Mathematics High School

3⎜x + 4⎟ + 2 ≥ 5

plS

Answers

Answer 1

Step-by-step explanation:

3×|x + 4| + 2 >= 5

you handle this basically like an equation :

3×|x + 4| >= 3

|x + 4| >= 1

because of the absolute value we have 2 solutions for that :

x + 4 = 1

and

x + 4 = -1

as in both cases the absolute value turns the result into 1.

so,

x + 4 = 1

x = -3

x + 4 = -1

x = -5

so, to satisfy the inequality

x >= -3 or x <= -5

please consider : if the inequality would have been > instead of >=, we would have had to use > and < for the solution.

Related Questions

At a restaurant your total bill is $45. Sales tax is 5%. What is your total bill after tax?

Answers

2.25 is the answer to your question

Answer:

47.25

Step-by-step explanation:

Heres how I found the answer:

if sales tax is 5%, then we need to find 5% of 45 and add it to 45!

5% of 45= 2.25

(I found this by doing 45*5%, or 45*.05)

Now, add 2.25 to 45!

Total bill=47.25 dollars

Hope I could help!

2. Let f(x) = 4x + 12 and g(x) = 4x2 – 12.

(a) What is the inverse of function f?

(b) Is f an inverse of g? Show your work algebraically and explain your answer

Answer:​

Answers

Answer:

  (a) f^-1(x) = 1/4x -3

  (b) f is not the inverse of g

Step-by-step explanation:

(a)

The inverse of function f can be found by solving ...

  x = f(y)

  x = 4y +12

  x -12 = 4y

  x/4 -3 = y

The inverse of function f is ...

  f^-1(x) = 1/4x -3

__

(b)

g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.

_____

Additional comment

Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.

Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.

Hey y’all can u please give me the correct answer.

Answers

Step-by-step explanation:

-8 - 6x < 1

Bringing like terms on one side

-6x < 1 + 8

-6x < 9

x < 9/-6

x < 3/-2

I think the correct answer is none

Dan made 85% of his free throws. If he took 45 shots how many did he make?

Answers

Answer:

38

Step-by-step explanation:

85%=.85

So 45 × .85 = 38.25

38 shots he made.

Hope this helps

Answer:  38

Work Shown:

85% = 85/100 = 0.85

85% of 45 = 0.85*45 = 38.25

Rounding to the nearest whole number, we get the result 38

As a check, 38/45 = 0.8444 approximately which converts to 84.44% and that's fairly close to 85%. If we tried 39, then 39/45 = 0.8667 = 86.67% which is a bit too high.

plz help thank you so much thumbs up

Answers

Answer:

1. B - 12.5 miles per hour

2. A - 0.36 hours

Please Help I will vote Brainliest!
Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages in the book?
StartFraction 25 times 6 Over 100 times 6 EndFraction = StartFraction 150 Over 600 EndFraction
StartFraction 100 times 4 Over 25 times 4 EndFraction = StartFraction 400 Over 100 EndFraction
StartFraction 25 divided by 1 Over 150 divided by 1 EndFraction = StartFraction 25 Over 150 EndFraction
StartFraction 150 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 75 Over 50 EndFraction

Answers

Answer:

x = 600 pages

Step-by-step explanation:

Let the total books pages be x

Given that

Hank had read = 25% of x

25% of x = 150

=>  

Multiplying both sides by 4

=> x = 150 * 4

=> x = 600 pages

Step-by-step explanation:

There you go.

Answer:

C

Step-by-step explanation:

through: (3, 5), slope = 5/3
Explain please

Answers

Step-by-step explanation how to get answer:

Slope is Rise over Run

Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.

For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.

The perimeter of a rectangle is 18 inch. The length is three inches more than width. What is length?

Answers

Answer:

6 inches.

Step-by-step explanation:

If the width is x inches then the length is x + 3.

S0

Perimeter = 2x + 2(x +3)

18 = 2x + 2x + 6

4x = 18 - 6 = 12

x = 3.

So the length = 6 inches.

Perimetre = 18 inch

Let the width be x

length = x+3

Perimetre of rectangle = 2(length+width)

18 = 2[(x+3)+x]

18 = 2(2x+3)

18 = 4x+6

4x = 18 - 6

4x = 12

•°• x = 12/4 = 3

Length = x+3 = 3+3 = 6

•°• The length of rectangle is 6 inch.

1. For each incomplete expression, indicate the number that will result in the expression
being equal to 0.
Expression
2 -
3 +
4-
5+
6-
7+
Answer

Answers

Answer:

2-2=0, 3+(-3)=0, 4-4=0, 5+(-5)=0, 6-6=0, and 7+(-7)=0

Step-by-step explanation:

i have no idea what math this is or what its looking for so please comment how to improve the answer

write f(2)=3 in coordinate
form (x,y)

Answers

Answer:

Coordinate  form is [tex](x,y)=(2,3)[/tex]

Step-by-step explanation:

Usually the form is

[tex]f(x)=y[/tex]

Here

We have [tex]f(2)=3[/tex]

Hence [tex](x,y)=(2,3)[/tex]

A school bookstore has the following items for sale.

A sign that shows that a notebook costs 2 dollars and 89 cents, a pencil costs 79 cents, and a folder costs 1 dollar and 35 cents.

Part A
How much will Luke pay for 4 notebooks? Enter your answer in the box.

$
11.56


Part B
Traci uses partial products to find the cost of 14 pencils.

A piece of paper has the following text writte on it. 14 pencils at 79 cents each. 10 times 0.7 equals 7. 10 times 0.9 equals 9. 4 times 0.7 equals 2.8. 4 times 0.9 equals 3.6. 7 dollars plus 9 dollars plus 2 dollars and 80 cents plus 3 dollars and 60 cents equals 22 dollars and 40 cents.

Which explains whether or not Traci’s partial products are correct?



Traci's partial products are not correct. She should have multiplied 10 × 0.09 and 4 × 0.09. The actual cost is $11.06.



Traci's partial products are not correct. She should have multiplied 10 × 0.07 and 4 × 0.07. The actual cost is $13.58.



Traci's partial products are not correct. She should have multiplied 4 × 0.07 and 4 × 0.09. The actual cost is $16.64.



Traci's partial products are correct. The actual cost is $22.40.

Answers

It’s cost a total of 8 dollars

SHOW WORK PLS.
y = x ^ 2 - x - 11
y = - x - 7
solve by substitution!

Answers

X^2-x-11=-x-7
X^2-11=-7
X^2=4
X=2 (4 was reduced to 2 after the equation was square rooted)
Pls give brainliest so close to ranking up

In the image shown, line n is a transversal cutting parallel lines 1 and m. Angle 2= 2x+50 Angle 8= x+76. What is the measure of angle 2?
A. 102
B. 104
C.105
(there is no D btw :))

Answers

B 104 I just took that

Please help.
I) Determine the remainder when f(x)= 2x³+bx²+2x+5 is divided by x+1.

If the remainder when f(x) is divided by (x-2) is equal to the remainder in I) calculate the value of b.​

Answers

Here is the remainder for both. No the remainders are not equal.

what is the equation of a line that passes through the points (0,0) and (5,2)

Answers

Answer:

y = 2/5x

Step-by-step explanation:

in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:

y = mx + 0

in order to find the slope, we'll do y2-y1 / x2 - x1:

2-0

5-0

m is 2/5, so the answer is:

y = 2/5x

Write the inequality that represents the solution set to the given inequality below.

|x−3|<15

Group of answer choices

12 x>−18


−12>x>18

Answers

Answer:

-12 < x < 18

Step-by-step explanation:

x-3 < 15

x < 18

and

-x + 3 < 15

-x < 12

x > -12

SOLVE THIS ASAP PLEASE
(5 + 4 - 2) x (-2) = ?
A. 22
b. -22
c.14
d. -14

Answers

Answer: d. -14
First start with (5+4-2) and simplify to 7
Second multiply 7 x -2 and get -14

Simplify the expression
x - (-2x + 4)

Answers

I came up with my answer 3x - 4

Determine which have two variables that represent a proportional relationship. Explain your reasoning

Answers

Answer:

Step-by-step explanation:

Ok, so i cant really awnser all the questions on that page but a very important thing to know is that it is proportinal if the layout is y=mx.   the m is usually replaced with something else though. So for that first question, its proportianal. Try your best to turn those story problems into equations and then see if it matches the y = mx equation if not, its not

Two variables have a proportional relationship if all the ratios of the variables are equivalent.

Please help with my math! I need the answer quick! :( *It's been so long since I've done the math LOL*

Answers

Answer:

unit rate 1:8

Step-by-step explanation:

Help for brainliest plz

Answers

Answer:

oh uhm that is 3,4 <3

Step-by-step explanation:

It will be 3,4 that will be your answer

There are blue, red and white counters in a bag in the ratio 16 3 2 There are 112 more blue counters than white counters. How many white counters are there?

Answers

We will have 16 white counters in the bag.

Given that there are  blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:

Total = 16 + 3 + 2Total  = 21

If there are 112 more blue counters than white counters, then;

number of blues = number of white + 112

16x = 2x + 112

14x = 112

x = 8

Number of white counters = 2x = 2(8) = 16

Therefore we will have 16 white counters in the bag.

Learn more on ratios here: https://brainly.com/question/2914376

Please find the surface area of the prism... I will mark you brainliest

Answers

Answer: 1618 cm^2

The formula to find surface area of a cuboid is 2(ab + bc + ca)

2(19*3.5 + 3.5*33 + 33*19)

--> 1618

which option has the greater slope
A.y=3x+2
B the picture below

I REALLY NEED HELP ON THIS QUESTION I WILL MARK YOU BEAINLIEST!!!!​

Answers

Answer:

A. Y=3x+2

Step-by-step explanation:

Y=mx+c

m - slope coefficient of x

and so you can easily find the slope if you are asked directly like this seen in option A.

the picture has a value of X2=-3 , X1=3 & Y1=3 Y2= 1

m = Y2 - Y1 / X2 - X1 = 1-3/-3-3 = -2/-6 = 1/3.

as you can now see, the slope from the pic which is 1/3 is less than that of option A.

help me pls... ....

Answers

Step-by-step explanation:

A1

1 yard = 3 feet

1 foot = 12 inches

therefore,

100 yards = 100×3×12 inches = 3600 inches

A2

again, 1 yard = 3 feet

8 ft = 8/3 = 2.67 yards = 2 2/3 yards

A3

1 gallon = 8 pints

A4

1 liter = 1000 milliliters (remember, "mili" means 1/1000).

therefore,

2.2 liters = 2.2×1000 = 2200 milliliters

A5

again, 1 liter = 1000 milliliters

therefore

1 milliliter = 1/1000 liter

670 milliliters = 670 × 1/1000 liter = 670/1000 liter =

= 0.67 liter

B1

1 kg (kilogram) = 1000 grams ("kilo" means 1000).

we have 3 layers.

each layer weighs (cake plus icing)

1/2 kg + 100 g = 500 g + 100 g = 600 g

3 layers then weigh

3×600 g = 1800 g

the additional candle weighs 250 g.

so, the total is

1800 g + 250 g = 2050 g = 2.05 kg

B2

area is 110 m².

1 m = 100 cm ("centi" means 1/100).

and 1 m² is then 100×100 = 10000 cm².

so, the area in cm² is

110 × 10000 = 1,100,000 cm²

the top area of one brick = 10 × 20 = 200 cm²

so, we need

1,100,000 / 200 = 11,000 / 2 = 5500 bricks

Question
Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.

Answers

Answer:

y = m x + b equation of a straight line

m m' = -1    condition for perpendicular lines

If y = 4 x - 7     then m = 4 so m' = -.25

Y = -.25 X + A      we need to find A

A = Y + .25 * 8 = 2 + 2 = 4

Y = -.25 X + 4

Check:

2 = -.25 * 8 + 4 = -2 + 4 = 2

Plzzzz help meee plzzzzzzz

Answers

Answer:

the answer is d

Step-by-step explanation:

What is the perimeter of â–łJKL? 6 9. 5 11. 5 19.

Answers

The perimeter of the rectangle IJKL is 16units.

Since we are not given a diagram, we can assume the diagram is a rectangle IJKL with the following parameters:

Length = 3 units

Width = 5 units

The formula for finding the perimeter of a rectangle is expressed as:

P = 2(L + W)

Substitute the given values to have:

P = 2(3 + 5)

P = 2(8)

P = 16 units

Hence the perimeter of the rectangle IJKL is 16units.

Note that this formula is applicable to any rectangle given.

Learn about perimeter of shapes here: https://brainly.com/question/303508

Bub buys a t - shirt for $7.45. He pays with a $20 bill . How much change will he get

Answers

Answer:

12.55

Step-by-step explanation:

What is the slope of the following line?

Answers

the answer is y= - (1/2) x +2

Answer:

1/2

Step-by-step explanation:

becase 1(0,0) 2(2,1) = 1/2

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