The equation of the straight line that passes through the points (0,0) and (1,4) is,
a) y = 3x + 2
b) y = -x + 4
c) y = -4x + 2
d) y = 4x

Answers

Answer 1

Answer:

d

Step-by-step explanation:

The equation of a line which passes through the origin is

y = mx ( where m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (1, 4)

m = [tex]\frac{4-0}{1-0}[/tex] = 4 , thus

y = 4x → d

Answer 2

Answer:

D

Step-by-step explanation:

Please refer to picture attached.

The best method to deduce if the graph passes through the points mentioned, just substitute the values of x from the point into the equation to deduce if the y value is the same as the value in the point.

The Equation Of The Straight Line That Passes Through The Points (0,0) And (1,4) Is, A) Y = 3x + 2 B)

Related Questions

Which equation solves the real world problem below?

Homer and his family are on a road trip. If they have traveled 14 of the total distance in the past 3 days, what fraction of the total distance did they travel per day?
a) 3 ÷ 1/4=12 b) 3 × 1/4 = 3/4 c) 1/4 ÷ 3 = 1/12 d) 3 + 1/4 3 1/4

Answers

Answer:

d) 3 1/4

Step-by-step explanation:

The equation for the total distance traveled per day is  1/4 ÷ 3 = 1/12 of the total distance

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total distance traveled per day be represented as A

Now , the equation will be

The distance traveled for the last 3 days = 1/4 of the total distance

So ,

Total distance traveled per day = distance traveled for the last 3 days / 3

Substituting the values in the equation , we get

Total distance traveled per day A = ( 1/4 ) / 3

On simplifying the equation , we get

Total distance traveled per day A = 1/12 of the total distance

Hence , the equation is 1/4 ÷ 3 = 1/12

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find the value of x in the picture

Answers

Answer:

x = 38

Step-by-step explanation:

A straight line is 180°. We are given 134 and 84. We can find the value of ∠QLM and ∠QML by taking the given numbers and subtract it from 180:

180 - 134 = 46

180 - 84 = 96

All triangles add up to 180. And we already have two of the angles in the triangle. So to find x, we take 46 and 96, add, and subtract from 180:

46 + 96 = 142

180 - 142 = 38

Answer:

x = 38

Step-by-step explanation:

∠ KLO and ∠ MLO are adjacent and supplementary, thus

∠ MLO = 180° - 134° = 46°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ NMO is an external angle of the triangle, thus

x + 46 = 84 ( subtract 46 from both sides )

x = 38

f(x)=4x^2 + 3x +13 {Find } f(1)

Answers

f(x)=4x^2+3x+13

Plug in x=1:

f(1)=4(1)^2+3(1)+13

=4*1+3+13

=4+16

=20

Answer:

f(1) = 20

Answer:

20

Step-by-step explanation:

There are 1265 students at Cypress Middle School. 42% of the students are enrolled in PE. Which equation could be used to represent the number of students enrolled in PE?

Answers

Answer:

0.42* 1265=x

Step-by-step explanation:

There are 1265 students in Cypress Middle School. So we already know one part of the equation. 42% of these students are in PE. So we know that 42% of  these 1265 students are in PE. Of these means you probably have to multiply 42% and 1265. 42% = 0.42. So to write an equation we take the 0.42 and 1265 and put it together. Therefore, 0.42 times 1265=x.

Write the equation of a line in point-slope form thatſgoes through the coordinate
(4, -3) and has a slope of 7. *

Answers

Answer:

hope this helps you

Given right triangle XYZ, what is the value of tan(60°)? One-half StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartRoot 3 EndRoot StartFraction 2 Over 1 EndFraction

Answers

Answer:

Tan 60 degrees = 1.732 degrees

Step-by-step explanation:

Using trigonometry value, The value of tan(60°) = 1.73205.

What is trigonometry?

Trigonometry is "branch of mathematics with specific function of angles and their applications to calculation".

According to the question,

In right triangle XYZ, the value of tan(60°) = [tex]\frac{1}{\sqrt{3} }[/tex]

= 1.73205.

Hence, Using trigonometry value, The value of tan(60°) = 1.73205.

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Solve the system of equations and choose the correct ordered pair.

3x + 5y = 2 9x +11 y= 14



A. (4, -2)

B. (4,2)

C. (3,-2)

D. (3,2)

Answers

Answer:(4,-2)

Step-by-step explanation: elimination method

3(3x+5y)=2×3

9x+11y=14

9x+15y=6

-

9x+11y=14

4y=-8

y=-2

To get x replace y with -2

3x+(5×-2)=2

3×=12

X=4

Answer:

its A

Step-by-step explanation:

what is the cosine for F?

A. 13/12

B. 13/5

C. 12/13

D. 5/13​

Answers

the cosine for F is A
Pretty sure it’s A :)

Michael is packing his bags for his vacation. He has 5 unique shirts, but only 4 fit in his bag. How many different groups of 4 shirts can he take?

Answers

Answer:

12

Step-by-step explanation:

I think you have to use the product rule for counting- which is where you multiply the two numbers. I'm not sure if this is right but I hope I helped

Answer:

5 shirts

Step-by-step explanation:

Think of this question like this, where each shirt option (5 options) has a number:

Shirt #1, Shirt #2, Shirt #3, Shirt #4, and lastly Shirt #5

Without using much math, the answer is 5 shirts because every possible outcome (of the 4 shirts Michael must pick to bring on vacation) will leave exactly one shirt that he will not be able to pack. The only possible outcomes that would fit this question would be:

1)   Shirt #1, Shirt #2, Shirt #3, and Shirt #4

2)   Shirt #2, Shirt #3, Shirt #4, and Shirt #5

3)   Shirt #3, Shirt #4, Shirt #5, and Shirt #1

4)   Shirt #4, Shirt #5, Shirt #1, and Shirt #2

5)   Shirt #5, Shirt #1, Shirt #2, and Shirt #3

2 Points
Solve 5x - c= k for x.

Answers

Answer:

[tex]x = \frac{c + k}{5} [/tex]

Step-by-step explanation:

[tex]5x - c = k \\ 5x = c + k \\ \frac{5x}{5} = \frac{c + k}{5} \\ x = \frac{c + k}{5} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: x = 1/5c + 1/5k

Step-by-step explanation:

5x - c = k

5x = c + k:

Divide both sides by 5

x = 1/5c + 1/5 k

will mark as brainliest

Answers

85% is the percentage

pls mark as brainliest

Answer::

Step-by-step explanation:

Find the common ratio, the 8th term, the explicit formula, the recursive formula, and the three terms in the sequence after the last one given.

-1,2,-4,8

Answers

Answer:

I am also truly sorry

Step-by-step explanation:

Answer: 29

Step-by-step explanation:

replace n with 8

Annie has an interview at 1.20 pm It will take her 1 hours to travel to the interview. She wants to arrive at least 15 minutes before her interview time. What is the latest time Annie should for the interview?

Answers

Answer:

1:05 pm

Step-by-step explanation:

1:05 pm is the latest time

GHIJ is a parallelogram. find value of x and y. You need to show your work to earn full credit.

Answers

Answer:x=5 and y=8

Step-by-step explanation:

The value of the variable 'x' and 'y' will be 5 and 8, respectively.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals intersect in the center.

GHIJ is a parallelogram. Then the equation is given as,

HI = GJ

5x - 10 = 7x - 20

7x - 5x = 20 - 10

2x = 10

x = 5

Then the other equation is given as,

GH = IJ

3y = 5y - 16

5y - 3y = 16

2y = 16

y = 8

The value of the variable 'x' and 'y' will be 5 and 8, respectively.

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What happens to the mean of the data set {2, 4, 7, 6, 3, 6, 7} if the number 25 is added? the mean a number here by a number here .

Answers

Answer:

The mean will increase by 2.5

Step-by-step explanation:

The mean is just another word for the average of the data set. You can find this by adding all of the values and dividing by the number of values there are. (i.e 2+4+7+6+3+6+7 divided by 7). The original mean is 5. If you add 25, the average will increase to 7.5

Answer:

increased 2.5

Step-by-step explanation:

question #1[tex]6\geq -4x-2[/tex]

Answers

x is greater than or equal to -2

A soccer player is training during pre-season. His trainer tells him to
increase his calorie intake to 3,475 calories per day. How many calories
does the football player consume in 2 weeks?​

Answers

Answer:

48,650

Step-by-step explanation:

3,475 times 14 bc thats how many days are in 2 weeks(obviously)

Function (A or B) has the greater initial value because the initial value for function A is _ and the initial value for Function B is _​
HELP ME PLZZZZZZZZZZ I NEED IT

Answers

Answer:

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

Step-by-step explanation:

The initial value of a function is the output value of the function when the input value is 0

Initial value of A is y=4 at x=0,

and

initial value of B is y=0*6+5= 5 at x=0

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

an algebraic _____ has an equal sign

Answers

Answer:

An algebraic equation has an equal sign.

Step-by-step explanation:

By definition, an equation must have an equal sign. Otherwise, it cannot be considered an equation.

an algebraic EQUATION has an equal sign because it is showing that the two sides are equal. if it was an expression there would be a greater than or less than symbol

Direct Variation: If y = 20, when x = 8, find y when x = 40.


A. 10

B. 80

C. 50

D. 100

Answers

Answer:

D

Step-by-step explanation:

X is increased by a factor of 5, so y should be multiplied by 5 as well. So y = 20*5=100

The answer would be D

Write 2.54 x 10^-6 in standard form

Answers

Answer:

2540000 x

Step-by-step explanation

the answer is 2540000...

There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8
do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a
speaking part?
A: 2/5
B: 1/2
C: 3/5
D: 3/4

Answers

A 2/5 of the students because because 8 out of the 20 students have speaking parts

Taking into account the definition of probability, the correct option is option A.: The probability that the child has a  speaking part is [tex]\frac{2}{5}[/tex].

There are 20 children in the cast of a class play, and 8 of the children are boys. Then,   realizing the difference between the number of children and the number of boys you get that 12 of the children are girls.

On the other side, of the boys, 4 have a speaking part in the play, and of the girls, 8  do not have a speaking part in the play. Then, calculating the difference between the number of girls there are and the number of them that they do not have a speaking part in the play is obtained: 12 girls - 8= 4 girls. So, of the girls, 4  do not have a speaking part in the play.

Therefore, 4 + 4 = 8 of the children have a speaking part.

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]

In this case:

number of favorable cases= 8 of the children have a speaking part.number of possible cases= 20 children

Replacing in the definition of probability:

[tex]P(A)= \frac{8}{20}[/tex]

Simplifying the fraction:

[tex]P(A)= \frac{2}{5}[/tex]

Then, the correct option is option A.: The probability that the child has a  speaking part is [tex]\frac{2}{5}[/tex].

Which linear function represents the line given by the point-slope equation y +1=-3(x–5)?

f(x) = -3x – 6
f(x) = -3x - 4
f(x) = -3x + 16
f(x) = -3x + 14

Answers

Answer:

f(x)=-3x+14

Step-by-step explanation:

y +1=-3(x–5)

y +1=-3x+15

y= -3x+15-1

f(x) = -3x + 14

The answer is if f(x)= -3x+14

Can someone help me?

Answers

Answer:

a=b+12=b=c+4= the relationship between the two of them is 12/3=4

Answer:

a=c+16

Step-by-step explanation:

b=c+4 and a=b+12

so

a=(c+4)+12

a=c+4+12

a=c+16

Solve the system of equations.
- 5x + 2y = 9
Y = 78
=

Answers

Answer:

x = 147/5 and y = 78

Step-by-step explanation:

First solve by substitution and put 78 into y in -5x + 2y = 9 so you get 147/5

then plug 147/5 into x and find y

Answer:

x = -147/5 , y = 78

Step-by-step explanation:

- 5x + 2y = 9

Y = 78

Substitute the second equation into the first

-5x + 2(78) = 9

-5x +156 = 9

Subtract 156 from each side

-5x+156-156 = 9-156

-5x =147

Divide each side by -5

-5x/-5 =147/-5

x = -147/5

please answer need help with equation!

Answers

Answer:

Hi there hope ur having a good day , the answer is

18P

Step-by-step explanation:

[6 X 3]P

18P

Answer:

18P

Step-by-step explanation:

[3X 6]P

18P

Have a great day

Find the measure of Angle A

Answers

Answer:

49°

Step-by-step explanation:

Lines k and n seem to be parallel, so that means that 7x = 2x + 35 (corresponding angles are congruent), and x = 7. That means that angle A = 2x + 35 = 14 + 35 = 49° (because they are vertical angles).

The measure of <A is 49 degree.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

if the nth term of a sequence is 3n + 1 what is the 8th term​

Answers

Answer:

25

Step-by-step explanation:

24 + 1

The value of 8th term of the sequence will be 25.

What is the general formula of nth term of a sequence ?

The nth term of a sequence is given by T = a+ (n-1) d, here a is the first term and d is the common difference.

The nth term of the sequence is 3n+1

The 8th term will be 3 * 8 + 1 = 25

Therefore, the value of 8th term of the sequence will be 25.

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Given g(x)=-x-2, Find g(1).

Answers

g(x)=-1-2

g(x)=-3

i’m pretty sure that’s the answer

Help me once again please :)

Answers

Answer:

C. 30-60-90

Step-by-step explanation:

the ratio for a 3-6-9 triangle is x, 2x, x√3

if x=8, then 2x=16, and x√3 =8√3

it's not A because it is a right angle triangle.

it's not B because the ratio for an isoceles triangle is x:x:x√2. since a and b are not the same value, it can be assumed that it is not the answer

Answer:

c

Step-by-step explanation:

The longest side is hypotenuse.

Using Pythagorean theorem:

c² = a² + b²

16² = 8² + (8√3)²

256 = 256 True, so it is a right triangle.

Short leg = 8, long leg = 8√3

For 30-60-90 right triangle:

short leg = hypotenuse/2 = 16/2 = 8 , true:

long leg = short leg*√3 = 8√3, true.

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