9514 1404 393
Answer:
c = 5.00w +3.10g
Step-by-step explanation:
Let w represent the number of car washes purchased, g represent the number of gallons of gas purchased, and c represent the total cost of the trip.
cost = (cost of car washes) + (cost of gas)
c = 5.00w + 3.10g
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].
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%
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
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
Braden bought 3 books off of Amazon.
Each book was $16.95
Shipping was $5.20
What was the total amount Braden paid for the books?
Answer:
Braden payed $66.45
Step-by-step explanation:
(16.95+5.20)x3
22.15x36
66.45
Nohdjxjxhxhxhdhdjdjfjdjdhfhfjfjfj
Answer:
gfdxkcgftdkrxclfdrkyxcfdretkx
Step-by-step explanation:
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
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! :)
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.
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:
A band earned $550.00 for playing at a concert. Their manager takes 15% of the money earned for each show and the band is donating 20% of the money earned to charity. How much money is left for the band to split?
Answer:
The amount of the money earned left for the band to split is $357.5
Step-by-step explanation:
The amount the band earned for playing at the concert = $550.00
The percentage of the money earned taken by the manager = 15%
The percentage of the money earned the band is donating to charity = 20%
The amount of the money earned the manager takes = 15/100 × 550 = 82.5
∴ The amount of the money earned the manager takes = $82.5
The amount of the money earned that is donated to charity = 20/100 × 550 = 110
∴ The amount of the money earned that is donated to charity = $110
The amount of the money earned left for the band to split = $550 - $82.5 - $110 = $357.5.
What is the sum of -1/2 and 8/6 please help
Alec says the sum of two numbers can never be less than either number.
Use a model to explain why Alec is incorrect,
Answer:
If you put two things together it cannot be less than what was originally there.
Step-by-step explanation:
For example if you have two bowls of soup and you add them together you will have more soup.
Alec is incorrect because this inequality of model 1 + 2 < 4 i.e. the sum of two numbers is greater than either number.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Alec says the sum of two numbers can never be less than an either number.
Using a model a + b < c
Substitute the values a = 1, b = 2, and c = 4 in the inequality of model
1 + 2 < 4
So, the sum of two numbers is greater than either number.
Hence, Alec is incorrect.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
HELP ASAP
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
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]
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
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
To KeianaLol thanks :)
Answer:
PAGE 1
16.) c
PAGE 2
11.) e
12.) a
PAGE 3
13.) e
14.) d
15.) b
PAGE 4 (SCREENSHOT)
Step-by-step explanation:
PAGE 1
16.) C b/c if you draw a line through it you have line of symmetry and a regular hexagon has rotational symmetry.
PAGE 2
11.) P(6, 2) ----(6*3, 2*3) -----> P'(18, 6)
So e is the answer
12.) The compound transformation should read
Dilation with center at origin and scale factor of 1/2
Reflection across the x-axis
Reflection across the x-axis rule is (x, y) -->(x, -y)
a is the answer b/c A(-1, -2) --> A'(-1/2, -1) --> (-1/2, 1)
PAGE 3
13.) The scale of the dilation is 1/4 b/c ---> 25*1/4 = 6.25 and 64*1/4 = 16
So 16*1/4 = 4 and 10*1/4 = 2.5, so e is the answer
14.) Dilation b/c you can either enlarge or reduce the pre-image.
15.) A heptagon has 7 lines of symmetry b/c it is equal to the number of sides
PAGE 4
SCREENSHOT
Hope this helps ya pal!!!
P.S. I added the screenshots that you didn't get the other time!
And on some of the graphs I forgot to put A'' or A''' so you will have to add the extra ' things it depends on how many transformations there are if there are 3 you but 3 ' on the red triangles.
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
What additional information do you need to prove triangle NOP is congruent to triangle QSR?
Answer:
Angle O congruent to Angle S, because this would pass the SAS proof. (Side Angle Side)
I really need some help somebody
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
-3x + 8 = 11
pls help
Answer:
x=-1
Step-by-step explanation:
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]
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
14 butter cookies 7 oatmeal cookies
Answer:
what?
Step-by-step explanation:
can you give me some more details
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
Can somebody help outtt ?? pleasee
Answer:
y=71
x=109
Step-by-step explanation:
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:
estimate 24% of 402
A. 400
B. 100
C. 25
D. 1600
