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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

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write and solve an equa
adell [148]

Answer:

The temperature at midnight is -12 degree Celsius

Step-by-step explanation:

Given -

Temperature at 6:00 PM = -20 degree Celsius

Let the temperature at midnight be X degree Celsius

From midnight to 6:00 am, the temperature rose by 8 degree Celsius

X - (-20) = 8

X = 8-20

X = -12 degree Celsius.

The temperature at midnight is -12 degree Celsius.

5 0
3 years ago
Melanie is making lemonade and finds a recipe that calls for 1 part lemon juice 2 parts sugar and 8 parts water. She juices 2 le
Alex17521 [72]

The amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.  

<h3>Amount of sugar and water needed</h3>

Ratio=Lemon juice: Sugar: Water=1:2:8

Table spoons sugar needed=6×2=12

Table spoons water needed=6×8=48

Since 1 cup equals 16 tablespoons

Hence,

Sugar

12 tablespoons=1/16×12 cup

12 tablespoons=3/4 cup

Water

48 tablespoons=1/16×48

48 tablespoons=3 cups

Therefore the amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.  

Learn more about amount of sugar and water needed here:brainly.com/question/9109790

#SPJ1

7 0
1 year ago
Enlarge the triangle by scale factor of -1/3
Bess [88]

The attached image represents the triangle after it has been enlarged

<h3>How to enlarge the triangle?</h3>

The given parameters are:

  • Scale factor, k = -1/3
  • Center, (a,b) = (-1,2)

From the graph, the coordinates of the triangle are:

A = (-4,2)

B = (-4,-4)

C = (-1,-4)

The rule of dilation is calculated using:

(x,y) \to (k(x - a) + a, k(y - b) + b)

So, we have:

A' = (-\frac 13(-4 +1) - 1, -\frac 13(2 - 2) + 2)

A' = (0, 2)

B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)

B' = (0, 4)

C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)

C' = (-1, 4)

See attachment for the image of the triangle, after it has been enlarged

Read more about dilation at:

brainly.com/question/3457976

#SPJ1

4 0
2 years ago
Evaulate 3 x ( 6 - 3)^3
True [87]

the answer is 81x thank youuuuu lol

8 0
2 years ago
Read 2 more answers
190 divided by 95 simplified
Roman55 [17]
190 divided by 95 is 2. 
8 0
3 years ago
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