MATHEMATICS HIGH SCHOOL

10. $20 item marked down 40%​

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Related Questions

You average 55 miles per hour while driving to a relative's house. On the return trip, you average 50 miles per hour because of bad weather. The total driving time is 5 hours and 15 minutes. How long does each trip take?
If (m, −3) is on a circle with center (−4, −3) and radius 8, what is a value of m?m equals negative four plus or minus square root of 55 end square root m = 3 m = 12 m = −12
The square of a number plus the number is 42 . Find the number (s).
Express the number in polar form 4 - 4i
The length of a rectangle is twice the width. The perimeter of the rectangle is 24 feet. What is the length of the rectangle? Let x = the width of the rectangle. Which let statement would you use for the length?

The mean distance from the surface of the earthto the surface of the moon is 376 000 km. What
is the distance in Scienu fic Notalion?

Answers

Answer: 4.76e5

Step-by-step explanation:

The graphs of f(x) and g(x) are shown below:graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 5, 0

If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?

g(x) = (x + 5^)2

g(x) = (x − 5)^2

g(x) = (x − 9)^2

g(x) = (x + 9)^2

Answers

Answer:

The equation for g(x) is:

g(x)=(x+5)^2

Step-by-step explanation:

We are given the information about the graph of the function f(x) and g(x) as:

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-5,0).

If f(x) = (x + 7)^2; which is a parabola with vertex at (-7,0).

Also as g(x) is formed by the translation of the function f(x) so it will also be a quadratic function such that it's vertex is (-5,0).

so, the equation of g(x) will be:

g(x)=(x+5)^2.

Hence, the translation is a shift of the function f(x) 2 units to the right.
The right answer for the question that is being asked and shown above is that: "g(x) = (x − 5)^2" If f(x) = (x + 7)^2, the expression that is g(x) based on the translation is that g(x) = (x − 5)^2

the spoke of a wheel reaches from the center of the wheel to its rim. If the circumstances of the rim of the wheel is 42 inches, how long is each spoke?

Answers

The spoke of the wheel serves as the radius of the circle. 
To solve for the circumference of the circle, we use this formula:

C = 2πr
42 inches = 2 * 3.14 * r
42 inches = 6.28 * r
42 inches / 6.28 = r 
6.69 inches = r

The length of each spoke is 6.69 inches.

The vertex form of the equation of a parabola is x = (y - 4)2 + 27. What is the standard form of the equation?

A. x = y2 + 8y + 27
B. x = 4y2 - 8y + 43
C. x = y2 - 8y + 43
D. x = y2 + y + 15

Answers

Answer:

Option C. x = y² - 8y + 43

Step-by-step explanation:

The vertex form of the equation of a parabola is x = (y - 4)² + 27

We have to find the standard form of the equation which is in the form of x = ay² + by + c

To get the standard form of the equation we will simplify the vertex form of the equation.

x = (y - 4)² + 27

x = y² + 16 - 8y + 27

x = y² - 8y + 43

This matches with option C. x = y² - 8y + 43
Since the vertex formula of an equation is x =a(x-h)^2 + k and the standard form of an equation is y = ax^2 + bx + c, the answer to the math question presented above would be letter c. x = y^2 -8y + 43. I arrived to this answer by solving (y-4)^2 and adding the equation to 27.

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.8/9
1.8
2

Answers

2

Working
The nth term of an arithmetic series is calculated using the formula
nth term= a+ (n-1) d
a= -5, n =10 and nth term in this case is 13
Thus
13= -5 +(10-1)d
13= -5+9d
9d= 18
d = 2

Answer:

2

Step-by-step explanation:

Working

The nth term of an arithmetic series is calculated using the formula

nth term= a+ (n-1) d

a= -5, n =10 and nth term in this case is 13

Thus

13= -5 +(10-1)d

13= -5+9d

9d= 18

d = 2

a woman is expecting triplets. what is the probability that there are 2 girls and 1 boy? what is the probability that all 3 babies are girls

Answers

let the boy be B and the girl be G
there are six possible outcomes 
BGG, GBB, GBG, BGB, BBB, and GGG
therefore the probability of getting one boy and two girls is (1)/(6)
also the probability of getting 3 girls is (1)/(6)
There are 2 possibilities for EACH child so there are 8 possible outcomes all together and they are:
B B B
G B B
B G B
B B G
G G G
B G G
G B G
G G B
Two girls and 1 boy odds probability = 3/8 (Those are the last 3 listed).
All 3 girls probability = 1/8
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