-3x + 8 = 11
pls help
Answer:
x=-1
Step-by-step explanation:
What is the value of x ?
Write y= -1(x-4.5)^2 + 15.25 in standered form
Given:
The equation is
[tex]y=-1(x-4.5)^2+15.25[/tex]
To find:
The standard form of the given equation.
Solution:
We have,
[tex]y=-1(x-4.5)^2+15.25[/tex]
It is a quadratic equation.
The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.
[tex]y=-(x-4.5)^2+15.25[/tex]
[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=-[x^2-9x+20.25]+15.25[/tex]
[tex]y=-x^2+9x-20.25+15.25[/tex]
[tex]y=-x^2+9x-5[/tex]
Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].
Mia drew a map of a park. Mia’s map shows the endpoints of the walking paths at A(2, 2), B(2, 6), C(8, 6), and D(8, 2). There are 6 walking paths: AB, BC, CD, AD, AC, and BD. Are walking paths AC and BD perpendicular?
Answer:
yes, both lines are somewhere on the top and the bottom going straight
question is attached
Hello!
[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]
[tex]f(x) = \frac{2x +2}{4x - 5}[/tex]
Find the inverse by swapping the x and y variables:
[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]
Begin simplifying. Multiply both sides by 4y - 5:
[tex]x(4y - 5) = 2y + 2[/tex]
Start isolating for y by subtracting 2 from both sides:
[tex]x(4y - 5) -2 = 2y[/tex]
Distribute x:
[tex]4yx - 5x - 2 = 2y[/tex]
Move the term involving y (4yx) over to the other side:
[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]
Factor out y and divide:
[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]
Use this equation to evaluate [tex]f^{-1}(3)[/tex]
[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]
The lines graphed below are perpendicular. The slope of the red line is 4 what is the slope of the green line
m=
Answer:
m=-1/4
Step-by-step explanation:
Perpendicular lines are negative reciprocals.
So if you have a slope of m= 4x you can break it up into, two parts
m= -4x
this is the negative^
and the reciprocal of m= -4x is m= -1/4x
The slope of the green line if the lines are perpendicular would be -1/4.
How to find if two lines are perpendicular to each other?If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other.
That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a.
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
For the two lines two be perpendicular, the product of their slope must be -1.
Let the slope of the red and green line be m1 and m2.
Given the following
The Slope of red line = 4
According the definition, we get,
4m2 = -1
m2 = -1/4
Hence, the slope of the green line if the lines are perpendicular is -1/4
Learn more on perpendicular lines here:
brainly.com/question/1202004
#SPJ5
estimate 24% of 402
A. 400
B. 100
C. 25
D. 1600
What is the value of X???? I will mark brainliest to the first right answer!!!!
Answer:
The value of x=-8
Step-by-step explanation:
hope this helps.
Answer:
x = -8
Step-by-step explanation:
[tex]\frac{3}{4}(\frac{1}{4}x+8)-(\frac{1}{2}x+2) =\frac{3}{8}(4-x)-\frac{1}{4}x\\\\\frac{3}{4}*\frac{1}{4}x+\frac{3}{4}*8-\frac{1}{2}x-2 =\frac{3}{8}*4-\frac{3}{8}x-\frac{1}{4}x\\\\\frac{3}{16}x+3*2-\frac{1}{2}x-2 =\frac{3}{2}-\frac{3}{8}x-\frac{1}{4}x\\\\\\ \frac{3}{16}x+6-\frac{1}{2}x-2 =\frac{3}{2}-\frac{3}{8}x-\frac{1}{4}x\\\\\frac{3}{16}x-\frac{1}{2}x+\frac{3}{8}x+\frac{1}{4}x=\frac{3}{2}-4\\\\\\\frac{3}{16}x-\frac{1*8}{2*8}x+\frac{3*2}{8*2}x+\frac{1*4}{4*4}x=\frac{3}{2}-\frac{4*2}{1*2}\\\\\\[/tex]
[tex]\frac{3}{16}x-\frac{8}{16}x+\frac{6}{16}x+\frac{4}{16}x = \frac{3}{2}-\frac{8}{2}\\\\\frac{3-8+6+4}{16}x = \frac{3-8}{2}\\\\\frac{5}{16}x = \frac{-5}{2}\\\\x = \frac{-5}{2}*\frac{16}{5}\\\\x = -8[/tex]
A set of 6 water bottles are sold for 12. What is the unit cost per water bottle?
$2.00 US Dollars is the answer
14 butter cookies 7 oatmeal cookies
Answer:
what?
Step-by-step explanation:
can you give me some more details
I really need some help somebody
Easy points if u know it
Answer:
True
Step-by-step explanation:
The formula for the area of a circle is πr² where r is the radius. So if 3 is the radius, plug it into the formula:
π(3²)
Simplify it:
π(9)
This can be rewritten as:
9π
So, the answer is true
Hope this helps! :)
The temperature was 8 degrees below zero at 5 A.M. By 1 P.M. the temperature had risen 23 degrees. What was the temperature at 1 P.M.?
Answer:
15 degrees
Step-by-step explanation:
write an equation in slope-intercept form for the line. slope=4,y-intercept=3
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4 and c = 3, then
y = 4x + 3 ← equation of line
can you help plzzz
Answer:
1.1 ithink
Step-by-step explanation:
It is already to late to answer this because my final was due yesterday:
What percent is increase if the boy had 12 comic books and bought mores so now he has 15 comic books.
Answer:
increase by 25%
Step-by-step explanation:
15-12=3
12÷3=4
4=25%
please please help me im just gonna spam the questions that i dont know until people start answering
Answer:A
Step-by-step explanation:
When graphed it is the only one to semi-complete the pattern
6x-(2x-9)=-31 whats x?
Answer: [tex]x = -10[/tex]
Step-by-step explanation:
Hey there! I hope these steps will help you accomplish this problem :)
Step 1: Remove the parentheses.
[tex]6x - 2x + 9 = -31[/tex]
Step 2: Simplify.
[tex]6x - 2x + 9[/tex] to [tex]4x + 9[/tex].
[tex]4x + 9 = -31[/tex]
Step 3: Subtract 9 from both of the sides.
[tex]4x = -31 - 9[/tex]
Step 4: Simplify.
[tex]-31 - 9[/tex] to [tex]-40[/tex].
[tex]4x = -40[/tex]
Step 5: Divide both of the sides by 4.
[tex]x = -\frac{40}{4}[/tex]
Step 6: Simplify.
[tex]\frac{40}{4}[/tex] to [tex]10[/tex].
[tex]x = -10[/tex]
Answer:
Step-by-step explanation:
Here you go mate
step 1
6x-(2x-9)=-31 equation
step 2
6x-(2x-9)=-31 simplify
6x+-1(2x-9)=-31
step 3
6x+(-1)(2x-9)=-31 distribute
6x+-1(2x)+(-1)(-9)=-31
6x+-2x+9=-31
step 4
(6x+-2x)+(9)=-31 combine the terms that are alike
4x+9=-31
step 5
4x+9(-9)=−31(-9) subtract-9
4x=-40
step 6
4x/4=-40/4 divide by 4 because 4 is a number that can make the division easier
answer
x=-10
Use the triangle to answer the question. What is the value of x?
Answer:
B). 48
Step-by-step explanation:
48•64=3072
3072÷64=48
Answer:
value of X=180-(48+48)
=180-96
=84
What is the sum of -1/2 and 8/6 please help
Nohdjxjxhxhxhdhdjdjfjdjdhfhfjfjfj
Answer:
gfdxkcgftdkrxclfdrkyxcfdretkx
Step-by-step explanation:
HELP ASAP
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
Simplify all four questions correctly-
(p - 3) + (p - 7)
(3n - 1) + ( -n + 4)
(-t + 5) + (3t + 2)
(7k + 9) + (4k - 3)
Answer:
1. 2p - 10
2. 2n + 3
3. 2t + 7
4. 11k + 6
Step-by-step explanation:
Can somebody help outtt ?? pleasee
Answer:
y=71
x=109
Step-by-step explanation:
28. (03.05 MC) Martin walked away from his school at a constant velocity for the first 30 seconds. He realized that he had to pick up a book from his friend's house which he had already passed. He turned around and walked to his friend's house at a constant velocity for 10 seconds. He stopped at his friend's house for 40 seconds and then walked away from school again at a constant velocity for the next 20 seconds. Which of the following graphs best represents Martin's motion? (5 points) First straight line joins ordered pairs 0, 0 and 40, 25, second straight line joins 40, 25 and 80, 25, and third straight line joins 80, 25 and 100, 10 First straight line joins ordered pairs 0, 0 and 30, 25, second straight line joins 30, 25 and 40, 20, and third straight line joins 40, 20 and 100, 50 First straight line joins ordered pairs 0, 0 and 30, 25, second straight line joins 30, 25 and 40, 20, third straight line joins 40, 20 and 80, 20, and fourth straight line joins 80, 20 and 100, 10 First straight line joins ordered pairs 0, 0 and 30, 25, second straight line joins 30, 25 and 40, 20, third straight line joins 40, 20 and 80, 20, and fourth straight line joins 80, 20 and 100, 50
Answer:
The answer is A
Step-by-step explanation:
I did it in FLVS
Plz solve this as soon as possible it is due today, all it is is yes or no
Answer:
1 Rational, Integer
2 Rational
3 Rational, Whole
4 Rational , Whole
5 Rational
6 Rational
7 Rational
8 Rational
Step-by-step explanation:
Pretty sure this is correct
Write the prime factorization of 42. Use exponents when appropriate and order the factors from least to greatest (for example, 22
Answer:
2 * 3 * 7 = 42
Step-by-step explanation:
2,3 and 7 are prime numbers
It takes two hours for Bill to wash 1 car. How many cars can he wash in 42 hours?
which postulate or theorem justifies the congruence statement, ABE is congruent to CDE?
- SSS
- SAS
- ASA
- AAS
Answer:
SAS
Step-by-step explanation:
Hope this helps:)
Answer:
SAS
Step-by-step explanation: You can use vertical angles congruence theorem for angles AED and BEC which gives you an angle, using taht info you can detremine that its SAS
PLEASE HELP ASAP!!!
I will mark brainliest if there are multiple answers!!!
Answer:
80%
Step-by-step explanation:
Not so sure about the answer, but hopefully it helps.
