Answers
Answer:
y = ½x -3
Step-by-step explanation:
_____________________
Related Questions
g^2+2g-48=0
g=
Use a comma to separate answers as needed
Answers
Answer:
g = -8, 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
QuadraticsFactoringMultiple RootsStep-by-step explanation:
Step 1: Define
Identify
g² + 2g - 48 = 0
Step 2: Solve for g
Factor: (g + 8)(g - 6) = 0Find roots: g = -8, 6what is an algebraic expression for the quotient w and 7?
Answers
Answer:
the quotient of w and 7
is it correct?
Step-by-step explanation:
4/8 =?/2 please answer
Answers
Answer:
? = 1
Step-by-step explanation:
4/8 = ?/2
Change the ? into a variable so it's easier to calculate:
Variable x = ?
4/8 = x/2
Cross multiply:
4 × 2 = 8 × x
8 = 8x
Divide both sides by 8 to isolate the variable:
1 = x
Check your work:
4/8 = 1/2
4 × 2 = 8 × 1
8 = 8
Correct!
What is the proof the outcome (not A)?
Answers
9514 1404 393
Answer:
B
Step-by-step explanation:
If the probability of event "A" is 'p', then the probability of the event "not A" is
P(not A) = 1 - P(A) = 1 - p
For p=0.5, this is ...
P(not A) = 1 -0.5 = 0.5 . . . . . matches choice B
Answer:
○B. 0.5 is the proof the outcome (not A).
x[tex]x^{2}-8x+14=2x-7[/tex]
Answers
Answer:
[tex]x = 3\ or\ x = 7[/tex]
Step-by-step explanation:
Given
[tex]x^{2}-8x+14=2x-7[/tex]
Required
Solve
Equate to 0
[tex]x^{2}-8x-2x+14+7=0[/tex]
[tex]x^{2}-10x+21=0[/tex]
Expand
[tex]x^{2}-7x-3x+21=0[/tex]
Factorize
[tex]x(x-7)-3(x-7)=0[/tex]
Factor out x - 7
[tex](x-3)(x-7)=0[/tex]
Split
[tex]x - 3 = 0\ \ x - 7 = 0[/tex]
Solve
[tex]x = 3\ or\ x = 7[/tex]
An ice cream shop finds that its weekly profit P (measured in dollars) as a function of the price x (measured in dollars) it charges per ice cream cone is given by the function k, defined by k(x) = 125x^2 +670x 125 where P= k(x).
Required:
a. Determine the maximum weekly profit and the price of an ice cream cone that produces that maximum profit
b. The cost of the ice cream cone is too low then the ice cream shop will not make a profit. Determine what the ice cream shop needs to charge in order to break even
c. The profit function for Cold & Creamy (another ice cream shop) is defined by the function g where gx)- k(x-2). Does the function g have at the same maximum value as k?
Answers
Answer:
The answer is below
Step-by-step explanation:
Given that k(x) = -125x² +670x - 125, where x is the charge per cone and P = k(x) is the weekly profit
a) The maximum profit is at P'(x) = 0. Therefore we have to find the derivative of the profit equation and equate it to 0.
P'(x) = k'(x) = 0
k'(x) = -250x + 670 = 0
-250x + 670 = 0
250x = 670
x = $2.68
P = k(2.68) = -125(2.68²) + 670(2.68) - 125 = $772.8
Hence the maximum profit is $772.8 when the price of each ice cream cone is $2.68
b) At break even, the profit is 0. Hence P= k(x) = 0
-125x² + 670x - 125 = 0
x = 5.17 or x = 0.19
Therefore to break even, the price of the ice cream cone needs to be $0.19 or $5.17
c) g(x) = k(x - 2)
g(x) = -125(x - 2)² + 670 (x -2) - 125
Maximum profit is at g'(x) = 0
g'(x) = -250(x-2) + 670
-250(x-2) + 670 = 0
-250x + 500 + 670 = 0
250x = 1170
x = 4.68
g(4.68) = -125(4.68 - 2)² + 670(4.68 -2) - 125 = $772.8
Therefore function g has the same maximum value as function k
Find the slope thanks
Answers
10. -1/14
11. -3/4
12. -1/4
13. 11/17
14. -18/13
15. undefined
16. -30
The screen at Dallas’ AT&T Stadium is 175 feet wide. A movie theatre screen with similar dimensions is 40 feet wide with a screen area of 896 ft². What is the area of the screen at AT&T Stadium? Round to the nearest square foot.
Answers
Answer: The area of the screen at AT&T Stadium = 17150 square foot.
Step-by-step explanation:
When two shapes are similar then,
[tex]\dfrac{(\text{Side of first shape})^2}{(\text{Side of second shape})^2}=\dfrac{\text{area of first shape}}{\text{area of second shape}}[/tex]
As per given , we have
[tex]\dfrac{(175)^2}{(40)^2}=\dfrac{\text{Area of AT}\ \&\text{T Stadium }}{896}\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=\dfrac{30625}{1600}\times896\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=17150[/tex]
Hence, the area of the screen at AT&T Stadium = 17150 square foot.
Jenna just got done jumping at the Trampoline center. The total cost of the session was $15.23
She had to pay an entrance fee of $7.25 and $1.45 for every minute she was on the trampoline.
Answers
Answer:
≈ 5.5 minutes.
Step-by-step explanation:
Let m = number of minutes on the trampoline.
[tex]1.45m+7.25=15.23\\1.45m=7.98\\m=5.5[/tex]
She was on the trampoline for approximately 5.5 minutes.
Answer:
= 5.5 minutes
Step-by-step explanation:
1.45 + 7.25 = 15. 23
1. 45 = 15. 23 - 7. 25
1. 45 = 7 . 98
m = 5.5
Hope this answer helps you :)
Have a great day
Mark brainliest
What is the 11th term of the geometric sequence with this explicit formula?
an = 5.(-2)(n-1)
Answers
Answer:
5,120
Step-by-step explanation:
an = 5.(-2)^(n-1)
a11 = 5.(-2)^(11-1)
= 5.(-2)^10
= 5.(1,024)
= 5,120
What are the x- and y-intercepts for the graph of 3x + y = 15?
x-intercept = −3
y-intercept = 15
x-intercept = 3
y-intercept = 1
x-intercept = −3
y-intercept = 1
x-intercept = 5
y-intercept = 15
Answers
Answer:
x-intercept = 5
y-intercept = 15
Step-by-step explanation:
Change the equation to slope-intercept form: y = -3x + 15
You have the y-intercept in that equation already, so you know it's 15. To find the x-intercept, substitute 0 in for y and solve algebraically.
0 = -3x + 15
-15 = -3x
5=x
Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?
Answers
Answer:
What is 1/3 of 814
Step-by-step explanation:
What is 1/3 of 814
Answer: I think C
Step-by-step explanation:
Seventy-six percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 67% have an emergency locator, whereas 88% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)
Required:
a. If it has an emergency locator, what is the probability that it will not be discovered?
b. If it does not have an emergency locator, what is the probability that it will be discovered?
Answers
Answer:
a. 0.0535 = 5.35% probability that it will not be discovered
b. 0.9465 = 94.65% probability that it will be discovered
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. If it has an emergency locator, what is the probability that it will not be discovered?
Event A: Has an emergency locator.
Event B: Not discovered.
Probability of having an emergency locator:
67% of 76%(discovered).
100 - 88 = 12% of 100 - 76 = 24%(not discovered). So
[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]
Probability of having an emergency locator and not being discovered:
12% of 24%. So
[tex]P(A \cap B) = 0.12*0.24[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12*0.24}{0.538} = 0.0535[/tex]
0.0535 = 5.35% probability that it will not be discovered.
b. If it does not have an emergency locator, what is the probability that it will be discovered?
Event A: Has an emergency locator.
Event B: Discovered.
Probability of having an emergency locator:
67% of 76%(discovered).
100 - 88 = 12% of 100 - 76 = 24%(not discovered). So
[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]
Probability of having an emergency locator not being discovered:
67% of 76%. So
[tex]P(A \cap B) = 0.67*0.76[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.67*0.76}{0.538} = 0.9465[/tex]
0.9465 = 94.65% probability that it will be discovered
Evaluate this expression for x=-5 and y=-5
Answers
Answer:
[tex]x - 2y=5[/tex]
Step-by-step explanation:
Given
[tex]x = -5; y=-5[/tex]
[tex]x - 2y[/tex] --- missing from question
Required
Evaluate
We have:
[tex]x - 2y[/tex]
Substitute for x and y
[tex]x - 2y=-5 - 2*-5[/tex]
[tex]x - 2y=-5 +10[/tex]
[tex]x - 2y=5[/tex]
If the measure of arc CB is 8/3 units, what is the measure of CAB?
Answers
Question:
If the measure of arc CB is [tex]\frac{8}{3} \pi[/tex] units, what is the measure of ∠CAB?
Answer:
120°
Step-by-step explanation:
The figure has been attached to this response.
The figure shows a circle centered at A and has a radius of 4 units.
Also, the length of the arc CB (as given in the question) is [tex]\frac{8}{3} \pi[/tex] units.
The length L of an arc is given by;
L = [tex]\frac{\beta }{360} * 2\pi * r[/tex] -----------------(i)
Where;
β = angle subtended by the arc at the center of the circle and measured in degrees
r = radius of the circle
From the question;
β = ∠CAB
r = 4 units
L = [tex]\frac{8}{3} \pi[/tex]
Substitute these values into equation (i) as follows;
[tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 2\pi * 4[/tex]
=> [tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 8\pi[/tex]
Cancel 8[tex]\pi[/tex] on both sides
[tex]\frac{1}{3}[/tex] = [tex]\frac{\beta }{360}[/tex]
Cross multiply
3 x β = 360 x 1
3β = 360
Divide both sides by 3
[tex]\frac{3\beta }{3} = \frac{360}{3}[/tex]
β = 120°
Therefore, the measure of ∠CAB is 120°
6 1/8 qt = ___ c please help
Answers
Answer:
24 1/2 cups
Step-by-step explanation:
we can change 6 1/8 into 49/4
there are 2 cups in 1 quart
now we can set up a proportion:
2÷1 = 'c'÷ 49/4
cross-multiply to get:
49/4 × 2 = c
49/2 = c
c = 24.5
which of these expressions is equivalent to to 7(x+3)
Answers
On expanding the expression, we get - 7x + 21.
We have the following expression -
f(x) = 7(x + 3)
We have to write its equivalent expression.
Expand : f(x) = [tex]$\pi (\sqrt{x} + 5)[/tex]Expanding we get -
f(x) = [tex]$\pi \sqrt{x} + 5\pi[/tex]
According to the question, we have -
7(x + 3)
On expanding, we get -
7(x + 3) = 7x + 21
Hence, on expanding the expression, we get - 7x + 21.
To solve more questions on expanding expressions, visit the link below -
https://brainly.com/question/12308727
#SPJ2
line segment GJ is a diameter of circle L.Angle K measures (4x+6)°
what is the value of x?
21
24
32
44
Answers
Answer:
A. 21
Step-by-step explanation:
Recall: inscribed angle in a semicircle equals 90°
m<K is an inscribed angle in a semicircle = (4x + 6)°
Therefore,
4x + 6 = 90°
Solve for x. Subtract both sides by 6
4x + 6 - 6 = 90 - 6
4x = 84
Divide both sides by 4
4x/4 = 84/4
x = 21
what are the integers from 6 to 25
Answers
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Answer:
✐ The integers from 6 to 25 are ⎆ [tex]\large\bold{7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22,23, 24}[/tex]
Step-by-step explanation:
Natural numbers are numbers that are greater than 0 (all numbers starting from positive 1). All natural numbers are integers. So, in this case ⎇ integers = natural numbers (note :- only in this case)
What is Limit of (3 x minus 3) Superscript five-halves Baseline as x approaches 4
Answers
Answer:
d 243
Step-by-step explanation:
The solution of given function is 243
What is limit of function?
A limit defined as the value which a function approaches as that function's inputs get closer and closer to some number
[tex]lim\ (3x-3)^\frac{5}{2} \\x\to 4[/tex]
[tex](3(4)-3)^\frac{5}{2}[/tex]
[tex](12-3)^\frac{5}{2}[/tex]
[tex](9)^\frac{5}{2}[/tex]
[tex](3^2)^\frac{5}{2}[/tex]
[tex]3^5[/tex]
243
Hence, the solution of given function is 243
Learn more about limit of function
https://brainly.com/question/23008590
#SPJ2
Find the 66th term of the arithmetic sequence -28,-45,-62
Answers
Answer:
Using the formula
an = a of 1 + (n-1)(d)
an = -28 + (n-1)(-17)
simplify
an = -17n - 11
Now that we have the formula, we just plug in 66 for n
a66 = -17(66) - 11
a66 = -1133
Determine the number of solutions for the system 2x+3y=5 and -9y=6x-15
Answers
9514 1404 393
Answer:
infinite number of solutions
Step-by-step explanation:
The two equations describe the same line.
Adding 9y+15 to the second equation makes it be ...
15 = 6x +9y
Dividing that by 3 gives you ...
5 = 2x +3y . . . . . . identical to the first equation
The lines intersect at every point, so there are an infinite number of solutions.
explanation would really help
Answers
Answer:
35
Step-by-step explanation:
the whole line is 49 and line DB is 30.
minus 16 from 30 so 30-16=14
then you minus line CB from EB so 49-14=35
that makes line EC 35
Help please!
Fully factorise
Answers
Answer:
a.8y³-6y
taking common
2y(4y²-3)
is a required answer
b.
3x²-20x+12
doing middle term factorization
3x²-18x-2x+12
3x(x-6)-2(x-6)
(x-6)(3x-2)
is a required answer .
B (x-6) -2 (x-6)
Look Below. (Will give brianliest)
Answers
Answer:
what is your question friend? :)
What's 1/24 + 4/8 simplified?
Answers
Answer:
13/24
Step-by-step explanation:
1/24 + 4/8
first make denominator equal
1/24 + 4*3/8*3
1/24 + 12/24 = 13/24
then check if it can be further simplified
13/24
It cannot so you're done!
Hope this helps!
Answer:
13/24
Step-by-step explanation:
reduce the frcation with 4
1/24 + 1/2
write all numerators above the least common denominator 24
1+12/24
Calcuate 1+12/ 24
which = 13/24
For brainlest pls ……..
Answers
Answer:
4.5 cm²
Step-by-step explanation:
The given shape is a parallelogram , and the area of a parallelogram is ,
Area :-
1/2 * b * hSo , that,
=> A = 1/2 * 2.5 * 1.8
=> A = 4.5 cm²
Answer:
A = 4.5 m²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 2.5 and h = 1.8 , then
A = 2.5 × 1.8 = 4.5 m²
a + b = 300 pls help i cant find out the answer
Answers
Answer:
a= 250
b= 50
250 + 50 = 300
Step-by-step explanation:
There's many solutions but this was the first one I could come up with.
Answer:
my opinion is seince a+b=300 then the sqaure of 300= 17.3?
Step-by-step explanation:
A computer store buys a computer system at a cost of $450.20. The selling price was first at $710, but then the store
advertised a 30% markdown on the system. What is the current sale price? What is the percent mark up on the current sale
price?
Answers
Answer:
i believe it is 497 after the 30% mark down
Step-by-step explanation:
i subtracted 30% from 710
5(x+2)-4 = 13-7(x+1)
Answers
Answer:
0
Step-by-step explanation:
5x+10-4=13-7x-7
5x+6=6-7x
5x+0= -7x
0=-12x
Divide and u get x=0