graph the solution on the number line x+8 ≥ 5

Answers

Answer 1

Answer:

For the inequality to be true, both factors must have the same sign or one factor must be 0. The zeroes occur at x = − 2 , x = 5 . Thus, our intervals will be ( − ∞ , − 2 ] , [ − 2 , 5 ] , [ 5 , ∞ ) Take a sample point from each. A sample point of − 3 for the first interval yields ( − 3 + 2 ) ( − 3 − 5 ) = ( − 1 ) ( − 8 ) = 8 , so the first interval satisfies the inequality. Choosing a sample point of x = 0 for the second interval, we receive ( 2 ) ( − 5 ) = − 10 , so this interval will not satisfy the equality. A sample point of x = 6 for the third interval gives us ( 8 ) ( 1 ) = 8 , so the third interval satisfies. Thus, the domain that satisfies the inequality is ( ∞ , − 2 ] & [ 5 , ∞ ) On the number line , you would draw and fill in a circle above -2, and draw an arrow from that point to the left. You would then draw and fill in a circle above 5, and provide a similar arrow to the right (i.e. towards positive infinity). We fill in these circles because the intervals are closed at these points, i.e. these points satisfy the inequality. If we instead had ( x + 2 ) ( x − 5 ) > 0 , the circles would be empty because those points would not satisfy.


Related Questions

x2 + 7x + 12
What is the answer someone please help

Answers

Answer:

(x + 3) (x + 4)

Triangle ABC is similar to Triangle PQR what is the value of X in centimeters

Answers

Answer:

x=19.5cm

Step-by-step explanation:

15÷10= 1.5

13x1.5

=19.5cm

Calculate the distance traveled when moving at a rate
of 60mph for 3.5hrs.

Sentence Answer

Answers

Answer:

The distance traveled when moving at a rate of 60mph for 3.5 hours is 210 miles.

Hope this helped!

Which number is a solution for the
8.
inequality below?
3n< 18

Answers

What 8?

There is no 8 in the problem.

The answer is not a specific value for n.

3n < 18

Divide both sides by 3.

3n/3 < 18/3

n < 6

ANSWER: n < 6

What does the answer mean?

It means that n must be less than 6 to make the original inequality a true statement.

Please please help hurry Name each angle in four way ascent cost for the angle is acute right obtuse or straight

Answers

1. ABC , CBA, B, 4 Make sure to put Angle sign or Angle in Front !
Acute Angle

2. DEF, FED, E, 5
Right Angle

3. MNP, PNM, N, 1
Obtuse Angle

Given that
y
= 8 cm and
θ
= 34°, work out
x
rounded to 1 DP.

Answers

Answer:

Step-by-step explanation:

if y is hypotonuse and x is opposite side:

sin 34=x/8

8*sin 34=x

x=4.47 (3 sf)

tell me in comment if i interpreted question wrong ._.

PLS HELP ME PLS I WILL GIVE BRIANLIEST

Answers

Answer: BC/BF & M<C

Step-by-step explanation:

Find the volume of the cone. Use 3.14 for pi.

Answers

Answer:

V≈157.08

Step-by-step explanation:

I hope this helps

WHAT WOULD THIS BEE!

Answers

Answer: 98

Why? The angle is alternate exterior angle making it even to the angle labeled 98

Answer:

98

Step-by-step explanation:

It would be the same amount because when the lines are parallel, the corresponding angles will also be the same.  

We can tell the difference between the two types of angles (Supplementary and complementary) 98 and 82 would be the two types of angles.

So, the angle measure would be 98.

For Problems 11-12, expand the expressions using the Distributive Property. Then simplify the expressions. 12. 9(3y-5) ​

Answers

Answer:

27y-45

Step-by-step explanation:

9(3y-5)=27y-45

The sum of two numbers is x If one of the numbers is 12, what is the other?
12 x
12- *
12 + x
x-12

Answers

X-12 will give the other number
What they said, x-12

(-2, 3), (3, -2), (1, 3), (0, -2)
DOMAIN
RANGE

Answers

Answer:

(-2, 3) = domain -2 = range 3

(3, -2) = domain 3 = range -2

(1, 3), = domain 1 = range 3

(0, -2) = domain 0 = range -2

Step-by-step explanation:

Tina makes 480 sandwiches. She only makes tuna sandwiches, beef sandwiches, ham sandwiches and cheese sandwiches

Answers

Answer:

she will have 120 each sandwich

Step-by-step explanation:

Pls help due like- right on
Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few shirts that cost $13 each.

What is the maximum number of shirts she can buy?

Answers

Answer:

Step-by-step explanation:

3 shirts

If Sam drives his car 171 miles in 9 hours, what is his speed​

Answers

171/9=19mph hope it helps

What is perimeter of the semi circle?

Answers

Answer:

54.22 mm

Step-by-step explanation:

Find the circumference of the circle and then divide it by 2.

We start with the formula for the circumference for the circle:

C = 2πr

To find r, divide 22 by 2:

22/2=11

Now find the cicumference:

C = 2πr = 2(3.14)(11) = 108.46 mm

NOW, to find the perimeter of the semicircle, divide the circumference by 2:

108.46/2 = 54.22 mm

2. Factorise : (i) 9x² + y² + 64 - 6xy +16y - 48x​

Answers

Answer:

9x² + y² + 64 - 6xy - 16y - 48x

= 9x² - 6xy - 48x + y² - 16y + 64

= 9x² - 6x(y - 8) + y² - 2.8y + 8²

= (3x)² - 6x(y - 8) + (y - 8)²

= [3x - (y - 8)]²

= (3x - y + 8)²

Step-by-step explanation:

What is a, the initial amount, for the function: f(x) = 300(1.16)*?

Answers

Answer:   300

====================================================

Explanation:

One general template of exponential functions is

f(x) = a*(b)^x

The 'a' is the initial amount, which in this case is a = 300

----------------------

Extra info:

The b is the base of the exponential, which is b = 1.16

The value of b is helpful to determine if you have exponential growth or decay, and how much of either. Because b = 1.16 is greater than 1, it indicates exponential growth. The rate of growth is found by solving 1+r = 1.16 to get r = 0.16, which leads to 16% growth.

Please help!! Im being timed SEE BELOW!!

Answers

Answer:

The answer is

15=B

16=C

17=D

18=B

19=D

20=D

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

silvia compro la misma licuadora que daniela, que costaba $355.5, pero como abonó con tarjeta de credito, le recargaron un 16%, ¿cuanto pago silvia? ​

Answers

Answer:

Costo final= $412.38

Step-by-step explanation:

Dada la siguiente información:

Costo inicial= $355.5

Recargo de la tarjeta= 16% = 0.16

Para calcular el costo final que debe pagar Silvia, debemos usar la siguiente información:

Costo final= costo inicial*(1 + recargo)

Costo final= 355.5*1.16

Costo final= $412.38

hey what's
[tex]3 {}^{2} - 2 {}^{2} [/tex]

Answers

Answer:

5

Step-by-step explanation:

3² - 2² = 9 - 4 = 5

Answer:

5 is the answer

Step-by-step explanation:

hope it helps

the nth term of a sequence is n+7
work out the 10th term

Answers

Answer:

17

Step-by-step explanation:

Substitute n = 10 into the n th term rule, that is

a₁₀ = 10 + 7 = 17

You have to replace the nth term which is given as 10

10+7=17

Answer:17

pls help
will mark brainliest to who answers first

Answers

Answer:

y=10

x=10

Step-by-step explanation:

THis is isosceles triangle

180-90-45=45

used pyagorous therum thingy

10over2= square root of 200

so c2=asquare X b squared in this case x=y

so 200/2 = 100

x=100square

y=100 square

simplify = 10

The circumference of a circle is the around it?

Answers

Answer:

Yes

Step-by-step explanation:

(8c+8)–(c+3)
answer-

Answers

Answer:

7c + 5

Step-by-step explanation:

(8c+8)–(c+3)

8c - c = 7c

8 - + 3 = 5

7c + 5

Answer:

7c+5

Step-by-step explanation:

(8c+8)-(c+3)

8c+8-c-3

8c-c+8-3

7c+8-3

7c+5

A right rectangular prism has a volume of
[tex] {6x}^{3} - {3x}^{2} - 45x[/tex]
What are expressions for the length, width, and height?​

Answers

Answer:

3x, 2x + 5, and x - 3

Step-by-step explanation:

Since the given figure is a 3-dimensional shape, we know that there must be three zeroes.

Our equation is:

6x³ - 3x² - 45x

First, we can factor out an x:

x (6x² - 3x - 45)

From here, we can see that by factoring out a 3:

3x (2x² - x - 15)

Now, after completing the square and factoring:

3x (2x + 5) (x - 3)

These are our three expressions.

A parallelogram has a height of 14 in and a base
that is 2 in long. What is the area of this
parallelogram?

HURRY PLEASE

Answers

Answer:

28 in^2

Step-by-step explanation:

Given,

Height of the parallelogram = 14 in

Base of the parallelogram = 2 in

Therefore, area of the parallelogram = base × height

= 2 in × 14 in

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 28 {in}^{2} (ans)[/tex]

A road roller with a 55-inch
diameter is traveling at
3 miles per hour. How many
revolutions per minute is
the roller turning? Round
your answer to the
nearest tenth

Answers

Answer:

18.34times

Step-by-step explanation:

the explanation is given in the pictures...

The road roller is turning at the rate of [tex]18.3rev/minute[/tex]

To get our answer, first note that

[tex]speed=\dfrac{distance}{time}[/tex]

since the distance travelled by the road roller can be gotten by

[tex]distance= circumference\times revolutions[/tex]

our speed formula can be expressed as

[tex]speed=\dfrac{circumference\times revolutions}{time}[/tex]

making the number of revolutions the subject of the formula, we get

[tex]revolutions=\dfrac{speed \times time}{circumference}[/tex]

carrying out the following substitutions

[tex]speed=3miles/hour=\frac{3\times63360}{60}inches/minute=3168inches/minute\\time=1minute\\circumference=2\times3.14\times\frac{55}{2}=172.7inches[/tex]

we can now calculate the number of revolutions

[tex]revolutions=\dfrac{speed\times time}{circumference}\\\\=\dfrac{3168\times 1}{172.7}\approx18.3rev/minute\text{ (to the nearest tenth)}\\\\[/tex]

Learn more about circumference of circles here https://brainly.com/question/5688156

HELP WILL MARK BRAINLIEST

Answers

It’s Tuesday since she goes every 4 days and him every 5

Which expressions are equivalent to 7(3/4 x -3)?

Answers

The answer is number two
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