Answer:
The equation of the linear function is y = 3x + 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A line passes through points (1, 6) and (2, 9)
∴ x1 = 1 ad y1 = 6
∴ x2 = 2 and y2 = 9
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{9-6}{2-1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
∴ m = 3
→ Substitute the value of m in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of any
point on the line
∵ x = 1 and y = 6
∴ 6 = 3 (1) + b
∴ 6 = 3 + b
→ Subtract 3 from both sides
∵ 6 - 3 = 3 - 3 + b
∴ 3 = b
→ Substitute the value of b in the equation above
∴ y = 3x + 3
∴ The equation of the linear function is y = 3x + 3
Can someone help me with systems of equations, (graphically)
Answer:
Step-by-step explanation:
You would use -6 and 7 to start your line. With the equation “y=5/6x+7", you would put a dot on 7. Then you would use the 5/6 to start making your line. With fractions, it's always rise/run. Starting from 7, you go up 5 then over(right) 6 until you run out of room on the graph. Then you do the opposite, down 5 then back(left) 6. Then you should have your first line. Then repeat that for the next equation. Start at -6, go down 4 and back three until you run out of room on the graph, then do the opposite. Go up 4 and over 3.
Let me know if this is confusing!
FIND THE QUADRATIC FUNCTION DETERMINED BY EACH TABLE
X -2 -1 0 1 2 3
Y 4 0 -2 -2 0 4
Answer:
x² - x - 2 = 0
Step-by-step explanation:
plotting the graph of x and y,we have that the root of the equation is -1 or 2
x = -1 or 2
the eqn therefore is;
x² - (sum of the root)x + (product of the root) =. 0
x² - (-1+2)x + (-1*2) = 0
x² - x - 2 = 0
Applying the Factor Theorem, it is found that the quadratic function is:
[tex]p(x) = x^2 - x - 2[/tex]
------------------------
The Factor Theorem states that if a polynomial [tex]p(x)[/tex] has roots [tex]x_1, x_2, ..., x_n[/tex], it is described by the following equation:
[tex]p(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]
In which a is the leading coefficient.
For this quadratic function, the roots are [tex]x_1 = -1, x_2 = 2[/tex], as [tex]y(-1) = y(2) = 0[/tex], thus:[tex]p(x) = a(x - (-1))(x - 2)[/tex]
[tex]p(x) = a(x + 1)(x - 2)[/tex]
[tex]p(x) = a(x^2 - x - 2)[/tex]
When x = 0, p(x) = -2, and we use this to find a.
[tex]p(x) = a(x^2 - x - 2)[/tex]
[tex]-2 = a(0^2 - 0 - 2)[/tex]
[tex]2a = 2[/tex]
[tex]a = \frac{2}{2}[/tex]
[tex]a = 1[/tex]
Thus, the quadratic function is:
[tex]p(x) = x^2 - x - 2[/tex]
A similar problem is given at https://brainly.com/question/24380382
Can somebody help me with this? Will mark brainliest!
Answer:
2. A reflection of the y axis followed by a translation.
Step-by-step explanation:
ABC was reflected across the y-axis and then translated down.
why is it not recommended to scuba dive in the morning and fly home the same afternoon ?
A scientist discovered a new type of bacteria that will grow at a rate of 3 cells every 2 seconds. If the scientist starts with one bacteria cell in a petri dish, what equation could predict the amount of cells in the dish after x seconds? Please help me
Answer:
1.5 x cells
Step-by-step explanation:
3 cells every 2 second
1.5 cells per second
therefore
after x seconds there ll be 1.5 *x number of cells
=1.5x cells
Which answer choice shows 34.498 rounded to the nearest half?
A. 34
B. 34.5
C. 35
D. 35.5
Answer:
34.5
Step-by-step explanation:
follow me say a thanks mark me branliest
what is the LCM of 80
so is the question right?
Answer:
Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
Step-by-step explanation:
Come up with an example for a solid, liquid, and gas describing the particle movement.
Answer:
Ice Cube, Liquid Water, and Steam
Step-by-step explanation:
An example of a solid is a ice cube, the particles are compacted together and there's very little movement.
An example of a liquid is water, the particles are more spread around and the movement is more frequent.
An example of a gas is steam, the particles are anywhere, moving fast and sporadic.
HELP! BRAINLIEST ANSWER!
Answer:
6. 5x - 2
7. 13in
8. 3a + 20
9. 21 1/2
explanation:
6. add all of the values together
7. plug in 3 into the answer from #6 5(3) - 2 and you will get 13
8. add all values
9. plug in 1/2 into the answer from #8 3(1/2) + 20 and you will get 21 1/2
The cost of a babysitting service is $8 for the first hour and $10 for each
additional hour. If the total cost of babysitting Josue is $58, how many
hours TOTAL was Josue with the babysitter?
Answer:
6 hours
Step-by-step explanation:
8 dollar - 1st hour = 8
10 dollar times 5 hours= 50dollar
total - 58 dollars for 6hours
Answer:
she was with the babysitter for 6 hours.
Step-by-step explanation:
They want me to put something here and the question is the picture
Answer:
D. (1, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
5x - 2y = 9
3x + 4y = -5
Step 2: Rewrite systems
10x - 4y = 18
3x + 4y = -5
Step 3: Solve for x
Add to equations together: 13x = 13Divide 13 on both sides: x = 1Step 4: Solve for y
Define: 3x + 4y = -5Substitute in x: 3(1) + 4y = -5Multiply: 3 + 4y = -5Isolate y term: 4y = -8Isolate y: y = -2And we have our final answer!
3 (1 - x)=2 (-4x + 7)
Solve for X.
Answer:
x = 11/5
Step-by-step explanation:
3-3x = -8x +14
5x = 11
x= 11/5
x-intercept=4 y-intercept= -2 what is the slope of this line?
Answer:
gradient = change in y/change in x
--> -2/4 = -1/2
Therefore slope = -1/2
Step-by-step explanation:
Please give BRAINLIEST, it is appreciated, hope this helps!
If a/b= 8 and ac -5 = 11, then bc =?
Answer:
bc = 2
Step-by-step explanation:
From [tex]a/b = 8[/tex]
[tex]a=8b[/tex] (times b on both sides)
We can then substitute [tex]a[/tex] for [tex]8b[/tex]:
[tex]ac-5=11[/tex] (given equation)
[tex]8bc-5=11[/tex]
[tex]8bc=16[/tex]
[tex]bc=2[/tex]
I hope this helps :)
-1/3a - 1/2b - 3/4 + 1/2b - 2/3 + 5/6a
Answer:
look at the pic i sent
Step-by-step explanation:
Question is : Rearrange to make x the subject : 3y-2x=7
Answer:
=1
Step-by-step explanation:
Answer:
Work shown below!
Step-by-step explanation:
3y - 2x = 7
Subtract 3y from both sides;
-2x = -3y + 7
Divide both sides by -2
[tex]x=\frac{3}{2}y-\frac{7}{2}[/tex]
Is 379 in the sequence below?
5,7,9,11,13.......
The angle bisectors of triangle ABC meet at point P. If PQ = 8 and PA = 17, what is the length of AR?
A. 8
B. 15
C. 17
D. Cannot be determined
Answer:
I'm not sure but I think it's B
symbolize is the use of a symbol to:
A(describe a character)
B(represent an abstract idea)
C(represent a concrete thing)
D(compare two different things)
Answer:
B(represent an abstract idea)
Step-by-step explanation:
A symbol is a stylistic figure whose essence is to use a word or phrase to refer to another, usually abstract term, to which it refers.
What symbolism means in every sphere is precisely the reference by one term to another term that symbolizes.
A symbol consists of a concrete material designation which refers to some abstract concept.
Answer:
b is correct give the person above brainlist :)
Step-by-step explanation:
-6=n-4n
tfytfytffuygyguyftuiy
Answer:
2=n
Step-by-step explanation:
-6=n-4n
1. n-4n is -3
2. new equation (-6=-3n)
3. Divide: -6 and -3 =2 to get the n by itself
4. final answer 2=n
in the scatterplot there is a
Answer:
i dont see anything
Step-by-step explanation:
Answer:
you didnt add a pic
Step-by-step explanation:
1) h(x) = -3x + 5; Find h(-1-2)
Answer:
h(-1) = 8
h(-2) = 11
h(-12) = 41
Step-by-step explanation:
h(x) = -3x + 5
h(-1) = -3(-1) + 5 = 3 + 5 = 8
h(-2) = -3(-2) + 5 = 6 + 5 = 11
h(-12) = -3(-12) + 5 = 36 + 5 = 41
one type of insect is 0.0052 meters long. what is this length in scientific notation?
Answer:
Because scientific notation has to be in between 1 and 10, you would need this to be 5.2. Count the spaces and since its getting smaller your exponent is negative.
Your answer should be 5.2*10^(-3)
Step-by-step explanation:
wayne recorded how much his pet snake,slithers, grew over the past few months. this list shows how much slithers grew each month?
Answer:
Where is the list?
Step-by-step explanation:
5 5/12 + 1.75 in fraction form.
Write the fraction in simplest form.
43/6
multiply the decimals 12.5 multiply 1.4
Answer:
17.5
Step-by-step explanation:
Answer:
17.5
Step-by-step explanation:
Please help I need your help please please
Answer:
The one in the bottom left
Step-by-step explanation:
Annabelle is ordering a taxi from an online taxi service. The taxi charges $2 just for the pickup and then an additional $1.50 per mile driven. How much would a taxi ride cost if Annabelle is riding for 6 miles? How much would a taxi ride cost that is mm miles long?
Answer:
$11Step-by-step explanation:
Step one:
given
Taxi charges =$2
Additional charges =$1.50 per mile driven
Step two:
Required
The cost of the ride for a 6miles long drive
let the number of miles be x
and the total charges be y
The cost function is expressed as
[tex]y=1.5x+2[/tex]------------1
hence for x=6
y=1.5(6)+2
y=9+2
y=11
Therefore the cost of a 6miles drive will be $11
9935÷2.76243 hello
Answer:
9935÷2.76243
3596.47122
round it to any place values your question or anythings asks for
Answer:
3596.4712228
Step-by-step explanation:
In a right triangle, measure of one of the acute angles is 10 degrees more than 3 times the measure of the other angle. What are the measures of the three
angles?
Answer:
How do you find the angle of a right triangle with 3 sides?
Step-by-step explanation:
Step 1 The two sides we know are Adjacent (6,750) and Hypotenuse (8,100).
Step 2 SOHCAHTOA tells us we must use Cosine.
Step 3 Calculate Adjacent / Hypotenuse = 6,750/8,100 = 0.8333.
Step 4 Find the angle from your calculator using cos-1 of 0.8333: