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2 years ago

Which equation has the same solutions as the equation given below?

Mathematics

2 answers:

harkovskaia [24]2 years ago

8 0

Answer:

B. $\displaystyle (x + 9)^2 = 49$

Step-by-step explanation:

For Quadratic Equations, $\displaystyle y = Ax^2 + Bx + C,$ use the formula $\displaystyle [\frac{b}{2}]^2$ to complete the square:

$\displaystyle (x^2 + 18x + 81) + k \\ (x^2 + 18x + 81) - 49 \\ \\ (x + 9)^2 - 49 → (x + 9)^2 = 49$

I am joyous to assist you anytime.

Lapatulllka [165]2 years ago

3 0

Answer:

Step-by-step explanation:

Also solved eveything

(x+9)^2=49

x^2+18x+81=49

x^2+18x+32=0

a=1, b=18 and c=32

x= (-18 +/- Sqrt (18^2-4×32))/2

x= (-18 +/- Sqrt (324-128))/2

x= (-18 +/- Sqrt (196))/2

x= (-18 +/- 14)/2

x= (-18 +14)/2 = -4/2 =-2

x= (-18 -14)/2 = -32/2 =-16

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Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the

olganol [36]

Answer:

none of the above

f(x) ≈ 197·1.03^x; approximately 3% daily

Step-by-step explanation:

If we let x represent days, then x/7 represents weeks and we can rewrite f(x) as ...

f(x/7) = 197·1.25^(x/7) = 197·(1.25^(1/7))^x

f(x) ≈ 197·1.03^x

The daily multiplier of 1.03 represents a daily growth rate of

1.03 -1 = .03 = 3%

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These answers are not found among the offered choices:

f(x) = 197·1.03^x

3% daily growth

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

7. lid ﬁlls his sports bottle with 1.2 liters of water After his bike ride he drinks milliliters of the water How much waters le

Goryan [66]

1 litre = 1000 millilitres so 1200-200= 1000 millilitres left or 1 litre left

3 0

3 years ago

Felicity babysat 2 hours each night for 10 nights. She earned a total of $180 babysitting. Felicity wants to calculate her hourl

Virty [35]

Answer:

$9 a hour.

Step-by-step explanation:

2 hours for 10 nights, In total felicity worked for 20 hours.

To hind the hourly rate you would take your number of hours worked ( 20)

and divide it by 180 to see how much felicity got paid for one hour.

180

20

After dividing you will get the answer 9.

4 0

3 years ago

An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.

brilliants [131]

The 15th term of the arithmetic sequence $a_{15} = 64$

Option B is correct

The nth term of an arithmetic sequence is given as:

$a_{n} = a + (n - 1)d$

The first value, a = 22

$a_8 = a+(8 - 1)d\\a_8 = a + 7d$

Since $a_8 = 43$

$43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3$

The common difference, d = 3

$a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64$

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

4 0

1 year ago

Tom wants to buy some protein bars and magazines for a trip he has decided to buy three times as many protein bars with magazine

kumpel [21]

Answer:12 Protein bar and 3 magazines

Step-by-step explanation:

Given

Tom purchases Protein bars 3 times as much as magazine

Each bar cost $\$ 0.7$

Each magazine costs $\$ 2.50$

Sales tax is 6.5 %

suppose Tom buy x magazines so

Price of magazine is $2.5 x$

Price of bars is $3\times 0.7x=2.1 x$

Total Price $=2.5 x+2.1 x=4.6 x$

After sales tax $=4.6x(1+0.065)=4.899 x$

This must be less than $\$ 20$

so $4.899x < 20$

$x< 4.082$

thus $x=4$

so he but 4 magazines and 12 protein bars

3 0

2 years ago