Suppose y varies at a constant rate of change of 0.5 with respect to x (so that Δ y = 0.5 ⋅ Δ x ), and y = 1.5 when x = 3 .

Answers

Answer 1

Answer and explanation:

Given the above, we find y in terms x

change in y change in x = 0.5

The formula for a straight line is y= mx+b where m is slope of the line and b is the y intercept

We substitute given values above in the straight line equation:

y=mx+b

1.5= 0.5×3+b

1.5=1.5+b

b= 0

y in terms of x for the line is therefore given by the formula :

y=0.5x+0


Related Questions

What would x and Y be?

Answers

Answer:

6 to the square root of 2

Step-by-step explanation:

square root congruency theorem

PLEASE SOMEONE HELP
solve the equations using substitution method and SHOW YOUR WORK
A. y = 2x + 1
5x + y = 15

B. y = x + 7
4x + 3y = -7

C. y = 1
6x - 8y = 28

D. 2x - 3y = 16
4x + y = 4

Answers

Infinity Many Solutions


- Harvard university professor

TRUE OR FALSE:

5(3t - 6) = 15t - 30

Answers

Answer:

im not 100% sure but i think its false

Step-by-step explanation:

false ! it is false .

n this assignment, you will explore how to find the number of different species of fish in a pond by looking at a random sample of the fish.

Which phrase best describes the total number of brook trout in the pond?
the population of brook trout
the proportion of brook trout
the sample of brook trout
the population of fish

Answers

Answer:the population of brook trout

Step-by-step explanation:

may someone help me with this?? QUESTION: Write the phrase as an expression 5 times a number d An expression is. i put already d-15 but it was wrong so yes i need help

Answers

Answer:

5d

Step-by-step explanation:

five time a number d

5 x d

5d

Please!!! I’ll mark Brainliest!! I really need help!!!

Answers

Answer:

[tex] (x, \: \: y) = (4, \: \: - \frac{1}{4} )[/tex]

Step-by-step explanation:

[tex] \frac{1}{4} x + \cancel{ 1 \frac{1}{2} y} = \frac{5}{8}...(1) \\ \\ \frac{3}{4} x - \cancel{ 1 \frac{1}{2} y} = 3 \frac{3}{8} ...(2) \\ - - - - - - - - - \\(adding\: equations\: 1 \:\&\:2) \\ ( \frac{1}{4} + \frac{3}{4} )x = \frac{5}{8} + 3 \frac{3}{8} \\ \\ \frac{4}{4} x = \frac{5}{8} + \frac{27}{8} \\ \\ x = \frac{32}{8} \\ \\ x = 4 \\ \\ plug \: x = 4 \: in \: equation \: (1) \\ \\ \frac{1}{\cancel 4} \times \cancel 4 + 1 \frac{1}{2} y = \frac{5}{8} \\ \\ 1 + \frac{3}{2} y = \frac{5}{8} \\ \\ \frac{3}{2} y = \frac{5}{8} - 1\\ \\ \frac{3}{2} y = \frac{5 - 8}{8}\\ \\ \frac{3}{2} y = \frac{ - 3}{8}\\ \\ y = \frac{ - 3}{8} \times \frac{2}{3} \\ \\ y = \frac{1}{4} \\ \\ (x, \: \: y) = (4, \: \: - \frac{1}{4} )[/tex]

needs to be turned in soon pls help!!​

Answers

Answer:

Step-by-step explanation:

[tex]12\sqrt{11}=\sqrt{11*12*12}\\\\=\sqrt{1584}[/tex]

3(b+1) +1 = 4b
please hurry i need it now

Answers

Answer:

4=b

Step-by-step explanation:

3b+3+1=4b

3b+4=4b

-3b    -3b

4=b

Can somebody help me with this question. Will mark brainliest.

Answers

Answer:

the two triangles arent similar

Step-by-step explanation:

In order for the two triangles to be similar the sides GR and RA and SR and ST have to have the same ratio and they don't because 45/18 is 4.5 and 36/15 is 2.4.

PLEASE HELP !! i suck at math

Answers

the answer is the last one y=-1/3+3 hopefully this helps :)

The elevator can hold at most 20 people. Which inequality shows the capacity of the elevator.

A

x ≤ 20

B

x > 20

C

x < 20

D

x ≥ 20

Answers

Answer:

A x ≤ 20

Step-by-step explanation:

Why is graphing the best method to solve the following system of equations?
y= 3x + 1
y=x+5

Answers

Answer:

because all the numbers used are whole numbers and as a result will appear clearly on a graph. if there were decimals you would need to estimate and the answer would not be accurate

Which method do you prefer to use: Trig Method or Special Right Triangles

Answers

Answer:

would use the Trig Method.

Step-by-step explanation:

someone please help me with this it’s due today and explain too

Answers

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

you can use the app photo math or mathaway. its help alot the app also explains the work

trigonometry help!! - double angle formulae

Answers

Answer:

The two rules we need to use are:

Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)

And we also know that:

sin^2(a) + cos^2(a) = 1

To solve the relations, we start with the left side and try to construct the right side.

a) Sin(3*A) = sin (2*A + A) = sin(2*A)*cos(A) + sin(A)*cos(2*A)

sin(A + A)*cos(A) + sin(A)*cos(A + A)

(sin(A)*cos(A) + sin(A)*cos(A))*cos(A) + sin(A)*(cos(A)*cos(A) - sin(A)*sin(A))

sin(A)*cos^2(A) + sin(A)*cos^2(A) + sin(A)*cos^2(A) - sin^3(A)

3*sin(A)*cos^2(A) - sin(A)*sin^2(A)

sin(A)*(3*cos^2(A) - sin^2(A))

Now we can add and subtract 4*sin^3(A)

sin(A)*(3*cos^2(A) - sin^2(A)) + 4*sin^3(A) -  4*sin^3(A)

sin(A)*(3*cos^2(A) + 3*sin^2(A)) - 4*sin^3(A)

sin(A)*3*(cos^2(A) + sin^2(A)) - 4*sin^3(A)

3*sin(A) - 4*sin^3(A)

b) Here we do the same as before:

cos(3*A) = 4*cos^3(A) - 3*cos(A)

We start with:

Cos(2*A + A) =  cos(2*A)*cos(A) - sin(2*A)*sin(A)

= cos(A + A)*cos(A) - sin(A + A)*sin(A)

= (cos(A)*cos(A) - sin(A)*sin(A))*cos(A) - ( sin(A)*cos(A) + sin(A)*cos(A))*sin(A)

= (cos^2(A) - sin^2(A))*cos(A) - sin^2(A)*cos(A) - sin^2(A)*cos(A)

= cos^3(A) - 3*sin^2(A)*cos(A)

=  cos(A)*(cos^2(A) - 3*sin^2(A))

now we subtract and add 4*cos^3(A)

= cos(A)*(cos^2(A) - 3*sin^2(A)) + 4*cos^3(A) - 4*cos^3(A)

= cos(A)*(-3*cos^2(A) - 3*sin^2(A)) + 4*cos^3(A)

= cos(A)*(-3)*(cos^2(A) + sin^2(A)) + 4*cos^3(A)

= -3*cos(A) + 4*cos^3(A)

Which expressions are quadratic expressions? Check all that apply.

z2
2x + 7x – 10
2x2 + 9x – 7
500(0.25)t – 1
13x3 + 21x2 – 5

Answers

Answer:

Step-by-step explanation:

the quadratic expression is

2x^2+9x-7

this is the only one

Answer:

2x^2+9x-7

Step-by-step explanation:

PLEASE HELP ME I NEED TO PAST THIS TEST. Jack invests $30,000 with an interest rate of 4.5% compounded quarterly. After 6 years, what is the total amount of Jack's investment?

Enter your answer in the box rounded to the nearest cent.

Answers

Answer:

1350

Step-by-step explanation:

Hope this helps!

An 80% confidence interval for a proportion is found to be (0.27,0.33). What
is the sample proportion?

A. 0.31
B. 0.29
C. 0.33
D. 0.30

Answers

Answer:

.30

Step-by-step explanation:

The sample proportion is option D.

What is the sample proportion?

When repeated random samples of a certain size n are taken from a population of values for a categorical variable, the mean of all sample proportions (p-hat) equals the population percentage (p).

Option D aptly defines the solution.

Learn more about sample proportion here:

https://brainly.com/question/24232216

#SPJ2

Element X is a radioactive isotope such that every 27 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 7900 grams, how much of the element would remain after 12 years, to the nearest whole number?

Answers

Answer:e

Step-by-step explanation:

Answer:

5805

Step-by-step explanation:

A tree is 4
541 feet tall. It is expected to grow by 1 feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years

Answers

Answer:

21 years

Step-by-step explanation:

which of the following represents an element
A O
2
B H2O

C CO2

D NO2​

Answers

Answer:

I believe the answer is O2

Answer:

A. Correct

B. Incorrect

C. Incorrect

D. Incorrect

Step-by-step explanation:

B, C, and D are compounds rather than elements

verifyexperimentally sum of angle of quadrilateral is 360 degree​

Answers

No.of sides=4

sum of angle of quadrilateral

=(n-2)*180°

=(4-2)*180°

=2*180°

=360°

is y=9x-5 proportional?

Answers

Yes it is proportional

can anyone please help ME!:)​

Answers

Answer:

x y

0 0 - this is the y intercept

1 -4

2 -8

3 -12

4 -16

Step-by-step explanation:

Please help me with this x+125+d=1,245

Answers

Answer:

x=1120-d

Step-by-step explanation:

Answer:

x = 1120 - d

Step-by-step explanation:

Hi there!

We can simplify this using orders of operations.

First, subtract 125 from both sides to get x + d = 1120.

To isolate x, just subtract d from both sides.

If you give me a value for d, i can solve the full problem.

I hope this helps!

HeLp meee NeOW If DONT U WILL SUFfEr SEVERE consequences...
The lower a county's economic development, the
A) higher the literacy rate.
B) higher the cost of living.
C) higher costs of education.
D) lower the infant mortality rate.

Answers

Answer:

B

Step-by-step explanation:B

Answer:

the answer to this question is B

What do you call a person with dog ears and tail

Answers

Answer:

a dog

Step-by-step explanation:

Answer:

Dunno...Dog-man?

Step-by-step explanation:

Lemme think about that


Which is of the following is equal to??

Answers

Answer:

The correct answer is the second one.

I'm 100000000000% sure

help me please on this math question

Answers

Answer:

729 * 10^-45

Step-by-step explanation:

Here, we want to expand the value based on the exponent

We have the power multiplying every term in the bracket

That would be;

9^3•10^-45

= 729 * 10^-45

1kg petrol has density of 800kg/m3 find its volume in cm 3

Answers

Answer:

1.25*10-3m^3

Step-by-step explanation:

1kg petrol has density of 800kg/m3 find its volume in cm 3

Given data

mass m= 1kg

density = 800kg/m3

Required

The volume v

We know that

density= mass/volume

so

Volume= mass/density

substute

Volume= 1/800

volume=1.25*10-3m^3

Hence the volume is 1.25*10-3m^3

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