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Ilia_Sergeevich [38]
1 year ago
12

The function y=-x-3 is graphed only over the domain of (x1-8≤x≤ 8). What is the range of the graph?

Mathematics
1 answer:
irinina [24]1 year ago
5 0

Answer:

B) -5\leq y\leq -1

Step-by-step explanation:

The range is the lowest point to the highest point on the graph.

Remember this:

1. domain (x-axis) LEFT –> RIGHT

2. range BOTTOM (y-axis) –> TOP

when this equation is graphed over the domain, it limits the range to being (8,–5) and (–8,–1) and since with range you only look at the y-coordinates that means that the range is [–5,–1]

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Answer:

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Step-by-step explanation:

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3 0
1 year ago
Please help I will give brainliest!
Burka [1]
Answer: the statement “measure of <4 is 105 degrees” is incorrect.

Explanation: This is because since both angles 1 and 3 are vertical, this means they are both 95. This gives us 190 (95x2). Now we subtract this from 360 which gives us 170. Since angles 2 and 4 are vertical, we divide by 2, which gives us 85, not 105.

Hope this helps! :)
3 0
3 years ago
Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po
jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

Step-by-step explanation:

The given equation is

x^3-21x=-20

It can be written as

x^3+0x^2-21x+20=0

Splitting the middle terms, we get

x^3-x^2+x^2-x-20x+20=0

x^2(x-1)+x(x-1)-20(x-1)=0

(x-1)(x^2+x-20)=0

Splitting the middle terms, we get

(x-1)(x^2+5x-4x-20)=0

(x-1)(x(x+5)-4(x+5))=0

(x-1)(x+5)(x-4)=0

Using zero product property, we get

x-1=0\Rightarrow x=1

x-4=0\Rightarrow x=4

x+5=0\Rightarrow x=-5

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

3 0
3 years ago
Given that F(x) = x2 + 2, evaluate F(1) + F(5).
gavmur [86]

Answer:

F(1)+F(5)= 30

Step-by-step explanation:

F(1)=1^2+2=1+2=3

F(5)=5^2+2=25+2=27

27+3=30

6 0
3 years ago
Write down the equation of a line whose slope is -7 and crosses the y-axis at 7. Express in slope-intercept form.
Gre4nikov [31]

Answer:

y= -7x+7

Step-by-step explanation:

y= mx+b

y= slope x+ y intercept

7 0
2 years ago
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