Answer:
y = [tex]\frac{9}{4}[/tex] (x - 2)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 3 ) , then
y = a(x - 2)² - 3
To find a substitute (4, 6 ) into the equation
6 = a(4 - 2)² - 3 ( add 3 to both sides )
9 = a(2)² = 4a ( divide both sides by 4 )
[tex]\frac{9}{4}[/tex] = a
y = [tex]\frac{9}{4}[/tex] (x - 2)² - 3 ← in vertex form
PLEDE HELP ME EMERGENCYYYYYY
Answer:
1) drinks = $10
2) food = $25
3) total = 7 parts
Step-by-step explanation:
1) 2×5=10
2) 5×5=25
3) 2part+5part=10part
Step-by-step explanation:
the other answer can be a bit confusing.
and the last sentence there is wrong. it should be 2 parts plus 5 parts is 7 parts.
anyway, in questions like this you need to first clarify : how many parts are being used as the whole.
think of it like a cake or a pizza. one friend will eat 2 slices, another will eat 3 slices, and you want only one. then into how many slices do you have to cut the pizza, if there should be no pizza left ?
so, in our case here, the drinks get 2 "slices" of the whole pizza of $35. and food gets 5 "slices". and together they have now the whole pizza.
so the whole pizza was cut into 2+5 = 7 slices.
now we need to spread the whole $35 "pizza" evenly on its 7 slices (or parts).
remember : we use division for that.
35/7 = $5
so, one slice (or part) of the whole $35 is $5.
since drinks get 2 slices (or parts), this is then 5+5 or 5×2 = $10
and food gets 5 slices (or parts). this is then 5+5+5+5+5 or 5×5 = $25
and to verify : $10 + $25 = $35. so, yes, we did not make any mistake. the sum is indeed the total of $35.
is the product of two irrational numbers always gonna be irrational
well, we can say that √2 and √7 are irrational numbers, they do not provide a value that can be written in a "ration" or fractional.
we can also say that √2 * √7 is √(14), which is also irrational.
However, how about √7 * √7, that's √7² or namely just 7, and that's a rational, so nope, not always.
Raj had 1/2 gallon of orange juice. He used 8/9 of the juice to make punch. Raj used this expression to find the amount of juice he used to make punch. 1/2 x 8/9
how much orange juice did Raj use to make punch? the fraction need to be in the simplest form.
Answer:
4/9
Hope i helped
Put these in order starting with the smallest.
Answer:
Step-by-step explanation:
[tex]9^{\frac{3}{2} }[/tex] = ( √9 )³ = 27
[tex]27^{\frac{1}{3} }[/tex] = ∛27 = 3
[tex]125^{\frac{2}{3} }[/tex] = ( ∛125 )² = 25
[tex]27^{\frac{1}{3} }[/tex] , [tex]125^{\frac{2}{3} }[/tex] , [tex]9^{\frac{3}{2} }[/tex]
Answer:
[tex] {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
Step-by-step explanation:
[tex] {9}^{ \frac{3}{2} } = \sqrt[2]{ {9}^{3} } = \sqrt[2]{ {3}^{6} } = { 3}^{3} \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[ 3]{ {3}^{3} } = 3 \\ {9}^{ \frac{3}{2} } > {27}^{ \frac{1}{ 3} } \\ \\ {125}^{ \frac{2}{3} } = \sqrt[3]{ {125}^{2} } = \sqrt[3]{ {5}^{6} } = 25 \\ \\ 3 < 25 < {3}^{3} \\ {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
Please help me with this question :)
Answer:
B
B
B
Step-by-step explanation:
Probability doesn't deal with decimals and even if you change the values into fraction. I don't think you will get the right answer
Graph the compound inequality on the number line.
Answer:
x can equal any number between 0 and 8. This also includes 8.
Step-by-step explanation:
As noted in the problem, x is more than -1 (x > -1)
So we can infer that -1 and anything past it to the left is not a viable answer.
As noted in the problem, x is lesser than or equal to 8 (x ≤ 8) meaning that anything past 8 to the right will not be a viable answer.///
It will look something like this.
It will stop here --v
---•---|---|---|---|---|---|---|---•---
0 1 2 3 4 5 6 7 8
(Hope this helped, however I learned this 2 years ago so my memory might be a little foggy. The exact kind of point (filled or not) namely won't be something I know.)
help pls ill give you brainliest :))
Answer:
D) 14.2
Step-by-step explanation:
A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15x, x < or equal 200
0.10 (x - 200) + 30, x > 200
determines
the bill.
How much is the bill for a person who uses 300 kWh in a month?
A. $45
B. $40
Ο Ο Ο Ο
C. $60
D. $55
please help
Answer:
B. 40
Step-by-step explanation:
if x=300, it means x>200, then b(x)=0.1(x-200)+30; ⇔ b(x)=0.1*100+30= 40 [USD].
The bill for a person who uses 300 kWh in a month is $40.
Option B is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
For a person who uses 300 kWh in a month, we need to use the second part of the function:
b(x) = 0.10(x - 200) + 30, x > 200
Substituting x = 300, we get:
b(300) = 0.10(300 - 200) + 30
b(300) = 0.10(100) + 30
b(300) = 10 + 30
b(300) = 40
Therefore,
The bill for a person who uses 300 kWh in a month is $40.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
in the given diagram ,
( angle )AOC= 20 °/• of ( angle )BOC . find the measure of ( angle )AOE if OE is the bisector of
( angle ) AOD
• need a well explained ans
• no spams and plagiarism
• kindly stay out of the question if u don't know the ans
Answer:
It should be BOC
Step-by-step explanation:
this is because a bisector is always a cross or any other shape that cuts something into its exact half (unlike intersect which can cut any shape in any form unlike its exact half )
so, as you can see in the figure, angle BOC is bisecting* AOC at its exact half, angle BOC is the answer.
Also, the measure of BOC (angle) should be 53°
A trapezoid has interior angle measures of 90, 90, 75 and ? degrees. Find the measure of angle in the trapezoid. Enter only the number of degrees in the answer box. Angle measures blankdegrees.
Answer:
105 degrees.
Step-by-step explanation:
Total of angles in trapezoid = 360
so the answer is
360 -(90+90+75)
= 105
What would y equal in this equation?
3 + 4/1y = 5x + 2
Step-by-step explanation:
Since you can't directly solve for [tex]y[/tex] in this question, we will use substitution to solve for
[tex]{\large{\boxed{\mathbb{QUESTION}}}[/tex]
What would y equal in this equation?
[tex]\begin{bmatrix}3+\frac{4}{1}y=5\\ x+2=0\end{bmatrix}[/tex]
[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:Y}}}[/tex]
[tex]3+\frac{4}{1}y=5[/tex]
First, we will subtract 3 from both sides of the equation
[tex]\frac{4}{1}y=2[/tex]
Simplify
[tex]{4}y=2[/tex]
Divide both sides by 4
[tex]y=\frac{1}{2}[/tex]
[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:X}}}[/tex]
[tex]x+2=0[/tex]
subtract 2 to both sides
[tex]x=-2[/tex]
[tex]{\large{\boxed{\mathbb{ANSWER}}[/tex]
[tex]y=\frac{1}{2}[/tex] [tex]x=-2[/tex]_____________________________________
If we didn't use the method with substitution and had our equation being
[tex]3+\frac{4}{1y}=5x+2[/tex]
our answer would've been
[tex]y=\frac{-4}{-5x+1}[/tex], I highly doubt this would be the right answer.
Have a good day :) !a group of 5 nurses comtain 3 women and 2 men. a second nurse is chosen at random form the four remaining nurses. given that the first nurse was a woman, what is the probability that the second nurse is also a woman
Compare the properties of each exponential function over the interval(0,4)
Answer:
sdgsehseh
Step-by-step explanation:
sehsdhsehsdhs
Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]x = 14[/tex]
Step-by-step explanation:
[tex]x \sin(30) = 7 \\ x = \frac{7}{ \sin(30) } \\ x = 7 \times 2 \\ x = 14[/tex]
PLEASE SOMEONE HELP ME OUT THIS IS URGENT PLEASE AND THANK YOU! ):
Answer:
for the first line let (-4,-3) be (x1,y1) and (8,0) be x2,y2.
now,
slope (m1) = (y2-y1)/ (x2-x1)
or, m1= 0-(-3)/ 8-(-4)
or, m1=3/12=1/4
again, for line two consider (0,2) as x1,y1 and (-1,6) be (x2,y2)
apply the same formula and find the slope(m2)
m2=6-2/-1-0
or, m2=4/-1
for b) m1 multiply m2
or 1/4 x 4/-1
=-1 so it is perpendicular
Step-by-step explanation:
for a we simply apply the formula of slope considering the given points as x1,y1 and x2,y2 respectively.
while for the b number if m1 x m2 =-1 the line is considered to be perpendicular.
similarly, if m1=m2 then it is considered to be parallel.
here m1 is slope of the first line, m2 is slope of second line and m3 is the slope of the third line
What is the sum of all the values of m that satisfies [tex]4mx^{2} −2m-6=0[/tex]
Answer:
The sum of the solutions = 1/2
Step-by-step explanation:
4m^2 - 2m - 6 = 0
Factor out 2
2( 2m^2 -m-3) =0
2 ( 2m-3)(m+1) =0
Using the zero product property
2m-3 =0 m+1 =0
2m =3 m=-1
m = 3/2 m=-1
Adding the solutions
3/2 -1
+3/2 -2/2
1/2
9514 1404 393
Answer:
1/2
Step-by-step explanation:
A quadratic equations that has solutions p and q can be factored as ...
(x -p)(x -q) = 0
When this is expanded, it becomes ...
x^2 -(p+q)x +pq = 0
That is, the opposite of the x-coefficient is the sum of the solutions.
__
We can put your quadratic into this form by dividing by the leading coefficient, 4.
(1/4)(4m^2 -2m -6) = 0
m^2 -1/2m -3/2 = 0
The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.
The average electric bill from Duke Energy is $147 with a standard deviation of $32. What is the probability that the bill will be less than $100?
Group of answer choices
93%
10%
7%
17%
The probability that the bill will be less than $100 is 7%
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean\\\\\\Given\ that\ \sigma=32,\mu=147,hence:\\\\For\ x<100:\\\\z=\frac{100-147}{32}=-1.47[/tex]
From the normal distribution table, P(x < 100) = P(z < -1.47) = 0.0708 = 7.08%
The probability that the bill will be less than $100 is 7%
Find out more at: https://brainly.com/question/15016913
the question is in the picture, 30 points and BRAINLIEST if right!!
Answer: relation 3 function relation 4 not a function
Step-by-step explanation:
Write the equation in point-slope form of the line that passes through the given point with the given slope.
m= -1
The equation of the line is
(Simplify your answer. Type an equation. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation)
Answer:
[tex]\displaystyle y - 5 = -(x + \frac{1}{5})[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Slope m = -1
Point [tex]\displaystyle (-\frac{1}{5} ,\ 5)[/tex]
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - 5 = -(x - -\frac{1}{5})[/tex][Order of Operations] Simplify: [tex]\displaystyle y - 5 = -(x + \frac{1}{5})[/tex]Evaluate 4(x-3)+5x-x^2 for x = 5
Answer:
the answer is 8
Step-by-step explanation:
1. plug in 5 where there is an x: 4(5-3)+5(5)-[tex]5^{2}[/tex]
2. solve everything out and cancel: 4(2)+25-25
3. 4(2)=8
Step-by-step explanation:
Given that:
Evaluate 4(x-3)+5x-x^2 for x = 5
⇛4(5-3)+5(5)-5²
⇛4(2) + 25 - 5*5
⇛8 + 25 - 25
⇛8 - 0
⇛8 Ans
Read more:
Similar questions
Evaluate the expression 3 4/5x − 2 1/2 for x = −5.
https://brainly.com/question/13793815?referrer
Which of these is a ratio equivalent to 3/2?
A. 6/4
B. 3/4
C. 5/2
D. 5/2
Answer:
A
Hope I helped
What is the average rate of change of the function from x=1 to x=3?
Answer:
3
Step-by-step explanation:
1.) 5x-10=2x-7
2.) 1+x=-5x+25
3.) 8-x=5x+20
4.) -2+2x=6x-6
5.) 3x+2=4x+4
Of the numbers 4, 5, 6, and 7, which is a solution to the inequality “t+2<7
Answer:
Step-by-step explanation:
F(x)=0
Answer: C
It is right lol
Write 40% as a fraction
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
40% = [tex]\frac{40}{100}[/tex] ( divide numerator and denominator by 20 )
40% = [tex]\frac{2}{5}[/tex]
Answer:
Step-by-step explanation:
40%= 40/100
Percent is out of 100 and written as % so there for it is 40 out of 100 or 40 over 100
40/
a shower head model is using 25 gallons every 5 minutes. How many gallons will be used in one minute?
Answer:
47 gallons is you want the world wide web nya berarti aku 0you
1. find the area of a semi circle of diameter 14cm
2.find the area of a circle of radius 1cm
3.find the areaof a circular lawn whose diameter is 10cm
#1
d=14cmr=14/2=7cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(7)^2[/tex]
[tex]\\ \sf\longmapsto Area\approx 154cm^2[/tex]
#2
r=1cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(1)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14cm^2[/tex]
#3
d=10cmr=5cm[tex]\\ \sf\longmapsto Area=3.14(5)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(25)[/tex]
[tex]\\ \sf\longmapsto Area=78.5cm^2[/tex]
Answer:
1. Diameter of a semicircles =14cm
Radius or semicircle =7cm
*Area if circle =pi radius 2
=22/7 × 7×7cm 2
=154cm 2
But semicircle is half if a circle so,
Area of a semicircle =1/2 ×154cm2
=77cm2
2. Radius of the circle =1cm
Area of the circle=pi radius 2
=3.14×1×1
=3.14cm2
3.Diameter of a circular lawn=10m
Radius of the circular lawn =5m
Area of the circular lawn =pi radius2
=3.14×5m×5m
=78.5m2
Hope this helps:)HELP!
Problem:
Dan is cutting 4.75 foot lengths of twine from a 240 foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.
Answer:
4.75 is about -5(40) =-200, and 340-200=40
Step-by-step explanation:
When doing curls, John is careful to extend through the full range of motion and quickly lock his elbows to make sure that he does not drop the weight. This is an example of __________. A. A good technique because he moves quickly B. A bad technique because he moves through the range of motion C. A good technique because he is paying attention to form D. A bad technique because he quickly locks a joint Please select the best answer from the choices provided. A B C D.
Answer:
d
Step-by-step explanation:
Answer: D. A bad technique because he quickly locks a joint!
Step-by-step explanation: On Edge!
PLS HELP!! The question is in the photo!! I’m being timed pls hurry!! NO LINKS, NO STEALING POINTS, AND ONLY CORRECT ANSWERS!!!
Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.
Step-by-step explanation:
Step 2 : Subtraction property of equality
Step 3: simplification
Step 4 : Subtraction property of equality
Step 5: Simplification
Step 6: Multiplication property of equality.
Step 7 : simplification
