Answers
Answer:
The slope is 3
The y-intercept is -2
The linear equation is y = 3x - 2
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]∵ A line passes through points (2, 4) and (6, 16)
∴ x1 = 2 and y1 = 4
∴ x2 = 6 and y2 = 16
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{16-4}{6-2}[/tex] = [tex]\frac{12}{4}[/tex] = 3
∴ m = 3
→ Substitute it in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of
a point on the line
∵ Point (2, 4) is on the line
∴ x = 2 and y = 4
∵ 4 = 3(2) + b
∴ 4 = 6 + b
→ Subtract 6 from both sides to find b
∵ 4 - 6 = 6 - 6 + b
∴ -2 = b
→ Substitute its value on the equation above
∵ y = 3x + (-2)
∴ y = 3x - 2
→ Let us answer the questions
The slope is 3
The y-intercept is -2
The linear equation is y = 3x - 2
Related Questions
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Answers
Answer:
49 red marbles
Step-by-step explanation:
There is a bag with only red marbles and blue marbles.
We are told in the question that:
The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag
Hence: since
P(Blue marbles) = 2/9
Hence,
The number of blue marbles = 63 ÷ 9
= 7
Hence:
2 × 7/9 × 7 = 14/63
Hence, the number of blue marbles = 14 blue marbles
The number of red marbles bus calculated as:
63 - 14 blue marbles
= 49 red marbles
Xbox 360 and lunzzotoon worth
Answers
Answer:
Xbox ONE
Step-by-step explanation:
(and Series X)
A bank account has a beginning balance of $460.00. After 6 months, the balance in the account has increased to
$465.75. What interest rate is being earned annually on this account?
Answers
****************DISCLAIMER****************
might not be right, im pretty sure tho
Answer:
the annual interest return rate is .025 i believe.
Step-by-step explanation:
after 6 months the money increased by 5.75 bucks.
the 6 month return rate was .0175, so double that to get the annual rate.
Given the quadratic 7x2 +6x– 1,
Answers
Step-by-step explanation:
7x^2+7x-x-1
7x(X+1) -1(X+1)
(7x-1) (x-1)
X=1/7 , 1
On the first day, 8 adult tickets were sold and 13 student tickets were sold for a total of $75. On day two, 10 adult tickets were sold and 9 student tickets were sold for a total of $72. What is the cost of an adult ticket? What is the cost of a student ticket?
Answers
Step-by-step explanation:
8x + 13y = 75 (×10)
10x + 9y = 72 (×8)
80x + 130y = 750
-) 80x + 72y = 576
58y = 174
y = 3
10x + 9(3) = 72
10x + 27 = 72
10x = 72 - 27
10x = 45
x = 4.5
adult = $4.50
student = $3
James and Kevinj are looking at this table of values. James says that the pattern rule is “Start with 3 and add 3.” Kevin says that the pattern rule is “Multiply the term number by 3.” Who is right? Explain. PLEASE ANSWER
Answers
Answer:
They are both right
Step-by-step explanation:
Adding 3 and multiplying 3 to the term number is the same thing
plzzzzzzzzzzzzzzzzzzzzzzzzzzzz helppppppppppppppppppppppppppp
Solve the solution to the inequality below.
-6x-10>26
Answers
Answer:
X equals -6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.Inequality Form
what is the answer
Answers
Answer:
a=7 i think
Step-by-step explanation:
Nadia is asked to find a number such that the difference between five times the number and three less than twice the number is equal to eighteen. Her work and answer are shown below. 5n−(3−2n)5n−3+2n7n−37nn=====181818213 Is Nadia correct? If not, identify and correct her error.
Answers
Answer:
Nadia is incorrect, please check explanations for the correction to her work
Step-by-step explanation:
Here, we want to validate the wok of Nadia
Let the number be n
5 times the number is 5 * n = 5n
Difference between 5n and 3 less than twice the number
3 less than twice the number is 2n-3
So it should be 2n-3 ;
The solution is thus;
5n - (2n-3) = 18
5n - 2n + 3 = 18
3n + 3 = 18
3n = 18-3
3n = 15
n = 15/3
n = 5
Answer:
Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5n−(2n−3)=18.
Step-by-step explanation:
A racquet tennis is on sale for 30% off. Find the original price if the sale price is $21.
Answers
Help me with this it’s due tomorrow at 11 am
Answers
Answer:
I'm sorry i can't help with all of the math, I do know that the answer for the radius is 4 though.
Step-by-step explanation:
AHH PLEASE
Solve for x.
x = 1.2 = 3
Enter your answer, as a decimal
Answers
There’s nothing you can do about x = 1.2 = 3, because it has two equal signs. You can’t solve an equation that has two equal signs :(
an electronics manufacturer has 175 capacitors and the same
Answers
for geometry:(
will give brainist to the correct answer!!!
Answers
Answer:
y = ⅔x - 5
Step-by-step explanation:
The line that passes through (-3, -7) will have the same slope (m) as the line, 2x - 3y = 24. This is because if two lines that are parallel to each other would have the same slope.
Rewrite 2x - 3y = 24, in the slope-intercept form, y = mx + b.
Thus:
2x - 3y = 24, rewritten would give us y = ⅔x - 8.
The slope of the line, 2x - 3y = 24, is ⅔.
Thus, the slope of the line that is parallel to 2x - 3y = 24, is also ⅔.
To find the equation, substitute a = -3, b = -7, and m = ⅔ into y - b = m(x - a).
Thus:
y + 7 = ⅔(x + 3)
Rewrite to make the equation in slope-intercept form.
Thus:
y + 7 = ⅔(x + 3)
3(y + 7) = 2(x + 3) ---› multiplication property of equality
3y + 21 = 2x + 6 ----› distributive property
3y = 2x + 6 - 21 ----› subtraction property of equality
3y = 2x - 15
y = ⅔x - 5 (division property of equality)
Can you help me with this please
Answers
Answer:
Hypothesis: If I am at least 16 years and 6 months old
Conclusion: Then I am able to get a provisional license
I hope this helps!
i need the (rate of change____, so the rock is falling___meters per sec) (the initial value,the initial hight)
NEED ANSWER ASAP!! PLEASE AND THANK U SM
Answers
Answer:
- 6 m/s
Step-by-step explanation:
The rate of change is a measure of the slope and can be calculated using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 78) and (x₂, y₂ ) = (10, 30) ← 2 points on the line
m = [tex]\frac{30-78}{10-2}[/tex] = [tex]\frac{-48}{8}[/tex] = - 6
Rate of change is - 6 m/s
74,830 to the nearest mile
And 54,544 to the nearest mile
Answers
Answer:
70,000 50,000
Step-by-step explanation:
just round it. not sure if it right
I got this question wrong. I have no idea how to do it. thank you!
Answers
Total area trapezoid: A = (a+b/2)h = ((13.4cm + 18cm)/2) 4cm = 62.8cm2
Area of purple = Total area - area of
aqua = (62.8cm2) - (26.8cm2) = 36cm2
Answer:
Aqua: 26.8cm
Purple: 36cm
Step-by-step explanation:
(13.4*4)/2 = 26.8 = aqua2((9*4)/2) = 36 = purple36 + 26.8 = 62.8 = total areaPLEASE ANSWER ASASP FOR BRAINLEST!!!!
The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the length of the third side is 3n. Write an expression for the length of the triangle’s perimeter.
Answers
Answer:
7n+14
Step-by-step explanation:
There are two sides that both measure 2n+7, we need 2 of those
2n+7+2n+7=4n+14
We still have the third side left, 3n.
4n+14+3n
combine like terms
7n+14
Find the slope of the line that contains (-1,4) and (2,6).
Question 2 options:
2
_
3
3
_
2
5
_
4
-2
_
3
Answers
At Smith's Bike Rentals, it costs $40 to rent a bike for 8 hours. How many dollars does it cost per hour of bike use?
Answers
Answer:
5
Step-by-step explanation:
Hello! Can someone please help me with this 1 questions! thank you so much! (i’ll give brainlist)
Answers
Answer:
x = 10 mm is the answer
pls mark me as the brainliest
Solve for the missing variable. Round your answer to the nearest tenth.
Answers
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
We assume the hash marks are intended to indicate both triangles are isosceles. Then the right-end angle of the upper triangle is ...
180° -2(75°) = 30°
Its complement is the supplement of the "missing variable" angle.
90° -30° = 180° -(18x -6)°
18x = 126 . . . . . rearranging (add 18x -60)
x = 7 . . . . . . . . . divide by 18
A shirt is advertised for 30% off the list price of $19.00. What is the sale price?
Answers
Answer:
$5.70 of so 13.30
Step-by-step explanation:
$5.70 of from the $19 so it would be 13.30
Answer:
The shirt would cost $13.30
Step-by-step explanation:
Divide
[tex]19/100 = .19[/tex]
Take off 30%
[tex]100-30=70[/tex]
Multiply
[tex].19*70= 13.3[/tex]
Example 15
Prove that
sin 8 -cos 6 +1 - 1
sin 6+cos - 1 sec - tan
9
using the identity
0
sec?
= 1 + tan?
e.
Answers
cos
(
x
)
+
sin
(
x
)
tan
(
x
)
=
sec
(
x
)
The solution is, the simplified value of the expression is, 1.
To simplify the expression, we need the trigonometric identities given:
we know that,
1. cot=1/tan
2. tan=sin/cos
3. sec=1/cos
so, we have,
cot θ sec θ sin θ = 1/tanθ(1/cosθ)sinθ
= (1/(sinθ/cosθ))(1/cosθ)sinθ
= (cosθ / sinθ) (1/cosθ)sinθ
= 1
The expression is equal to 1.
To learn more about trigonometric relations click :
brainly.com/question/14450671
#SPJ7
Is there anyone that can help me with questions 1-16?
Answers
Step-by-step explanation:
5x=41.5
5x/5=41.5/5
x=41.5/5
x=8.3cm
1. g - 7 = 15
g = 15 + 7
g = 22
2. t + 4 = 6
t = 6 - 4
t = 2
3. 13 = m - 7
m - 7 = 13
m = 13 + 7
m = 20
4. x + 3.4 = 9.1
x = 9.1 - 3.4
x = 5.7
[tex]5. \: \: n \: - \: \frac{3}{8} \: = \: \frac{1}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \: \frac{1}{8} \: + \: \frac{3}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \frac{4}{8} = \frac{2}{4} = \frac{1}{2} [/tex]
What is the domain of y=sqrtx+7+5
Answers
Answer:
c on edge 2020
Step-by-step explanation:
12. Let [AB] + [BC] = [AC], and [MN] + [NK] = [MK].
Which points are between two other points?
A) A and M
C) C and K
B) B and M
D) B and N
Pre-Geometry
Answers
Wal-Mart sells a case of 24 cans of Diet Coke for $6.88. To the nearest
cent, how much does it cost per can? *
Answers
Answer:
$0.29 cents
Step-by-step explanation:
6.88/24 = 0.28666666666 about 0.29
How long is the drawing of that piece?
Answers
Answer:
5 inches
Step-by-step explanation: