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Fed [463]
1 year ago
7

How many solutions does the equation have? |h| − 8 = 4 no solution, one solution, two solutions

Mathematics
1 answer:
Gennadij [26K]1 year ago
5 0

Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions

<h3>Modulus functions</h3>

Modulus functions are functions that can either be positive or negative. Given the modulus function below;

|h| − 8 = 4

The modulus of h can both be negative and positive

If the modulus of h is positive then;

h - 8 = 4

Add 8 to both sides

h-8 + 8 = 4 + 8

h = 4 + 8

h = 12

If the value of h is negative

-h - 8 = 4

-h = 4 + 8

h =-12

Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions

Learn more on modulus function here: brainly.com/question/23450491

#SPJ1

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victus00 [196]

Answer:

6^8

Step-by-step explanation:

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5 0
3 years ago
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Suppose that MNO is isosceles with base NM. Suppose also that =m∠N+4x7° and =m∠M+2x29°. Find the degree measure of each angle in
chubhunter [2.5K]

Answer:

m∠N = 51°

m∠M = 31°

m∠O = 98°

Step-by-step explanation:

It is given that ΔMNO is an isosceles triangle with base NM.

m∠N = (4x + 7)° and m∠M = (2x + 29)°

By the property of an isosceles triangle,

Two legs of an isosceles triangle are equal in measure.

ON ≅ OM

And angles opposite to these equal sides measure the same.

m∠N = m∠M

(4x + 7) = (2x + 29)

4x - 2x = 29 - 7

2x = 22

x = 11

m∠N = (4x + 7)° = 51°

m∠M = (2x + 9)° = 31°

m∠O = 180° - (m∠N + m∠M)

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         = 180° - 82°

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8 0
3 years ago
The amount of time it takes Ariana to do a math problem is continuous and uniformly distributed between 38 seconds and 79 second
solniwko [45]

Answer:

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, d being greater than c, is given by the following formula:

P(c \leq X \leq d) = \frac{d-c}{b-a}

Uniformly distributed between 38 seconds and 79 seconds.

This means that a = 38, b = 79

What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem

c = 58, d = 70

P(58 \leq X \leq 70) = \frac{70 - 58}{79 - 38} = 0.2927

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

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3 years ago
Multiple(x-4)(2x+3) using the distributive property
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Answer:

See Below

Step-by-step explanation:

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