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Andreyy89
3 years ago
13

write the vertex form quadratic equation which has a vertex at (2,-1) and psses theough the point (4,3)

Mathematics
1 answer:
andrey2020 [161]3 years ago
8 0

Answer:

Step-by-step explanation:

You might be interested in
Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.
algol [13]

Answer:

f\left( {2.1} \right) \approx 5.22360.

Step-by-step explanation:

The linear approximation is given by the equation

                            {f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}

Linear approximation is a good way to approximate values of f(x) as long as you stay close to the point x= a, but the farther you get from x=a, the worse your approximation.

We know that,

a=2\\f(2) = 5\\f'(x) = \sqrt{3x-1}

Next, we need to plug in the known values and calculate the value of f(2.1):

{L\left( x \right) = f\left( 2 \right) + f^\prime\left( 2 \right)\left( {x - 2} \right) }=5+\sqrt{3(2)-1}(x-2) =5+\sqrt{5}(x-2)

Then

f\left( {2.1} \right) \approx 5+\sqrt{5}(2.1-2)\approx5.22360.

6 0
3 years ago
Factorise completely<br> 12x4yz2−8x3y3z2
Lina20 [59]
Final result :

4x3yz2 • (3x - 2y2)
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "z2" was replaced by "z^2". 4 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((12•(x4))•y)•(z2))-((23x3•y3)•z2)
Step 2 :

Equation at the end of step 2 :

(((22•3x4) • y) • z2) - 23x3y3z2
8 0
3 years ago
5,-15,35,55....<br> What is the common difference
harkovskaia [24]

Answer:

The common difference is -20

Step-by-step explanation:

Simply subtract 5 from -15

-15-5 = -20

3 0
3 years ago
Read 2 more answers
Brenda bought a new computer $380 .she made a payment $140 and got a discount of $30 .Her mother paid 1/2 of the balance . How m
Lelechka [254]

Answer:

She needs to pay $20 more.

Step-by-step explanation:

Mothers payment: $360 divided by 2 = $190 left for Brenda

Brenda + discount payments: $190 - $140 = $50

$50 - $30 discount = $20

8 0
3 years ago
Read 2 more answers
4<br> Solve the system of equations using the substitution method.<br> y = 2<br> 2x+y=8
Sindrei [870]

Answer:  2

Step-by-step explanation:

5 0
3 years ago
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