Answer:
$2.50
2015: $2.00
2000: $7.50
2000: $5.00
2000: $2.00
2015: $9.00
2015: $6.50
2015: $4.50
2010
1. what is the percent of change in the cost of a pizza? _ a
x 150
100 1.50 p1500 750 1155oo.
150 isg
pi
2. what is the percent of change in the cost of a cheeseburger?
175
6.50
1.50
Step-by-step explanation:
1/x+x/2=11/6 transformable to quadratic equations
Note: Consider we need to find the solution of given equation.
Given:
The equation is
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
To find:
The solution of the equation.
Solution:
We have,
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]
By cross multiplication, we get
[tex]6(2+x^2)=11(2x)[/tex]
[tex]12+6x^2=22x[/tex]
[tex]6x^2-22x+12=0[/tex]
[tex]2(3x^2-11x+6)=0[/tex]
Divide both sides by 2.
[tex]3x^2-11x+6=0[/tex]
Splitting the middle term, we get
[tex]3x^2-9x-2x+6=0[/tex]
[tex]3x(x-3)-2(x-3)=0[/tex]
[tex](x-3)(3x-2)=0[/tex]
Using zero product property, we get
[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]
[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]
Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].
Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).
Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
We are given the algebraic equation: 1/x+x/2=11/6
Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.
LCD(x,2,6) = 6x
Multiply all through the fractions by 6x
(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)
6 + 3x² = 11x
Rewriting the equation:
3x² - 11x + 6 = 0
Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
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PLS help me asap
A motorboat moves across a lake at a constant speed. When it begins, it is 64
km from the shore. After 17 minutes, it is 30 km from the shore. Which
function describes the motorboat's distance from the shore?
The answer
A. y= 2x+64
B. y=-2x+64
C. y=-17x+ 30
D. y=-17x+64
Answer:
y=-2x+64 i think
Step-by-step explanation:
Select the correct answer from the drop-down menu.
Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
A One Solution
B No solution
c Infinite Solution
Answer:
one solution
Step-by-step explanation:
Answer:
one solution
Step-by-step explanation:
if Ad = 2x + 2 and cd= x +11, what is the value of x
Answer: the answer is 9
Step-by-step explanation:
Please help me I am confused
Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for every lap she ran. How many laps did Antonia run? Use a piece of paper to draw a tape diagram and show your work.
Answer:
30 laps
Step-by-step explanation:
Take 265 then subtract 25. you get 240. then divide that by 8. you get 30 so she ran 30 laps
Help I Dont Understand?
which number are composite numbers-49,35,32,41,47
Answer:
49, 35, 32
Step-by-step explanation:
A prime number is a number whose factors are 1 and itself
Eg 7
7 is a prime number because it only comes in table one and 7
Or it’s only factors are 1 and itself
A composite number comes in 1, itself and other tables
Eg. 16
It comes in table 1, 2, 4 and 16
Answer: 49,32,35.
Hope this helps!
A game show awards 30 points for each correct answer and deducts 50 points for each incorrect answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is their final score?
Answer:
-10
Step-by-step explanation:
He got -100 points for 2 incorrect answers
And got 90 points for correct answers
so final score is -10
In the 2017 national Youth Risk Behavior Survey, 16.5% of high school students had ridden with a driver who had been drinking alcohol within the previous month. This data came from an SRS of 14,500 students. what is the mean and standard deviation
Answer:
[tex]Mean = 2392.5[/tex]
[tex]SD = 44.70[/tex]
Step-by-step explanation:
Given
[tex]Students = 14500[/tex]
[tex]p = 16.5\%[/tex]
Solving (a): The mean
Mean is calculated as thus:
[tex]Mean = np[/tex]
[tex]Mean = 16.5\% * 14500[/tex]
Convert % to decimal
[tex]Mean = 0.165 * 14500[/tex]
[tex]Mean = 2392.5[/tex]
Solving (b): The Standard Deviation
Standard deviation (SD) is calculated as thus:
[tex]SD = \sqrt{np(1-p)}[/tex]
[tex]SD = \sqrt{14500 * 16.5\%(1-16.5\%)}[/tex]
Convert % to decimal
[tex]SD = \sqrt{14500 * 0.165 * (1-0.165)}[/tex]
[tex]SD = \sqrt{14500 * 0.165 * 0.835}[/tex]
[tex]SD = \sqrt{1997.7375}[/tex]
[tex]SD = 44.6960568731[/tex]
[tex]SD = 44.70[/tex]
The larger of two numbers is 4 more than 2 times the smaller number. If the sum of the two numbers is 28, what is the larger number
Answer:
The larger number is 20.
Step-by-step explanation:
Let x and y be the two numbers.
y = 2x + 4
x + y = 28
So x + 2x + 4 = 28
3x = 24
x = 8
y = 20
What is the equation of the line shown in this graph?
Answer:
y= 1
Step-by-step explanation:
Use y=mx +b
We have no slope so its just y= b
y=1
please helppp ppppñpñp
Answer:
I tried my best to explain it, hope it helps!
Step-by-step explanation:
Solve for z;
z/12 = 18/72
Answer:
3
Step-by-step explanation:
z/12=18/72 z/12=1/4 z=3
Answer:
The answer is z=3
Step-by-step explanation:
hope this helps
z/12 = 18/72
72z=216
To find z divide both sides by 72
72z/72=216/72
z=3
need ASAP!!
Order the events in the correct order from 1 being the LEAST likely to occur to 4 being the
MOST likely to occur.
flipping a fair coin and having the
coin land with the tails side facing
up
spinning a spinner with 8 equal
sections numbered 1 to 8 and
landing on a number greater than 1
spinning a spinner with 10 equal
sections numbered 1 to 10 and
landing on 5
rolling a 0 on a number cube
with sides numbered from
1 to 6
Answer:
starting from top to bottom
2
1
3
4
Step-by-step explanation:
In that order
pleasee heelllppp asapppp ugghhh its for a testtt plzzzzzz
Answer:
The answer is 1
Answer:
i think -3
Step-by-step explanation:
HELP!!! Parallel Line Proofs
A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?
Mr Thompson wants to cut a 5-ft rope into a 1/4-ft sections how many 1/4 sections will he have
Answer:
20 pieces of rope
Step-by-step explanation:
Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.
5 x 4 = 20 pieces of rope.
I hope that this helps! :)
Describe how the graph of y=2xy=2x is the SAME as the graph of y=2x-7y=2x−7.
Select all statements that are true.
They both have a slope of 2.
They cross the x-axis at the same point.
They are parallel to each other.
They have the same slope.
They are in the same location.
They cross the y-axis at the same point.
Answer:
-They both have a slope of 2.
-They are parallel to each other.
-They have the same slope.
Step-by-step explanation:
The 2 equations are;
y = 2x and y = 2x - 7
Now, from slope intercept equation,
y = mx + c
Where m is slope and c is the intercept on the y-axis
From the 2 equations y = 2x and y = 2x - 7, Comparing with y = mx + c, we can see they both have a slope of 2.
For 2 lines to have same slope, it means that they are parallel and have different y-intercepts.
They should cross the x-axis when y = 0.
But at x = 0,we have;
y = 2x = 0. And x = 0
Also,for y = 2x - 7 is y = 2x - 7 = 0
2x = 7 and x = 7/2.
Thus,they don't cross the x - axis at the same point
Looking at the options, we can see that there are 3 correct ones from what we've described above namely;
-They both have a slope of 2.
-They are parallel to each other.
-They have the same slope.
Answer:
its
Step-by-step explanation:
which function has the range (-infinity,-2]U[0,infinity)?
a. y=cos(x+1)
b. y=csc(x)-1
c. y=sec(x)+1
d. y=cot(2x)-1
Answer:
y= csc(x)+1
Step-by-step explanation:
A P E X
cosec(X) + 1 has the range (-infinity,-2]U[0,infinity)
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
As, the given range (-infinity,-2]U[0,infinity) well satisfied the cosec(X) + 1
Generally, Range of Cosec x is, (-∞,-1] ∪ [1,∞).
So,
Range of Cosec (x) +1 will be ,
= (-∞,-1+1] ∪ [1+1,∞).
= (-∞, 0] ∪ [2,∞)
Learn more about this concept here:
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describe and correct the error a student made when finding the function rule for the data in the table
I don't know if you still need the answer, but it's in the picture
The correct statement is; B. When x increases by 1, y increases by 9. The function rule is y = 9x + 1
What is linear function?A linear function is represented as: y = mx + c
Where m is the slope and b is the intercept the value of y, when x = 0
From the given table, we have the following observations that;
As x increases by 1
The value of y increases by 9 and the slope of the table is 9
So, we have been given m = 9
Then y = 9x + c
Since an increment of 1 in the value of x will result in an increment of 9 in the value of y which means that; If x is reduced by 1, the corresponding value of y would reduce by 9.
When x = 1 then y = 10
This means that y = 9x + 1
The correct statement is; B. When x increases by 1, y increases by 9. The function rule is y = 9x + 1
Read more about functions at:
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Talya wanted to hit 20 homeruns this season. She ended up hitting 150% of her goal. How many homeruns did Talya hit this season?
Answer:
30
Step-by-step explanation:
tell me if im wrong
sorry if i am TmT
At what point do the graphs of x = 5 and y = -3 intersect
Determine the slope and the y-intercept of the table.
Answer:
Slope: 1.5
Y-Intercept: -1
HELP!!!!i will give BRAINLIEST
Answer:
2.9
Step-by-step explanation:
2 9/10 as an improper fraction is 29/10
29/10 as a decimal is 2.9
Answer:
2.9
Step-by-step explanation:
Math. Pls give brainliest:)!
R - 27 / 6 = 7
SOLVE FOR R
PLEASE I WILL GIVE THE HIGHER POINTS
Answer:
R=28.15
Step-by-step explanation:
R-27\6=7
6R-27=7
6R=7+27
6R=34
R=34÷6
R=28.15
Look at image please help me ASAP
Answer:
[tex]\frac{-3 y^{11} }{x}[/tex]
Which of the following is a solution for 5 - 2xs-3?
-4
4
1
-1
How many unit cubes are required to create a larger cube with edge length 3 units?
Answer:
The unit cubes that are required to create a larger cube with an edge length of 3 units is:
27 cubes.
Step-by-step explanation:
To identify the number of cubes you need to create a larger cube, you must think in the number of cubes of the length (3 cubes in this case), and use the exponent 3, because you need to form a cube. Below I'll show you:
To understand it in a better form, suppose that you need a cube with an edge of 5 units, in that case, remember you use the number 5 how base and the exponent is 3, because is a cube, in that case, it would be:
If it wasn't a cube but a square, you must elevate to the number 2, in the case of the cube is elevated to 3, so, the unit cubes that are required to create a larger cube with an edge length of 3 units is 27 cubes.
