Answer:
1)The equation of the Parallel line is 2x -y -4=0
2) The equation of the perpendicular line of the given line x+2y+8=0
Step-by-step explanation:
Step(i):-
Given function f(x) = 2x+3 and passes through (0,-4)
Let y =f(x) = 2x+3
y = 2x+3
⇒ 2x -y +3=0
The equation of the parallel line of the given line 2x - y +k =0
This line is passes through the point (0,-4)
⇒ 2 (0) -(-4)+k=0
4 +k=0
⇒ k =-4
The equation of the Parallel line is 2x -y -4=0
2)
Step(ii):-
Given function f(x) = 2x+3
Let y = 2 x + 3
2x - y +3=0
The equation of the perpendicular line bx -ay +k=0
The equation of the perpendicular line of the given line -x-2y +k =0
This line is passes through the point (0,-4)
⇒ (0) -2(-4)+k=0
8 +k=0
⇒ k =-8
The equation of the perpendicular line of the given line -x-2y -8 =0
The equation of the perpendicular line of the given line x+2y+8=0
Simplify the ratio 60:25:90
Answer:
12:5:18
Step-by-step explanation:
60:25:90
12:5:18
–0.2(14 – 6x) = –7x – (–3 – 9x)
Can anyone solve ?
Answer:
The answer is x=-7.25
Step-by-step explanation:
I need help with these questions for Working with Standard and Vertex Forms of the Quadratic Function, the first image is the instructions for the questions and the rest of the images have been labelled and put in order of the questions:
9514 1404 393
Answer:
3 (7e) f(x) = -3(x +2)^2 +1; D: (-∞, ∞); R: (-∞, 1]
4 (8) g(x) = 4(x -3)^2 -5; x = 3; (3, -5); min: -5; D: (-∞, ∞); R: [-5, ∞)
5 (10) A(175) = 31,250 m^2
Step-by-step explanation:
Q3. (7e) f(x) = -3x^2 -12x -11 = -3(x^2 +4x) -11 = -3(x^2 +4x +4) -11 +3(4)
f(x) = -3(x +2)^2 +1
Domain: all real numbers; Range: y ≤ 1
Expanded: -3(x^2 +4x +4) +1 = -3x^2 -12x -11
__
Q4. (8a) g(x) = 4(x^2 -6x) +31 = 4(x^2 -6x +9) +31 -4(9)
g(x) = 4(x -3)^2 -5
8b) x = 3 . . . axis of symmetry
8c) (3, -5) . . . coordinates of vertex
8d) minimum: -5 (parabola opens upward from vertex, which is the minimum)
8e) any quadratic has a domain of "all real numbers"
8f) the range is upward from the minimum: y ≥ -5
8g) see attached
__
Q5. (10) A(x) = 700x -2x^2 = -2(x^2 -350x +30625) +2(30625)
A(x) = -2(x -175)^2 +31,250
The maximum area that can be enclosed is 31,250 square meters.
_____
Additional comment
The process of "completing the square" can be done using the following steps. (a) Factor out the leading coefficient from the variable terms; (b) determine the linear term coefficient inside parentheses, and add the square of half of it inside parentheses; (c) add the opposite of the same quantity outside parentheses (make sure the leading coefficient is properly factored in; (d) rewrite the parentheses as a square, and collect terms outside parentheses. In the final form a(x -h)^2 +k, the vertex is (h, k).
Help me plz I don’t this answer help
Answer:
-1/2 x 3 = -3/2
-1/2 x - 2/5 = 2/10 = 1/5
Answer = The second one: -3/2 + 1/5
Step-by-step explanation:
4)The stock price of the
Martin Skateboard Co. was
$12.50 per share. In the next
week the stock went up
$1.00, lost $2.00, added
$0.50, increased by $0.75,
and lost $1.25. What was the
stock price at the end of the
week?
HELP!!!!!!!!!!!!ASAP!!!!!!!!!!!PLEASE!!!!!!!!!!!NOW!!!!!!!!!!!!
There are so many ways to answer this but one way is:
Reflection over x=1
Reflection over x-axis
If u need a different answer I'll try to help
This question is confusing me
Someone help!
Graph the solution to the inequality on the number line.
h > 75.5
Answer:
DStep-by-step explanation:
hope it helps....... .
The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
h > 75.5
The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.
More about the number line link is given below.
https://brainly.com/question/13189025
#SPJ5
Complete the Equation of the line through
(3,-1) and (4,7)
Answer:
Step-by-step explanation:
7-(-1)/4-3
8/1=8
Y=8x+b
7=8(4)+b
7=32+b
-25=b
Answer: y=8x-25
-2x -5 = 2 - 4x (x - 1) ?
Answer:
x=3/4+1/4√37 or x=3/4+−1/4√37Step-by-step explanation:
Let's solve your equation step-by-step.
−2x−5=2−4x(x−1)
Step 1: Simplify both sides of the equation.
−2x−5=−4x^2+4x+2
Step 2: Subtract -4x^2+4x+2 from both sides.
−2x−5−(−4x^2+4x+2)=−4x^2+4x+2−(−4x^2+4x+2)
4x^2−6x−7=0
For this equation: a=4, b=-6, c=-7
4x^2+−6x+−7=0
Step 3: Use quadratic formula with a=4, b=-6, c=-7.
x=−b±√b2−4ac/2a
x=−(−6)±√(−6)2−4(4)(−7)/2(4)
x=6±√148/8
An employer has three employees who are each paid a salary of $1,250 per month. He wants to give each of the three employees a $125 per month raise and he wants to hire an additional salaried employee. If his salary budget for these employees is $5,325 per month, how much can he afford to offer the new employee?
Step-by-step explanation:
1,250+125= 1,375
1375×3=4125
5325-4125=1200
They can afford to play the new employee $1200
Bike rental company A charges an initial fee of $8 plus $1.25 for every hour spent biking. Bike rental company B charges $2.75 for every hour spent biking. A biker finds that after h hours, the bike rental companies will cost the same.
Which equation represents this situation?
A. 2.75h=8−1.25h
B. 2.75h=8+1.25h
C. 2.75h+1.25h=8
D. 2.75h+8=1.25h
what is y-2=3(x-1) in slope intercept form?
a. y=3x-1
b. y=4
c. y=2x-20
d. 3x=2y
i’m thinking it’s A but i’m not sure?
Answer:
A
Step-by-step explanation:
You're right:) distribute the 3 and have the y alone and it's A
The road is 6 kilometers long how long is the road in meters
Answer:6000 meters
Step-by-step explanation:
1. Sally is cleaning houses. She can clean 2/5
of a house in 1/3 of an hour. How much of a
house can she clean in 1 hour?
Answer:
Step-by-step explanation:
Sally will clean in one hour
2/5*3=6/5=1 1/5 houses in one hour
4xy + 12x - 3xy + 2y
Answer:
xy+12x+2y
Step-by-step explanation:
thats all you can do to this
Which unit of measure below would be the MOST appropriate to measure the distance between Miami, Florida and Orlando, Florida?
A
centimeters
B
millimeters
C
kilometers
D
meters
HELP ME!!!!! I really need the answer to this!!!!!!!
Answer:
12x^8y^8
Step-by-step explanation:
taking numbers in one side and multiplying and taking the variables in other sides and adding the power
Pls help I’ll mark u brain
Answer:
A
Step-by-step explanation:
It would be A,
As we can see, p*c =60 for every value in the chart. We can rearrage this to get c=60/p
I hope this helped! :)
NEED HELP IMMEDIATELY!!!!!
paula had 60 stamps jn her collection. Among her stamps, 2/3 have pictures of animals. Out of her stamps with pictures of animals, 1/4 of those stamps have pictures of birds. How many stamps have pictures of birds on them?
Answer:
10
Step-by-step explanation:
2/3 of 60 is 40. 1/4 of 40 is 10
What are the coordinates of point A?
8
8
6
4
2
-8-6-4-2
2
4
8
8
X
-2
-4
---
-E
O (8,-6)
O (-6,8)
0 (-5,7
Use substitution to solve the system of linear equations. In your final answer, include all of your work.
Answer:
Y=-3
Step-by-step explanation:
NEED HELP IM GIVIN BRAINLIEST!!
Juan purchased a pair of Nikes’ that were 35% off the regular price of $135.90. If an 7% sales tax was added to the cost of the Nike’s, what was the total price that Juan paid for the Nike’s? (Round to the nearest cent)
Step-by step:
135.90x0.35=47.565
47.565+(135.90x0.07)=47.565+9.513
Answer:
57.078
Plzzzz give me Brainliest!
please help me its about Solving by substitution
Answer:
x = 3 and y = 5
Step-by-step explanation:
y = x+2
3x+2(x+2)=19
3x+2x+4=19
5x+4=19
-4 -4
5x=15
x=3
y=x+2
y=(3)+2
y=5
Answer:
x=3 and y=5
Step-by-step explanation:
please help me ill brainlist and give 15 points-
The answer is C, 510.
The table below shows the probabilities of selecting one ball at random
from a bag of balls.
Colour
Red
Black
Yellow
White
Purple
Probability
0.25
0.14
0.06
0.15
0.40
Are there any balls of another colour in the bag? Give a reason for your
answer.
No because 0.4+0.15+0.06+0.14+0.25=1 and you cant get probability over 1
Least to greatest 6 3/10,1 3/10, 1 3/11, -7 6/14, 5 3/10
Answer:
-7 6/14, 1 3/11, 1 3/10, 5 3/10, 6 3/10
Hi i need help with these questions with distributive property pls help me:
3(-4x + 8)
4(x - 6y)
6(5 - q)
1/2(c - 8)
-3(5 - b)
(d + 2)(-7)
Step-by-step explanation:
-12x+24
4x-24y
30-6q
1/2c-4
-15+3b
-7d-14
Answer:
-12x+8
4x-24y
30-6q
1/2c-4
-15-3b
-7d-14
8.Rewrite the expression using rational exponents.
Answer:
Option B is the correct option.
Step-by-step explanation:
Given the expression
[tex]\frac{\sqrt[3]{x^5}}{\sqrt[3]{x^7}}[/tex]
Apply radical rule:
[tex]\frac{\sqrt[n]{a}}{\sqrt[n]{b}}=\sqrt[n]{\frac{a}{b}}[/tex]
so
[tex]\frac{\sqrt[3]{x^5}}{\sqrt[3]{x^7}}=\sqrt[3]{\frac{x^5}{x^7}}[/tex]
Apply radical rule:
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
so
[tex]=\sqrt[3]{\frac{1}{x^2}}[/tex] ∵ [tex]\frac{x^5}{x^7}=x^{5-7}[/tex]
[tex]=\frac{1}{x^{\frac{2}{3}}}[/tex]
Therefore, option B is the correct option.
What is an equivalent fraction for the following fraction?
5/8....
09/16
8/16
10/16
Answer:
10/16
Step-by-step explanation:
I looked at the 5 and looked at every other number and you can't multiply evenly with those other numbers. You can only do 5x2 which will get you ten. But that won't work for the other numbers.
Hope this helps :)