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Paraphin [41]
3 years ago
9

A quadratic equation ax^2+bx+c=0 has -11 and 4 as solutions. Find the values of b and c if the value of a is 1 (hint, use zero f

actor property in reverse)
The quadratic equation has a=1, b= ____, and c = ____
Mathematics
1 answer:
Alina [70]3 years ago
3 0

Answer:

b = 7, c = -44

Step-by-step explanation:

If the quadratic equation has the solutions -11 and 4, the two factors are:

(x+11)(x-4)=0

Since when we use the zero factor property we get

x+11=0 ⇒ x= -11

x-4=0 ⇒  x=4

Thus, we have used the zero factor property in reverse to find the factorization of the quadratic equation.

Now we develop the multiplications between parenthesis:

(x+11)(x-4)=0\\x^2-4x+11x-44=0\\x^2+7x-44=0

So b is the number that accompanies the x: b = 7

and c is the independent number: c = -44

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A cable company charges $70 per month for cable service. Please help ASAP Check screenshot pleasee (20 points) Thank youu! :)) &
LiRa [457]

Answer:

for #1: 70x = y

for #2: 70x + 100 = y

Step-by-step explanation:

you pay $70 for x amount of time with will equal your total therefore it's 70x = y

if you have to pay a one-time fee of $100.00 then you have to add that to your equation giving you 70x + 100 = y

hope this is right

hope it helps too :)

8 0
2 years ago
Which term can be added to the list so that greatest common factor of the three terms is 12h^3? 36h^3 12h^6. 6h^3. 12h^2. 30h^4.
Juliette [100K]

Answer:

Last Option 48h^{5}.

Step-by-step explanation:

In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.

Common factors of 36h³ = 1×2×2×3×3×h×h×h

Common factors of 12h^{6} = 1×2×2×3×h×h×h×h×h×h

In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³

Therefore the third term will be the number which has the greatest common factor = 12h³

So the given terms are

6h³ = 1×2×3×h×h×h

12h² = 1×2×2×3×h×h

30h^{4} = 1×2×3×5×h×h×h×h

48h^{5} = 1×2×2×2×2×3×h×h×h×h×h

Therefore the greatest common factor of the term which matches with 12h³ is 48h^{5}

3 0
2 years ago
What is the vertex and axis of symmetry for y=4x^2-12x+9?
VLD [36.1K]

Answer:

axis of symmetry   x=3/2

vertex  (3/2, 0)

Step-by-step explanation:

to find the axis of symmetry we use h = -b/2a

where ax^2 + bx+c


h = -(-12)/2(4)

h= 12/8

h = 3/2

the axis of symmetry is x = 3/2

the x coordinate of the vertex is h x=3/2

to find k, the y coordinate of the vertex, substitute x=3/2 into the equation

y=4x^2-12x+9

y=4(3/2) ^2-12(3/2)+9

 = 4 (9/4)  - 6*3 +9

  = 9-18+9

  = 0


the vertex (3/2, 0)

4 0
3 years ago
State whether each of the following equations represent growth or decay.
algol [13]

Answer:

ehhh Pfouto math ni

dali raka AA yooo

4 0
2 years ago
The diameter of a circle is 17 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
aev [14]

Answer:

52.4 cm

Step-by-step explanation:

Circumference of a circle = 2πr

Radius, r = diameter / 2

= 17 cm / 2

= 8.5 cm

π = 3.14

Circumference of a circle = 2πr

= 2 × 3.14 × 8.5

= 53.38 cm

Approximately 52.4 cm

5 0
2 years ago
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