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3 years ago

Which is the solution to the inequality?

Mathematics

2 answers:

nydimaria [60]3 years ago

8 0

Answer:

Step-by-step explanation:

It’s b

n200080 [17]3 years ago

4 0

y < –12

Solution:

Step 1: Given inequality is y + 15 < 3.

To find the solution to the inequality.

Step 2: Subtract –15 on both sides to equal the expression.

⇒ y + 15 –15 < 3 –15

Step 2: Using addition identity property, any number adding with zero gives the number itself.

⇒ y + 0 < –12

⇒ y < –12

Hence the solution to the inequality is y < –12.

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Mark rolls 2 fair dice and adds the results from each.

Natali5045456 [20]

Answer:

P ( X > 5 ) = 72,2 %

Step-by-step explanation:

The probability of success ( outcomes bigger than 5 )

If dice 1 outcome is 6 no matter wich outcome we get from dice 2 all events are successful, the we have 6 outcomes

If dice 1 outcome is 5 we also have 6 outcomes

If dice 1 outcomes is 4 we have 5 positive outcomes

If dice 1 outcome is 3 we have 4 positive outcomes

If dice 1 outcome is 2 we have 3 positive outcomes

if dice 1 outcome is 1 we have 2 positive outcomes

Total evaluating dice 1: positive outcomes 26

We will get the sames results analysing dice 2 then we have a total of

52 successful events

And total numbers of outcomes is 36 + 36 = 72

Then

P ( X > 5 ) = 52/72

P ( X > 5 ) = 0,722

P ( X > 5 ) = 72,2 %

7 0

3 years ago

What’s the scale factor? Please hurry I’m tired and sleep deprived help me I just don’t get it and I want sleep

Doss [256]

In order to find the scale factor we begin by selecting one pair of corresponding sides.

Selecting the base of the triangle

Base of triangle AC is 3 units.

Base of triangle (AC)' is 7.5 units

According to the proportion

$AB\cdot k=(AB)^{\prime}$

REPLACE TH

7 0

1 year ago

Point R is located at (3,2) and point S is located at (8,15) . What are the coordinates of the point that partitions the direct

faltersainse [42]

The coordinates of the point can be solve using the fomula:

x = x1 + r( x2 - x1 )
y = y1 + r( y2 - x1)
where r is the ratio that partitions the segment
x = x1 + r( x2 - x1 )
x = 3 + 1/3( 8 - 3 )
x = 3 + 1/3( 5 )
x = 14/3
y = y1 + r( y2 - x1)
y = 2 + 1/3( 15 - 2)
y = 2 + 1/3( 13 )
y = 19/3
so the coordinate is ( 14/3 , 19/3 )

8 0

3 years ago

Using a spreadsheet program, create an amortization schedule for a 30-year mortgage of $500,000 at an annual interest rate of 4.

madreJ [45]

This exercise requires the ability to create Amortization Schedules Using a Spreadsheet program. Based on the information given about the Amortization of the loan, the principal payable per month became greater than the interest payable per month on the 159th month (given that the loan amount is $500,000.

<h3>In which month does the amount of principal in a monthly payment first exceed the amount of interest?</h3>

The amount of principal in a monthly payment first exceeds the interest payment In 159th Month. The interest on this month is $1, 248.39 while the principal on this month is $1, 205.46.

It is to be noted that when a loan is taken, the constituents of the amounts being paid back is the Principal and part of the interest on the loan.

<h3>How do you Calculate Amortization of Loans?</h3>

The yearly interest rate must be divided by 12.

Your monthly interest rate, for instance, will be 0.3525 percent if your annual interest rate is 4.23 percent (0.0423 annual interest rate x 12 months).

Additionally, you'll add 12 to the number of years remaining on your loan term.

<h3>How much interest is repaid for the term of the loan?</h3>

The total amount of interest that is paid for the term loan is $383,385.54

<h3>If the loan amount was $750,000 instead of $500,000, would the month in which the amount of principal in a monthly payment first exceeded the amount of interest change?</h3>

Yes it would change. It would change to the 165th month. In this month, the interest paid is $1, 834.00 while the principal paid back is $1,846.77. See the attached image for answer C.

Learn more about Amortization at;
brainly.com/question/10561878
#SPJ1

3 0

1 year ago

Find the domain of the function

Svetradugi [14.3K]

Answer:

<em>The domain of f is (-∞,4)</em>

Step-by-step explanation:

<u>Domain of a Function</u>

The domain of a function f is the set of all the values that the input variable can take so the function exists.

We are given the function

$f(x)=\frac{1}{\sqrt{4-x} }$

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:

4 - x > 0

Subtracting 4:

- x > -4

Multiplying by -1 and swapping the inequality sign:

x < 4

Thus the domain of f is (-∞,4)

7 0

2 years ago