Answer:
y+5=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
The linear function passing through points (3,-5) and (5,- 1) is given by:
y = 2x+ 13.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
y = mx + b
In which the coefficients are described as follows:
• The coefficient m is the slope of the function, representing the rate of change of the function.
• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).
For this problem, the two points that form the function are given as follows:
(3,-5) and (5,- 1)
The slope is given by change in y divided by change in x, hence it is given by:
m = (y₂-y₁)/ (x₂-x₁)
m = (-1+5)/(5-3)
m = 4/2
m = 2
Then:
y = 2x + b.
When x = 3, y = -5, hence we can find the intercept b of the function as follows:
3 = 2 x -5 + b
b = 3+ 10
b = 13
Hence the equation is:
y = 2x+ 13
More can be learned about linear functions :
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Solve the equation 8(3x - 6) = 6(4x + 8). Does the equation have one solution, no solution, or infinitely many solutions? Explain. ( worth two point, answer and explanation)
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Equation have No solutions
⠀⠀⠀⠀
______________________
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➤ How to solve ?⠀⠀⠀⠀
For solving such problems we need to recall equations .
⠀⠀⠀⠀
When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .
⠀⠀⠀⠀
━━━━━━━━━━━━━━━━━
⠀⠀⠀⠀
SolutiOn :➠ 8( 3x - 6 ) = 6(4x + 8 )
➠ 24x - 48 = 24x + 48
Now, we will bring the variable on left hand side and constants on right hand side
➠ 24x - 24x = 48 + 48
➠ 0 = 48 + 48
➠ 0 = 96
As we can see the equation have end with a undefined value the equation have no solutions
➠ No Solutions
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In 8 divided by 1/5 the number 8 is the?
Answer:
Dividend
Step-by-step explanation:
Dividend ÷ Divisor = Quotient
Answer:
Dividend
Step-by-step explanation:
double checking to see if i'm right!
i believe that it's 108 but i'm not too sure!! can anyone tell me?? :))
Answer:
Yep! That looks right!
Step-by-step explanation:
What is the domain of the square root function graphed below?
8
6
4
2
-6 -4
6
8
х
-6
X>1
O x21
OOOO
x>3
x23
Mark this and return
Save and Exit
Next
Submit
Answer:
x ≥ 3
Step-by-step explanation:
the domain of a graph consists of all the input values shown on the x -axis
The domain of the square root function graphed below would be x ≥ 3
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.
The domain is all real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)
so, the range is all real numbers for x>3
Hence, the domain of a graph consists of all the input values of the x -axis.
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Write 45 as a product of primes. Use index notation when giving your answer.
Answer:
9*5=45
3*3*5=45
Therefore:
3^2 *5 = 45
i hope this helps :)
The probability of a female student being chosen to be on the football team is
1/28 . If there are 840 female students in a school, how many could be on the football team?
What is the slope of the line that is perpendicular to the line containing the points (5,-2) and (8,-3)?
Answer:
3
Step-by-step explanation:
m=y2-y1/x2-x1
-3+2/8-5
-1/3
perp. = negative reciprocal
3
5
Which equation represents a line with a slope of
2
and a y-intercept of -
.?
3
8 8
y = - +
3x 3
W100 W 100
B
5 8
y = -1
X +
2 3
5 8
y=-X-
2 3
D
5 8
y =
2x 3
PLS HELP
What is the y-intercept of the linear function
Y= 2/3 x + 1
is it
-2
2
1
-1
Answer:
1
Step-by-step explanation:
Slope intercept form is: y=mx+b
b is your y-intercept
Determine whether the relation is a function. Quick EMERGENCY
Answer
no
Explanation
.
Answer:
Not a function
Step-by-step explanation:
A function is supposed to be one input, one output, and an input can't have two different answers. The input 3 wields two different answers, so it can't be a function
A horse at rest takes 60 breaths every 5 minutes. At this rate, in how many
minutes would the horse take 300 breaths?
1. 12 minutes
2. 25 minutes
3. 240 minutes
4. 3,600 minutes
Answer:
The correct answer is B. 25 minutes.
Step-by-step explanation:
Here, we know that a horse takes 60 breaths every 5 minutes. We need to find how many minutes it takes a horse to take 300 breaks. First, let's see how many times 60 can go into 300.
300 ÷ 60 = 5
Now, let's multiply this by 5.
5 x 5 = 25
Therefore, the answer is B. 25 minutes.
Hope this helps! :)
Use the function g(x) = -5x + 17 to answer the questions.
Part B
What is g(-5)?
a
-60
b
--8
с
12
42
Answer:
42
Step-by-step explanation:
g(-5)=-5.-5+17
=25+17
=42
Answer:
42
Step-by-step explanation:
g(x) = -5x+ 17
g(-5) = -5 × -5 +17
g(-5) = 42
help me please help
Answer:
D.) Not enough information
Step-by-step explanation:
The marks are the same, but they aren't placed in the same position in the triangles.
what is 130203 in cryptology
Answer:
idek
Step-by-step explanation:
idek
sdjdjdkkdeieoeoeoeoeeo
Help me please I'm not good at math at all.
Answer:36+2 divided by x=A
Step-by-step explanation:
Which algebraic rule describes the transformation
Answer:
-x, y......................
I need help with this question! Will mark brainliest :)
What is the answer to -6a(2b + 5c) In distributive Property?
Answer:
-12ab-30ac
Step-by-step explanation:
Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(
Answer:
$20
Step-by-step explanation:
you divide 40 by the two tickets and get $20.
Answer:
$20
Step-by-step explanation:
2 into 40 = 20
3 into 60 = 20
4 into 80 = 20
Help ASAP if you want points and brainliest answer all of them
Answer:
5. D
3. B
2. C
4. miles per hour 2 1/8, hours per mile 8/17
Terri has 5 boxes of flower seeds.She wants to give the seeds away to her friends.If she gives 1/8 of a box to each. person, How many people can she give seeds to.
Answer:
40 people
Step-by-step explanation:
simply divide 1/8 from 5 which is 40
5/ 1/8 = 40
Solve four tenths plus four ninths
options:
eight ninetieths
eight tenths
seventy six ninetieths
seventy six ninths
Can someone help me find x and y?
Calculate the sales tax for each item.
1. A sweater for $19.99 and a 6% sales tax. _______________________________________
2. A purse for $45.00 and a 5% sales tax.___________________________________________
3. A bicycle for $120.00 and a 7% sales tax.________________________________________
4. A TV for $3000.00 and a 4% sales tax.___________________________________________
5. A radio for $35.00 and a 6% sales tax.____________________________________________
Answer:
$19.99 + $1.19 tax = $21.18$45.00 + $2.25 tax = $45.25$120.00 + $8.40 tax = $128.40$3,000.00 +$120.00 tax = $3,120.00$ 35.00 + $2.10 tax = $37.101. The sales tax of a sweater = $1.2
2. The sales tax of a purse = $2.25
3. The sales tax of a bicycle = $8.4
4. The sales tax of a TV = $120
5. The sales tax of a radio = $2.1
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
Given:
1. A sweater for $19.99 and a 6% sales tax.
The sales tax of a sweater = 19.99 x 0.06 = $1.2
2. A purse for $45.00 and a 5% sales tax.
The sales tax of a purse = 45 x 0.05 = $2.25
3. A bicycle for $120.00 and a 7% sales tax.
The sales tax of a bicycle = 120 x 0.07 = $8.4
4. A TV for $3000.00 and a 4% sales tax.
The sales tax of a TV = 3000 x 0.04 = $120
5. A radio for $35.00 and a 6% sales tax.
The sales tax of a radio = 35 x 0.06 = $2.1
Therefore, all the required sales tax is given above.
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factorize the equation
2b2 - 33b + 16 = 0
Answer:
(2b-1) (b-16)
Step-by-step explanation:
(2b^2-32b)(-b+16)
2b(b-16) -1(b-16)
help me out please asp
Cuantos metros de valla necesitare para cercar una finca cuadrada de 54,3 de lado? por favor....
Answer:
217,2 m
Step-by-step explanation:
Si el lado de la finca mide 54,3 m y la finca es cuadrada entonces:
1.-El área de la finca es:
A = L²
Y el perimetro de un cuadrado es P = 4*L
Entonces
P = 4 * 54,3
P = 217,2 m
Which of the following is an equivalent form of the mixed number -12 3/4?
- 45/4
- -51/4
- -48/4
- -45/4
Answer:
[tex]- \frac{45}{4}[/tex]
Step-by-step explanation:
Step one:
given the information
[tex]-12 \frac{3}{4}[/tex] ----------------this is a mixed fraction with a negative integer number
let us convert this to a proper fraction
Step two:
Multiply the integer by the denominator and add the numerator, we have
[tex]=(-12*4+3)/4\\\\=(-48+3)/4\\\\=-45/4[/tex]
The third option is correct
What are the steps, in order, needed to solve 3x + 4 = 13?
Answer:
3
Step-by-step explanation:
First, subtract 4 from both sides. When you do this, that leaves you with: 3x=9. Then, divide 9 by 3 to get x by itself. x=3
Answer:
Find out what X is (X = 3) , Multiply X times three, add your new number with 4.
3 x 3 + 4 = 13
Write the first five terms in the arithmetic sequence. f(n + 1) = f(n) – 19, f(1) = 34
Answer:
34, 15, -4, -23 and -42
Step-by-step explanation:
We are to find the first five sequence
when n = 1
f(2) = f(1) - 19
f(2) = 34 - 19
f(2) = 15
when n = 2
f(2+1) = f(2) - 19
f(3) = f(2) - 19
f(3) = 15 - 19
f(3) = -4
when n = 3
f(3+1) = f(3) - 19
f(4) = f(3) - 19
f(4) = -4 - 19
f(4) = -23
when n = 4
f(4+1) = f(4) - 19
f(5) = f(4) - 19
f(5) = -23 - 19
f(5) = -42
Hence the first five terms in the arithmetic sequence are 34, 15, -4, -23 and -42