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GalinKa [24]
3 years ago
8

Write the quadratic function in vertex form. y = x^2 - 6x + 7

Mathematics
2 answers:
Olenka [21]3 years ago
6 0
To solve this equation, we can use completing of the squares. Hence, from the equation y = x^2 - 6x + 7 , b is equal to -6. The form should become y = (x-(b/2)^2) + c. (<span>b/2)^2 is equal to 9. Hence,
</span>
y = (x - 3)^2 -9 + 7 
<span>y = (x - 3)^2 -2
</span>y- 2 = <span>(x - 3)^2

hence the vertex is at (3,2)</span>
Sliva [168]3 years ago
4 0
The vertex form: y = a(x - h)² + k

y = x² - 6x + 7 = x² - 2x · 3 + 3² - 3² + 7 = (x - 3)² - 9 + 7 = (x - 3)² - 2


Answer: y = (x - 3)² - 2

Used: (a - b)² = a² - 2ab + b²
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Joe wants to rent an apartment with an initial monthly rent of $1,400. He has been told that the landlord raises the rent 1.25%
nadya68 [22]

Answer: his pay for the 4th year is $1453.16

Step-by-step explanation:

The landlord raises the rent 1.25% each year. It means that the rent is increasing in geometric progression.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = $1,400

r = 1 + 1.25/100 = 1.0125

n = 4 years

The 4th term(year), T4 is

T4 = 1400 × 1.0125^(4 - 1)

T4 = 1400 × 1.0125^3

T4 = $1453.16

8 0
3 years ago
Question 1. write the product using exponents
tensa zangetsu [6.8K]

Answer:

(- 0.9)³

Step-by-step explanation:

(- 0.9) × (- 0.9) × (- 0.9)

= (- 0.9)³

3 0
2 years ago
Find the surface area of the prism.
Westkost [7]
2(4*3) + 5.7*3 + 2(5.7*4)= 86.7 mm^2 (i could be wrong)
4 0
3 years ago
Read 2 more answers
What is the answer to 4/5 x 3/4
Furkat [3]

3/4  x 4/5

= 3 · 4/4 · 5

= 12/20

= 3 · 4/5 · 4

= 3/5

4 0
3 years ago
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Hugh uses 0.63 of a piece of canvas to paint a picture.Draw a model to represent this decimal.How much of the canvas is left?
prohojiy [21]
.63 is a decimal. It represents part of something whole. I am not sure what you mean by model, but if .63 of the canvas is used, then 1-.63 is not used. 1 represents the full canvas. 

1 - .63, or 1 minus .63 is equal to .37. 
.37 of the canvas is left.
3 0
3 years ago
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