Given:
Equation of line is [tex]y=3x-7[/tex].
To find:
The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get
[tex]m=3[/tex]
So, slope of given line is 3.
Slope of parallel lines are same. Thus, the slope of parallel line is also 3.
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
The parallel line passes through (3,5) with slope 3. So, the equation of line is
[tex]y-5=3(x-3)[/tex]
[tex]y-5=3x-9[/tex]
Add 5 on both sides.
[tex]y=3x-9+5[/tex]
[tex]y=3x-4[/tex]
Function notation of this equation is
[tex]f(x)=3x-4[/tex]
Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].
No texto Nascimento do Queijo,qual das crianças criou a teoria mais distante da realidade?
Answer:
ejre' fe trerxto fno
Step-by-step explanation:
entlying
A and B are forces acting on a falling object. Which
force, A or B, represents gravity in the diagram?
Force
is gravity because it attracts the ball
to the ground.
Answer:
B... Because indicates the direction of gravity because its direction is downward
Answer:b
Step-by-step explanation:
y = (x - 4)(x-8)
Distribution
Answer:
[tex]y= x^{2} -12x+32[/tex]
Explanation:
[tex]y=x^{2} -8x-4x+32\\y= x^{2} -12x+32[/tex]
What is the nth term rule of the quadratic sequence below?
-5, -3,3, 13, 27, 45, 67, ...
Answer:
the pattern is +2, +6, +10, +14, +18 etc
so its in increment of 4
the rest is trivial
Step-by-step explanation:
Answer:
[tex]u_{n} = 2n^{2} -4n-3[/tex]
Step-by-step explanation:
a +b + c = - 5 First term in sequence
3a + b = 2 Difference between first two terms
2a = 4 Difference between the difference of the first two terms and the second third terms (the difference between -5 and -3 is 2 the difference between -3 and 3 is 6; the difference between 6 and two is 4)
2a = 4 so a = 2; 3(2) + b = 2 → 6 + b = 2 so b = -4; 2 - 4 + c = -5 → -2 + c = -5 so c = -3
Need Answer ASAP only 5 min
Answer: 70
Step-by-step explanation:
1. Divide 528 by 264 to get 2
2. Do 2 times 35 to get 70
Write the equation of the line, in point slope form that goes through the given point with the given slope. through: (-2,5), slope = -4* O y + 2 = 5(x + 4) O y - 2 = 5(x-4) O y + 5 = -4(x +2) O y- 5 = -4(x + 2)
Answer:
y-5 = -4(x + 2)
Step-by-step explanation:
The point slope form is;
y-y1 = m(x-x1)
where m represents the slope
(x1, y1) represents the given point
Thus;
y-5 = -4(x + 2)
[tex]-0.2\sqrt{x^2}[/tex] You have to simplify this
Answer:
The simplified answer to that is -0.2x.
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
-0.2x
Step-by-step explanation:
If x is negative then,
-0.2(-2) = 0.4
A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60
kilometers from the runway. What is the angle of depression for the descent of the plane?
Round to the nearest degree.
Answer:
Angle of depression = 3.37°
Step-by-step explanation:
We are told that A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60
kilometers from the runway.
I've attached an image of a triangle depicting this question.
From the triangle, we can find the angle of depression θ from trigonometric ratio since it's a right angle triangle.
Thus;
3.5/60 = tan θ
tan θ = 0.0583
θ = tan^(-1) 0.0583
θ = 3.37°
simplefy the equation
Answer:
i wish i could simply life.
Step-by-step explanation:
what the slope of (15,9) (-10,3)
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[tex]slope = \frac{3 - 9}{ - 10 - 15} \\ [/tex]
[tex]slope = \frac{ - 6}{ - 25} \\ [/tex]
[tex]slope = \frac{6}{25} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
The slope is [tex]\frac{6}{25}[/tex] or [tex]0.24[/tex].
Step-by-step explanation:
This is the formula to calculate the slope from two given points: [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] . Now, substitute (x1, y1) and (x2, y2) for (15,9) and (-10,3). [tex]slope=\frac{3-9}{-10-15}[/tex] . That equation becomes [tex]slope=\frac{-6}{-25}[/tex] . You have to change [tex]\frac{-6}{-25}[/tex] to [tex]\frac{6}{25}[/tex] . The slope is 6/25 or in decimal form, 0.24.
Help will give a crown!!
Answer:
okay
Step-by-step explanation:
1) Each side length is 12
2) Each side length is 2
The members of a crew team can weigh no more than 165 pounds each. Write an INEQUALITY for the acceptable weights. Graph the solutions.
Answer:
shut up b
sorry gad will elp you
Step-by-step explanation:
a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven
Answer:
0.32x + 60= y
Step-by-step explanation:
What is the slope of a line that is perpendicular to a line that has a slope of -7
Please help ya girl out :))
Will mark brainliest! Please help I have no idea!
Answer:
the decimals should line up.
Answer:
press the right arrow 3 times
Step-by-step explanation:
to properly subtract any numbers the value of the digits need to be in line
Help me please. I’m trying very hard.
Answer:
27/3
Step-by-step explanation:
50-(18+5)= 27
27/3
Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sister who is two years younger than him. If the product of his sisters' ages is 70, how old is Richard?
Answer:
7 years
Step-by-step explanation:
Given that:
Let Richard's age = x
Elder sister's age = 2x
Youngwr sister's age = x - 2
Product of sisters ages = 70
2x * (x - 2) = 70
2x² - 4x = 70
2x² - 4x - 70 = 0
x² - 2x - 35 = 0
x² - 7x + 5x - 35 = 0
x(x - 7) +5(x - 7) = 0
(x - 7) or (x + 5) = 0
x = 7 or x = - 5
X can't be negative
Hence, x = 7
Richard is 7 years
Plz help...kinda confused.....only answer if ya know....:)
-3=-v+7
v=
Answer:
-3 = -v + 7
-3 - 7 = -v
3+7 = -v
-10 = -v
10 = v
Step-by-step explanation:
this is the answer i got, using basic algebra...
i hope this helps....
have a great day ahead :)
Answer:
v = 10
Step-by-step explanation:
[tex]-3=-v+7\\\\-v+7=-3\\\\-v+7-7=-3-7\\\\-v=-10\\\\\frac{-v=-10}{-1}\\\\ \boxed{v=10}[/tex]
Hope this helps.
Chloe drives from her house to her Grandma's house 48 miles away in an hour and 12 minutes. How far could she travel in 9 minutes?
a.12 miles
b.6 miles
c.8 miles
d.24 miles
Answer:
B. 6 miles
Step-by-step explanation:
first you convert the hour and 12 minutes into only minutes
72 minutes
then you set up in a fraction
48/72 = x/9
then solve for x, if you use a calculator it will give you 6
Solve this equation.
23x−15x=x−1
Answer:
x = -1/7
Step-by-step explanation:
25x - 15x = x - 1
combine like terms
7x = -1
divide
x = -1/7
Answer:
x = -1/7 (the whole fraction is negative)
Step-by-step explanation:
23x−15x=x−1
8x = x - 1
8x - x = x - 1 - x
7x = -1
x = -1/7
Please help me answer 16 please
Answer:
SSS
Step-by-step explanation:
I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.
PLEASE HELP!!Choose the slope and y-intercept that
correspond with the graph.
the answer is -1/3 y-incercept= -1
Answer:
The first one
Step-by-step explanation:
It’s y intercept is 1 and the slope is 1/3 because it goes up one and to the left 3 . I know it’s negative because it’s going down to the right.
POINTS plus will mark BRAINLIEST for the correct answer
Answer:
I believe the answer is 9
Step-by-step explanation:
The most balloons she has is 180 and she can make 20 animals with that so 180/20=9
How do I solve 4x+23>-21
Answer:
Inequality Form:
x>-11
Step-by-step explanation:
Interval Notation:
(-11,\infty )
Answer:
Step-by-step explanation:
4x + 23 > -21
4x > -21 -23 (moving 23 to the right side of equation changes the +23 to -23
4x > -44 (adding -21 to -23)
x > -11 (dividing both sides of equation by 4, this keeps the equation the same
Solution: x > -11 (x is greater than negative 11)
where is plymoth rock
Answer:
If u mean plymouth rock then the answer is
Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.
Step-by-step explanation:
A dolphin was swimming 28 meters below the ocean's surface. It changed its depth to avoid a
predator and ended up 21 meters below the surface.
What was the change in the dolphin's depth?
PLZ HELP ASAP 30 POINTS!!! write the equation of the line in standard form and slope-interpret form.
standard form:
slope-interpret form:
You are tasked with buying pizza for a party that has 100 guests. 40 guests are children, and 60 guests are adults. Half of the children want pizza, and two thirds of the adults want pizza. Children will eat one slice of pizza, and adults will eat two slices of pizza. A pizza pie can be cut into 8 slices and costs $9 dollars per pie.
Total slices required for children,
[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .
Total slices required for adults,
[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]
So, total slices required are, 20 + 80 = 100 .
Number of pizza, n = 100/8 = 12.5
So, he has to order 13 pizza cause pizza cannot be purchased in fraction.
Total price, P = 13 × 9 = $117 .
Hence, this is the required solution.
Which exponential function is represented by the graph?
O f(x) = 2( 1/2 )x
O f(x) = 1/2(2)x
O f(x) = 1/2(1/2)x
Of(x) = 2(2)x
PLEASE HELP MEE!
Answer:
f(x) = [tex]\frac{1}{2}[/tex] [tex](2)^{x}[/tex]
Step-by-step explanation:
Using the standard form of the exponential function
y = a [tex]b^{x}[/tex]
To find a and b , substitute ordered pairs from the graph
Using (0, 0.5 ), then
0.5 = a[tex]b^{0}[/tex] [
a = 0.5 , so
y = [tex]\frac{1}{2}[/tex] [tex]b^{x}[/tex]
Using (1, 1) , then
1 = [tex]\frac{1}{2}[/tex][tex]b^{1}[/tex] , thus
b = 2
f(x) = [tex]\frac{1}{2}[/tex][tex](2)^{x}[/tex] ← exponential function representing graph
Delta owns a D.C. 10 airplane that has seats for 318 people. The company flies this airplane only if there are at least 96 people on the plane. Write a compound inequality to show the possible number of people on a Delta flight. Let n represent the amount of people.
Answer: n greater than or equal to 96 or n is greater than or less than 318
Step-by-step explanation:
Brainliest plz