(0,1)(4,2) find the slope and y-intercept using the point slope formula

Answers

Answer 1

Hello, Jssoyg! I've solved the problem for you below. I hope it helps.

Slope equation is[tex]\frac{y2 - y1}{x2 - x1}[/tex]. The two points are (0,1) and (4,2), so the equation becomes [tex]\frac{2 - 1}{4 - 0} = \frac{1}{4}[/tex]. We now know that the slope is 1/4, so now let's write it in the [tex]y = mx + b[/tex] format. Plug in the m, x, and y values:[tex]2 = 4*\frac{1}{4} + b[/tex].

This becomes [tex]2 = 1 + b[/tex] which means b = 1.

Your answer is y = 1/4x + 1. Hope this was helpful. :D



Related Questions

Help me please that’s easy but....

Answers

Let's resolve the powers of 10 to make them comparable

47000

45000

5000

280000

125000

Now you can see the largest is 280000 and the smallest is 5000

Their difference is 280000 - 5000 = 275000

trinda score 72,67,82, and 79 on her algebra tests . use an inequality to find the minimum score she can make on the final exam to pass the course with an average of 80 or higher

Answers

(72+67+82+79+f)/5 >=80   to find the average we add up all the scores and divide by the number. she took 4 tests plus the final which is 5.  It must be greater than or equal to 80

(300+f)/5>=80  added up the test scores

300+f >= 400  multiply each side by 5

f>= 100  subtract 100 from each side

Trinda needs 100 or greater

Final answer:

To find the minimum score Trinda can make on the final exam to pass the course with an average of 80 or higher, we set up an inequality and solve for the minimum score.

Explanation:

To find the minimum score Trinda can make on the final exam to pass the course with an average of 80 or higher, we can set up an inequality. Let's represent the minimum score as x. The average of Trinda's algebra tests scores is given by: (72 + 67 + 82 + 79 + x) / 5. To pass the course with an average of 80 or higher, the inequality would be: (72 + 67 + 82 + 79 + x) / 5 ≥ 80.

To solve this inequality, we need to multiply both sides by 5 to eliminate the denominator: 72 + 67 + 82 + 79 + x ≥ 80 * 5. Simplifying this, we get: 300 + x ≥ 400. To isolate x, we subtract 300 from both sides: x ≥ 100.

Therefore, Trinda needs to score a minimum of 100 on her final exam to pass the course with an average of 80 or higher.

−2 1/2 ÷ 6
A. −2 1/6
B. −5 1/2
C. 5 1/2
D. 2 1/6

Answers

the answer is -  [tex]\frac{5}{12}[/tex]

given - 2 [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{6}{1}[/tex]

change the mixed number to an improper fraction

- 2 [tex]\frac{1}{2}[/tex] = - [tex]\frac{5}{2}[/tex]

• leave the first fraction

• change division to multiplication

• turn the second fraction upside down

- [tex]\frac{5}{2}[/tex]× [tex]\frac{1}{6}[/tex] = - [tex]\frac{5(1)}{2(6)}[/tex] = - [tex]\frac{5}{12}[/tex]


Jones of Boston borrowed $40,000, on a 90-day 10% note. After 60 days, Jones made an initial payment of $6,000. On day 80, Jones made an additional payment of $7,000. Assuming the U.S. Rule, what's the adjusted balance of the first payment? (Use 360 days.)

Answers

Answer:

$34,666.67

Step-by-step explanation:

Step 1: Calculate the interest for 60 days.

(40000*60/360 )* 0.10 = $666.67

Step 2: Amount = Principal + Interest = $40,000 + 666.67 = $40,666.67

Step 3 : After 60 days, he paid $6000.

Remaining balance of the first payment = 40666.67 - 6000 = $34,666.67

Thank you.

Consider the diagram and the derivation below. Given: In △ABC, AD ⊥ BC Derive a formula for the area of △ABC using angle C. It is given that in △ABC, AD ⊥ BC. Using the definition of sine with angle C in △ACD results in sin(C) = . Using the multiplication property of equality to isolate h, the equation becomes bsin(C) = h. Knowing that the formula for the area of a triangle is A = bh is and using the side lengths as shown in the diagram, which expression represents the area of △ABC? bsin(C) absin(C) cbsin(C) hbsin(C) Mark this and return

Answers

Answer:

[tex]A=\frac{1}{2}a*b*sin(C)[/tex]

Step-by-step explanation:

First consider the diagram:

Now, we know that

[tex]Sin(C)=\frac{AD}{AC} \\ Sin(C) =\frac{h}{b} \\h=bsin(C)[/tex]

Now, the area of the triangle ABC is given by,

[tex]A=\frac{1}{2}*BC*AD\\\\A=\frac{1}{2}*a*h\\\\A=\frac{1}{2}*a*c*sin(C)\\\\A=\frac{1}{2}a*b*sin(C)[/tex]


Which phrase correctly orders –23, 11, –17, and 5?


A.
–17 < –23 < 5 < 11

B.
–23 < –17 < 5 < 11

C.
5 < 11 < –17 < –23


D.
–23 < 11 < –17 < 5

Answers

B is in the correct order
B is the correct answer since -23 is the lower at then -17 and so on

What’s 7.3 as a fraction

Answers

1/3

Hope it helps :PPPPPPP

True or false? If you look a true “if then” statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.

Answers

True becauseIf you look a true “if then” statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.

Answer:

It's true

Step-by-step explanation:

A movie rental club charges $4.95 for membership and $18.95 for each month of subscription. If the first month were free, what would be the cost of a yearly membership?

Answers

4.95+(18.95 x 11) = $213.40 a year

It would be $208.45 because u do the membership times 11

(6 1/2+2 3/4)-1.5*(4.5 divided by 0.5)

Answers

Answer:  - (4 1/4)

Solution:

(6 1/2 + 2 3/4) - 1.5*(4.5/0.5)=

(6 0.5 + 2 0.75) - 1.5*(9)=

(6.5+2.75) - 13.5=

(9.25) - 13.5=

- 4.25=

-(4 0.25)=

-(4 1/4)

Write an algebraic expression that models the situation “the piggy bank contained $25, and $1.50 is added each day.” Use d to represent the number of days

a) 25d+1.5

b) 25+1.5d

c) 25d+1.5d

d) 25+(1.5)(7)d

Answers

the answer is b because the piggy bank originally contained $25 and the person adds $1.50 per day.. so: 25+1.5d

NEED ANSWER NOW PLZ WILL MARK BRAINLIEST

Why is diffusion important to cells?

A. it permits the sorting of water molecules from solute molecules, such as sugar.

B. it regulates salt content in the cell, preventing bloating and shriveling.

C. it helps maintain the balance of materials needed for survival, such as oxygen and water.

D. The back and forth movement creates extra energy as ADP is transformed into ATP.

WILL MARK BRAINLIEST

Answers

C is your answer. :)

C. it helps maintain the balance of materials needed for survival, such as oxygen and water.

The number with a prime factorization of 3^4 is _____.

Answers

I think 81 is composite and is 9 squared. 81 = 1 x 81, 3 x 27, or 9 x 9. Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴. Since √81 = 9, a whole number, 81 is a perfect square. Even though it has other factors, the only multiplication fact we use is 9 x 9 = 81.

Answer:

81

Step-by-step explanation:

What is the value of minus 6 x cubed minus y squared minus 3 x y if if x = -2 and y = 4

Answers

Well, "minus 6 x cubed minus y squared minus 3 x y" translates to:

[tex]-6x^{2} -y^{2} -3xy[/tex]

Then, if we insert the values for x and y, we get:

[tex]-6(-2)^{2} -(4)^{2} -3(-2)(4)[/tex]

When we distribute and multiply:

[tex]144-16-24[/tex]

And once we combine like terms:

104 is the answer


The given statement can be written in expression form as

[tex]-6x^3-y^2-3xy[/tex]

As the value of [tex]x=-2[/tex] and [tex]y=4[/tex] are given .

To find the value of expression at the given values of [tex]x[/tex] and [tex]y[/tex] , we have to insert the values into the expression

[tex] -6(-2)^3-(4)^2-3(-2)(4)[/tex]

Now solving by cubing and squaring the numbers

[tex]-6(-8)-16-3(-8)[/tex]

As negative negative is positive and positive negative is negative

[tex] 48-16+24[/tex]

Adding like terms and subtracting we get

[tex]72-16=56[/tex]

56 is the Answer

Hope this will help

There is a "buy 3 get 1 free" sign for candy bars at the store. Each candy bar cost $0.50. What os the price of 12 candy bars?

Answers

$4.50 because 3 were free wich means 9 cost money 9*0.50=4.5

Final answer:

The cost of 12 candy bars with a 'buy 3 get 1 free' offer is $4.50.

Explanation:

To calculate the cost of 12 candy bars under the 'buy 3 get 1 free' deal, we need to divide the 12 by the group size, which is 4 (3 that you pay for + 1 that you get for free). This results in 3 groups. Since you only pay for 3 candy bars in each group, each group will cost you $0.50 x 3 = $1.50. So, the total cost for 12 candy bars is $1.50 x 3 = $4.50.

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Solve the equation 4c2 + 7c – 5 = 0 using the quadratic formfoula

Answers

Answer:

4c² + 7c - 5 = 0

c = (-7 ± √(7² - 4(4)(-5)))/(2(4))

= (-7 ± √(49 + 80))/8

= (-7 ± √129)/8

Final answer:

To solve the equation 4c^2 + 7c - 5 = 0, use the quadratic formula to find the roots by substituting the values of a, b, and c into the formula and solving.

Explanation:

The equation is 4c2 + 7c - 5 = 0.

Using the quadratic formula:

Identify a = 4, b = 7, and c = -5.

Substitute into the formula: c = (-b ± √(b2 - 4ac)) / 2a.

Calculate the roots by plugging in the values: c = (-7 ± √(72 - 4*4*(-5))) / 2*4.

c = 0.66

Simplify: x+2/x^2-6x-16 ÷ 1/9x

Answers

Answer:

Step-by-step explanation:

what is the answer 27.9+212.5

Answers

27.9+212.5= 240.4
Hope I helped!

*(Step-By-Step Instructions)*=

[tex].9+.5[/tex]                Add in the tenths place

[tex]7+2+1[/tex]               Add in the ones place with a one from the previous step

[tex]2+1+1[/tex]               Add in the tens place with a one from the previous step

*(Answer)*= 240.4


what is the decimal multiplier to increase by 3%?

Answers

If you want to increase something by 3%, you would ADD 100% to it, so:
3% + 100% = 103%
Then you divide it by 100 to turn it into a decimal, so:
103% / 100 = 1.03
So to increase by 3%, the multiplier would be 1.03



If you wanted to decrease by 3%, you would SUBTRACT 100% from 3%, so:
100% - 3% = 97%
And then you would divide 97% by 100 to turn it into a decimal (multiplier), so:
97% / 100 = 0.97
So to decrease by 3%, the multiplier would be 0.97

The decimal multiplier to increase by 3% will be equal to 1.03.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Let the number be 100.

So, as a whole, it is 100%

Then, let's increase it by 3%,

(100 + 3)%

= 103%

So, in decimal form,

103/100 = 1.03

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Find the LCM of 21 and 27

Answers

The correct Answer:

LCM = 189

for the values:

27, 21


factorization of 21

21 = 3 × 7

factorization of 27

27 = 3 × 3 × 3

LCM = 3 × 3 × 3 × 7

LCM = 189

2. In a random sample of 130 World Campus students, 92 were employed full-time.


We want use these data to construct a 95% confidence interval to estimate the proportion of all World Campus students who are employed full-time. Is it appropriate to use the normal approximation method? Show how you checked assumptions.

Answers

Answer:


Step-by-step explanation:

Given that sample size is 130 >30.  Also by central limit theorem, we know that mean (here proportion) of all means of different samples would tend to become normal with mean = average of all means(here proportions)

Hence we can assume normality assumptions here.

Proportion sample given = 92/130 = 0.7077

The mean proportion of different samples for large sample size will follow normal with mean = sample proportion and std error = square root of p(1-p)/n

Hence mean proportion p= 0.7077

q = 1-p =0.2923

Std error = 0.0399

For 95% confidence interval we find that z critical for 95% two tailed is 1,.96

Hence margin of error = + or - 1.96(std error)

= 0.0782

Confidence interval = (p-margin of error, p+margin of error)

= (0.7077-0.0782,0.7077+0.0782)

=(0.6295, 0.7859)

We are 95% confident that average of sample proportions of different samples would lie within these values in the interval for large sample sizes.

A grocery store has 184 shelves for bottled goods. Each shelf can hold 27 bottles. How many bottles will the shelves hold in all?

Answers

Each shelve will hold 7 bottles.

they can hold 4,968 bottles

the length of a rectangular swimming pool is triple its width the pool covers an area of 192 m squared

Answers

Final answer:

To find the dimensions of the rectangular swimming pool, we can use the formula for the area of a rectangle. The width is 8 meters and the length is 24 meters.

Explanation:

To find the dimensions of the rectangular swimming pool, let's assume the width to be 'w' meters. According to the given information, the length of the pool is triple the width, which means the length is 3w meters. To find the area of the pool, we can use the formula: Area = Length × Width.

Given that the area of the pool is 192 m², we can substitute the values into the formula as follows:

192 = (3w) × w

192 = 3w²

Dividing both sides of the equation by 3, we get:

w² = 64

Taking the square root of both sides of the equation, we get:

w = ±8

Since the width cannot be negative, the width of the pool is 8 meters. The length of the pool can be calculated by multiplying the width by 3:

Length = 3 × 8 = 24 meters

Therefore, the dimensions of the rectangular swimming pool are 8 meters by 24 meters.

plsss answer , thank youuuu

Answers

Hi

The answer is

A) The term 8f represents the cost of f stems of flowers at $8 per stem.


Thank you.

For this case we have the following expression:

[tex]13v + 8f + 6b + 3m\\[/tex]

That represents the total cost, in dollars, of the silk floral arrangements.

The variables are the following:

v: number of vases

f: amount of stems of flowers

b: quantity of stems of wood bark

m: number of packages of marbles

Thus, 8f Represents the cost associated with the quantity of stems of flowers, where f represents that amount

Answer:

option A

PLZ HELP ASAP NEED ANSWER NOW Which factor most directly affects kinetic energy?
A mass
B density
C elasticity
D height

Answers

Mass. It and velocity affects kinetic energy.

Answer:

The factor that most directly affects kinetic energy is,
A: Mass

Suppose you were slapping a metal sphere back and forth between your hands, it wouldn't be very fluid. Then slap a fluffy cotton ball back and forth, little resistance. Because it has lass mass.

What is the best way to display a set of data with a wide range, where we want to be able to find the measures of central tendency using the display?

frequency table
line plot
stem-and-leaf plot
histogram

Answers

Answer:

stem and leaf plot

Step-by-step explanation:

Final answer:

A histogram is the best choice for displaying a set of data with a wide range to find measures of central tendency, as it effectively groups continuous data into frequency bins.

Explanation:

To display a set of data with a wide range, particularly when looking to find measures of central tendency, a histogram is typically the best choice. A histogram allows you to see the data's distribution by grouping data into 'bins' of equal width. Unlike a bar graph, which is more suitable for discrete categories, a histogram's contiguous rectangles make it ideal for showing the frequency of continuous data. Each bar on the histogram represents the frequency of data within a particular interval, giving an immediate visual summary of the data. This makes it easier to estimate the measures of central tendency such as the mean, median, and mode.

A stem-and-leaf plot could also be useful for smaller data sets, as it displays all data values which assist in identifying the central tendency measures directly. However, for larger and continuous data sets, the histogram is more efficient. A frequency table is another option for displaying the frequency of data grouped into ranges, making it possible to calculate the central tendency measures.

Fill in blanks to make equation true. 3 •1/3 = ________

Answers

im pretty sure it equals 1

Final answer:

The number to correctly fill in the blank in the equation 3 • 1/3 is 1. This is because multiplying 3 by 1/3 is the same as dividing 3 by 3, which equals 1.

Explanation:

In the given equation 3 • 1/3 = ____, you are asked to fill in the blank to make the equation true. Remember that '•' is a symbol representing multiplication. When you multiply 3 by 1/3, we are essentially dividing 3 by 3. This operation results in 1, so to make the equation true, you would insert '1' into the blank. Thus, the full equation, solved, is '3 • 1/3 = 1'.

To fill in the blank and make the equation true, we need to multiply 3 by 1/3. The product of 3 and 1/3 is 1. Therefore, 3 * 1/3 = 1.

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Simplify -3[5 - (-8 + 6)]

Answers

First, solve the parenthesis

-8 + 6 = -2

-3[5 - (-2)]

Note that two negatives = one positive

-3[5 - (-2)] = -3[5 + 2]

Simplify. Solve the bracket

-3[5 + 2] = -3[8]

Simplify. Multiply to get the answer

-3 x 8 = -24

-24 is your answer

hope this helps

Answer:

-21

#RoadToGraduation

Step-by-step explanation:

Solve the equation using addition or subtraction.
4=q+13
A q=4
B q=17
C q=-9
D q=-2

Solve the equation using addition or subtraction.
5.5= -2+d
A d=5
B d=7.5
C d=5.5
D d=3.5

Solve the equation using multiplication or division
-7y=28
A y= -4
B y=4
C y=14
D y=35

Solve the equation using multiplication or division
-13 = m/ -5
A m=13/5
B m=45
C m=65
D m= 5/13

Answers

Answer:

1. Solve the equation using addition or subtraction.

[tex]4=q+13[/tex]

Taking like terms on one side, we get

[tex]4-13=q[/tex]

=> [tex]-9=q[/tex]

or [tex]q=-9[/tex]    (option C)

2. Solve the equation using addition or subtraction.  

[tex]5.5= -2+d[/tex]

Taking like terms on one side, we get

[tex]5.5+2=d[/tex]

So, [tex]d=7.5[/tex]    (option B)

3. Solve the equation using multiplication or division

[tex]-7y=28[/tex]

Dividing both sides by 7, we get

[tex]-y=4[/tex]

or [tex]y=-4[/tex]    (option A)

4. Solve the equation using multiplication or division

[tex]-13=\frac{m}{-5}[/tex]

Cross multiplying -13 and -5 to get the value of m

[tex]m=(-13)(-5)[/tex]

[tex]m= 65[/tex]      (option C)

The solutions of the equations are =

1) C) q = -9.

2) B) d = 7.5.

3) A) y = -4.

4) C) m = 65.

Given are the equation we need to solve them,

Let's solve the equations one by one:

1) 4 = q + 13

To isolate q, we can subtract 13 from both sides of the equation:

4 - 13 = q + 13 - 13

-9 = q

Therefore, q = -9.

The correct answer is C) q = -9.

2)5.5 = -2 + d

To isolate d, we can subtract -2 from both sides of the equation:

5.5 - (-2) = -2 + d - (-2)

5.5 + 2 = d

7.5 = d

Therefore, d = 7.5.

The correct answer is B) d = 7.5.

3) -7y = 28

To solve for y, we can divide both sides of the equation by -7:

(-7y) / (-7) = 28 / (-7)

y = -4

Therefore, y = -4.

The correct answer is A) y = -4.

4) -13 = m / -5

To isolate m, we can multiply both sides of the equation by -5:

-5 x (-13) = m

65 = m

Therefore, m = 65.

The correct answer is C) m = 65.

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The result of multiplying two or more numbers is a____

Answers

The answer is: Product.

The explanation for this completion exercise is shown below:

By definition, a product is the result of multiply two or more factors. For example:

[tex](6)(2)=12[/tex] (The factors are 6 (Multiplier) and 2 (Multiplicand) and the result or the product is 12).

[tex](10)(8)=80[/tex] ( (The factors are 10 (Multiplier) and 8 (Multiplicand) and the result or the product is 80).

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