MATHEMATICS HIGH SCHOOL

What value of k makes the trinomial x^2- 10x + k a perfect square?

Answers

Answer 1
Answer:

Answer: 25

Step-by-step explanation:     (x-a)² = x² - 2ax + a²

  From x² - 10x + k  we deduce that 10x = 2·5x  and a = 5

Then k = 5²2

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Write the explicit formula for the sequence. -1, 4, -16, 64,...
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What is 75 1/3% as a fraction in simplest form

Answers

Step 1

Convert a mixed number in a proper fraction

we know that

75(1)/(3)\%=((75*3+1))/(3) =(226)/(3)\%

therefore

the answer is

(226)/(3)\%
75*3=225+1=226=226/3

Lynn is trying to fine the best deal on bananas. Two grocery stores each have the fruit on sale. Store A has bananas 2 pounds for $0.88. Store B has bananas 5 pounds for $2.50. What is the cost per pound of bananas at each store? Which store has the better deal

Answers

B has bananas 5 pounds for $2.50. What is the cost per

The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which function represents the situation?A.f(x) = (x + 1)2 + 2
B.f(x) = (x – 1)2 + 2
C.f(x) = 2(x + 1)2 + 2
D.f(x) = 2(x – 1)2 + 2

Answers

Minimum wykresu funkcji kwadratowej znajduje się w ( -1, 2). Punkt ( 2 , 20) jest również od paraboli. Która funkcja reprezentuje sytuację?
Canonical form of the function
f(x) = a* (x - p)² + q

A .f(x) = (x + 1)² + 2    ⇔ p= -1 , q = 2
B. f(x) = (x – 1)² + 2    we reject
C. f(x) = 2(x + 1)² + 2  ⇔ p = -1 , q = 2
D .f(x) = 2(x – 1)² + 2   we reject

The point (2,20)  substitute
A f(x) = (x +1)² + 2
   20 = (2 + 1 )² + 2
   20 ≠ 9 +2
   20 ≠ 11   we reject

D f(x) = 2* (x + 1)² + 2
    20 = 2* (2+1)² + 2
    20 = 2 * 3² + 2
    20 = 2 * 9 + 2
    20 = 18 + 2

Reply C

3(2x–7)=5–(1–x) plzz help ASAP

Answers

3(2x–7)=5–(1–x)

6x-21 = 5 - 1 + x

subtract x from both sides

5x - 21 = 5-1

combine like terms

5x - 21 = 4

add 21 to both sides

5x = 25

divide both sides by 5

x = 5

The sum of two numbers is 47, and their difference is 15. What is the larger number?

Answers

Let the two numbers be x and y.

x + y =  47
+
x - y =  15
__________
2x  + 0y = 62                        Adding both equations.
___________


2x = 62
x = 62/2
x = 31.             

x is definitely the larger of the two numbers because x - y = 15

The larger number is 31.
I think the answer is 32 because 47-15=32

A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square? A square with a side length of 4 units is shown. A diagonal is drawn with one section shaded inside the figure. (5 points) fraction 1 over 2 ⋅ 4 ⋅ 4 fraction 1 over 4 ⋅ 4 ⋅ 4 fraction 1 over 2 ⋅ 2 ⋅ 2 fraction 1 over 4 ⋅ 2 ⋅ 230 points :)

Answers

Answer:

again, barely readable.and you didn't provide the picture for this problem.

but if the are of the triangle if just half of the square, it's one of the options that got 1/2 in it as a fraction.

but if it's 1/2 * 2 * 2

or 1/2 * 4 * 4

really depends on the square. either the area of the square is 2*2 or 4*4, and the triangle is just half of it. at least that's most likely.

can't really tell what's going on here without the missing picture

Answer:

A.  fraction 1 over 2 ⋅ 4 ⋅ 4 or 1/2 ⋅ 4 ⋅ 4

Step-by-step explanation:

Hope I helped!!
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