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lions [1.4K]
3 years ago
7

How would you graph the solution set of x - 6 < -3?

Mathematics
1 answer:
igomit [66]3 years ago
3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x-6 < -3

Solve for x

Adds 6 both sides

x-6+6 < -3+6

x < 3

The solution is the interval (-∞,3)

All real numbers less than 3

In a number line the solution is the shaded area at left of x=3 (open circle)

The number 3 is not included in the solution

see the attached figure to better understand the problem

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Solve F(x) for the given domain.<br>F(x) = x² + 3x - 2<br>F(3)=____<br>a. 13<br>b. 16<br>C. 40​
Llana [10]

Answer:

B. 16

Step-by-step explanation:

F(3) means we must plug the number "3" into the equation for each x.

(3)^2 + 3(3) -2

9 + 9 - 2

16

5 0
3 years ago
Read 2 more answers
Someone please help me!!!
djyliett [7]

Answer:

A 34

Step-by-step explanation:

The measure of the angle is 1/2 the measure of the larger arc - 1/2 the measure of the smaller arc

VXY = 1/2( VZ - WY)

        = 1/2( 93-25)

        =1/2 (68)

         =34

5 0
3 years ago
Given: XZ bisects ZYXW<br> and ZYZW<br> Prove: AXYZ 2 AXWZ
Rudiy27

Answer:

Step-by-step explanation:

Top Problem:

Reason:

1. Given

2. Definition of segment bisector ( segment bisector is a line, ray or segment that divides a segment into to congruent segments)

3. Vertical angles are congruent

4. SAS (Side ZP≅XP Angle ZPY ≅ WPX  Side WP≅YP)

Bottom Problem

Reason:

1. Given

2. Definition of angle bisector ( an angle bisector is a line, ray or line segment that divides an angle in two congruent angles)

3. Definition of angle bisector

4. Reflexive Property ( a line segment is congruent with itself)

5. ASA (Angle Side Angle Theorem of Congruency)

5 0
2 years ago
The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of
Ipatiy [6.2K]

Answer:

a) 0.4121

b) $588

Step-by-step explanation:

Mean μ = $633

Standard deviation σ = $45.

Required:

a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?

We solve using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = $646

z = 646 - 633/45

z = 0.22222

Probability value from Z-Table:

P(x<646) = 0.58793

P(x>646) = 1 - P(x<646) = 0.41207

≈ 0.4121

b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)

Converting 0.16 to percentage = 0.16 × 100% = 16%

The z score of 16%

= -0.994

We are to find x

Using z score formula

z = (x-μ)/σ

-0.994 = x - 633/45

Cross Multiply

-0.994 × 45 = x - 633

-44.73 = x - 633

x = -44.73 + 633

x = $588.27

Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16

is $588

7 0
3 years ago
What can you factor out of 2x^2-4x+8
Sunny_sXe [5.5K]

Answer: 2(x^2-2x+4)

Step-by-step explanation:

You can factour out 2:

2(x^2-2x+4)

7 0
3 years ago
Read 2 more answers
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