Answers
9514 1404 393
Answer:
1. see the first attachment for a graph; quadrants I, II, III; vertex (-3, -4); x-intercepts -5, -1; graph is dashed line, shaded inside the parabola, which opens up
2. see the second attachment for a graph; all quadrants; vertex (1, 2); x-intercepts 1±√2; graph is a solid line, shaded outside the parabola, which opens down; (-7, 0) is a solution
Step-by-step explanation:
1. The boundary expression is in vertex form, so the vertex can be read directly.
y = (x -h)^2 +k . . . . . . parabola with vertex (h, k)
y > (x +3)^2 -4 . . . . . (h, k) = (-3, -4)
The leading coefficient is +1, a positive number, so the parabola opens up. The relation is y > ( ), so values of y above the dashed line will be shaded. Those values are inside the parabola. The points (0, 0) and (-7, 0) are not in the shaded area, so are not solutions.
__
2. Again, the boundary expression is in vertex form, so the vertex can be read directly.
y ≥ -(x -1)^2 +2 . . . . . (h, k) = (1, 2)
The x-intercepts are found by solving for x when y=0:
0 = -(x -1)^2 +2
x -1 = ±√2
x = 1±√2
The leading coefficient is -1, so the parabola opens downward. The relation is y ≥ ( ), so y-values above the solid line will be shaded. Those values are outside the parabola. Point (0, 0) is not a solution. Point (-7, 0) is a solution.
_____
Additional comment
As with the graph of any inequality, the boundary line is solid when the "or equal to" case is part of the relation. If the relation is strictly "greater than" or "less than", then the boundary line is dashed.
Related Questions
A factory worker can package 150 games in 15 minutes. How many games can he package per minute
Answers
Frieda and three of her friends decide to go canoeing. They each rent a life preserver for $12.75. They split the cost of the canoe. If each person pays $23.75, how much did the canoe cost?
Answers
Answer:
The canoe cost $44
Step-by-step explanation:
There are 4 friends that went canoeing. Each one of them spent a total of $23.75 including $12.75 for the rent of a life preserver, and for one-fourth of the canoes cost, assuming they split the total cost of the canoe.
From the $23.75, we must subtract the $12.75 that the life preserver cost:
$23.75-$12.75 = $11
Those $11 were the individual contribution to the cost of the canoe. Since there were 4 friends, the canoe cost 4*$11 = $44
The canoe cost $44
Cesars net worth is 8,250.63 his liabilities are 3,222.35 what is cesars assets
Answers
Given parameters:
Net worth of Cesar = 8250.63
Liabilities = 3222.35
Unknown:
Cesar's asset = ?
Solution:
A person's net worth is their Assets minus liability;
Net worth = Assets - Liabilities
Assets = Net worth + Liabilities
For Cesar;
Assets = 8250.63 + 3222.35 = 11472.98
Cesar's assets is 11472.98
At the local salon, you can get a haircut for $25.50. You want to leave the hairdresser a 18% tip. How much of a tip will you leave? *
Answers
Answer:
$4.59
Step-by-step explanation:
A right triangle and two of its side lengths are shown in the diagram. 39 cm 12 cm x cm Which measurement is closest to the value of x in centimeters?
A: 37.1 cm
B: 51 cm
C: 27 cm
D: 40.8 cm
Answers
Answer:
Hey Army! The correct answer would be A. 37.1cm
Step-by-step explanation:
I got this correct on my test :)
Please help answer this ;)!
Answers
Right here I put the steps for the answer!
i don’t understand this please help
Answers
So sorry if it’s wrong
What is the value of x?
Answers
Answer:
The answer is 30 degrees
Step-by-step explanation:
the total of all three angles in a triangle add up to 180.
50+100= 150
so,
180-150= 30
x= 30 degrees
hope this helps!!
Answer:
answer is B 30
Step-by-step explanation:
180 is the total degrees of the whole thing subtract both angels they already give you (100+50) that leaves you with 30
Helpp? Please! What’s the area of this triangle?
Answers
ES LA B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
3x + x- 2x + 8 = 3x + x
Answers
Answer:
x=4
Explanation:
3x+x−2x+8=3x+x
Step 1: Simplify both sides of the equation.
3x+x−2x+8=3x+x
3x+x+−2x+8=3x+x
(3x+x+−2x)+(8)=(3x+x)(Combine Like Terms)
2x+8=4x
2x+8=4x
Step 2: Subtract 4x from both sides.
2x+8−4x=4x−4x
−2x+8=0
Step 3: Subtract 8 from both sides.
−2x+8−8=0−8
−2x=−8
Step 4: Divide both sides by -2.
−2x−2=−8−2
x=4
Rachel baked 3 cakes in 2 hours, 4 cakes in 3 hours, and 5 cakes in 4 hours. Determine whether the number of cakes baked is proportional to the number of hours.
Answers
Answer:
Its not proportional and not combarable
Len wants to write the number 100,000 using a base of 10 and a exponent. What number should he use as the exponent.
Answers
Answer:
5
Step-by-step explanation:
5 would be your exponent because you count the number of zeros in the number and that is how many times you time 10 by 10
In the game of roulette, a player can place a $ bet on the number and have a probability of winning. If the metal ball lands on , the player gets to keep the $ paid to play the game and the player is awarded an additional $. Otherwise, the player is awarded nothing and the casino takes the player's $. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose?
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The expected amount to be lost is 0.5263 cents per game
b
The expected amount to be lost is
[tex]P = \$ 526 .3 [/tex]
Step-by-step explanation:
From the question we are told that
The probability of winning is [tex]p = \frac{1}{38} = 0.0263[/tex]
Generally the probability of losing is mathematically evaluated as
[tex]q = 1-p [/tex]
=> [tex]q = 1-0.0263 [/tex]
=> [tex]q = 0.9737[/tex]
Generally the expected value is mathematically represented as
[tex]E(X) = \sum x_i * P(x_i)[/tex]
Here [tex]x_i[/tex] is a discrete variable (i.e it is a countable ) are outcomes of the player winning and the player losing
So
[tex]E(X) = x_1 * P(x_1) + x_2 * P(x_2) [/tex]
Now the outcome of winning is making $350 so
[tex]x_1 = \$ 350[/tex]
the outcome of losing is losing $10 so
[tex]x_2 = - \$10[/tex]
So
[tex]E(X) = 350* 0.0263 -10 * 0.9737 [/tex]
[tex]E(X) = -0.5263 [/tex]
hence the expected amount to be lost is 0.5263 cents per game
If you played the game 1000 times, the amount that is expected to be lost is
[tex]P = 1000 * -0.5263[/tex]
=> [tex]P = -\$ 526 .3 [/tex]
Hence the expected amount to be lost is
[tex]P = \$ 526 .3 [/tex]
The sum of the cube of a number and two times the number
Answers
Answer:
x^3+x×2
I got this : ) I hope it helped
The expression x³ + 2x represents the sum of the cube of a number and two times the number "x."
"the sum of the cube of a number and two times the number."
Let "x" represent the unknown number.
Express the given in algebra form as x³ + 2x.
To calculate the value of this expression for a specific value of "x," substitute the value of "x" into the expression.
Cube the number by raising it to the power of 3 (x³).
Multiply the number by 2 (2x).
Add the results
expression x³ + 2x represents the sum.
learn more about algebra here
brainly.com/question/29131718
#SPJ2
What is the area, in square inches, of the trapezoid with th
dimensions:
b1= 3 in, b2= 7 in, h= 8 in
Answers
Answer:
To find the area of a trapezoid, take the sum of its bases, multiply the sum by ... or area_trapezoid2.gif. Where b1.gif is base1.gif , b2.gif is base2.gif , h.gif ... of a trapezoid with bases of 9 centimeters and 7 centimeters, and a height of 3 ... The area of a trapezoid is
Step-by-step explanation:
7X minus one equals 6X -1 fin th value of x
Answers
Which of the following are ordered pairs for the equation y = 1/3x - 1?
(0,3) (0,-1) (6,1)
(3,0) (0,-1) (6,1)
(0,-1) (1,-4) (2,-7)
(0,-1) (-3,0) (-4,3)
Answers
Answer:
answer is the 2nd one
Step-by-step explanation:
y = 1/3(3) - 1 = 1 - 1 = 0 (3,0)
y = 1/3(0) - 1 = 0 - 1 = -1 (0, -1)
y= 1/3(6) - 1 = 2 - 1 = 1 (6, 1)
if I have 3 B0oty's and I eat 1 how many B0oty's do I have left
Answers
Answer:
you have 2 b00tys lol
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Hope this helps:)
Not an appropriate question to ask
The middle 5 in 0.555is 10 times the value of the 5 to its
Answers
Numbers increase in value as you go right to left
Fill in the next entry in the pattern
81, 27, 9, 3,
Answers
What value of n makes the equation below have no solution?
2x + 2 = nx - 3
A. 2
B. 3
C. 0
D.-2
Answers
Answer:
A
Step-by-step explanation:
This would be directly conflicting and would result in no answer as you would be saying that x could equal a number that would turn out the same if 2 were added to it and 3 were subtracted from it.
Answer:
A
Step-by-step explanation: Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).
What set of fractions is ordered from greatest to least? 2/3, 3/8, 5/12
Answers
Answer:
2/3, 5/12, 3/8
Step-by-step explanation:
Write a possible equation for a polynomial whose graph has horizontal intercepts at x = 2,-1,-3.
help
Answers
Answer:
y = (x - 2)(x + 1)(x + 3)
Step-by-step explanation:
horizontal intercepts at x = 2, -1, -3
-> y = 0 when x = 2, x = -1, and x = -3
Think x minus what equals y?
1. y is 0 and x is 2 -> 0 = (2 - 2) -> y = (x - 2)
2. y is 0 and x is -1 -> 0 = (-1 - (-1)) -> y = (x + 1)
3. y is 0 and x is -3 -> 0 = (-3 - (-3)) -> y = (x - 3)
so the equation is y = (x - 2)(x + 1)(x + 3)
since y = 0 when x = 2, x = -1, and x = -3
We want to find a polynomial given that we know its roots.
We will get:
p(x) = x^3 + 2*x^2 - 5*x - 6
-------------------------------------
A polynomial with the roots {x₁, x₂, ..., xₙ} and a leading coefficient A, we can write it as:
p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
Here we know that the roots (horizontal intercepts) are {2, -1 , -3} but we do not know the leading coefficient, so we will use A = 1.
Then the polynomial is:
p(x) = (x - 2)*(x + 1)*(x + 3)
Expanding that we get:
p(x) = (x^2 - x - 2)*(x + 3)
p(x) = x^3 + 2*x^2 - 5*x - 6
This is a possible equation for the polynomial with the given horizontal intercepts.
If you want to learn more, you can read:
https://brainly.com/question/11536910
Divide.
4 1/5 divided by 2/3
Express your answer as a mixed number in simplest form.
Enter your answer in the box.
Answers
Answer:
63/10 or 6 3/10
Step-by-step explanation:
What is an equation of the line that passes through the point (-1, -3) and is perpendicular to the line x 2y = 14?
Answers
Hi sorry help this helped
Need Help with this Appreciate!
Answers
Answer:
Whatever problem choice is equivalent to 2
Step-by-step explanation:
Which two operations are needed to write the expression that represents "eight more than the product of a number and
two"?
A. multiplication and subtraction
B. division and subtraction
C. multiplication and addition
D. division and addition
PLEASE HELP
Answers
Which equation is true when the value of x is -6
Answers
Answer:
x(4 + 4) + 16 = -32
Step-by-step explanation:
-6 times 4 is -24 so then you add -24 + -24 and get -48. Then if you add a positive 16 to the -48 you get -32.
What’s 11/3 divided in 2/3
Answers
Answer:
5 1/2
Step-by-step explanation:
11/3 divided by 2/3= 5 1/2
PLEASE ANSWER FAST
the perimeter of a triangle is equilateral. What is the length of 1 side of the triangle? write as an expression