Look at the table of values below.
Х
у
1.
3
2
7
3
11
Which equation is represented by the table?
O A. y = 2x + 1
OB. y = 3x + 2
O C. y = 4x - 1
OD.y = 5x - 3
Answers
=================================================
Explanation:
Each time x goes up by 1, the y value goes up by 4. The slope must be 4/1 = 4.
You can use the slope formula, picking any two points from the table, to get the same result. Let's say we used the first two rows
m = (y2 - y1)/(x2 - x1)
m = (7-3)/(2-1)
m = 4/1
m = 4
So the answer must be y = 4x-1 as its the only equation with a slope of 4.
To find the y intercept, we plug m = 4 and (x,y) = (1,3) into y = mx+b to solve for b. You can use any (x,y) pair from the table. I picked the first row
y = mx+b
3 = 4(1)+b
3 = 4+b
3-4 = b
-1 = b
b = -1
Since m = 4 and b = -1, we go from y = mx+b to y = 4x+(-1) or y = 4x-1
Related Questions
Find 3 rational number between: 1) -5 and -6 2)
Answers
Answer:
3 rational numbers between -5 and -6 include -5.6, -5.7, and -5.1.
Step-by-step explanation:
Answer:
-5.2, -5.6, and -5.8.
Step-by-step explanation:
3 rational numbers between -5 and -6.
-5 > x > -6
Where x is a rational number, that can be expressed in p/q form.
The numbers can be -5.2, -5.6, and -5.8.
-5.2 = -26/5
-5.6 = -28/5
-5.8 = -29/5
The numbers can be expressed in p/q form, so they are rational.
Using the discriminant, how many real solutions does the following quadratic equation have? X^2+6x+10=0
Answers
Answer: No real solutions
Step-by-step explanation:
The discriminant can tell you how many solutions a quadratic equation has. The formula is b²-4ac. This also comes from the quadratic equation.
6²-4(1)(10)
36-40
-4
Since the discriminant is less that 0, there are no roots.
The Empire State Building in New York City is 1250 ft tall. What is the
distance from the top of this building to the horizon to the nearest mile? (Hint: 5280 ft 1 mi; radius of Earth 4000 mi)
Answers
Answer:
33 miles
Step-by-step explanation:
The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.
5280 ft = 1 mile
735 ft = ? miles
cross multiply
735/5280
miles = 0.13920454545 miles
The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14 miles
using Pythagoras theorem
c² = a² + b²
c = 4000.14
a = 4000
4000.14² = 4000² + b²
b² = 4000.14² - 4000²
b² = 16001120.0196 - 16000000
b² = 1120.0196
b = √1120.0196
b = 33.4666938911
b = 33 miles
if f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)
Answers
Answer:
(f-g) (x) is
[tex] {4}^{x} - 5x - 14[/tex]
Step-by-step explanation:
f(x)=4ˣ - 8
g(x)=5x+6
(f-g) (x) is
[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]
The final answer is
[tex] {4}^{x} - 5x - 14[/tex]
Hope this helps you.
"If you did a 6 feet hole, how deep is the hole"?
Answers
Answer:6 ft
Step-by-step explanation:
Answer:
6ft
Step-by-step explanation:
6y + 3 + (2y + 3) = please help me
Answers
Answer:
y = -3/4
Step-by-step explanation:
1. Simplify all terms - 8y + 6 = ?
2. Set to two sides - 8y = -6
3. Solve - y = -6/8 = -3/4
Hope this helps:)
someone help me asap
Answers
Answer:
43.3 m
Step-by-step explanation:
you can use Tangent and calculator or table to find it.
tan ∅ = opp/adj
tan 61° = r/24
1.804 = r/24
r = 1.084 * 24 = 43.297 m
r = 43.3 m
Expand the following bracket -8(2d-3)
Answers
Answer:
-16d+24
Step-by-step explanation:
=> -8(2d-3)
Expand the brackets and use distributive property.
=> (-8 × 2d)+(-8 × -3)
Multiply
=> (-16d) + (24)
=> -16d+24
Answer:
-16d + 24
Step-by-step explanation:
-8(2d - 3)
Expand or distribute.
-8(2d) -8(-3)
Multiply the terms.
-16d + 24
PLEASE HELP ASAP! IT'S EASY WORD PROBLEM!!!!!!!! My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?
Answers
Answer:
t = 2,22 h
Step-by-step explanation:
At the beginning with the first processor, we download in 5 hours the whole movie, then in 1 hour, that processor downloads 1/5 of the movie.
If with the two processors we download the movie in 4 hours in 1 hour we download 1/4 of the movie.
In 1 hour with the two processors, we get 1/4, and in 1 hour with the old processor we get 1/5
Then in 1-hour the old processor plus contribution of the new one will download 1/4 of the movie or
1/5 + x = 1/4
x = 1/4 - 1/5
x(h) = 5 + 4 /20 x = 9/20 or 0,45 of the movie in 1 hour
Working along the new processor will do 0,45 ( 9/20) in 1 hour, to finish the whole movie it will need to download 11/20
If in 1 hour download 9/20
x 11/20
x(r) = (11/20) / (9/20) = 11/9 x(r) = 1,22 (h)
Then total time for the new processor to download the movie is:
t = 1,22 + 1
t = 2,22 h
What shape is produced when slicing a hexagonal prism perpendicular to the base?
Answers
Answer:
hexagonal shape
Step-by-step explanation:
i am small child from American
sorry for answer
I'm 10 year old
I am born in Nepal
but develop in America
help me is due today. I will give brainliest if you answer first and if it is correct;)
Answers
Answer:
a) is correct3n + 5
1. Substitute the numbers
3(5) + 5 = 15 + 5 = 20
2. Substitute the second number
3(6) + 5 = 18 + 5 = 23
b) Numbers are 8 and 16.This is because I realized I got the number of 4 last because I did 1*2 = 2.
Then I did 2*2 = 4.
So you have to multiply by two to get the next number. Or you can put it to the 4th or 5th exponent of 2.
1. 1
2. 1*2 = 2
3. 2*2 = 4
4. 4*2 = 85. 8*2 = 16Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8). x + y =
Answers
Answer:
2x -3y = 19
Step-by-step explanation:
For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-5-(-1))/(2 -8)(x -8) +(-1)
y = -4/-6(x -8) -1
3y = 2x -16 -3 . . . . multiply by 3
2x -3y = 19 . . . . . . rearrange to standard form
__
The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.
Answer:
2x + -3y = 19
Step-by-step explanation:
I promise
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely, then place the answer in the proper location on the grid. x 3 - y 3
Answers
Answer:
The factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].
Step-by-step explanation:
We know that:
[tex]x^{3}+y^{3}=(x+y)(x^{2}-xy+y^{2})[/tex]
Compute the factors of [tex]x^{3}-y^{3}[/tex] as follows:
[tex]x^{3}+(-y)^{3}=(x+(-y))(x^{2}-x(-y)+(-y)^{2})[/tex]
[tex]x^{3}-y^{3}=(x-y)(x^{2}+xy+y^{2})[/tex]
Thus, the factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].
Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below. (3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2) = 3y2 – 12y2 = –9y2 Is the student’s work correct? No, she did not multiply –6y2 by 2 correctly. No, she did not add 3y2 and –12y2 correctly. No, she did not use the distributive property correctly. Yes, she multiplied the binomials correctly.
Answers
Answer:
No, She did not use the distributive property correctly.
Step-by-step explanation:
While multiplying [tex](3-6y^2)(y^2+2)[/tex], he did not use distributive property correctly. She only multiplied 3 with [tex]y^2[/tex] and not with 2. Also she multiplied [tex]-6y^2[/tex]only with 2 and not with [tex]y^2[/tex].
Answer:No, She did not use the distributive property correctly.
What is the value of
–8(17-12)
-2(8-(-2))
?
-4
-2
оооо
2
4
,
Answers
Round 0.0008873319 to 2 significant figures
Answers
Answer:
0.00089.
Step-by-step explanation:
The third significant figure is 7 so we round up the 8,
2. Solve by factoring?
a) x2 + x - 20 = 0
b) x = 36
c) *+ 12x = -36
d) x = 10x
Answers
Answer:
Step-by-step explanation:
a :x²+x-20 = 0 to factor we can calculate the dicriminant we get 81 so we have two solutions after factoring using the dicriminant we get : (x+5) (x-4) so x= 4 or x= -5 b :x= 36 x-36 = 0 x-6²=0(√x+6)(√x-6) = 0 √x = 6 or √x= -6 ( impossible for real numbers) x= 6² x= 6d: x= 10x x-10x=0 x(1-10) = 0 -9x = 0 x= 0
help me please :( ill give u brainnlyyyyyyy :DDD
Answers
Answer:
180 grams
Step-by-step explanation:
2 people = 5 ounces
6 people= 5*3= 15 ounces
1 ounce= 28 grams
15 ounces= 15*28 grams= 420 grams
There is 240 grams already on the weight, so
420- 240= 180 grams more of diced onions are required
Work out 1/2 x 7 giving you answer as a mixed number.
Answers
Answer:
[tex]3 \frac{1}{2} [/tex]
solution,
[tex] \frac{1}{2} \times 7 \\ = \frac{1 \times 7}{2} \\ = \frac{7}{2} \\ = 3 \frac{1}{2} [/tex]
Hope this helps...
Good luck on your assignment....
The answer in mixed number is written as [tex]3\dfrac{1}{2}[/tex]
The given expression is [tex]\dfrac{1}{2} \times 7[/tex].
Mixed fraction is composed of an integer with a proper fraction.
A proper fraction is one which has numerator's value smaller than that of denominator.
The conversion will go like shown below:
[tex]\begin{aligned}\dfrac{1}{2} \times 7&= \dfrac{7}{2}\\&= \dfrac{3 \times 2 + 1 }{2}\\&= 3 + \dfrac{1}{2}\\&= 3\dfrac{1}{2}\end{aligned}[/tex]
Thus, the resultant mixed number of given expression will be given as [tex]3\dfrac{1}{2}[/tex]
Learn more here:
https://brainly.com/question/236680
if the 50th and 51st terms of an arithmetic sequence are 140 and 142, find the 1st term
Answers
Answer:
The first term is 42.
Step-by-step explanation:
The common difference is 142 - 140 = 2 so we have
50th term = a1 + 2(50 -1) = 140 where a1 is the first term
a1 + 98 = 140
a1 = 140 - 98 = 42.
Which of the following best describes the slope of the line below?
A. Zero
B. Positive
C. Negative
D. Undefined
Answers
Answer:
C. Negative
Step-by-step explanation:
We know that
The farther right this line goes the further it goes down.
This is a negative slope.
If this line was directly vertical it would be undefined.
If it was horizontal it would be zero.
Answer:C
Step-by-step explanation:
Y is always decreasing and X increases and Y is always increasing one X is decreasing this is why it’s a negative slope.
The shape of a ball is circle true or false
Answers
Answer:
False
Step-by-step explanation:
A ball is a three dimensional object and it is spherical in shape.
Answer:
A ball is spherical
it's shaped like a sphere
1. Which of the following equations has a solution of x = -5? Equation A------> 16x-7=11x-32 Equation B------> -4x- 10=2x+20 a. Equation A b. Equation B c. Both A and B d. Neither A nor B
Answers
Answer:
C
Step-by-step explanation:
Equation A
16x - 7 = 11x - 32
(16x - 7) - 11x = (11x - 32) -11x
5x - 7 = -32
(5x - 7) + 7 = (-32) + 7
5x = -25
(5x)/5 = (-25)/5
x = -5
Equation B
-4x - 10 = 2x + 20
(-4x - 10) - 2x = (2x + 20) - 2x
-6x - 10 = 20
(-6x - 10) + 10 = (20) + 10
-6x = 30
(-6x)/-6 = (30)/-6
x = -5
Both Equation A and Equation B have a solution of -5.
Worker A could paint a whole room in 2 hours. Worker B could paint a whole room in 3 hours.
How many parts of the room could both of them paint in 1 hour if worker A and worker B worked together.
Answers
half of room because worker A can paint fast so he will paint fast
Answer:
5/6 of the room would be painted if both of them painted the room together in 1 hour
Step-by-step explanation:
Work done by A in 1hour=1/2
Work done by B in 1hour=1/3
Therefore total work done by both in 1hr=1/2+1/3
LCM of 2 and 3 is 6
therefore 1/2+1/3=3/6+2/6=5/6
Which of the following is equal to the polynomial given above?
Answers
Answer:
its the last one
Step-by-step explanation:
solve for x. 7x+4=30
Answers
Answer: x≈3.7
Step-by-step explanation:
7x+4=30
-4 on both sides
30-4=26
7x=26
divide 7 on both sides
x=3.7142...
Answer:
3.7
Step-by-step explanation:
7x+4=30
7x=30-4
7x=26
26/7
3.7
Find the midpoint of the line segment with end coordinates of: (1,7) and (3,−2) Give coordinates as decimals where appropriate.
Answers
Answer:
(2, 2.5 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (1, 7) and (x₂, y₂ ) = (3, - 2) , thus
midpoint = [[tex]\frac{1}{2}[/tex](1 + 3), [tex]\frac{1}{2}[/tex] (7 - 2) ] = (2, 2.5 )
what is the fraction of 80/100=
Answers
Answer:
[tex] \frac{80}{100} = \frac{4}{5} [/tex]
80
——
100
What is the highest multiple that can go into both numbers, is it 10? 15? 20?
Lets try 20
80/20 = 4
100/20 = 5
4/5
the area of a triangle 17.5 square meters. The height of the triangle is 3 meters less than twice it’s base. the base of the triangle is x meters
Answers
Answer :
Given that the base of the triangle is x m, the height is 3m less than twice it's base then the height will be represented by the equation:
(2x-3) m
Thus the area will be:
Area=1/2bh
Area=1/2x(2x-3)=17.5
x^2-1.5x=17.5
Writing the above equation is quadratic form of ax^2+bx+c=0 we get:
x^2-1.5x-17.5=0
1. Irene is covering a flowerbed with mulch to protect the flowers. The flowerbed is made of
a semi-circle, a rectangle and a right-angle triangle as shown below.
3 m
2 m
4 m
I
a) Calculate the total area of the flowerbed. Show your work.
b) If a bag of mulch covers 5 m?, determine how many bags should be purchased in order
to cover the flowerbed. Show your work.