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3 years ago

Which inequality is equivalent to |x-4|<9

Mathematics

2 answers:

Lorico [155]3 years ago

8 0

Answer with explanation:

The Given Inequality is

|x-4|<9

Modulus of a number yields always a positive value.

→|x-4|= x-4, when, x-4≥0

That is , x≥4.

= -(x-4), when, x-4<0

means, x<4.

it can be Written as

→ -9<x-4<9

→ -9+4 < x -4+4 < 9+4

→ -5<x<13

→x∈(-5,13)

AnnyKZ [126]3 years ago

6 0

The answer is –9 < x – 4 < 9

option B in edg.

please give brainliest

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iragen [17]

Y=x+4
3x+Y=-8

3x+x+4=-8
X=-3. Substitute the value of x

Y=-3+4
Y=1

(X,Y)= (-3,1)

So the answer is C

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3 years ago

Read 2 more answers

Under what condition the composite function of any two function is an identity function?

Veseljchak [2.6K]

Answer:

under the condition of f(x)=x composite function is an identity one

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3 years ago

Find four numbers that are evenly divisible by both 2 and 9

Hatshy [7]

Answer:

144

Step-by-step explanation:

For numbers to be divisible by 2 they must end in an even number

For numbers to be divisible by 9 the sum of the digits must be divisible by 9

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2 years ago

A parabola is defined by the equation x = 5y2 In which direction will the parabola open?

Sedaia [141]

Answer:

C) To the right.

Step-by-step explanation:

3 0

3 years ago

During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Fi

Afina-wow [57]

The second question:

Consider the division expression $7\frac{1}{2} / 2$ . Select all multiplication equations that correspond to this division expression.

$2 * ? = 7\frac{1}{2}$ $7\frac{1}{2} * ?= 2$ $? * 2 = 7\frac{1}{2}$

$2* 7\frac{1}{2} = ?$ $? * 7\frac{1}{2} = 2$

Answer:

1. See Explanation

2. $2 * ? = 7\frac{1}{2}$ and $? * 2 = 7\frac{1}{2}$

Step-by-step explanation:

Solving (a):

Given

$Students = 60$

$Group = Equal\ Sized$

Required

Interpret $\frac{60}{5}$ in 2 ways

Interpretation 1: Number of groups if there are 5 students in each

Interpretation 2: Number of students in each group if there are 5 groups

Solving the quotient

$Quotient = \frac{60}{5}$

$Quotient = 12$

For Interpretation 1:

The quotient means: 12 groups

For Interpretation 2:

The quotient means: 12 students

Solving (b):

Given

$7\frac{1}{2} / 2$

Required

Select all equivalent multiplication equations

Let ? be the quotient of t $7\frac{1}{2} / 2$

So, we have:

$7\frac{1}{2}/2 = ?$

Multiply through by 2

$2 * 7\frac{1}{2}/2 = ? * 2$

$7\frac{1}{2} = ? * 2$

Rewrite as:

$? * 2 = 7\frac{1}{2}$ --- This is 1 equivalent expression

Apply commutative law of addition:

$2 * ? = 7\frac{1}{2}$ --- This is another equivalent expression

8 0

3 years ago