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Temka [501]
3 years ago
9

Find the equation of the parabola that has zeros of x = –1 and x = 3 and a y-intercept of (0,–9). Question 1 options: A) y = 3x2

– 6x – 9 B) y = x2 – 2x + 9 C) y = 3x2 – 6x + 9 D) y = x2 – 2x – 9
Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Given the zeros are x = - 1 and x = 3 then the factors are

(x + 1) and (x - 3) and the parabola is the product of the factors, that is

y = a(x + 1)(x - 3) ← where a is a multiplier

To find a substitute (0, - 9) into the equation

- 9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

3 = a, thus

y = 3(x + 1)(x - 3) ← expand the factors using FOIL

  = 3(x² - 2x - 3) ← distribute by 3

  = 3x² - 6x - 9 → A

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How is solving an inequality like solving an equation? How is it different?
Charra [1.4K]

Answer:

The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses.

5 0
3 years ago
Solve for x: x - 15 = -30
Mrac [35]

Answer:

x = -15

Step-by-step explanation:

x - 15 = -30

add 15 to both sides

x = -15

4 0
3 years ago
Read 2 more answers
PLS HELP ASAP!!!!!!!!!
jeka94

Answer: A, C and E

Step-by-step explanation:

because there are 2 shapes in which have the same formula height times base so 6 is the base and n and m is both of the heights but they are the same height so you need to add them for the total height then mutiply the total height by 6 which means you can ALSO do 6n and 6m because if n=5 and m=2 6x5=30+6x2=12=42 and 6x(5+2)=42 and you can switch the equations around getting the same answer AND B is wrong because 6x5=30+2=32 NOT 42 and D is wrong because 6x5x2=60 not 42 SO it has to be A, C and E

plz mark be brainliest

6 0
3 years ago
Olga is putting a border around her triangular flower bed. She has 20 feet of border material, which will fit perfectly around t
spayn [35]

Answer:

60 feet

Step-by-step explanation:

We know that a triangle has 3 sides, in this case we will call them a, b and c.

It tells us that everything is material, it measures 20, that is:

a + b + c = 20

They tell us that she wants to triple each side and to know how much material she would need in total. Then it would be:

border material need = 3 * a + 3 * b + 3 * c

common factor 3:

border material need = 3 * (a + b + c)

border material need = 3 * 20

border material need = 60

Which means that she needs a total of 60 feet of material.

3 0
3 years ago
Read 2 more answers
HELP GEOMETRY!!!!!! The newest feature at the Great Park is the big orange balloon. The volume of this perfectly spherical ballo
WITCHER [35]

Answer: 8.3 ft

Step-by-step explanation:

Here, The volume of this perfectly spherical balloon is approximately 2361.7 cubic feet.

Since, the volume of a sphere, V= \frac{4}{3} \pi r^3

Where r is the radius of the sphere.

Here V= 2361.7 cubic feet

Therefore, 2361.7=\frac{4}{3} \pi r^3

⇒ r^3= \frac{21\times 2361.7}{88}

⇒r= 563.5875^{1/3}=8.2601344693≈8.3 feet

Thus, the radius of the sphere = 8.3 feet




7 0
3 years ago
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