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Stella [2.4K]
3 years ago
9

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –2/3x 6. what is the point-slope for

m of the equation for this line?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0
Y-8=-2/3(x+3)

Point slope form
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2/3 x + 1/2 equals 3/4 + 5/3 ​
worty [1.4K]
2/3x + 1/2 = 3/4 + 5/3
2/3x + 1/2 - 1/2 = 3/4 + 5/3 - 1/2
2/3x = 3/4 + 5/3 - 1/2
2/3x = 3/4(3/3) + 5/3(4/4) - 1/2(6/6)
2/3x = 9/12 + 20/12 - 6/12
2/3x = 23/12
2/3x(3/2) = 23/12(3/2)
X = 69/24
X = 2 21/24
X = 2 7/8
3 0
3 years ago
Translating mathematical statements in English into logical expressions. info About Consider the following statements in English
arsen [322]

Answer:

See below

Step-by-step explanation:

(a) There is a number whose cube is equal to 2.

\large \exists x \in \mathbb{R}\;|\;x^3=2

(b) The square of every number is at least 0.

\large \forall x\in \mathbb{R},\;x^2\geq 0

(c) There is a number that is equal to its square.

\large \exists x \in \mathbb{R}\;|\;x^2=x

(d) Every number is less than or equal to its square.

\large \forall x\in \mathbb{R},\;x\leq x^2

(By the way, this last statement <u>is not true</u> when 0 < x < 1)

3 0
3 years ago
Solve for x 103 (3x+4)
artcher [175]
309x+412
X=309 over 412
X=3 over 4
6 0
3 years ago
What are the constants in this expression? -10.6+9/10+2/5m-2.4n+3m
UNO [17]

Answer:

-10.6 and ⁹/₁₀  

Step-by-step explanation:

The constants are the numbers that stand by themselves: -10.6 and ⁹/₁₀.

The <em>variables</em> are m and n.

The <em>coefficients</em> are the numbers in front of the variables: ⅖, 2.4, and 3.

7 0
3 years ago
The sum of 4 consecutive even numbers is 36. What is the first number in this sequence?
sashaice [31]

Answer:

the first number in this sequence is 6....

Step-by-step explanation:

First number = x

2nd number = x+2

3rd consecutive even number = x+4

4th consecutive even number = x+6

Therefore,

By adding these numbers:

x+x+2+x+4+x+6= 36

Add the like terms:

4x+12=36

Combine the constants:

4x=36-12

4x=24

Divide both the terms by 4

4x/4 = 24/4

x= 6

Thus the first number in this sequence is 6....

7 0
3 years ago
Read 2 more answers
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