Is f(x) = 5 to the power of x, growth or decay

Approximate the zeros of the function. Round to the nearest tenth if necessary. f(x) = 4x^2 + 4x - 35. Explain each step on how

svet-max [94.6K]

4x²+4x-35=0
factor: (2x+7)(2x-5)=0
2x+7=0, or 2x-5=0
2x=-7 or 2x=5
x=-3.5 or x=2.5

I don't see any rounding necessary in this case.

when you factor ax²+bx+c, you take the two factors of a and the two factors of c, one factor of a times one factor of c, the other factor of a times the other factors, the sum of the two products make b.
in this case, the factors of 4 is 2 and 2, the factors of -35 is -5 and 7. I line them up in the following way:
2 -5

2 7
then I multiple them diagonally, the top left 2 multiplying the bottom right 7=14, and the other 2 multiplying -5=-10, 14 and -10 make a sum of 4.

if you don't get the desired sum, switch the factors up and down till you have the right combination. Note: Do not switch left and right.

I hope this makes sense to you.

8 0

2 years ago

A landscaper buys 1 gallon of plant fertilizer. He uses 1/5 of the fertilizer, and then divides the rest into 3 smaller bottles.

PIT_PIT [208]

Answer:

$\frac{4}{15}$ of a gallon per bottle

Step-by-step explanation:

1 - $\frac{1}{5}$ = $\frac{4}{5}$

$\frac{4}{5}$ / 3 = $\frac{4}{5}$ x $\frac{1}{3}$ = $\frac{4}{15}$

5 0

2 years ago

Please help i need answer and explanation.

allsm [11]

Answer:

m<TVZ = 95

Step-by-step explanation:

2x+15+2x+5= 180

4x+20 =180

-20 -20

4x=160

x= 40

2x+15= m<TVZ

2(40)+15 = m<TVZ

80+15 = m<TVZ

95 = m<TVZ

To check:

2x+5= <WVZ

2(40)+5 = <WVZ

80+5 = <WZV

85+95 = 180

The two angles together should equal 180. Comment if you have any questions :)

6 0

2 years ago

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5. Why did it take 2 years for the U.S. to enter WW2 and why did we finally enter the war?

AlladinOne [14]

The U.S wanted to be isolationists

it did not enter the war untill the japanese bombed Pearl Harbor

6 0

2 years ago

Would anyone please be able to help me??

Svetllana [295]

Answer:

Area of first shape = 97cm^2

Area of second shape = 506cm^2

Area of third shape =143 cm^2

First shape :

i. Area if rectangle in the fig. = l*b

= 12*4

= 48 cm^2

Now, in the same fig. we construct a line and make it a square,

ii. Area of square = s*s

= 7*7

= 49 cm^2

Area of whole shape = 48cm^2 + 49cm^2

= 97 cm^2

Second Shape :

i. Area of the rectangular shape(above one)

= l*b

= 29*14

= 406 cm^2

ii. Area of the rectangle (stick like shape)

= l*b

= 20*(29-24)

= 20*5

= 100 cm^2

Area of whole shape = (100 + 406) cm^2

= 506 cm^2

Third shape :

i. Area of the triangle = 1/2 *b* h

= 1/2 * 13 * 6

= 39 cm^2

ii. Area of the square = s*s

= 13*8

= 104 cm^2

Area of whole shape = (104 + 39) cm^2

= 143 cm^2

Hope it helps!

4 0

2 years ago

Read 2 more answers