kayla bought h number of hats for $13.25 each.if she has $50 dollars to spend ,how many hats could she have bought?

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Answer 1

Answer: 4 is the answer to your question

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6. Minimum value determined by the formula function f (x) = 2x ²-8x + p was 20. Value f (2) is.7. Shape factor of the quadratic equation 4x ²-13x = -3 is ...
8. Quadratic function whose graph passes through the point (-12.0) and has a turning point (-15.3) is ..
9. Roots of a quadratic equation: 4x ² + px +25 = 0 are x1 and x2, if the roots of the quadratic equation x1 ² + x2 ² = 12.5 then the value of p is ....
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$6)\ \ \ f(x)=2x^2-8x+p\nthe\ minimum\ value =20\ \ \ \Leftrightarrow\ \ \ y_(\ of\ vertex)=20\ \ \ \Leftrightarrow\ \ \ - (\Delta)/(2a) =20\n\n\Delta=(-8)^2-4\cdot2\cdot p=64-8p\ \ \Leftrightarrow\ \ - (64-8p)/(2\cdot2) =20\ \ \Leftrightarrow\ \ -16+2p=20\n\n2p=36\ \ \ \Leftrightarrow\ \ \ p=18\ \ \ \Rightarrow\ \ \ \ f(x)=2x^2-8x+18\n\nf(2)=2\cdot2^2-8\cdot2+18=2\cdot4-16+18=8+2=10$

$7)\ the\ shape\ factor\ of\ the\ quadratic\ equation\ 4x^2-13x = -3\n is\ a=4\ \ \ (\ a>0\ \ \ \rightarrow\ \ \ the\ shape\ is\ \cup\ )\n\n8)\ \ \ the\ turning\ point=(-15;3)\ \ \ \Rightarrow\ \ \ f(x)=a(x+15)^2+3\n\n the\ graph\ passes\ through\ the\ point\ (-12.0) \ \Rightarrow\ \ 0=a(-12+15)^2+3\n\n\Rightarrow\ \ \ a\cdot3^2=-3\ \ \ \Rightarrow\ \ \ a=- (3)/(9) =- (1)/(3) \ \ \ \Rightarrow\ \ \ f(x)=- (1)/(3)(x+15)^2+3$

$\Rightarrow\ \ \ f(x)=- (1)/(3)(x^2+30x+225)+3=- (1)/(3)x^2-10x-72\n\n9)\ \ \ 4x^2+px+25=0\n\n\Delta=p^2-4\cdot4\cdot25=p^2-400\n\ntwo\ solutions\ \ \Leftrightarrow\ \ \Delta>0\ \ \Leftrightarrow\ \ p^2-40>0\ \ \Leftrightarrow\ \ (p-20)(p+20)>0\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \Leftrightarrow\ \ \ p\in(-\infty;\ -20)\ \cap\ (20;\ +\infty)\n-------------------------------$

$the\ Vieta's\ formulas\ to\ the\ quadratic\ equation\ ax^2+bx+c=0\n\nx_1+x_2=- (b)/(a) \ \ \ and\ \ \ x_1\cdot x_2= (c)/(a) \n------------------------------\n\nx_1+x_2=- (p)/(4) \ \ \ and\ \ \ x_1\cdot x_2= (25)/(4) \n\nx_1^2+x_2^2=x_1^2+2\cdot x_1\cdot x_2 +x_2^2-2\cdot x_1\cdot x_2 =(x_1+x_2)^2-2\cdot x_1\cdot x_2 \n\nx_1^2+x_2^2=(x_1+x_2)^2-2\cdot x_1\cdot x_2 \ \ \ \Leftrightarrow\ \ \ 12.5=(- (p)/(4) )^2-2\cdot (25)/(4) \n\n$

$12.5= (p^2)/(16) +12.5 \ \ \ \Leftrightarrow\ \ \ (p^2)/(16)=0 \ \ \ \Leftrightarrow\ \ \ p^2=0 \ \ \ \Leftrightarrow\ \ \ p=0\n\n\n10)\ \ \ x^2-4x+3=0\ \ \ and\ \ \ x^2+4x-21=0\n\n x^2-4x+3=x^2+4x-21\ \ \Leftrightarrow\ \ -4x-4x=-21-3\n\n\ \ \Leftrightarrow\ \ -8x=-24\ \ \Leftrightarrow\ \ x=3$

Which of the sets shown includes the elements of set Z that are both odd numbers and multiples of 7?Z={-21, -14, -7.0, 7, 14, 21}
A {-21, 21)
B. {-21.-7. 7. 21)
C: {-14, 0.14)
D. {-21, -14, -7)

Answers

Answer:

B. {-21.-7. 7. 21)

Step-by-step explanation:

The set made up of odd numbers and multiples of 7 is given as;

{-21.-7. 7. 21)

Multiples of 7 are usually those numbers where 7 is factor.

Odd numbers are numbers that cannot be divide by 2.

So, the most fitting answer is B.

How big is 2000 sq.ft in yards?

Answers

200 square feet = 222.2222 square yards.

There are three feet in a yard and nine square feet in a square yard. Divide 2000 by 3 and then divide by 3 again to get 222.222 square yards.

Factor the following polynomial completely.

-x 2 y 2 + x 4 + 9y 2 - 9x 2

Answers

-(y-x)×(y+x)×(x-3)×(x+3)

The answer is C. (x + 3) (x - 3) (x + y) (x - y)

Just finished the test.

Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros? The equation has one zero because the discriminant is 1. The equation has one zero because the discriminant is a perfect square. The equation has two zeros because the discriminant is greater than 0. The equation has no zeros because the discriminant is not a perfect square.

Answers

The correct option is: The equation has two zeros because the discriminant is greater than 0.

Explanation:

First, remember the following conditions:
1. If the discriminant is less than zero, there will be no zeros.
2. If the discriminant is equal to zero, there will be one zero.
3. If the discriminant is greater than zero, there will be two zeros.

For the general equation of the form $ax^2 + bx + c = 0$ , the discriminant is $b^2 - 4ac$ .

Let's find the discriminant and then compare it with the conditions mentioned above.

Given Equation:
$3x^2 -7x + 4 =0$

a = 3, b = -7, c = 4

Now find the discriminant:

$b^2 - 4ac$
$(-7)^2 - 4(3)(4)$
Discriminant = 1

As the discriminant is greater than 0 (which in this case is 1), the equation has two zeros (as mentioned in the above conditions).

Answer:

C on Ed!

Step-by-step explanation:

100% on the quiz :)

Suppose the function shown below was expressed in standard form, y=ax^2+bx+c. What is the value of a? the graph shows a parabola facing downward with a vertex of (1,4) and the x intercepts are (3,0) and (-1,0) with a y intercept of (0,3)...?

Answers

y = -a(x - 1)^2 + 4 = -a(x^2 - 2x + 1) + 4 = -ax^2 + 2ax - a + 4 . . . (1)
y = -a(x - 3)(x + 1) = -a(x^2 - 2x - 3) = -ax^2 + 2ax + 3a . . . (2)

Equating (1) and (2), we have that
-a + 4 = 3a
3a + a = 4
4a = 4
a = 1

Required equation is
y = -x^2 + 2x + 3

Therefore, a = -1

This is the graph they are referring to

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