Write the equation in point-slope form of the line that contains the points (3,-5) and (5,- 1)
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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What is 4% of 25?.....
Answer:
1
Step-by-step explanation:
multiply 25 by .04
Will give crown help
Answer:-8,-2,4,10
Step-by-step explanation:
which ratio is same as 2/3
The ratio 4/6 is the same as 2/3 because they have the same proportion.
To find a ratio that is the same as 2/3, multiply or divide both the numerator and the denominator by the same non-zero number.
1. Multiplying by the same number:
If you multiply both the numerator and the denominator of 2/3 by 2, you get:
= (2 × 2) / (3 × 2)
= 4/6
So, the ratio 4/6 is the same as 2/3.
2. Dividing by the same number:
Divide both the numerator and the denominator of 2/3 by 3, you get:
= (2 ÷ 3) / (3 ÷ 3)
= 2/3
So, the ratio 2/3 remains the same.
In conclusion, the ratio 4/6 is the same as 2/3.
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1. y = 5x + 2, (2,7)
y=5x−2 , y=−2x+5
Eliminate the equal sides of each equation and combine.
5x−2=−2x+5
Move all terms containing
x
to the left side of the equation.
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7x−2=5y=−2x+5
Move all terms not containing
x
to the right side of the equation.
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7x=7y=−2x+5
Divide each term by
7
and simplify.
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x=1y=−2x+5
Replace all occurrences of x in y=−2x+5 with 1.
x=1y=−2⋅1+5
Simplify −2⋅1+5.
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x=1y=3
The solution to the system of equations can be represented as a point.(1,3)
The result can be shown in multiple forms.
Point Form:(1,3)
Equation Form:
x=1,y=3
I am multiple of 70 I am between 300 and 500 I am more than a multiple of 100 who am I
Answer:
The answer is 420.
Step-by-step explanation:
The multiple of 70 lies between 300-500 has three possibilities such as 350,420,490
Answer:
420 hope this helps
Step-by-step explanation:
Please show your work and solve the proportion!
Answer:
x = 1/9
Step-by-step explanation:
we want to solve the proportion;
we simply cross multiply the values
Mathematically, that will be calculated as follows;
6x * 21 = 2 * 7
6x * 21 = 14
6x = 14/21
2(3x) = 2(7/21)
3x = 7/21
3x = 1/3
x = 1/3/3
x = 1/9
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
What is Abigail’s greatest possible age?
Give your answer as a whole number of years.
Answer:i i think Brenda 10
Step-by-step explanation:
Age problems are the algebra word problem which deals with the ages of people in the present time.
Given information-
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
Age problemsAge problems are the algebra word problem which deals with the ages of people in the present time.
Suppose Abigail is A, Brenda is B and Carly is C years old.
As Abigail is 5 years older than Brenda. Thus,
[tex] A=B+5[/tex] .... 1
As Brenda is twice as old as Carly. Thus,
[tex]C=\dfrac{B}{2} [/tex] ..... 2
As the total of their ages is less than 40.
[tex]A+B+C=40[/tex]
Keep the values of A and C from the equation 1 and 2 in the above equation,
[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]
Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,
[tex]A=14+5\\ A=19[/tex]
Thus the Abigail is 19 year old.
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6 of 12
Write in index form
(-4) × (-4) × (-4) x (-4) × (-4) x (-4)
Given:
The expression is
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
To find:
The index form of given expression.
Solution:
Index form is the exponent form, it means, the number is represented in power of a number.
We have,
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
Here, we have 6 times -4. So, we get -4 as base and 6 as index or exponent.
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)=(-4)^6[/tex]
Therefore, the index form of given expression is [tex](-4)^6[/tex].
is this table a function? why or why not?
Line z has a slope of 2.5 and goes through points (4,13) . Which equation best represents line z?
A y=2.5x-23
B y=2.5x+23
C y=2.5x+3
D y=2.5x- 28.5
Answer:
C. y=2.5x+3
Step-by-step explanation:
BRAINLIEST
Which two expressions are equivalent for any value of y?
Group of answer choices
A. 3(3y + 3) and 6y + 6
B. 3(3y + 3) and 9y + 6
C. 9(y + 3) and 12 + 9y
D. 9(y + 3) and 27 + 9y
What appears to be the range of the part of the function shown on the grid?
(A) g(x) = 2x
(B) g(x) = x - 3
(C) g(x) = x - 8
(D) g(x) = 2x - 8
Answer:
D) g(x) = 2x-8
Step-by-step explanation:
Rose, I am very sorry 4 not replying to all ur text. im sorry for wat happen to ur mom.
Answer:
I feel so bad, would you mind telling me what happened to her mother..?
~isimpfortnpu
Identify the end behavior brain list for whoever gets it right
Answer:
Number 4, the last one
Step-by-step explanation:
The answer is the first choice.
For every odd-degree polynomial function,
When x approaches positive infinity, y approaches positive infinity.
When x approaches negative infinity, y approaches negative infinity.
As shown in the graph, substituting x into any numbers that are greater than 3 and you'll see how the graph heads toward y-value infinitely.
Em um show foram 150 mil pessoas. Sendo 1/4 de pessoas estavam no camarote rosa, 1/5 no camarote lilas, 2/5 no camarote Amarelo, e 15% na pista. Qual foi o local que obteve maior número de pessoas? * 1 ponto a) Camarote Rosa b) Camarote Lilas c) Camarote Amarelo d) Pista
Responda:
camarote Amarelo
Explicação passo a passo:
Dado que:
Número total de pessoas = 150.000
Caixa rosa: 1/4 * 150.000 = 37.500
Caixa Lilax: 1/5 * 150.000 = 30.000
Caixa amarela: 2/5 * 150.000 = 60.000
Faixa = 0,15 * 150.000 = 22.500
Portanto, a caixa amarela tem mais gente
a 15-inch candle burns down in 10 hours. at what rate does the candle burn in inches per hour
Answer:
5 inches per hour
Step-by-step explanation:
Answer:
1.5 inches per hour
Step-by-step explanation:
Is (–5, 0.5) a solution of this system? x – 4y = –7, 0.2x + 2y = 0 Substitute (–5, 0.5) into x – 4y = –7 to get . Substitute (–5, 0.5) into 0.2x + 2y = 0 to get . Simplify the above equations to get
Answer:
Substitute (–5, 0.5) into x – 4y = –7 to get
✔ –5 – 4(0.5) = –7
.
Substitute (–5, 0.5) into 0.2x + 2y = 0 to get
✔ 0.2(–5) + 2(0.5) = 0
.
Simplify the above equations to get
✔ –7 = –7 is true and 0 = 0 is true; a solution.
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!!!!!!(–5, 0.5) a solution of the system of equations.
What is a system of equations?A system of equations is a set or collection of equations that you deal with all together at once.
Given are the equations, x – 4y = –7 and 0.2x + 2y = 0;
Substitute (–5, 0.5) into x – 4y = –7 to get
–5 – 4(0.5) = –7
Substitute (–5, 0.5) into 0.2x + 2y = 0 to get
0.2(–5) + 2(0.5) = 0
Simplify the above equations to get
–7 = –7 and 0 = 0 is true
Hence, (–5, 0.5) a solution of the system of equations.
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pls pls pls pls help
Give the equation in slope intercept form for each representation. Tell me if you can’t see the pic at the top.
A bakery sells 5 muffins for every 6 cookies it sells. Complete the table to show the relationship between the number of muffins and cookies the bakery sells. Enter a number in each box
Answer:
24 cookies
25 muffins
96 cookies
Find the x and y intercept of
-x-4y=16.
Please help I will mark branliest
Answer:
I would say the answer is C
Step-by-step explanation:
Please answer these questions I will mark brainliest
In a party Tom paid $540 including the cake and drink for his friend the cost of a person attending the party is $15 the cost of cake and drinks are $75 and $90 respectively find the number of friends that attended the party
Help will give crown
Answer:
8
Step-by-step explanation:
from A to B it's 8 units long
-(4x - 7) + 1 = 2 (5 - 2x) solve for x
Answer:
No solution
Step-by-step explanation:
-(4x - 7) + 1 = 2(5 - 2x)
-4x + 7 + 1 = 10 - 4x
-4x + 8 = 10 - 4x
-4x + 8 ≠ -4x + 10
No solution
Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality. \,<\sqrt{32}<\,< 32
Answer:
Could you retype the equation so it isn't jankey?!
Step-by-step explanation:
Plsss help me and I’ll give brainliest
Answer:
Bonnie is correct
Step-by-step explanation:
Ok so bonnie said to buy five shirts so 5 x 12 = 60 but minus the $10 because the 10 dollar dicount now if you do 60 - 10 = 50 so you can buy five shirts.
Answer:
Susan is correct
Step-by-step explanation:
Please help! asap ill brainlist you :(
At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.
Answer:
5
Step-by-step explanation:
hope this helps!!!