All categories

3 years ago

Solve the following inequality: 2. 4x + 6 < 38

Mathematics

1 answer:

seraphim [82]3 years ago

5 0

Answer- x<8

Solutions

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

4*x+6-(38)<0

Step by step solution :

STEP

Pulling out like terms

1.1 Pull out like factors :

4x - 32 = 4 • (x - 8)

Equation at the end of step

STEP

2.1 Divide both sides by 4

Solve Basic Inequality :

2.2 Add 8 to both sides

x < 8

You might be interested in

Eric took out an 80/20 mortgage to buy a house costing $175,000. The first (80%) mortgage has an interest rate of 4.75%, and the

Serhud [2]

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

The principle amount is $175000

80% of 175000 is = $0.8\times175000$ = $140000

20% of 175000 is = $0.2\times175000$ = $35000

Emi formula is :

$\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }$

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = $30*12=360$

Putting values in formula we get

$\frac{140000\times0.00395\times(1.00395)^{360} }{(1.00395)^{360}-1 }$

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = $30*12=360$

Putting values in formula we get

$\frac{35000\times0.00627\times(1.00627)^{360} }{(1.00627)^{360}-1 }$

= $245.301

Adding both the monthly payments:

$729.508+245.301=974.809$ dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be =

$975.63\times12\times30=351226.80$ dollars

5 0

3 years ago

Evaluate the expression 4 ÷ 2 + 52.

ch4aika [34]

Answer:

Step-by-step explanation:

4 ÷ 2 + 52

Order of operation

= 2 + 52

= 54

5 0

3 years ago

Read 2 more answers

Which choice is equivalent to the product below?<br> Square root 2 • square root 3 • square root 8

SIZIF [17.4K]

That would be simplified into

1.41 • 1.73 • 2.82 = 6.9

i don’t know what the choices are bc you didn’t put them but hopefully this does someone some good <3

7 0

3 years ago

Two thirds a number plus 4 is 7

Sergio039 [100]

(2/3)x+4= 7

Subtract 4 from both sides
(2/3)x= 3

Divide both sides by 2/3. To divide by a fraction, multiply the first number by the reciprocal of the second.
3*3/2= 9/2

Final answer: 9/2 or 4.5

7 0

3 years ago

What is the range of the function represented by these ordered pairs?

Finger [1]

Answer:

Choice 2

Step-by-step explanation:

Range is talking about the y value of the coordinates. Choice 2 has all the y value in the function

6 0

3 years ago