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navik [9.2K]
3 years ago
5

Write an inequality to represent the graph.

Mathematics
1 answer:
Goshia [24]3 years ago
7 0

Answer:

y \leq -\frac{3}{4}x+2

y is less than or equal to negative three fourths times x plus 2

Step-by-step explanation:

step 1

Find the equation of the solid line

we have the coordinates (0,2) and (4,-1)

Find the slope m

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{-1-2}{4-0}

m=\frac{-3}{4}

m=-\frac{3}{4}

<em>Find the equation of the line in slope intercept form</em>

y=mx=b

where

m is the slope

b is the y-intercept (value of y when the value of x is equal to zero)

we have

m=-\frac{3}{4}

b=2 ---> is given

substitute

y=-\frac{3}{4}x+2

Remember that

The shading area is below the line

therefore

The inequality is

y \leq -\frac{3}{4}x+2

y is less than or equal to negative three fourths times x plus 2

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How to simplify 24/3
Arturiano [62]

You can simplifying 24/3 by dividing 24 by 3.

24÷3=8

The answer is 8.

7 0
3 years ago
Read 2 more answers
Which coordnates represent a point on the graph of 3y = 5x - 13?
Elena L [17]
(x,y)
sub given points and see if true

A, (0,-13)
x=0
y=-13
3(-13)=5(0)-13
-39=0-13
-39=-13
false (other user was just guessing)

B. (3,1)
x=3,
y=1
3(1)=5(3)-13
3=15-13
3=2
false

C. (7,7)
x=7
y=7
3(7)=5(7)-13
21=35-13
21=22
false

D. (-6,-1)
3(-1)=5(-6)-13
-3=-30-13
-3=-43
false

answer is none of them

3 0
3 years ago
Janelle was trying to find the distance between (3,7) and (9,6) in the coordinate plane. She knew the formula was D=√(9 - 3)^2 +
s2008m [1.1K]
Hello : 
incorrect  answer because : 
\sqrt{ a^{2} + b^{2} }  \neq   \sqrt{ a^{2} } + \sqrt{ b^{2}}  \neq a+b
but : 
\sqrt{ (a+b)^{2} } = a+b........a+b <span>≥ 0</span>
5 0
3 years ago
20 POINTS AND WILL GIVE BRAINLIEST IF MORE THAN ONE ANSWER!
pickupchik [31]

Answer:

Step-by-step explanation:

or

Step-by-step explanation:

has:

1) amplitude=|a|

2) phase shift=b

3) period=2pi/c

d) vertical shift=d

--------------------------------------------------

You are given the amplitude is 2. This means a could either be 2 or -2.

You are given phase shift is -1/8. This means b is -1/8.

You are given the period is pi. So we need to solve pi=2pi/c.

pi=2pi/c

Dividing both sides by pi gives:

1=2/c

Multiply both sides by c gives:

c=2

The vertical shift is -2 so d=-2.

The equation could either be:

y=2cos(2(x-(-1/8)))-2

or

y=-2cos(2(x-(-1/8)))-2

Simplifying a little gives:

y=2cos(2x+1/4)-2

y=-2cos(2x+1/4)-2

5 0
3 years ago
What can you say about the sum of consecutive odd numbers starting with 1? that is, evaluate 1, 1c3, 1c3c5, 1c3c5c7, and so on,
Mice21 [21]

Let us add consecutive odd numbers and try to find any relationship.

1. 1

2. 1+3 = 4 ( square of 2 i.e 2^{2} )

3. 1+3+5 = 9 ( 3^{2} )

4.  1+3+5+7 =  16 (4^{2} )

5. 1+3+5+7+9 = 25 (5^{2} )

6. 1+3+5+7+9+11 = 36 ( 6^{2} )

7. 1+3+5+7+9+11+13 = 49 (7^{2} )

If we notice, the sum of the consecutive odd integers in each case is equal to the square of the place where it lies. For example, the sum of numbers in seventh place is equal to 7^{2}. The sum of the numbers in the fifth line is equal to 5^{2}.

4 0
3 years ago
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