Which of the following is the solution to the compound inequality below
The answer is, x> -31/15
Original price is 45.00 and the markup is 57%
What is the total area of a covered box with a length of 4 ft, a width of 3 ft, and a height of 6 ft?
Consider the function y=x^2+5x-2 . What would happen to the graph if (x + 5) was substituted in place of the x?
A. The graph would shift 5 units to the right.
B. The graph would shift down 5 units.
C. The graph would shift up 5 units.
D. The graph would shift 5 units to the left.
Consider the function y=x^2+5x-2 . What would happen to the graph if (x + 5) was substituted in place of the x?
A. The graph would shift 5 units to the right.
B. The graph would shift down 5 units.
C. The graph would shift up 5 units.
D. The graph would shift 5 units to the left.
Option: D is the correct answer.
D. The graph would shift 5 units to the left.
Step-by-step explanation:We know that the transformation of a function f(x) to f(x+a) is a shift of the function either to the left or to the right by a units depending on the sign of a i.e. if a>0 then the shift is a units to the left
and if a<0 then the shift is a units to the right.
Here we have:
[tex]y=x^2+5x-2[/tex] is converted to:
[tex]y=(x+5)^2+5(x+5)-2[/tex]
Here we have a=5>0
Hence, the shift is 5 units to the left.
Determine the value c so that each of the following
functions can serve as a probability distribution of
the discrete random variable
X:(a)
f(x) =c(x2+ 4), for x= 0,1,2,3;
(b)f(x) =c(choose x from2)(choose 3 from 3-x) for x= 0,1,2.
The value of c, which must be determined for a discrete random variable to serve as a probability distribution, should be 1/30 for the function f(x) = c(x^2 + 4) and 1/3 for the function f(x) = c(choose 2 from x)*(choose 3 from 3-x).
Explanation:The value of c for a probability distribution needs to be determined such that the total sum of the probabilities is equal to 1. For this, we need to calculate the sum of all possible outcomes and then normalize it to 1.
For the function f(x) = c(x2 + 4), where x = 0, 1, 2, 3, the total sum of the outcomes without the multiplying factor, c, is (02+4) + (12+4) + (22+4) + (32+4) = 4 + 5 + 8 + 13 = 30. The factor c then must be 1/30 for the probabilities to sum up to 1.For the function f(x) = c(choose 2 from x)*(choose 3 from 3-x), where x = 0, 1, 2, the total sum of outcomes without c is (choose 2 from 0)*(choose 3 from 3) + (choose 2 from 1)*(choose 3 from 2) + (choose 2 from 2)*(choose 3 from 1) = 0 + 0 + 3 = 3. Therefore, the factor c for this function must be 1/3.Learn more about Probability Distribution here:https://brainly.com/question/14210034
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Convert the radical below into a fractional exponent The square root of 4^3
A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?
4x < h < 10x
10x < h < 4x
h = 4x
h = 10x
Answer with explanation:
In a triangle sum of two sides , should always be greater than the third side.
Sides of the given triangle are, 3 x cm, 7 x cm and h cm.
1.
3 x + 7 x > h
→ 10 x > h
2.
3 x+ h > 7 x
→h > 7 x -3 x
→h> 4 x
3.
7 x + h > 3 x, which will be always true.
Combining 1, 2 and 3 we get
→4 x < h < 10 x
Option A
Wet-cell batteries are typically used to supply eletrical energy to
A projectile is thrown upward so that its distance above the ground after t seconds is h(t)=-16t^2 + 570t. After how many seconds does it reach its maximum height?
Given: 2x + 3y = 6.
What is the y-intercept?
(0, 3)
(2, 0)
(0, 2)
no intercept
Answer:
(0 , 2) .
Step-by-step explanation:
Given : 2x + 3y = 6.
To find : What is the y-intercept.
Solution : We have given that 2x + 3y = 6.
y- intercept : Value of y on which x = 0.
Then x = 0
2 (0) + 3y = 6
0 + 3y = 6
On dividing by both side by 3
y = 2.
y - intercept is 2
Then (0 , 2)
Therefore, (0 , 2) .
Pam is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase car A is 0.46, and the probability that she will purchase car B is 0.34. What is the probability that she will not purchase either car A or car B?
0.12
0.40
0.20
0.80
The probability that Pam will not purchase either car A or car B is 0.20.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Probability that she will purchase car A = 0.46
Probability that she will purchase car B = 0.34
The probability that she will purchase either car A or car B is
⇒ [tex]0.46+0.34[/tex]
⇒ [tex]0.80[/tex]
Thus the probability that she will not purchase either car A or car B is
⇒ [tex]P(A)=1-0.80[/tex]
⇒ [tex]P(A)=0.20[/tex]
Hence we can conclude that the probability that Pam will not purchase either car A or car B is 0.20.
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highest common factor of 24 and 56
Optimization problem: what are the dimensions of the lightest open-top right circularcylindrical can that will hold a volume of 1000cm3?Compare the result with the result in example 2. ...?
The diagram contains contradictory information. Explain the contradiction.
Hannah has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $28.30
If x represents the number of quarters in the jar, what is an equation that can be used to find the number of quarters? &How many quarters and how many nickels are there? ...?
How many times does 50,000 go into 374,000,000,000?
increase 160km by 30%
what is 3 fourths equal to n tenths
(11a^3+6)-(-7a^3+7) Solve
What is 12 345 to the nearest thousand
express 12.28 as a mixed number
In a 5 point star, what is the sum of the measure of angles A, B, C, D, and E, if each point of the star represent each angle? ...?
which equation when graph has x intercepts at (2,0) and (4,0) and a y-intercept of (0,-16)?
A. F(x)= -(x-2)(x-4)
B. F(x)= -(x+2)(x+4)
C. F(x)=-2(x-2)(x-4)
D. F(x)= -2(x+2)(x+4)
Answer:
The answer is C. on Edgenuty.
10 POINTS!!!
Five added to 2 times a number is equal to 7 less than 4 times the number. What is the number?
A.
–3
B.
–6
C.
6
D.
3
The required number is 6.
What is subtraction?The process of subtracting one number from another is known as subtraction.
Let the number be x.
Given that, 5 added to 2 times the number, x, is equal to 7 less than 4 times the number, which is:
2x + 5 = 4x - 7
2x - 4x = -7 - 5
-2x = -12
x = 12/2
x = 6
Hence, the required number is 6.
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At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, $430 worth of strawberries and peaches were sold, and a total of 23 baskets were sold. If x represents baskets of strawberries and y represents baskets of peaches, how many baskets of peaches were sold on Saturday?
20x+18y=430
x+y=23
8 baskets
11 baskets
12 baskets
15 baskets
Final answer:
To find the number of baskets of peaches sold on Saturday, we can set up a system of equations and solve it using elimination or substitution. The answer is 15 baskets Option Dof peaches.
Explanation:
To solve this problem, we need to use a system of equations. Let's call the number of baskets of strawberries x and the number of baskets of peaches y. We can set up the following equations:
20x + 18y = 430 (equation 1)
x + y = 23 (equation 2)
We can solve this system of equations using substitution or elimination. Let's use elimination:
Multiply equation 2 by 18 to make the coefficients of y in both equations cancel:
18x + 18y = 414 (equation 3)
Subtract equation 3 from equation 1 to eliminate y:
(20x + 18y) - (18x + 18y) = 430 - 414
2x = 16
Divide both sides of the equation by 2:
x = 8
Substitute x = 8 into equation 2 to find y:
8 + y = 23
y = 23 - 8
y = 15
Therefore, 15 baskets of peaches were sold on Saturday.
An 8-pound bag of tomatoes costs $5.60. At the same rate, what would be the cost of 11 pounds of tomatoes?
A. $8.50
B. $7.00
C. $7.70
D. $6.50 ...?
last question for today i promise xD
If the parent function is 3√x , describe the translation of the function y =3√x-4 +3
A. Three units to the left and four units down from 3√x
B. Four units to the right and three units up from 3√x
C. Three units to the right and four units down from 3√x
D. Four units to the left and three units up from 3√x
The correct translation of the function is,
⇒ Four units to the right and three units up from 3√x
Option B is true.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The parent function is,
⇒ f (x) = 3√x
And, the translation of the function is,
y = 3√x- 4 + 3
Now, We get;
The parent function is,
⇒ f (x) = 3√x
After translated Four units to the right we get;
⇒ f (x) = 3√x - 4
And, After translated three units up from 3√x;
f (x) = 3√x- 4 + 3
Thus, The correct translation of the function is,
⇒ Four units to the right and three units up from 3√x
Option B is true.
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12 less than the quotient of a number and seven is negative two find the number
which is bigger 0.07 or 0.005?
Which ratio is proportional to 10/24
A 20/36
B 5/8
C 35/84
D 5/6