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3 years ago

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Which function has a greater minimum? f(x) = 2(x - 3)2 4 5 2- -2 -7-6-5-4-3-2 Choose 1 answer: f y = g(x) 1 2 3 4 5 6 7 -3- -5-

-6 has a greater minimum than g. g has a greater minimum than f. f and g share the same minimum.

1 answer:

pochemuha3 years ago

4 0

Answer:

Step-by-step explanation:

f has a greater minimum than g

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What is a solution to (x + 6)(x + 2) = 60?

Reika [66]

Solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

Step-by-step explanation:

We need to solve the equation: $(x+6)(x+2)=60$

Solving:

$(x+6)(x+2)=60$

Multiplying terms on the left hand side

$x(x+2)+6(x+2)=60$

$x^2+2x+6x+12=60$

$x^2+8x+12=60$

$x^2+8x+12-60=0$

$x^2+8x-48=0$

Now factorizing:

$x^2+12x-4x-48=0$

$x(x+12)-4(x+12)=0$

$(x-4)(x+12)=0$

$(x-4)=0\,\,and\,\,(x+12)=0$

$x=4\,\,and\,\,x=-12$

So, solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

5 0

3 years ago

Mr. Arnold drives 130 miles round trip to work 5 days a week. Write and solve an equation to find how many miles he drives in 60

mart [117]

Answer:

The answer is D.

Step-by-step explanation:

130 x 60 = 7,800 miles. you don't need the extra information "5 days a week" to solve the problem.

3 0

3 years ago

Simplify:(y²+z²) -2yz

VMariaS [17]

Answer:

$(y-z)^{2}$

Step-by-step explanation:

$(y^{2}+z^{2} ) -2yz\\\\y^{2} +z^{2} - 2yz\\\\y^{2} +2yz + z^{2}\\\\(y-z)^2\\$

5 0

3 years ago

Helen got a $7 reduction in the price of pair of jeans that are normally $32. What is the aproximate percent decrease In The pri

hjlf

$ 7 dollar reduction....that means new price is (32 - 7) = 25

percent decrease = (original number - new number) / original number..* 100
(32 - 25) / 25....* 100
7/25 * 100
0.28 * 100
28% decrease <==

6 0

3 years ago

10. Using the following arithmetic sequence, find the 29th term: –36, –32, –28, –24.

Mashcka [7]

<span>–36, –32, –28, –24 This is an arithmetic sequence because each term has the same difference from the preceding term, called the common difference, d...

-32--36=-28--32=-24--28=4 So 4 is d, the common difference.

The sequence of any arithmetic sequence has the form:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number...in this case we have:

a(n)=-36+4(n-1)

a(n)=-36+4n-4

a(n)=4n-40 so the 29th term is:

a(29)=4(29)-40

a(29)=116-40

a(29)=76

...

distance=velocity * time

d=vt we want to find t so

t=d/v and in this case:

t=234/70

t=(210+24)/70

t=3hr+(60*24)/70

t=3hr+20min+34sec so

t≈3hr 20min

...

This is an arithmetic sequence...100,150,200...

The sum of an arithmetic sequence will always be the average of the first and last terms times the number of terms....

the rule for the sequence is:

a(n)=a+d(n-1), a(n)=100+50d-50, a(n)=50n+50

Now we know the nth term is 50n+50, and we also know the first term is 100 so:

s(n)=n(100+50n+50)/2 and we want to know the sum of the first 10 terms so

s(10)=10(100+500+50)/2

s(10)=$3250

...

The first two terms are 2 and 4 so:

a(n)=2+2(n-1)

a(n)=2+2n-2

a(n)=2n

a(10)=20

...

You could do synthetic or long division, but you also could just use the fact that the factor being (x+8) should indicate a zero for the function when x=-8. If f(x) could be divided by (x+8) the value of y(-8) would equal zero, however calculating y(-8)=-10 so that would be the remainder if you did the division.</span>

8 0

3 years ago