:

To reflect a graph, f(x) over the x-axis, you take -f(x).

So if f(x)=x^2, then -f(x) is -x^2.

Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.

Step-by-step explanation:

When a truck full of boxes arrives at the Silvergrove Post Office, Miguel unloads the truck by placing the boxes
on a conveyor belt. Miguel's coworkers are impressed with how fast Miguel does his job. Miguel can unload 10
boxes in 5 minutes. How long does it take him to unload 40 boxes?

Answers

Answer:

20 minutes

Step-by-step explanation:

If Miguel can unload 10 boxes in 5 minutes, that means that he loads 2 boxes per minute. Assuming he he has a constant unloading speed, it would take him 20 minutes to unload all 40 boxes.

I found this by dividing 40 (boxes) by 2 (min per box)

What is the value of k?

help!!!!

Answers

Answer:

k = 10°

Step-by-step explanation:

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ [/tex]

An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ {115}^{o} = 4k + 5 + 6k + 10 \\ {115}^{o} = 10k + 15 \\ {115}^{o} - 15 = 10k \\ {100}^{o} = 10k \\ \frac{100}{10} = k \\ {10}^{o} = k \\ [/tex]

How do you evaluate -98 - 13

Answers

Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

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