Determine the equation of the line that passes through (5,2)and has the same y-intercept as y = 3

Answers

Answer 1

Answer:

y = -0.2(x) + 3

Step-by-step explanation:

One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.

Our two points are then (5, 2) and (0,3)

To find the slope, we can use

[tex]\frac{y_2 - y_1}{x_2-x_1} = \frac{3-2}{0-5} \\= \frac{1}{-5} \\= -0.2[/tex]

Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get

2 = -0.2 (5)  +b

2 = -1 + b

add 1 to both sides to isolate the b

b = 3

Our formula is thus

y = -0.2(x) + 3


Related Questions

3) The triangles shown are congruent using ASA, but they arb not marked completely. Mark the corresponding parts in this drawing that must be congruent in order to apply the ASA. Then write the congruence statement in the spaces provided. (2 pts) CAB FDE ____=____

Answers

Answer:

angle A = Angle E

ΔCAB ≅ΔFED

Step-by-step explanation:

ASA  means Angle side Angle Where the side is between the two angles

We have an angle C= F  and a side AC = EF

We need angle A = Angle E

ΔCAB ≅ΔFED

Question 2 of 10
If you apply the changes below to the quadratic parent function, f(x) = x2,
what is the equation of the new function?
• Shift 1 unit left.
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
A. g(x) = -3(x-1)2
B. g(x) = -3(x + 1)2
C. g(x) = (-3x+1)
D. g(x) = -3x2 - 1

Answers

Given:

The parent function is:

[tex]f(x)=x^2[/tex]

This function shift 1 unit left, vertically stretch by a factor of 3 and reflected over the x-axis.

To find:

The function after the given transformations.

Step-by-step explanation:

The transformation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                ... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If k<0, then the graph of f(x) is reflected over the x-axis.

If 0<|k|<1, then the graph compressed vertically by factor |k| and if |k|>1, then the graph stretch vertically by factor |k|.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that the graph of f(x) shifts 1 unit left, so a=1.

The graph of f(x) vertically stretch by a factor of 3, so |k|=3.

The graph of f(x) reflected over the x-axis, so k=-3.

There is no vertical shift, so b=0.

Putting [tex]a=1,k=-3,b=0[/tex] in (i), we get

[tex]g(x)=-3f(x+1)+0[/tex]

[tex]g(x)=-3f(x+1)[/tex]

[tex]g(x)=-3(x+1)^2[/tex]                     [tex][\because f(x)=x^2][/tex]

Therefore, the correct option is B.

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

Answer:

1) y= 2x

for every 5 x-steps to the right the graph goes up by ten. 10/5 is simplified to 2/1 or just 2

it starts at 0/0, so no need to add and absolute value

2) x: number of days

y: number of vidits (roughly2 per day, but you don't need to write this in the box)

3) 35 days. it's just y=70

and we could write this as

70 = 2*x | devide by 2 on both sides to get x

35 = x

48 ÷ (7 x 5 - 3 x 9) whoever gets the answer right, gets brainliest and 47 points. please help fast!

Answers

48 ÷ (7 x 5 - 3 x 9)

= 48 ÷ (35 - 27)

= 48 ÷ 8

= 6

Step-by-step explanation:

only half of your points for each answer ;)

Answer: 6

Step-by-step explanation:

Because of PEMDAS, you do 7x5 which is 35 than 3x9 which is 27. Then you subtract those and get 8. After you finish what's in the parenthesis, you divide 48 by 8 which is 6.

Suppose that the 100 people in society C all know the same 10 facts, while the 10 people in society D specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, how many times better is the standard of living in society D

Answers

Answer:

29 times

Step-by-step explanation:

Given :

Society C ;

Population = 100

Number of facts known = 10

Average fact known per person = known fact / population = 10 / 100 = 0.1

Society D:

Population = 19

Common fact = 5

Specialized fact = 5 * 10 = 50

Total facts = 55

Average fact known per person = 55 / 19 = 2.8947368 fact per person

Number of times society D is better :

2.8947368 / 0.1 = 28.947 times

Approximately 29 times

what is the corrct answer​

Answers

D is the right answer

4. 12 ½ % of a sum of money is $40. What is the sum of money?

Answers

Answer:

$320

Step-by-step explanation:

12.5 % is 40

12.5% is 8% of 100%

so do 40 x 8 = 320

EVALUATE 5/9 -1/4.............

Answers

Answer:

11/36

Step-by-step explanation:

Answer:

0.30555555555

Step-by-step explanation:

PLEASE HELP its urgent! If answer is right I'll mark as brainliest:)
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.006 Newtons when the distance between the objects is 3 metres.
Work out d (rounded to 2 DP) when F=0.035 Newtons.​

Answers

Answer:

1.24 m

Step-by-step explanation:

F ∝ 1/d²

F = k/d²

Use values given to solve for k

0.006 = k/3²

k  = 0.054 (I multiplied both sides by 3² in the equation above)

New equation is F= 0.054/d²

Plug in your numbers so 0.035 = 0.054/d²

0.054/0.035 = d²

You can simplify if you want so d² = 54/35

Square root both sides to solve for d

√54/35 = 1.24 m

If a computer prints 225 lines in 3 seconds how many lines can it print per minute

Answers

Answer:

225 lines    *  60 seconds   = 13500 lines = 4500 lines

3 Seconds     1   minute             3 minutes       1   minute

Step-by-step explanation:

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?

Answers

Answer:

4 miles apart. the answer this question.

Please help!!!!!!!!!!!!

Answers

y=1/3x-3

Forgive me if I am wrong

Answer please thanks. Brainliest

Answers

Answer:

its the 3rd answer

Step-by-step explanation:

Answer:

t-h=negative

Step-by-step explanation:

Can some please help me? ~ASAP~

Answers

Answer:

B 12 ^ 1/2  x^ 3/2

Step-by-step explanation:

sqrt( 12x^3)

Rewriting the square root as a fractional power

12 ^ 1/2 x^3^1/2

We know that a^b^c = a^ (b*c)

12 ^ 1/2  x^ 3/2

Answer:

B. 12^1/2 x^3/2

Step-by-step explanation:

For example, x^3/2 is equivalent to √x³. The numerator of the exponent represents that number's exponent and the denominator represents the number root.

Mark is receiving a pay rise of 7%. He currently earns £15,000. How much will Mark earn after his pay rise?

Answers

Answer:

£16,050

Step-by-step explanation:

Mark's current pay is £15,000.

His pay raise is 0.07(£15,000), or £1,050

His new pay is the sum of these two results:  £15,000 + £1,050 = £16,050

SOMEONE PLEASE HELP ME WITH THIS QUESTION. A circle has a circumference of 36.
What is the area of the circle? Take the pi to be 3.142. State the answer to the nearest whole
number.​

Answers

Answer:

The correct answer is - 103.13

Step-by-step explanation:

Given:

Circumference (C) = 36

Area =?

Formula:

Formula of area

A=πr2

formula of circumference

C=2πr

Solution:

C= 36 given so

36 = 2*3.142*r (r is radius)

r = 36/6.284

= 5.729

Putting the value of r in the formula of Solving for Area

A = 3.142*(5.729)^2

= 3.142*32,821

= 103.1124 or 102.3

Jessie made 312 energy bars. She puts 24 bars in each bag. She plans to sell the bags for $6 each. How much will she earn if she sells all of the bags? Will give brainliest.

Answers

Answer:

she will make 78 dollars

Step-by-step explanation:

312 divided by 24 is `13

13 times 6 is 78

What is the answer to this

Answers

umm I don't know hehe oops

Answer:

Length of old board = 68.2cm

Step-by-step explanation:

Let old board length be x

Given new board is 120 % longer than old board = x + 120% of x

Length of new board = 150cm

Therefore,

x + 120% of x = 150

[tex]x + \frac{120}{100} x = 150\\\\x + 1.20x = 150\\\\2.2x = 150 \\\\x = 68.18 = 68.2cm[/tex]

Hhhheeeelllllpppppppp

Answers

Answer:

35square meters

Step-by-step explanation:

5×7=35

Suppose your mother can clean your kitchen in 30 minutes. You can clean the kitchen in 45 minutes. How long will it take you and your mother to clean the kitchen working together? (write equation and show work to solve)

Answers

Answer:

it will take 18 min

Step-by-step explanation:

1/45+1/30=2/90+4/90=5/90=90 divided by 5 is 18

18/30
G
35 m
Find the value of x:
H
18 m
30 m

Answers

Answer:

21 is the answer

Step-by-step explanation:

from the figure it can be seen that

angle G = angle J

angle H = angle K and

angle I = angle L

thus triangle GHI is similar to triangle JKL and in 2 similar triangles the ratio of their corresponding sides is same. that means

[tex] \frac{hi}{kl} = \frac{gi}{jl} \\ \frac{18}{30} = \frac{x}{35} \\ x = \frac{18}{30} \times 35 \\ x = \frac{3}{5} \times 35 \\ x = 3 \times 7 \\ x = 21[/tex]

There were 24 1/4 crates of tomatoes in the barn but 7 3/5 crates of tomatoes were rotten and had to be thrown out. Joe sold 8 1/3 crates and canned 7 5/6 crates of tomatoes. How many crates of tomatoes were left?

Answers

Answer:

29/60 of the crates are left behind.

Step-by-step explanation:

Total number of crates = 24 1/4= 97/4

Rotten tomatoes crates = 7 3/5= 38/5

Joe sold crates = 8 1/3= 25/8

Canned  crates of tomatoes =7 5/6= 47/6

Therefore

24 1/4 - 7 3/5 - 8 1/3 - 7 5/6

= 97/4-38/5-25/3-47/6

= (97*5-38*4)/20  - (25*2+47)/6

= 485-152/20 - 97/6

= 333/20-97/6

= 333*3-97*10/60

=999-970/60

=29/60

29/60 of the crates are left behind.

This question is solved in 2 steps.

First the LCM of fraction 1 and 2 is taken separately from the LCM of fraction 3 and 4 for simplification purposes.

Then again the LCM is taken for the answers obtained from fraction 1&2 and fraction 3& 4.

A researcher wanted to know if there was a difference in fall and spring semester tuition at universities across the U.S. His study took a random sample of 200 universities, had a p-value of 0.013 and found that the tuition had increased by an average of $0.35 between fall and spring semester. What can be said about the results of this study

Answers

Answer:

The given parameters of the study are;

The number of people in the sample, n = 200

The p-value = 0.013

The average increase between fall and spring semester = $0.35

Therefore, we have;

Given that the p-value is less than 0.05, we reject the null hypothesis, and that there is significant statistical evidence to suggest that there is a difference between the fall and spring semester tuition at universities across the U.S.

Step-by-step explanation:

The result of the test hypothesis is incorrect or should be rejected.

What is P-value?

Researchers frequently use P-values to determine if a trend they've seen is statistically significant. The p-value of a statistical test is small enough to reject the null hypothesis of the test, which is referred to as statistical significance.

What is the significance of the P-value?

The likelihood that the null hypothesis is true is P > 0.05. The likelihood that the alternative hypothesis is correct is (1-P) the P-value. The test hypothesis is incorrect or should be rejected if the test result is statistically significant (P≤0.05). There was no effect if the P-value was bigger than 0.05.

We reject the null hypothesis since the p-value is less than 0.05, and there is strong statistical evidence to imply that there is a difference between autumn and spring semester tuition at institutions across the United States.

Hence, the result of the test hypothesis is incorrect or should be rejected.

Learn more about P-Value:

https://brainly.com/question/15407907

helppppopoop help help help

Answers

Answer:

160

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

VOLUME...

1) π*r^2*h

π*(2.5)^2 *h

(π)*(2.5)^2* 6

= 117.8

2) π*r^2*h + 1/2 *[(4/3) · π · r3]

(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]

        84.8+ 56.5 = 141.41

3) (1/3) π*r^2*h

(1/3) π*3^2*h

3^2 + h^2 = 36

h = sqrt(27) = 5.1

(1/3) π*3^2*5.1

= 48.06

|7|

What does this mean?

Answers

Absolute value of 7. Any real numbers in the absolute sign would equal to the positive value.

Definition

[tex] \large \boxed{ |x| = \begin{cases} x \: \: \: \: (x \geqslant 0) \\ - x \: \: \: \: (x < 0) \end{cases}}[/tex]

If we substitute x = 7 in. Answer by using the definition of absolute value. Note that we only substitute x = 7 in x and not -x since 7 is greater than 0 and not less than 0.

[tex] \large{ |7| = 7 \: \: \: \: (x \geqslant 0)}[/tex]

You may also be wondering what will happen if we substitute x = any negative numbers.

[tex] \large{ | - 7| = - ( - 7) \: \: \: \: (x < 0)} \\ \large \boxed{ | - 7| = 7}[/tex]

Because -7 is less than 0. We substitute in -x and not x. This is the definition of absolute value. But to understand it easily, any numbers in absolute value have to equal to their positive value.

Conclusion

|7| means the absolute value of 7.|7| is 7.|x| is x when x ≥ 0 but -x when x < 0

Let me know if you have any doubts regarding the absolute value through comment!

a+b+c=68
a-b=5
b:c=3
-------------------
a,b,c=?
-------------------

Answers

Answer:

a = 32

b= 27

c = 9

Step-by-step explanation:

a= 5+ b from the second equation

c= b/3 from the third equation

substitute the above equations to the first equation then solve for b your answer will be 27

substitute the value of b in the second equation you will solve for a

perform the same substitution to the third equation you will get the answer for c

Step-by-step explanation:

a-b=5<=>a=5+b (1)

b:c=3<=>b=3c (2)

a+b+c=68<=>5+b+3c+c=68<=>5+3c+3c+c=68

<=>7c=63<=>c=9

Fill in (2), we have b=3c=3.9=27

and in (1), we have a=5+b=5+27=32

So, a=32, b=27, c=9

Please helpppppp 7th grade mathhh

Answers

Answer:

10 quarts

thank you

i think

Answer: 20 quarts

Step by step explanation: Solve for x
2 gallons/ 8 quarts = 5 gallons/ x quarts
2x=40
x=20

help please!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

.........................

Simplify cot x - cos to the power 3 x csc x

Answers

The answer in the picture
I hope it will helpful for u

Complete the table for the given rule. Rule: y = x + 3

Answers

Answer:

Step-by-step explanation:

since there is no table included with the question I'm concluding that you need to find values of y using values of x, simply substitute the x values in the equation and you'll get the y value like this

if x = 1 y = 4

Answer:

x - 0 1 2 3 4 5

y - 3 4 5 6 7 8

It is very simple, all you have to do is add three to x every time, for example if x is 153, y will be 156. 3 should be the beginning, the y intercept in graphs, and the beginning means x should be 0.

Other Questions
A.)90B.)80C.)56D.)24 A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section? solve m-13=8 please help me Why is the temperature at the extremities, such as the fingers,sometimes colder than the core body temperature?O A. So that less energy is lost in cold environments.OB. The fingers need to be colder to protect the durability of the nails.C. The fingers do not have thermoregulation mechanisms.D. So that more energy is lost in cold environments. A 4.04 kg block slides down a smooth, frictionless plane having an inclination of 30. The acceleration of gravity is 9.8 m/s^2. The acceleration of the plane is 4.9What is the magnitude of the perpendicular force that the block exerts on the surface of the plane at a distance of 2.37 m down the incline?Answer in units of N. Part F What geological processes do the straw and the blow dryer represent? Need answer fasttt Find the volume of a pyramid with a square base, where the side length of the base is11.5 in and the height of the pyramid is 6.7 in. Round your answer to the nearesttenth of a cubic inch. The purpose of fractional reserve banking is to: anyone can help with this ? please help ty !!! :) According to Archimedes' principle, when will an object float in water?A. When its volume is less than the volume of water it displacesB. When its weight is equal to the buoyant force exerted by the waterC. When its density is greater than the density of waterD. When its weight is greater than the weight of water it displaces Simplify by rationalizing the denominator.152 / 270 I will give u brainliest and 5 star and thanks if its correct what is the correct answer 18. What is the cost of 6kg of peanuts at $ 45 per 500 g ? Consider the expression below. Assume the variable m represents an integer. 6m(3m + 21) Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.) 6m(3m + 21) = 9 Given that m represents an integer, is 6m(3m + 21) divisible by 9? Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions. Help With the answer Please ?????? How much would $500 invested at 6% interest compounded monthly beworth after 5 years? Round your answer to the nearest cent.intA09) P(124A. $512.63B. $669.11C. $674.43D. $886.41 The country fair was fun-filled with the following carnival rides roller coaster Ferris wheel and freefallWhat is the correct way to rewrite this sentence? A. The country fair was fun-filled with the following; carnival rides; roller coaster; Ferris wheel and freefall. B. The country fair was fun-filled with the following carnival rides: roller coaster, Ferris wheel, and freefall. C. The country fair was fun-filled, with the following carnival rides roller coaster, Ferris wheel, and freefall. D. The country fair was fun-filled, with the following carnival rides roller coaster, Ferris wheel and freefall.