Which of the following equations is of a parabola with a vertex at (0, 3)?

Answers

Answer 1

Answer: Parabola has a vertex at: ( 0, 3 )
h = 0, k = 3;
y = a ( x - h )² + k
a = 1
y = ( x - 0 )² + 3
y = x² + 3
Answer:
The parabola with a vertex at ( 0, 3 ) is : y = x² + 3

Answer 2

Answer:

The equation that is of a parabola with a vertex at (0, -3), is $y=x^2+3$ .

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Answers

Answer:

Step-by-step explanation:

I used the quadratic formula to find the roots of $x^(2) + x -1$

$a=(-1-√(5))/(2) b=(-1+√(5) )/(2)$

$(1 )/(√(3) ) *((-1-√(5))/(2) )^(2) * (-1+√(5))/(2)$

$(1 )/(√(3) ) *((-1-√(5))/(2) ) * (-1+√(5))/(2)*((-1-√(5))/(2) )$

$(1 )/(√(3) ) *((-1-√(5))/(2) ) * (-1+√(5)-√(5) -4)/(4)$

$(1 )/(√(3) ) *((-1-√(5))/(2) ) * ( -4)/(4)$

$(1 )/(√(3) ) *((-1-√(5))/(2) ) * -1$

$(-1-1√(5) )/(2√(3) )*-1$

$(-1-1√(5) )/(2√(3) ) = (√(5)+1 )/(2√(3) )$

A ratio of the number of items within a defined unit of area measures

Answers

Answer:

Density

Step-by-step explanation:

Density is the number of items per unit area. It is gotten by dividing the number of items by the area it occupies. It measures the compactness of an item in a given area. The higher the density, the more compact items are per unit area and the lesser the density, the less compact items are per unit area. It is measured in items/m²

What is the discriminant of the quadratic equation 2x + 5x2 = 1?–18
–16
22
24

Answers

Applying it's formula, the discriminant of the quadratic equation 2x + 5x² is given of 24.

What is the discriminant of a quadratic equation?

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The discriminant is:

$\Delta = b^2 - 4ac$

In this problem, the equation is:

2x + 5x² = 1.

In standard form:

5x² + 2x - 1 = 0.

Hence the coefficients are a = 5, b = 2, c = -1, and the discriminant is given by:

$\Delta = b^2 - 4ac = (2)^2 - 4(5)(1) = 4 + 20 = 24$ .

More can be learned about discriminant at brainly.com/question/19776811

#SPJ2

Hello,

Answer D

Δ=2²-4*5*(-1)=4+20=24

solve for m (r=3m+3z) solution is m=___, use integers or fractions for any numbers in the expression (simplify answer) please help

Answers

$r=3m+3z\n\n3m=3z-r\ \ \ \ /:3\n\nm=z-(r)/(3)$

a teacher needs 70 lengths of string cut to 40 cm each. If balls of string are 10 m long how many balls will be needed

Answers

The balls need for the given question is 28.

Given-

Total required string is 70.

The length of the required string is 40 cm.

The length of the ball of string is 10 m.

Convert the length of ball in centimetre from meter. We know that one meter has hundredcentimetres. Thus ten meters is,

$=10* 100$

$=1000$

Hence the length of the ball of string is 1000 cm.

Now the string is cut thus we need two lengths of string. Therefore,

$=40* 2$

$=80$

Two length of string is 80 cm.

Now this is the half times the lengths of the seventy. Thus,

$=(70)/(2) *{80}$

$=2800$

For this 2800 cm string we need 1000 cm string balls $n$ are,

$n=(2800)/(1000)$

$n=28$

Hence, the balls need for the given question is 28.

For more about the units follow the link below-

brainly.com/question/15602440

A meter is 100 cm. A ball of string has 10m of string, and you multiply 10m by 100cm, you get 1,000cm. Then you multiply 40cm by 2, and you get 80cm, or two lengths of string. Then you multiply 35, which is half of 70, by 80, and that is 2,800 cm.
2,800÷40cm=70
And 100cm=1m.
The teacher will therefore need 28 balls of string.

There are 45 red tiles,25 blue tiles and 30 green tiles in a bag.Suppose you plan to conduct this experiment 60 times.
Draw a tile from the bag without looking.
Record the color of the tile
Replace the tile
How many tiles of each color do you expect to get?

Answers

This is a question of probability.
Probability of picking any color= number of tiles with that color/total number of tiles
Total=45+25+30=100
P(red tile)=(45/100)x60=0.45x60=27
P(blue tile)=(25/100)x60=0.25x60=15
P(green tiles)=(30/100)x60=0.3x60=18

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