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3 years ago

The graph shown represents a the rule y=x+1.5

Mathematics

1 answer:

VashaNatasha [74]3 years ago

5 0

Answer:

This is the equation of a line with slope of 1 and the intercept point wit the 'y' axis is (0, 1.5)

Step-by-step explanation:

Lines have the following equation: y=mx+b, where 'm' is the slope and b is the interception with 'y' axis when 'x'=0

The attached pictures shows the equation of the line in a graph

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What is the reason for each step in the solution of the inequality?

Citrus2011 [14]

step 1: Given

step 2: Distributive Property

step 3: Combine Like terms

step 4: Subtraction Property of Order

step 5: Addition property of order

step 6: Division property of order

Step-by-step explanation:

We are given the inequality: $-38-3(x+5)>6x-17$

We need to match each step with the reasons.

The given steps are:

−38−3(x+5)>6x−17

So, Reason for step 1: Given

−38−3x−15>6x−17

So, Reason for step 2: Distributive Property

−3x−53>6x−17

So, Reason for step 3: Combine Like terms

−9x−53>−17

So, Reason for step 4: Subtraction Property of Order

−9x>36

So, Reason for step 5: Addition property of order

x<−4

So, Reason for step 6: Division property of order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

7 0

3 years ago

A circle is inscribed in a square is 10 inch sides what is the circumference of the circle use 3.14 as an approximation for pie

MissTica

Answer:

31.4 inches

Step-by-step explanation:

If a circle is inscribed in a square then diameter of circle inscribed is same as side as of square.

In the given problem it is given that side of square is 10 inches.

So diameter of circle inscribed is 10 inches

we know radius of circle is half of diameter of circle

Thus, radius of circle inscribed = diameter of circle/2 = 10/2 = 5inches.

Expression to calculate circumference of circle is given by $2\pi r$

where r is the radius of circle.

Thus circumference of circle inscribed is

$2*\pi *5\\=> 10*3.14 \\=> 31.4$

Thus, circumference of circle inscribed is 31.4 inches

6 0

3 years ago

One number is seven less than five times another. If their sum is decreased by four the result is one. Find the numbers

juin [17]

Let the number be Y .
Y is seven
less than 5 times another (let that other be X)
Y=7-5X
sum of both Y and X minus 4 gives one
Y+X-4=1
now solve both equations .

6 0

3 years ago

Answer qn in attachment

leva [86]

Answer:

$\implies \dfrac{ -4x+7}{2(x-2) }$

Step-by-step explanation:

The given expression to us is ,

$\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}$

Now take the LCM as ( x - 1 ) and Simplify , we have ,

$\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}$

Simplifying further , we get ,

$\implies \dfrac{ -4x+7}{2(x-2) }$

Hence the second option is correct .

4 0

3 years ago

Part 1

andreev551 [17]

Answer:

see explanation

Step-by-step explanation:

Part 1

The n th term of a geometric sequence is

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Given $a_{6}$ = 128, then

a $(2)^{5}$ = 128, that is

32a = 128 ( divide both sides by 32 )

a = 4 ← first term

Part 2

$a_{21}$ = 4 $(2)^{20}$ = 4 × 1048576 = 4194304

6 0

3 years ago