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3 years ago

Plz help me with this

Mathematics

1 answer:

MrRissso [65]3 years ago

4 0

Answer: d) f(x) = | x - 2 | + 1

<u>Step-by-step explanation:</u>

Input the first coordinate (-2, 5) into each of the equations to see which makes a true statement.

f(x) = | x | + 1

5 = | -2 | + 1 → 5 = 2 + 1 → 5 = 3 FALSE

f(x) = | x - 2 |

5 = | -2 - 2 | → 5 = | 4 | → 5 = 4 FALSE

f(x) = | x - 2| - 1

5 = | -2 - 2 | - 1 → 5 = | 4 | - 1 → 5 = 3 FALSE

f(x) = | x - 2| + 1

5 = | -2 - 2 | + 1 → 5 = | 4 | + 1 → 5 = 5 TRUE!

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Please help last one today

murzikaleks [220]

7 28/30 is the answer

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3 years ago

Read 2 more answers

A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on a table in a room where the

Vedmedyk [2.9K]

(a) Using Newton's Law of Cooling, $\dfrac{dT}{dt} = k(T - T_s)$ , we have $\dfrac{dT}{dt} = k(T - 75)$ where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get $\dfrac{dT}{T - 75} = k dt$ . Integrate both sides to get $\ln|T - 75| = kt + C$ .

Since $T(0) = 185$ , we solve for C:
$|185 - 75| = k(0) + C\ \Rightarrow\ C = \ln 110$
So we get $\ln|T - 75| = kt + \ln 110$ . Use T(30) = 150 to solve for k:
$\ln| 150 - 75 | = 30k + \ln 110\ \Rightarrow\ \ln 75 - \ln 110= 30k \Rightarrow \\ k= \frac{1}{30}\ln (75/110) = \frac{1}{30}\ln(15/22)$

So

$\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t} \Rightarrow \\
T = 75 \pm110e^{(1/30)\ln(15/22)t}$

But choose Positive because T > 75. Temp of turkey can't go under.

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)} = 136.929 \approx 137{}^{\circ}F$

(b)

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} = 75 + 110(15/22)^{t/30} \\
100 = 75 + 110(15/22)^{t/30} \\
25 = 110(15/22)^{t/30} 
\frac{25}{110} = (15/22)^{t/30} \\
\ln(25/110) / ln(15/22) = t/30 \\
t = 30\ln(25/110) / ln(15/22) \approx 116\ \mathrm{min}$

Dogs of the AMS.

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3 years ago

Lara went to the nursery and spent $140 she purchased 4 plants each of the plant costs the same price what is the cost of 1 plan

trapecia [35]

Answer:

$35 per plant

Step-by-step explanation:

You take the 140 and divide that by 4 to get your answer.

8 0

3 years ago

Consider the function f(x)= x² - 4

Arisa [49]

Answer:

(X+2) (X-2) . This is the final answer

Step-by-step explanation:

Solving f(x) = x^2 - 4

A^2 - B^2 is a special case where the original equation before it was foiled is

(A + B) (A - B) because the middle terms will cancel out when foiled.

This means that the equation can be written as

(X + 2)(X - 2) = 0

Each of these you will then set equal to 0 and then solve

X + 2 = 0, X - 2 = 0

X = -2, 2

I hope this helps you! let me now if its right ok <3 :)

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3 years ago

Suppose △LPO ≅ △HJU.<br> What is the corresponding congruent parts for each segment or angle?

SashulF [63]

Answer:

NG ( first and last letter of NBG) = WS ( first and last letter of WTS).

BG = TS

G = S

N =W or NG = WS; BG = TS; G = S; N = W.

Step-by-step explanation:

We use the congruence statement to answer these questions. From the way the congruence statement is written, we can see that N = W (they are in the same relative position in the congruence statement). We also see that G and S are in the same relative position, so G = S.

Since N = W and G = S, this means that NG = WS.

From the congruence statement we can also see that B = T (they are in the same relative position). Since G = S, this means that BG = TS.

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3 years ago