Answer:
y=5x+5
Step-by-step explanation:
What you're doing is creating an equation for #1 in slope-intercept form (y=mx+b)
Where m is the slope and b is your y-intercept!
If you already have 5 gallons in the tank and your adding 5 more gallons every minute, let x be your minutes:

For #2 you're going to graph this, but you need to know your slope and y-intercept! In this case your slope is 5 and your y-intercept is 5. your graph would look like the picture attached.
For #3, yes! It does make sense to draw a line because the amount of water is increasing in the tank by 5 gallons every minute, meaning it will increase until she stops it.
For #4 If there had been no water in the tank already then the whole equation would change to just being
, because there would be no starting amount. This also means that the graph would look different and it would start at 0 rather than at 5.
Answer:
8 1/4
Step-by-step explanation:
8+(7+1)2 ÷ 4 · (1/2)^4
8+16 / 4 · 1/16
8+4 · 1/16
8+ 1/4 = 8 1/4
6-0.25f (f= -3) so we know that f is -3 so we should start by plugging that into the problem to get (6 - 0.25*-3) Because of order of operations we do multiplication first then subtraction, keeping in mind that a negative number (-3) times a positive number (0.25) will always equal a negative number. we would get 0.25*-3=(-0.75) Now all we have to do is subtract 6 from the answer we just got. 6 - (-0.75) = -6.75
Answer:
1. <em><u>(</u></em><em><u>x^</u></em><em><u>3</u></em><em><u>+</u></em><em><u>7</u></em><em><u>x</u></em><em><u>^</u></em><em><u>2</u></em><em><u>+</u></em><em><u>8</u></em><em><u>x</u></em><em><u>-</u></em><em><u>1</u></em><em><u>6</u></em><em><u>)</u></em><em><u> </u></em><em><u>;</u></em><em><u> </u></em><em><u>domain</u></em><em><u>:</u></em><em><u> </u></em><em><u>R</u></em><em><u> </u></em><em><u>(</u></em><em><u>all</u></em><em><u> </u></em><em><u>real</u></em><em><u> </u></em><em><u>number</u></em><em><u>)</u></em>
<em><u>2</u></em><em><u>.</u></em><em><u> </u></em><em><u>(</u></em><em><u>x-1</u></em><em><u>)</u></em><em><u> </u></em><em><u>;</u></em><em><u> </u></em><em><u>domain</u></em><em><u>:</u></em><em><u> </u></em><em><u>R-</u></em><em><u>(</u></em><em><u>-</u></em><em><u>4</u></em><em><u>)</u></em><em><u> </u></em><em><u> </u></em><em><u>{</u></em><em><u>all</u></em><em><u> </u></em><em><u>real</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>except</u></em><em><u> </u></em><em><u>(</u></em><em><u>-</u></em><em><u>4</u></em><em><u>)</u></em>
Step-by-step explanation:
f*g= f(x) and g(x)
i.e, f*g= (x^2+3x-4)(x+4)
i.e, f*g= x^3+3x^2-4x+4x^2+12x-16
i.e, f*g=x^3+7x^2+8x-16
it's domain is R, i.e, all real number!
f/g=(x^2+3x-4)/(x+4)
i.e, f/g={(x+4)(x-1)}/4
i.e,f/g=x-1
it's domain is all real number,except the number at which (x+4) becomes 0, i.e, x= (-4), -4 is not in domain!
✌️;)
Answer:
1. y = 6
2. y = 8
3. 12, 7, 2, -3, -8
this should be the right answers