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The function f(x) will be sometimes positive and sometimes negative on the interval

Option (3) is correct.

An arrangement known as a function connects inputs to essentially one output.

In other words, a function is a relationship between variables, and the nature of that relationship—for example, y = sinx and y = x +6—defines the function.

Given function:

f(x) = (x - 5) (2x - 7) (7x - 3)

The term (x - 5) will be negative if x < 5.

The term (2x - 7) will be negative if x<3.5

So, If x = 4, (x - 5) will be negative but (2x - 7) will be positive, resulting in a negative overall value.

Therefore, if x = 3, then (x - 5) will be negative, as well as (2x - 7), making the whole value negative.

Hence, the function f is sometimes positive and sometimes negative on the interval.

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Answer: 2x+1

Step-by-step explanation:

Answer:

DBA ok you got that maybe

Answer:

so just successive powers of 2

Step-by-step explanation:

1, 3, 7, 15, 31, 63, _? Add successive powers of 2 to the number: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127.

The given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.

Given that,

To justify the given sequences 1,3,7,15.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
Given a sequence, 1,3,7,15
where first term      A0 = 1
         second term  A1 = 1 + 2 = 3
          third term      A2 = 3 + 4 = 7
From above sequence we can conclude the general term for the sequence as, S = A(n-1) + (A(n-1) + 1)

Thus, the given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.

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Answer:

Step-by-step explanation:

Let x equal number of weeks and y equal money in the bank.

Nancy, y=425+25x

Sam, y=705-15x

The system of equations:

Nancy:   [tex]y=\$425+\$25x[/tex]

Sam :   [tex]y=\$705-\$15x[/tex]

Given:

Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Amount in Sam's bank = $705

Amount spend by Sam each week = $15

To find:

The system of equations describing the given models.

Solution

1) Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Let the number of weeks Nancy saving her money be 'x'.

Let the total amount of money in Nancy's bank after x weeks be 'y'.

[tex]y=\$425+\$25\times x\\y=\$425+\$25x[/tex]

The equation for Nancy:

[tex]y=\$425+\$25x[/tex]

2)

Amount in Sam's bank = $705

Amount spend by Sam each week = $15

Let the number of weeks Sam spending his money be 'x'

Let the total amount of money left in Sam's bank after x weeks ='y'

[tex]y=\$705-\$15\times x\\y=\$705-\$15x[/tex]

The equation for Sam:

[tex]y=\$705-\$15x[/tex]

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Answer:

5/x subscript 2

Step-by-step explanation:

Answer:

(-1, -5)

Step-by-step explanation:

[tex]\left \{ {{y=5x} \atop {y=9x+4}} \right.[/tex]

1. We must calculate x, for that we must substitute y, so we have:

5x=9x+4

2. Now we solve the equation.

5x-9x=4

-4x=4

x=-1

3. Now we must calculate y

y=5x

y=5(-1)

y=-5

And the answer is (-1, -5)

Answer:

the answer is A

Step-by-step explanation:

Answer:

the picture isn't whole, but what I see is a cylinder.

Step-by-step explanation:

Answer:

its 2,340

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]Slope=\frac{dy}{dx}= \frac{200-172}{28-24}=7[/tex]

Answer:

=0

Step-by-step explanation:

0+0=0

it can't be 2 zeroes, just 0

Answer:

0+0=0

Step-by-step explanation:

my albert einstein maths =0+0=15

Answer:

1.-22

2.2

3.48

4.3b

5.1+5v

6.2m+20

7.p=-9

8.x=8

Answer:

I belive it would be A

Step-by-step explanation:

The equivalent of 64/4 is 16

The expression is given as:

64/4

Evaluate the quotient of 64 and 4 i.e. divide 64 by 4

64/4 = 16

Hence, the equivalent of 64/4 is 16

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Answer: (0,-7)

HOPE I HELPED

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Since you are trying to solve for y, you set all the x values to 0.

(Y intercept occurs when x = 0, thats why you sub 0 for all x)

y= -4(0)^2[tex]y=-4(0)^{2} +5(0) -7[/tex]

this simplifies to

y=-7

9

Step-by-step explanation:

I believe its 9 because he borrowed $15 on Monday and then he did $12 more on Tuesday and thats already $27 that he owes his friend but then Franco pays his friend back $18 and he will just owe him $9 left

Answer:

the amount he paid is 36.06

Step-by-step explanation:

hope this helps

Answer:

$33.7554

Step-by-step explanation:

4.5 x 7.98

35.91- the amount without the sales reduction

6% of 35.91

6/100 x 35.91

2.1546- the amount that was deducted

to find out how much he paid we will subtract the deducted amount from the original price which is

35.91-2.1546

$33.7554 is the amount he paid

Answer:

It's log 420

Step-by-step explanation:

Answer:

Part a: 2.5

Part b: The rate the oil fills the tank

Part c: The amount of liquid in the tank to begin with.

Hope this helps. :)

As per the graph that shows the volume of oil in tank T sec.

The given graph describes the volume of the oil in L and shows the value in t seconds. The gradient of the graph is about 2.5 and it shows us the amount of liquid in the tank. The value of the graph that intersects at the L 2 is the amount of liquid found in the tank.

Find out more information about the graph.

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Answer: x = 1 and y = -1

Step-by-step explanation:

Since both equations are equal to y, that means the equations are both equal to each other

5x - 6 = -4x + 3

Solve for x how you would traditionally do it with any other one-variable equation

9x = 9

x = 1

Plug the now known x value into either equation and you will get your y value.

5(1) - 6 = -1

-4(1) + 3 = -1

Answer:

Third option is the correct answer

Step-by-step explanation:

Point T is between the point R and point S.

Answer:

Step-by-step explanation:

y in (-oo:+oo)

(1/3)*y = 15 // - 15

(1/3)*y-15 = 0

1/3*y-15 = 0 // + 15

1/3*y = 15 // : 1/3

y = 15/1/3

y = 45

y = 45

Answer: The answer is five

Step-by-step explanation: This is because if the equasion is 1/3 x y and y=15 than the equasion is 1/3 x 15 or 1/3 x 15/1 which is 5

Answer:

$240

Step-by-step explanation:

I = prt

I = (2,400) (0.04) (2.5)  

note: I changed 4% to a decimal and 30 months to 2.5 years

I = 96 (2.5)

I = 240   <-- The interest

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The simple interest accumulated on a principal of $ 2,400.00  at a rate of 4% per year for 2.5 years (30 months) is $240.00.

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* Last time I did interest was in 6th grade and I don't remember much. So I am very sorry if my answer is wrong *

Answer:

2/5 is fraction form.

0.4 is decimal form btw.

Answer:

Martha can write 3.75 essays in 15 hours. (Which is a lot for me)

Step-by-step explanation:

First, I divide 2 by 8.

2 ÷ 8 = 0.25

Next I multiply 0.25 by 15.

0.25 * 15 = 3.75

So, the answer is 3.75

Hope this helps! :)

Step-by-step explanation:

in 8 hours she wrote = 2 essay

in 1 hour she wrote = 2/8 = 1/4

in 15 she wrote = 15 × 1/4 = 15/4 or 3.75 essays .

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Answer:

D. 13.9

Step-by-step explanation:

Find the missing side

[tex]sin(60)= \frac{x}{16}[/tex]

x = 16 × [tex]sin(60)[/tex]

x = 13.9

It is sin because its opposite over hypotenuse

Answer:

y=1.5x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-5=1.5(x-2)

y=1.5x-3+5

y=1.5x+2

Answer:

Lots of "ifs" here.

A=bh/2 is the formula for the area of a triangle.

A=bh is the formula for the area of a rectangle or a parallelogram.

If the 6 & 4 area the base & height of a rectangle, then (6)(4) = 24 in^2

If the 6 & 10 are the base and height of a triangle, then 1/2(6)(10) = 30 in^2

Step-by-step explanation:

Answer:

3

1

2

Step-by-step explanation:

Math simplification

Answer:

A=3, B=1, C=2

Step-by-step explanation: