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3 years ago

How many zero pairs must be added to the function

Mathematics

2 answers:

PtichkaEL [24]3 years ago

4 0

The answer is to the question 3

konstantin123 [22]3 years ago

3 0

TO write the function into vertex form, we need to add one zero and the solution is shown below:
f(x)= x² -6x +1
Add one zero in the form of -9 and 9, such as:
f(x) = x² -6x +1 -9 +9
f(x) = (x² -6x +9) +(1-9)
f(x) = (x-3)² + (-8)
f(x) = (x-3)² - 8
This is the vertex form of the given function and only one zero is being added.

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The sum of 2 numbers is 38. one number is 10 more than the other.

son4ous [18]

Answer:

24, 14

Step-by-step explanation:

x + y = 38

x = 10 + y

You can substitute (10+y) into the top equation where the x is.

10 + y + y = 38

10 + 2y = 38

2y = 28

y = 14

Now plug 14 in for y in either equation to get x

x = 10 + 14

x = 24

8 0

3 years ago

Complete the table. x 0 3 y=13x+2

I am Lyosha [343]

Answer:

Step-by-step explanation:

If x equals 3:

13x3 is 39

39+2 is 41

3 0

3 years ago

Constance wants to purchase an school jacket. She saw the same jacket at a few stores. Store A had the jacket for 15% off the or

soldi70 [24.7K]

Store A will be the better buy.

The price will be $53.70 after sales tax at store A.

Step-by-step explanation:

Price of Jacket at store A = $59.60

Discount = 15%

Discount Amount = $\frac{15}{100}*59.60\\$

Discount Amount = $0.15*59.60=\$8.94$

Price after discount = Original price - Discount amount

Price after discount = 59.60 - 8.94 = $50.66

Price of Jacket at store B = $50.99

The price at store A becomes less than store B after discount, therefore, buying from store A is better.

Sales tax = 6%

Sales tax amount = $\frac{6}{100}*50.66$

Sales tax amount = $0.06*50.66=\$3.0396$

Price after sales tax = Discount price at store A + Sales tax amount

Price after sales tax = 50.66 + 3.0396 = $53.6996

Rounding off to nearest hundredth;

Price after sales tax = $53.70

The price will be $53.70 after sales tax at store A.

Keywords: percentage, addition

Learn more about percentages at:

#LearnwithBrainly

8 0

3 years ago

Sasha can mow of an acre of grass in 45 minutes. How many acres of grass does Sasha mow per hour?

AleksAgata [21]

Answer:

45 minutes =34 hour. → Sasha mows 48=12 of an acre in 44=1 hour.

Step-by-step explanation:

5 0

3 years ago

Help pleaseeeeeeeeeeeeeeeeeeeeeee

bixtya [17]

Answer: $\bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}$

Step-by-step explanation:

(1) (12, 18, 27, ...)

The common ratio is:

$r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\ r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}$

$(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\ r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}$

3 0

3 years ago