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Delicious77 [7]
2 years ago
14

4 questions! Write an equation in slope-intercept form for each of the following:

Mathematics
1 answer:
AysviL [449]2 years ago
3 0
1) y= -4x+c

2) y= 3x+c replace x and y to find c , 5=3(2)+c
C= -1
Y=3x-1

3) find slope first m=y2-y1/x2-x1 = 0-(-1)/-2-1 = 1/-3 and now you have y= -1/3x+c to find c just replace any of the given points , 0= -1/3(-2)+c
C= -2/3 and so y= -1/3x-2/3

4) DO THE SAME STEP AS NUMBER 3 and enjoy!
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4x - 1 = -13 show the work please
m_a_m_a [10]

Answer:

x = -3

Step-by-step explanation:

4x - 1 = -13

add 1 to each side

4x = -12

x = -3

5 0
2 years ago
Read 2 more answers
-/2 points
Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval  (-∞,∞)

Part 2) The range is the interval  (-∞,1]

Step-by-step explanation:

we have

f(x)=-x^2+14x-48

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

Find the range

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

so

The range is the interval

(-∞,k]

Find the vertex

f(x)=-x^2+14x-48

Factor -1 the leading coefficient

f(x)=-(x^2-14x)-48

Complete the square

f(x)=-(x^2-14x+49)-48+49

f(x)=-(x^2-14x+49)+1

Rewrite as perfect squares

f(x)=-(x-7)^2+1

The vertex is the point (7,1)

therefore

The range is the interval

(-∞,1]

6 0
3 years ago
If the temperature is dropping at a rate of 2° per hour how many hours will it take to drop 15°
Tju [1.3M]

Answer:

7 1/2

Step-by-step explanation:

If it drops 2 per hour, and you need it to drop 15, divide 15 by 2 and you’ll get 7.5 or 7 1/2

5 0
3 years ago
HELP
Harrizon [31]

Answer:

Step-by-step explanation:

y - 2 = 2/3(x - 6)

y - 2 = 2/3x - 4

y = 2/3x - 2

5 0
2 years ago
Please help me with this question please clarify what you're saying thank you
Nimfa-mama [501]
To find the circumference of this circle, you need to use the formula C=2(3.14)r
which means circumference=2 times pi times the radius so, you would multiply 2.8(the radius of your circle) times 2. Then you would multiply that times 3.14(pi rounded to the nearest hundredth). And there u go. U have ur answer.

C=2(2.8)(3.14)
C= 5.6(3.14)
C=17.584
C=17.58 feet
7 0
3 years ago
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