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emmasim [6.3K]
2 years ago
13

Luisa solves for x in the equation 9(1/3) + 8x = 4( 2x + 3/4)

Mathematics
2 answers:
Maru [420]2 years ago
7 0

Answer:

x = all real numbers because this equation is an identity

Step-by-step explanation:

9 (1/3) = 9*1/3 = 3

3 + 8x = 4(2x + 3/4)

3 + 8x = 8x + 3

x = all real numbers because this equation is an identity

zhenek [66]2 years ago
3 0

Answer: − 4 cot ( − 45 )

csc(60)

sin (330)

Not 100 % sure but that's what I figured out.

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Half of the students in Max's class volunteer at the local community center. Fifteen students do not volunteer. If there are 12
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Answer:

18

Step-by-step explanation:

15 x 2 = 30

30 - 12 = 18

18 girls are in his class

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2 years ago
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Step-by-step explanation:

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1 year ago
Write the range of the function using interval notation.
nalin [4]

Given:

The graph of a function.

To find:

The range of the given function using interval notation.

Solution:

Range: The set of y-values or output values are known as range.

From the given graph, it is clear that the function is defined for 0 and the values of the functions lie between -2 and 2, where -2 is excluded and 2 is included.

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The interval notation is:

Range =(-2,2]

Therefore, the range of the given function is (-2,2].

3 0
3 years ago
Select the correct answer from each drop-down menu. A parabola is given by the equation y = x2 − 2x − 3. The directrix of the pa
choli [55]

Answer:

Part 1) The directrix of the parabola is y=-4.25

Part 2) The focus of the parabola is F(1,-3.75)

Step-by-step explanation:

we have

y=x^{2}-2x-3

This is a vertical parabola open upward

we know that

If a parabola has a vertical axis, the standard form of the equation of the parabola is

(x - h)^{2}=4p(y - k)

where

p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

The axis is the line x = h.

step 1

Convert the equation of the parabola in standard form

y=x^{2}-2x-3

y+3=x^{2}-2x

y+3+1=x^{2}-2x+1

y+4=x^{2}-2x+1

y+4=(x-1)^{2}

so

(x-1)^{2}=(y+4) ----> equation in standard form

The vertex is the point (1,-4)

4p=1 ------> p=1/4

step 2

Find the directrix of the parabola

The directrix is the line y = k - p

we have

k=-4

p=1/4

substitute the values

y = k - p

y=-4-(1/4)=-17/4

y=-4.25

step 3

Find the focus of the parabola

we know that

The focus is at (h, k + p).

we have

h=1

k=-4

p=1/4

substitute

F(1,-4+1/4)

F(1,-3.75)

4 0
3 years ago
What is the slope that crosses through the point (-4,-5) and (6,8)
Angelina_Jolie [31]
Slope = \frac{Y2 - Y1}{X2 - X1}

\frac{8 - (-5)}{6 - (-4)}

Your final answer is: \frac{13}{10}
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