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Masteriza [31]
2 years ago
6

Given g(x) = f(x) + k. Identify a value of k that transforms finto g. Round your answer to the nearest integer. g 2 X - 14 -2 O

2 2 f k =​
Mathematics
1 answer:
Keith_Richards [23]2 years ago
4 0

Answer:

  • k = -5

Step-by-step explanation:

We can see the lines are parallel

The function f(x) has y-intercept of 2 at point (2, 0) and the function g(x) has y-intercept of -3 at point of (-3, 0)

If f(x) = mx + 2, then g(x) = mx - 3

<u>The value of k is the difference of y-intercepts as slopes are same due to lines being parallel:</u>

  • g(x) = f(x) + k
  • k = g(x) - f(x)
  • k = (mx - 3) - (mx + 2)
  • k = -3 - 2
  • k =  -5

So the answer is k = -5

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Please help, it’s urgent !
g100num [7]

Answer:

f(-10) = 2 times -10 + 1

= -19

f(2) = 2^2

= 4

f(-5) = 2 times -5 + 1

= -9

f(-1) = (-1)^2

= 1

f(8) = 3-8

= -5

Step-by-step explanation:

5 0
3 years ago
Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet
Irina18 [472]

The distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

Explanation:

It is given that two ships A and B are at a distance 140 ft from each other.

The angle formed by ship A is 82º and the angle formed by ship B is 78º.

To determine the distance from ship B to the signal fire at point C, we need to know the another angle.

Hence, we have,

\begin{aligned}\angle A+\angle B+\angle C &=180^{\circ} \\82^{\circ}+78^{\circ}+\angle C &=180^{\circ} \\160^{\circ}+\angle C &=180^{\circ} \\\angle C &=20^{\circ}\end{aligned}

Now, we shall solve the problem using the law of sines,

\frac{\sin A}{a}=\frac{\sin C}{c}

Substituting the values, we have,

\frac{\sin 82^{\circ}}{a}=\frac{\sin 20^{\circ}}{140}

\frac{0.9903}{a}=\frac{0.3420}{140}

Simplifying, we get,

a=\frac{0.9903 \times 140}{0.3420}

a=405.4

Thus, the distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

4 0
3 years ago
If c=12 and d=9 , what is 82-4c+d​
Doss [256]

Answer:

43

Step-by-step explanation:

multiply 4 x c(12)=48

then just plug it in and solve

82-48=34

34+9=43

7 0
3 years ago
Jackson wraps a gift box in the shape of a right rectangular prism. The figure below
Gala2k [10]

Answer:

14cm is the correct answer

4 0
3 years ago
What is the simplified form of:
irga5000 [103]
Last choice is correct
7 0
2 years ago
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