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4 years ago

Solving Two-Step Inequalities

Mathematics

1 answer:

Nuetrik [128]4 years ago

6 0

Answer:

x > $\frac{9}{5}$

Step-by-step explanation:

Given

$\frac{2}{3}$ x - $\frac{1}{5}$ > 1

Multiply through by 15 to clear the fractions

10x - 3 > 15 ( add 3 to both sides )

10x > 18 ( divide both sides by 10 )

x > $\frac{18}{10}$ , that is

x > $\frac{9}{5}$

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The first term of an arithmetic sequence is-3 and the 15 term is 53. What is the common difference of the sequence?

Annette [7]

$a_2=a_1+d$
$a_3=a_2+d=a_1+2d$
$a_4=a_3+d=a_1+3d$
...
$a_{15}=a_1+14d$

Since $a_1=-3$ and $a_{15}=53$ , the common difference $d$ is

$53=-3+14d\implies d=4$

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3 years ago

Given the following linear functio, determine the slope of a line parallel to f(x)

andrew11 [14]

Answer:

Option C is correct.

C. 4/3

Step-by-step explanation:

Given:

The given linear function of a line.

F(x)=4/3x+2

We need to determine the slope of a line parallel to F(x)=4/3x+2

Solution:

First we compare the given function of the line with standard form of a line. $y = mx + c$

Where m = slope of the line.

And c = y-intercept

So, the slope of the line $m=\frac{4}{3}$ and y-intercept $c=2$

We know that the slope of the parallel lines are same.

Therefore, the slope of a the parallel line $m=\frac{4}{3}$ .

8 0

3 years ago

Write the equation of the line passing through points A (2,1) B (5,2)

musickatia [10]

Answer:

A(2,-1) B(5,1)

(y-1)=1+1)/5-2)(x-5)

y-1=2/3(x-5)

3y-3=2x-10

2x-3y-7=0

Step-by-step explanation:

3 0

2 years ago

7-41= (-15)+33= 62-84= (-26)-14=

Gala2k [10]

Answer:

-34

-22

-40

Explanation:

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4 years ago

The difference between the boiling and melting points of fluorine is 32 degrees C.

Alja [10]

Let the melting point be x degree C.
-188-x= 32
-x=32+188
-x=220
x= -220
Hence, the melting point of fluorine is -220 degree C.

6 0

3 years ago