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Phantasy [73]
3 years ago
11

F(x)=(x-2)2 X=8 Need answers ASAP

Mathematics
1 answer:
Zina [86]3 years ago
4 0

Answer:

substitute 8 into x =(8-2)2

(6)2=12

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Help pls dont give just the answer pls step by step so i can understand
Irina-Kira [14]

Answer:

y=14

Step-by-step explanation:

Since this is an isosceles triangle due to opposite sides being congruent, the base angles would also be congruent.

50 = 2x \\x=25

plug in 25 in 2x and you would get 50°

Since the sum of a triangle is 180° you could set up an equation 50+50+5y+10=180

Then, add 50+50=100+10=110

then you would then have 5y+110=180\\

subtract 110 from 180, leaving you with 70

5y=70

then divide and you would get 14

Check:

5(14)+10+50+50= 180

8 0
3 years ago
The plans for a new ammusement park were laid out on the first quadrant of a coordinate plane. The entrance to the roller coaste
Solnce55 [7]

The first step is to determine the distance between the points, (1,1) and (7,9)

We would find this distance by applying the formula shown below

\begin{gathered} \text{Distance = }\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ \text{From the graph, } \\ x1\text{ = 1, y1 = 1} \\ x2\text{ = 7, y2 = 9} \\ \text{Distance = }\sqrt[]{(7-1)^2+(9-1)^2} \\ \text{Distance = }\sqrt[]{6^2+8^2}\text{ = }\sqrt[]{100} \\ \text{Distance = 10} \end{gathered}

Distance = 10 units

If one unit is 70 meters, then the distance between both entrances is

70 * 10 = 700 meters

4 0
1 year ago
HELP i’m having trouble with my homework assignments
Aleksandr-060686 [28]

Answer:

Collin: about $401 thousand

Cameron: about $689 thousand

Step-by-step explanation:

A situation in which doubling time is constant is a situation that can be modeled by an exponential function. Here, you're given an exponential function, though you're not told what the variables mean. That function is ...

P(t)=P_0(2^{t/d})

In this context, P0 is the initial salary, t is years, and d is the doubling time in years. The function gives P(t), the salary after t years. In this problem, the value of t we're concerned with is the difference between age 22 and age 65, that is, 43 years.

In Collin's case, we have ...

P0 = 55,000, t = 43, d = 15

so his salary at retirement is ...

P(43) = $55,000(2^(43/15)) ≈ $401,157.89

In Cameron's case, we have ...

P0 = 35,000, t = 43, d = 10

so his salary at retirement is ...

P(43) = $35,000(2^(43/10)) ≈ $689,440.87

___

Sometimes we like to see these equations in a form with "e" as the base of the exponential. That form is ...

P(t)=P_{0}e^{kt}

If we compare this equation to the one above, we find the growth factors to be ...

2^(t/d) = e^(kt)

Factoring out the exponent of t, we find ...

(2^(1/d))^t = (e^k)^t

That is, ...

2^(1/d) = e^k . . . . . match the bases of the exponential terms

(1/d)ln(2) = k . . . . . take the natural log of both sides

So, in Collin's case, the equation for his salary growth is

k = ln(2)/15 ≈ 0.046210

P(t) = 55,000e^(0.046210t)

and in Cameron's case, ...

k = ln(2)/10 ≈ 0.069315

P(t) = 35,000e^(0.069315t)

5 0
3 years ago
How many thousandths are in 4 hundredths?
Rus_ich [418]
<span>4 hundredths equal 400 thousandths because hundredths to thousandths is increased by 100.</span>
6 0
3 years ago
Read 2 more answers
Julio is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a week.last week he worked 35 hours and e
blagie [28]

For 30 hours Julio is paid 30r dollars.

For the extra 5 hours he worked he earns 5*1.4r = 7r dollars

So the equation is

30r + 7r = 436.60

37r = 436.60

r = 436.60 / 37 = 11.80

His normal hourly rate is $11.80 answer

3 0
3 years ago
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