Answer:
y=7/4x+9/4
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(1,4) and (-3,-3).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1, 4), point #1, so the x and y numbers given will be called [tex]x_1[/tex] and [tex]y_1[/tex]. Or,
Also, let's call the second point you gave, (-3,-3), point #2, so the x and y numbers here will be called [tex]x_2[/tex] and [tex]y_2[/tex]. Or,
Now, just plug the numbers into the formula for m above, like this:
m=
[tex]\frac{-3-4}{-3-1}[/tex]
m= 7/4
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=7/4x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(1,4). When x of the line is 1, y of the line must be 4.
(-3,-3). When x of the line is -3, y of the line must be -3.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=7/4x+b. b is what we want, the 7/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (1,4) and (-3,-3).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(1,4). y=mx+b or 4=7/4 × 1+b, or solving for b: b=4-(7/4)(1). b=9/4.
(-3,-3). y=mx+b or -3=7/4 × -3+b, or solving for b: b=-3-(7/4)(-3). b=9/4.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(1,4) and (-3,-3)
is
y=7/4x+9/4
1) 23= -7 - 4m + 9 + m
Determine o valor do termo representado pela incógnita nas proporções a seguir.
a) x6= 32
b) 15= 4y
c) 2x+39= 57
Me ajudem pelo amor de deus
Answer:
a. x6= 32
x = 32/6
x = 5.33
b. 15 = 4y
4y = 15
y = 15/4
y = 3.75
c. 2x+39= 57
2x = 57 - 39
x = (57 - 39)/2
x = 9
Which graph represents a proportional relationship?
Answer:
honestly i don't think it's either of these
Step-by-step explanation:
a proportional relationship goes through the origin and neither of these do
-10-2r=-3r-7+r how many solutions does this equation have will mark brainlest
Answer:
no solution
Step-by-step explanation:
ILL GIVE BRAINLIST!! PLEASE HELP! Theres 2 answers!!
Answer:
Option B
Step-by-step explanation:
Well, now that I found out the prices per ounce, it has to be option B. Here is my reasoning:
Option A, when you do 2.98÷15.5, you get 0.19225...
Option B, is a different story. When you do the same process, it amazingly comes out to 0.1785...(this means that Option B is 0.2 cents (rounded) cheaper per unit, then Option A.
So its option B
Your welcome.
Will give BRAINLIEST if right!
How do I Write the vertex as an ordered pair for f(x) = x^2 + 2x - 3
Answer:
Vertex is (-1, -9)
Step-by-step explanation:
To find the x-value of the vertex, we use the formula
x
=
−
b
2
a
(This is considered the axis of symmetry).
a
=
1
and
b
=
2
with
c
=
−
8
(These are the numbers in order)
By substituting we get
x
=
−
(
2
)
2
⋅
1
, which simplifies to
x
=
−
1
.
Once you find x, substitute back into the equation to find y.
y
=
(
−
1
)
2
+
2
(
−
1
)
−
8
y
=
1
−
2
−
8
y
=
−
9
Putting the two numbers together you get the coordinates
(
−
1
,
−
9
)
.
A student says that if 5x4 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer DIONE
Answer:
disagree because x should equal one
x=1
Step-by-step explanation:
5x times 4 =20
divide both sides by 5 times 4
x=1
Which equation or inequality represents the following description?
Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.
A. 8(2n) 76-12n
D. 8(2n)=76-12n
Answer:
D
Step-by-step explanation:
I’ve been working on the same problem for 1 hour and d just makes the most sense
Complete the following statement.
24 ft = in.
Answer:
288
Step-by-step explanation:
1 foot= 12 inches
24x12=288
Answer:288
Step-by-step explanation:24x12=288 hope this helps
Two classes are having pizza parties. Ms. Rodriguez’s class decides to order enough so that every 3 students will have 2 pizzas. Mr. Becker’s class decides to order enough so that every 5 students will have 3 pizzas. Complete the following statements. You can enter whole numbers, decimals rounded to the hundredths place, or simplified fractions.
Each student in Ms. Rodriquez’s class will get _____ of a whole pizza.
Each student in Mr. Becker’s class will get _____ of a whole pizza.
Answer:
2/3
3/5
Step-by-step explanation:
For which system of equations would you need to estimate the solution?
Answer:the second graph or b
Step-by-step explanation:
i got it right on edunity2020
Answer:
its b.
Step-by-step explanation:
just did it
Factor the polynomial.
5x4 + 10x3 + 15x2
Answer:
5x^2(x^2 + 2x + 3)
Step-by-step explanation:
All the terms can be factored by 5 and x^2, so we get:
5x^2(x^2 + 2x + 3)
there are no more common terms so this is the answer
Suppose Jerome reads the following numbers of pages each day. Will he meet his goal of reading at least 85 pages by the end of the day Friday?
Answer:
Step-by-step explanation:
Jerome has already read 50 pages of a novel and read p pages each day from Monday to Friday.
If Jerome read at least 85 pages by the end of Friday, inequality will be,
50 + 5p ≥ 85
If Jerome reads 6 pages each day,
For p = 6,
Inequality will be,
50 + 5(6) ≥ 85
80 ≥ 85
It's not true.
Therefore, he will not meet his goal.
If p = 7,
Inequality will be,
50 + 5(7) ≥ 85
85 ≥ 85
It's true.
Therefore, he will meet his goal.
If p = 8,
Inequality will be,
50 + 5(8) ≥ 85
90 ≥ 85
It's true.
Therefore, he will meet his goal.
1. Will not
2. Will
3. Will
Aaron is bicycling on a bike trail at an average of 10 miles per hour. Jada starts cycling on the same trail 30 minutes later. If Jada averages 16 miles per hour, how long would it take her to pass Aaron?
Answer:
36 miles per hour
Step-by-step explanation:
36 miles per hour
PLEASE HELP!! 15 POINTS FOR THE CORRECT ANSWER (NOT POINT D)
Answer:
I do not see any question and we only get 5 points.
Step-by-step explanation:
Drag the tiles to the correct locations. Each tile can be used more than once, but not all tiles will be used. One or more locations will
remain empty.
Nitrosyl fluoride has the chemical formula NOF. Nitrogen has five valence electrons, oxygen has six, and fluorine has seven. Complete the
Lewis structure for this covalent compound.
Answer:
.. .. ..
o = N - F :
.. ..
Under the N just leave empty
Step-by-step explanation:
The complete lewis structure for NOF covalent compound is rewritten as: O=N-F
What type of bond is in NOF (Nitrosyl fluoride)?In a molecule of NOF, Oxygen is double bonded with Nitrogen. Nitrogen molecule of NOF is single bonded with flourine.
Rest of the valence electrons are not bonded.
Nitrogen's atomic number: 7, valence electron's count = 5Oxygen's atomic number: 8, valence electron's count = 6Florine's atomic number: 9, valence electron's count = 7Thus, with the above said description we will get:
.. .. ..
O = N - F :
.. ..
(double bond uses 2-2 electron of each atom).
Thus, the complete lewis structure for NOF covalent compound is rewritten as: O=N-F
Learn more about Lewis structure here:
https://brainly.com/question/4144781
Please help me with this
Answer:
The answer is s = 1.
Step-by-step explanation:
Opposite sides of a parallelogram are equal so,
3s + 19 = s + 21
3s - s = 21 - 19
2s = 2
s = 1
next,
s + 21 =? 3s + 19
1 + 21 equal to (?) 3(1) + 19
22 = 22
so the answer is correct
Answer:
is the answer you add 19 + 21 give you 40
40
Nigel wants to average 85% on his four tests. He got 77%, 89%, 78% on his first three tests. What does he need to get on his last test to average 85%?
Answer:
He needs to get 96%
Step-by-step explanation:
Add 96 89 77 and 78 together and divide by 4, it should be 85
write an expression equivalent to 2a + (3/4a + 1/5b) by combining like terms
Answer: 2 3/4 a + 1/5 b
Step-by-step explanation:
Add the like terms
The solution of the given expression is equal to 7a/4 + b / 5.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 2a + (3/4a + 1/5b). The given expression will be solved as below,
E = 2a + (3/4a + 1/5b)
E = 2a + (3/4)a + (1/5)b
E = 7a/4 + b / 5
Therefore, the solution of the given expression is equal to 7a/4 + b / 5.
To know more about expression follow
https://brainly.com/question/723406
#SPJ5
Can someone please check to see if I selected the right answer... Please
If there are 63 butterflies in 3 gardens, how many butterflies are in 2 gardens?
Answer:
42
Step-by-step explanation:
63 divided by 3 first because you need to break each group down into equal gardens with the same amount of butterflies.
now you have 21 you need to multiply with the number 2 because you need to know how many butterflies are in two gardens
and now you get 42
I need help with this!!!
Answer:
1). 23, 8, 5, 10
2). x = 4
3). 18
4). 71
5). 48
6). 68
7). Look at picture
x = 7, y = 12 .... just sub the values of x and y into the appropriate spaces to find the other side lengths
Explanation:
1.
They are congruent triangles, therefore the measurements would be the same
2.
24x - 19 = 16x +13
8x = 32
x = 4
3.
8x - 37 = 5x + 17
3x = 54
x = 18
4.
4x + 19 = 6x - 7
2x = 26
x = 13
MN: 4x + 19
(4*13) + 19
= 71
5.
2x = 14
x = 7
CD: 7x - 1
(7*7) - 1
= 48
6.
3x + 4 = 5x -16
2x = 20
x = 10
JM = 3x + 4
= 34
ML = 34 (congruent triangles have same measurements)
34 + 34 = 68
Suppose there are 28,200,000 small businesses in the economy today. Twenty-five percent of those businesses have no employees. What is the number of businesses in the economy with no employees?
Answer:
the number of businesses with no employees is 7,050,000
Step-by-step explanation:
The computation of the number of businesses in the economy have no employees is shown below:
Given that
There are a total of 28,200,000
Out of which 25% of those businesses have no employees
So, the number of businesses in the economy is
= 28,200,000 × 25%
= 7,050,000
Hence, the number of businesses with no employees is 7,050,000
I need help with this assignment
Answer:
1) 3x = 2x + 50
3x - 2x = 50
X= 50
2)6x = 2x + 44
6x - 2x = 44
4x = 44
divide both sides by 4
X = 11
3)8x = 2x + 36
8x - 2x = 36
4x = 36
divide both sides by 4
X = 9
4) 4x = X + 18
4x - X = 18
3x = 18
divide both sides by 3
X= 6
5) 7x + 10 = 3x + 120
collect like terms
7x - 3x = 120 - 10
4x = 110
divide both sides by 4
X = 27.5
6) 20 + 2x = X + 56
collect like terms
2x - X = 56 - 20
X = 36
7) already done
8)12x + 12 = 3x + 84
collect like terms
12x - 3x = 84 - 12
9x = 72
divide both sides by 9
X = 8
9) 3 + 6x = 2x + 27
collect like terms
6x - 2x = 27 - 3
4x = 24
divide both sides by the coefficient of X (4)
X = 6
10) 8x + 2 = 72 + X
collect like terms
8x - X = 72 - 2
7x = 70
divide both sides by the coefficient of X (7)
X = 10
11) 2x + 20 = X + 60
collect like terms
2x - X = 60 - 20
X = 40
12). 4x + 1 = 25 + 2x
collect like terms
4x - 2x = 25 - 1
2x = 24
divide both sides by the coefficient of X (2)
X = 12
I hope this helps
A pitcher's arm rotates at a speed of 777 degrees per millisecond \left( \dfrac{\text{degrees}}{\text{ms}} \right)(
ms
degrees
)left parenthesis, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, s, end text, end fraction, right parenthesis.
At what speed does the pitcher's arm rotate in \dfrac{\text{degrees}}{\text{s}}
s
degrees
start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, end fraction?
Answer:
7000degrees/sec
Step-by-step explanation:
The question is not properly structured. Here is the correct question.
A pitcher's arm rotates at a speed of 7 degrees per millisecond (degrees/ms) . At what speed does the pitcher's arm rotate in degrees/s?
Before we proceed, you must know that we will be applying the following conversion;
1 milliseconds = 10⁻³secs
Given
Speed of pitcher's arm in degree per milliseconds = 7deg/ms
Required
We are to express in degree/sec
Using the conversion formula above;
[tex]7deg/ms = \dfrac{7^0}{1millisecs} \\\\converting \ to \ deg/s\\7deg/ms = \dfrac{7^0}{1millisecs} \times \dfrac{1}{10^{-3}s}\\7deg/ms = \dfrac{7^0}{10^{-3}s}\\[/tex]
[tex]7deg/ms = 7^0 \times 1/0.001s\\7deg/ms = 7^0 \times 1000/s\\7deg/ms = 7000^0/sec\\[/tex]
Hence the value in degree/sec is 7000degrees/sec
Swanton Savings Bank pays 5.5% interest compounded quarterly on a regular savings account. John deposited $4400 in regular savings accounts for 1.5 years. How much interest did he earn?
Answer:
$375.71
Step-by-step explanation:
Given that:
Rate of interest = 5.5% compounded quarterly
Time = 1.5 years
Principal amount deposited in savings account = 1.5 years
To find:
Interest earned = ?
Solution:
Formula for amount with interest compounding quarterly:
[tex]A = P(1+\dfrac{r}{4\times 100})^{4t}[/tex]
Putting the values:
[tex]A = 4400(1+\dfrac{5.5}{4\times 100})^{4\times 1.5}\\\Rightarrow 4400\times 1.01375^6\\\Rightarrow 4400\times 1.085\\\Rightarrow \$ \bold{4775.71}[/tex]
Interest earned = Amount - Principal
Interest earned = 4775.70 - 4400 = $375.71
A full grown German Shepherd weighs about 35 kg on Earth and only 13.3 kg on Mars. How much would a German Shepherd puppy weigh on Earth if it was 1.9 kg on Mars
Answer:
Step-by-step explanation:5 pounds
35/13.3=2.63. 1.9x2.63=5kg
NEED HELP STAT, whats 1+1
Step-by-step explanation:
1+1 is 2 because 1 and 1 will be 2
Click the picture link below for the problem!
THANKS
Answer:
2
Step-by-step explanation:
The slope of the line is equal to 2. The slope of a line is rise over run, or change in y over change in x. From one point to another on this line y increases by 2 and x increases by 1, which would be 2/1 or just 2. This slope or any other slope greater than 1 or less than -1 makes the line steeper. Another way to find slope is through the slope formula which is [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex], to use this plug in any two points and solve.
Answer:
The slope is a 2/1 slope.
Step-by-step explanation:
If you look at the slope and pick 2 points, let's say (1,1) and (2,3)
find the difference between the two points by y2-y1/x2-x1
The equation would be 3-1/2-1
The answer to the slope would be 2/1.
Cami starts with $7 and saves $13 each week.
Maggie starts with $11 and saves $13 each week. After how many weeks will Cami and Margaret have the same amount of
money?
Answer:
No matter how many weeks pass, they will never have the same amount of money. This is because their rate of change is the same. If Cami made more money per week than Maggie, then she would eventually be able to catch up and have the same amount of money as Maggie.