How do i graph the parabolas y = 1/32x^2

Answers

Answer 1

Answer: $y=(1)/(32)x^2 \n \nx=-16 \Rightarrow y=(1)/(32) *(-16)^2=(1)/(\not32^1)*\not256^8=8\n \nx=-8 \Rightarrow y=(1)/(32) *(-8)^2=(1)/(\not32^1)*\not64^2=2\n \nx=0 \Rightarrow y=(1)/(32) *(0)^2=(1)/(\not32^1)*0=0 \n \nx=8 \Rightarrow y=(1)/(32) *(8)^2=(1)/(\not32^1)*\not64^2=2 \n \nx= 16 \Rightarrow y=(1)/(32) *( 16)^2=(1)/(\not32^1)*\not256^8=8$

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Jaida has $200 to spend on flowers for a school celebration. She decides that the only flowers that she wants to buy are roses and carnations. Roses cost $1.45 each and carnations cost $0.65 each. Jaida buys enough roses so that each of the 75 people attending the event can take home at least one rose. Write an inequality to represent the cost constraint.

Answers

Answer:

$1.45x+0.65y\leq 200$

Here, $x$ denotes the number of roses used for a school celebration and $y$ denotes the number of carnations used for a school celebration.

Step-by-step explanation:

Let $x$ denotes the number of roses used for a school celebration and $y$ denotes the number of carnations used for a school celebration.

Cost of 1 rose = $1.45

Cost of $x$ roses = $\$1.45x$

Cost of 1 carnation = $0.65

Cost of $y$ roses = $\$0.65y$

Total cost spend on flowers = $1.45x+0.65y$

Total amount with Jaida = $200

So,

the inequality to represent the cost constraint is $1.45x+0.65y\leq 200$

Find the slope of the line between the points (-2, 7) and (10, 3)

Answers

Answer:

m = -1/3

Step-by-step explanation:

Translate the verbal phrase into an inequality. All real numbers that are greater than or equal to -1.5 and less than 9.2

Answers

Answer: -1.5 ≤ x < 9.2

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

"All real numbers": we will use the variable x to represent all the real numbers.

"All real numbers that are greater than or equal to -1.5". This means that x is greater or equal (≤) to the number 1.5.

"And less than 9.2": less is represented with the symbol <

Mathematically speaking:

-1.5 ≤ x < 9.2

Feel free to ask for more if needed or if you did not understand something.

4 is because it is greater and less than

Factor the expression 5x^3 - x^2 + 5x - 1

Answers

Hello,

5x^3-x^3+5x-1=x²(5x-1)+(5x-1)=(5x-1)(x²+1)=(5x-1)(x-i)(x+i)

$5 x^(3) - x^(2) + 5x - 1$

Group like terms
$( 5x^(2) - x^(2) ) + (5x - 1)$

Find the common factor of each term and simplify
$x^(2) (5x - 1) + 1 (5x - 1)$
$( x^(2) + 1) (5x - 1)$

Additional :-
Find the roots of each of the terms:
(i) $( x^(2) + 1)$
- using the quadratic equation ( $x = \frac{-b (+ or -) \sqrt{ b^(2) - 4ac } }{2a}$ )
- $\frac{-0 + \sqrt{0^(2 - 4(1)(1)) } }{2}$ OR $\frac{-0 - \sqrt{0^(2 - 4(1)(1)) } }{2}$
- Since the discriminant is negative ( $√(-4)$ ) [a negative number cannot be rooted] then this equation has no real roots (imaginary roots)

(ii) $5x - 1$
- Simply Solve for x
5x - 1 = 0
5x = 1
x = $(1)/(5)$

Thus the only solution this has or the only root this expression has is $(1)/(5)$ OR 0.2

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Answers

the answer is D. area

Answer:

D area

Step-by-step explanation:

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Answers

neither because neither the cube root or square root of 240 is just one number

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