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Snezhnost [94]
3 years ago
5

What is the solution to the inequality -2y + 15 < 11?

Mathematics
2 answers:
kherson [118]3 years ago
6 0
Y>2 , if solving for y
12345 [234]3 years ago
3 0

Answer:

y < 2

Step-by-step explanation:

1. subtract 15 from both sides

-2y+15<11

     -15  -15

2. divide each side by -2

-2y<-4

3. you should end up with:

y < 2

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The graph of which function will have a maximum and a y-intercept of 4? f(x) = 4x2 + 6x – 1 f(x) = –4x2 + 8x + 5 f(x) = –x2 + 2x
Svetradugi [14.3K]

Answer:

It is f(x) = -x^2 + 2x + 4.

Step-by-step explanation:

As it has a maximum the coefficents of x^2 will be negative.

f(x) = -x^2 + 2x + 4

The y-intercept occurs when x = 0 so

y-intercept = 0 + 0 + 4 = 4.

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Origin (0,0), x-axis left to right, y-axis up and down (vertical)

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Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
Alisiya [41]

Answer:

x ≈ 9.5 , y ≈ 15.3

Step-by-step explanation:

sin32° = \frac{opposite}{hypotenuse} = \frac{x}{18} ( multiply both sides by 18 )

18 × sin32° = x , then

x ≈ 9.5 ( to the nearest tenth )

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18 × cos32° = y , then

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2 years ago
Why is it not possible to write the equation of the line through (-8,-5) and (-8,-9) in slope intercept form?
Natalija [7]

Answer:

The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

Step-by-step explanation:

We know the slope-intercept form of line equation is

y = mx+b

where m is the slope and b is the y-intercept

Given the points

  • (-8,-5)
  • (-8,-9)

Finding the slope between (-8,-5) and (-8,-9)

(x₁, y₁) = (-8,-5)

(x₂, y₂) = (-8,-9)

slope = m = (y₂-y₁) / (x₂-x₁)

                = -9 - (-5) / -8 - (-8)

                = -9+5 / -8+8

                = -4 / 0

                = ∞

Thus, the slope = m = ∞

  • The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

In other words, whatever the value of y is, the x-value always remains constant.

In other words, the line will be vertical and the slope of a vertical line will be undefined.

Thus, the equation of this line is:

x = -8

The line graph is also attached.

Therefore, the reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

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