Mathematics College

I’m need this worked out step by step by tonight

Answers

Answer 1

9514 1404 393

Answer:

-3 ≤ x ≤ 19/3

Step-by-step explanation:

This inequality can be resolved to a compound inequality:

-7 ≤ (3x -5)/2 ≤ 7

Multiply all parts by 2.

-14 ≤ 3x -5 ≤ 14

Add 5 to all parts.

-9 ≤ 3x ≤ 19

Divide all parts by 3.

-3 ≤ x ≤ 19/3

_____

Additional comment

If you subtract 7 from both sides of the given inequality, it becomes ...

|(3x -5)/2| -7 ≤ 0

Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.

For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...

|f(x)| < (some number) . . . . or ≤

If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:

|f(x)| > g(x) ⇒ f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0

Any solutions to these inequalities must respect their domains.

Related Questions

What can you multiply 2 to 10 by to get the ratio of 4 to 20

Answers

Answer:

multiply both by 2

Step-by-step explanation:

2 x 2 = 4

10 x 2 = 20

A bank pays simple interest at the rate of 5% per annum on all deposits. Interest is credited to the account quarterly on March 31st, June 30th , September 30th and December 31st, based on the minimum quarterly balance for that period. If a person opens an account with a deposit of $ 40,000 on January 1st. They then make a withdrawal of $ 3,000 on 10th June. If there were no further transactions (deposits or withdrawals), how much interest will be credited to the account on December 31st.

Answers

Balance Jan 1 = $40000
Interest Mar 31 = 40000 x 5% = $2000
Balance Mar 31 = 40000 + 2000 = $42000
Withdraw Jun 10 = $3000
New balance = $39000
Interest Jun 30 = 39000 x 5% = $1950
Balance Jun 30 = 39000 + 1950 = $40950
Interest Sep 30 = 40950 x 5% = $2047.50
Balance Sep 30 = 40950 + 2047.50 = $42997.50
Interest Dec 31 = 42997.50 x 5% = $2149.88 rounding up to nearest cent

Solve: x^3+3x^2+4x=0

Answers

Answer:

x^3 + 3x^2 + 4x = 0

0^3 + 3(0)^2 + 4(0) = 0

Step-by-step explanation:

x = 0

help me guys I don't get this !!!

Answers

Answer:

-2.5, 0.75

Step-by-step explanation:

When we need to find a solution to a system of equations using a graphing tool, we graph those two equations and find the point of intersection.

This is an informative article on how to do that:

https://www.dummies.com/education/graphing-calculators/how-to-find-points-of-intersection-on-the-ti-84-plus/

Joseph is playing with blocks to create a design. With each step he continues to add
blocks. How many blocks will be required in the 5th and 6th step? Explain how you
know.

Answers

Answer:

times by 2 because it keeps going up by times 2 the number of blocks

9514 1404 393

Answer:

5th: 32

6th: 64

The number doubles at each step.

Step-by-step explanation:

Sequence problems are always tricky. Any finite list of numbers can always be represented by a polynomial, and can include any arbitrary next number. Generally, you are asked to find a simple rule that can explain the sequence shown and can be used to predict the continuation of the sequence.

It is often useful to look at the differences between values and/or their ratios. The sequence of block counts is ...

2, 4, 8, 16

1st differences are 4 -2 = 2, 4, 8 . . . . . the differences match the sequence

ratios are 4/2 = 2, 8/4 = 2, 16/8 = 2 . . . . . . the ratio is common: 2

We observe that each number of blocks is double the one before, and that the number of blocks is a power of 2 equal to the step number.

The blocks in the 5th step will be 2^5 = 32.

The blocks in the 6th step will be 2^6 = 64.

_____

Additional comment

It also looks like the shape alternates between a rectangle and a square. The 5th step will probably be a rectangle, and the 6th step will be a square.

Angle ABC measures 35 and angel BAC meausures 115

Answers

Answer:

a. 115 degrees

b. 35 degrees

c. 30 degrees

Step-by-step explanation:

Write the standard form equation of the parabola that passes through (20,−40),if the vertex at the origin and the axis of symmetry is vertical.

Answers

Answer:

y = -0.1x^2

Step-by-step explanation:

Start out with vertex form

y = a(x - h)^2 + k

The vertex at the origin

Therefor (h, k) = (0, 0)

y = ax^2

use point (20, -40) to find a

-40 = a(20^2)

-40 = a(400)

Divide both sides by

400

-0.1 = a

Therefor

y = -0.1x^2

This is standard form with a = -.01 and both b and c equal to zero

what decimal is equivalent to 8 9/100

Answers

Answer:

8.09

Step-by-step explanation:

8.09 I think. I’m not positive but I think so.

You can
apply the rules of exponents to the problem in BOTH radical form and rational exponent
form true or false

Answers

Answer:

When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^½. In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.For the denominator, that deals with the radical. The index, to be exact. The index describes what kind of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3).^^^Exponential fractions still follow the same rules of simplifying, so...

x^2/4 = x^1/2 = sqrt(x)

Step-by-step explanation:

When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2

Now, how to go about doing this:

In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.

For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:

x^6/5 = Fifth root of x^6

x^3/1 = x^3

^^^Exponential fractions still follow the same rules of simplifying, so...

x^2/4 = x^1/2 = sqrt(x)

is 0 a natural number or a whole number

Answers

Answer:

O is a whole number.

Step-by-step explanation:

Answer:

0 is not a natural number, it is a whole number.

Step-by-step explanation:

Negative numbers, fractions, and decimals are neither natural numbers nor whole numbers. N is closed, associative, and commutative under both addition and multiplication (but not under subtraction and division).

please be super quick 3 minutessssss

Answers

Answer:

im pretty sure its B

Step-by-step explanation:

I THINK SOOO AHH

Pa help po plis papasa na daw po bukas

Answers

Answer:

Step-by-step explanation:

if wrong sorry

and pls give brainliest

I don’t wanna fail if you know the answer pls tell me

Answers

0.12 is the correct answer

which reason could be used for statement 3??

Answers

Option 3, definition of congruent segments is the answer I'm pretty sure

eduardo took a survey to find out how many students in his school have a pet, there are 1,000 students in the school. 20% of them have a pet how many students in eduardo's school have a pet. help

Answers

Answer:

200

Step-by-step explanation:

dude ur in college how do you not know this?

Find the length of the shorter leg of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.

Answers

Step-by-step explanation:

of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.

WILL MARK BRAINLIEST AND 50 PTS This table shows the minutes students spent studying for their science exam and the scores they received. SHOW YOUR WORK

Study time (min) 19 12 34 10 17 42 60 15 9 21 30 50
Exam score 82 78 90 78 85 97 100 85 73 90 91 98
Use a graphing calculator to model the data using a linear function.

What is the correlation coefficient of the data?

−0.74

−0.48

0.93

0.98

Answers

Answer:

The answer is 0.93

Step-by-step explanation:

I took the test

Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.

Answers

nothing yw listen to your teacher

Anyone can solve theses questions for me?

Answers

Answer:

4. Ty 5. Store A

Step-by-step explanation:

4. 750/3 is 250, 800/4 is 200, and 950/5 is 190 so i think it would be Ty

Andre Rick Ty

5. for Store A- 4 pairs of jeans is $120 so if you divide that which is 120/4 it gives you 30 so it would mean your paying $30 for each pair of jeans

for Store B- 2 pairs of jeans will cost you $100 so if you add 50+50 it gives you a hundred so it means your paying $50 for each pair of jeans

for Store C- 3 pairs of jeans is $99 so if you divide 99/3 its 33 which means you would be paying $33 dollars for each pair of jeans

so out of all of then Store A gives you the best deal.

******Please help me please help me help please help*****

A.
B.

Answers

Answer:

The answer would be A

Step-by-step explanation:

If you were to divide 36 by 5 you would be finding how many calories are in 1/5 of a bar.

Plz hurry I really need the answer… like now

Answers

Answer:

2700 square feet

Step-by-step explanation:

5+4=9x300=2700

CAN Someone PLS HELP ME PLSSSSSSSSSSSS

Answers

Answer: where is the rest of the problem

Step-by-step explanation:

-$107.85

A fair die is rolled 10 times, what is the probability to get 4 ones.

Answers

Answer:

7/128

Step-by-step explanation:

1.
15% of what number is 45?

Answers

Answer:

15% of 300 is 45

Answer:

300

Step-by-step explanation:

I have more questions then this

Answers

Answer:

maybe 3 option

Step-by-step explanation:

hope helpful

have a great day

what is the approximate length of segment PR?
25
11
125
18

Answers

Answer:

correct me if I'm wrong❌

How do i solve this?????

Answers

Answer:

Step-by-step explanation:

Someone please please help!

Answers

Answer:

Step-by-step explanation:

After the given, you need another pair of congruent angles to prove the triangles congruent by AAS. Those angles you need are vertical angles, so they are congruent.

Answer: C.

I keep getting D wrong

Answers

Answer:

The amount is $18548.38 and the interest is $2548.38

Steps for solution:

First you want to use the formula A=P(1+[tex]\frac{r}{n}[/tex])^n*t. A= total amount, P= principle or amount of money deposited, r= annual interest rate, n= number of times compounded per year. and t= time in years. In the problem we have P= $16000, r= 3%, n= 1 and t= 5 years. The first picture is the formula used to find the total amount. After we use the formula A=P+I, since A=18548.38 and P=16000. The second picture represents the interest after 5 years.

If the formula is D=M/V and we know D=2.70 and V=60 how to we solve for M?

Answers

Answer:

d=140

v=60

140.60=8400 its m

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