What are the roots of the equation? x^2 − x − 42 = 0 Enter your answers in the boxes. X= X=

Answer:

a shaded region below a dashed boundary line

Step-by-step explanation:

this inequality uses the "less than" symbol (<), so we will use a dashed line because we are not including the values on the line

plug in (0,0) to see if we are shading above or below the line

0 < -1/2(0) + 5

0 < 5

this is true, so we will shade in the side that the point (0,0) is located, which is below the line (we know this because the inequality has a y intercept of 5)

Answer:

There were (4x + 2) grapes in the bowl

Step-by-step explanation:

Here, we are interested in calculating the total number of grapes in the bowl.

We have 3 people sharing the total

Damien are x grapes

Jake ate 1 more than twice what Damien and that is (1 + 2x) grapes

Makayla ate 5 fewer grapes than Damien: So what Makayla ate is (x-5) grapes

And now, we have 6 grapes left.

To find the total number of grapes in the bowl, we need to add up all what they ate plus what is left.

Mathematically, that would be;

x + 1 + 2x + x -5 + 6

= 4x + 2

Answer:

Write 400% as the ratio 400/100. To find an equivalent ratio, you know that 400 divided by 20 is 20, so 100 divided by 20 will give you the answer. 100 ÷ 20 = 5. Reza ate 5 grapes yesterday.

Step-by-step explanation:

Sample Answer

Answer:

1) 244.92cm  2) 188.68 km  3) 3m

Step-by-step explanation:

1) We are finding the circumference of the basketball in this situation. C=pi(d), d=diameter, C=circumference. So, C= 3.14(78), and finally C= 244.92 cm.

2) We can begin to approach this problem by finding how far each car has traveled over 2 hours. The car heading north is going 50 km/h, so for two hours it has covered 100 kilometers. The car going west is at 80 km/h, so for two hours it has covered 160 kilometers. Now, we could draw this as a right triangle, with one leg being the north-headed car 100 km away from the start, and the other leg being the west moving car 160 km away from the start. The hypotenuse represents the distance between them. Now we use the pythagorean theorem! north car is a, west car is b. a^2+b^2=c^2. 100^2+160^2=c^2. 35600=c^2. take the square root of both sides for c=188.68. The distance between the two cars is approx 188.68 km.

3) `This situation can be represented as a right triangle. The height of the tree, 4m, is the height of the triangle, and the wire, 5m, is the hypotenuse. We are trying to find one of the legs, which represents the ground to the base of the tree. In the pythagorean theorem, we have a^2 and c^2, and just need to find b^2. Let's plug it into the equation:

4^2+b^2=5^2

16+b^2= 25

b^2=9

b=3

hope this helped it took a long time to explain it all! :)

Hey there! :)

Answer:

B, they are the same line.

Step-by-step explanation:

Begin by converting each equation to slope-intercept form to make it easier to see the relationship:

-3x - 4y = 1

-4y = 3x + 1

y = -3/4x - 1/4

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

-6x - 8y = 2

-8y = 6x + 2

y = -3/4x - 1/4

The lines are the same. Therefore, B is the correct choice.

Answer: 200 in

Step-by-step explanation:

Try to split up the face into pieces. You can make the first piece the square on the top. Only, you don't know the value of the bottom side, but you can see that it is 10 (if you look at the top at the back). So, if you do your multiplication, 10 x 10 = 100. So, that is the area of the first square. The next square also has a width and height of 10, (10 on the bottom, and follow the side to the other 10). Do the multiplication again (same as above) and get 100. Now that you have the area of the two pieces, you add then together: 100+100=200

Please feel free to let me know if you have any questions!

Answer: The yellow face has an area of 200 in^2

Step-by-step explanation:

The height of each of the two square areas is 10 in. The width is 10. A=w × h

10 × 10 = 100. Times 2 for the total for the yellow face.

Don't be confused by the 5-inch offset.

Answer: A

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

A and B are the legs of the triangle, and c is the hypotenuse. A would make the most sense.

The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.

" In a right angled triangle the square of the hypotenuse is equals to the sum of the square of the other two sides of the right angled triangle."

According to the question,

As per the Pythagoras theorem ,

(Hypotenuse)² = (Adjacent side)² + ( opposite side)²

Hence, we conclude that Option A is correct.

Learn more about Pythagoras theorem here

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Answer:

x ≥ $17, 500

Step-by-step explanation:

To find the cost of the next year model, we will follow the steps below;

Let x be the value of next year's model

$14000 ≤ 80% of  x

80% of  x ≥  $14000

80% × x ≥$14000

80x/100    ≥  $14000

multiply both-side of the equation by 100

80x ≥  $1400000

Divide both-side of the inequality by 80

80x /80 ≥ $1400000 / 80

x ≥ $17, 500

Therefore the cost of next year's model is

x≥$17, 500

Answer:

C) 0.41

Step-by-step explanation:

Total number of possible outcomes = 34

Prime numbers from 6 to 40= 13

7,11,13,15,17,19,23,29,31,33,35,37,39

Cube number between 6 to 40 = 1

3x3x3=27

No of prime numbers + cube numbers = 14

Probability [tex]\frac{14}{34} =0.41[/tex]

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

Answer:

Here you go mate!

Step-by-step explanation:

Answer:

x = 6 or x = -2

Step-by-step explanation:

Solve for x:

(x - 6)^2 (x + 2)^2 = 0

Split into two equations:

(x - 6)^2 = 0 or (x + 2)^2 = 0

Take the square root of both sides:

x - 6 = 0 or (x + 2)^2 = 0

Add 6 to both sides:

x = 6 or (x + 2)^2 = 0

Take the square root of both sides:

x = 6 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = -2

Answer:

It is 4 on Edgenuity

Step-by-step explanation:

I took the test

Step-by-step explanation:

[tex] \sqrt[3]{8} = 2 \\ \sqrt{9} = 3[/tex]

so between 2 and 3

you can say:

2.1

2.2

2.3

2.4

2.5

2.6

2.7

2.8

2.9

2.22

2.1875838

2.7583883

Answer:

25 degrees

Step-by-step explanation:

In the picture attached, the lines and the angles are shown. There we can see that:

85° + 2x° + (x-10)° = 180°

75 + 3x = 180

x = (180 - 75)/3

x = 35°

∠3 and ∠(x-10)° are alternate interior angles, therefore they are congruent, so:

∠3 = x - 10

∠3 = 35 - 10

∠3 = 25°

Answer:

a

Step-by-step explanation:

edge 2020

Answer:

 OR = √65

Step-by-step explanation:

M and N are the midpoints of their respective sides, so O is the centroid of the triangle. That means ...

  ON = QN/3 = 12/3 = 4

By the Pythagorean theorem, ...

  OR² = NR² +ON²

  OR² = 7² +4² = 65

  OR = √65

Answer: The number of different ways (orders) she can add these fruits to her blender = 24

Step-by-step explanation:

Given, Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach.

i.e. Total fruits = 4

The number of ways to order n things = n!

Therefore, the number of different ways (orders) she can add these fruits to her blender = 4!

= 4 x 3 x 2 x 1

= 24

Hence, the number of different ways (orders) she can add these fruits to her blender = 24

Answer:

the correct answere is actully 120 ways.

Step-by-step explanation:

Hey there! :)

Answer:

x ≤ 3

Step-by-step explanation:

Given:

4x + 6 ≤ 18

Subtract 6 from both sides:

4x ≤ 12

Divide both sides by 4:

4x/4 ≤ 12/4

x ≤ 3

Step-by-step explanation:

4x+6 <_ 18

-6 -6

4x <_ 12

Divide 4 both sides by 4

Therefore, x is less than or equal to 3

Answer:

  see the attachment

Step-by-step explanation:

We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).

Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.

That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".

The simulation of 70 different choices of a random class is shown in the attachment.

_____

Comment on the question

IMO, the use of 70 trials is coincidentally the same number as the first 70 days of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.

Answer:

D,

Method:              

Roll, pick, and replace a marble 70 times      

Count number of times...

Roll Greater than 2 AND pick a yellow marble

Step-by-step explanation:

Well first of all, I wouldn't leech, and second of all, this is a game of trust.

lol

jk

I know this is correct due to probability calculations,

You know there is a 1/5 probability chance of getting a yellow marble, and there are 5 days that the school goes off of.

You also know that you can get 3, 4, 5, or 6 on the dice (as long as it is fair) and that would be 4/6 of a chance or 2/3.

The experiments are on 2/3 of the 70 days, and there are 5 school days per week.

Kinda of a no-brainer if you understand how this kinda works.

Hope this helps!

Hopefully this explains this question where you can understand!

Answer:

A

Step-by-step explanation:

Answer:

the awnser is a

Step-by-step explanation:

Answer:

35.5

Step-by-step explanation:

got it right on edumentum

Answer:

Range of weight = 176 - 146 pound

Step-by-step explanation:

Given:

Maximum weight = 175 pound

Minimum weight = 145 pound

Clothes weight = 1 pound

Find:

Range of weight

Computation:

Range = maximum weight - 1 pound

Range = minimum weight + 1 pound

Range = 175 - 1 pound

Range = 145 + 1 pound

Range = 174

Range = 146

Range of weight = 176 - 146 pound

Answer:

18 : 3

Step-by-step explanation:

Basic proportionality question. All we need to here is to expression the given fractions ( [tex]11 \frac{2}{3}[/tex], and [tex]1 \frac{17}{18}[/tex] ) as a fraction itself, and hence expressing the ratio we need to get, in fraction form.

[tex]11 \frac{2}{3} / 1 \frac{17}{18}\\\\[/tex] - So, we have expressed this in a fraction, which we want to reduce

[tex]= \frac{35}{3} / \frac{35}{18}[/tex] - The fractions have been taken as improper fractions

[tex]\\\\= \frac{35}{3}( \frac{18}{35} )\\ \\[/tex] - Now we took the inverse fraction, through multiplication

[tex]= 18 / 3[/tex] - 35 and 35 cancel out, leaving us with the simplified fraction 18 / 3

_____

So now we have 18 / 3, the ratio in fraction form. The scale is thus 18 to 3, or in other words 18 : 3.

Hope that helps!

Answer:

Answer is (x+3)(x+2)

3 time 2 equal 6

While 3 plus 2 equal 5

plz mark brainliest if this helps!

Answer:

C. 60°

Step-by-step explanation:

Add the two given angles and subtract from 180°

Answer:

C.  60

Step-by-step explanation:

The total degrees in a triangle is 180.  Add up the given angles measures and subtract from 180 to find x.

52 + 68 + x = 180

120 + x = 180

x = 60

Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y=-1/2x + 1/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -1/2 and the y intercept is 1/4

12 quarters

hope i helped

Answer: 13 people (I think)

Step-by-step explanation:

I didn't use a set equation to solve the problem, but I added 1+2+3+4... (and so on) until I got a number that was over 100. When I got to 14, the number reached 105, meaning that 13 people were able to get the number of chocolates that they desired. The fourteenth person was short 5 chocolates.

Please feel free to ask me any further questions you have! Have a wonderful day!

Answer:

(0, - 2)

Step-by-step explanation:

The y-intercept of the rational function is (0, −2).

The statement "Solving absolute value inequalities requires solving compound inequalities" is False.

Absolute value inequalities and compound inequalities are two different types of inequalities, and solving them involves different methods. Here's a brief explanation:

Absolute value inequalities: An absolute value inequality involves an expression enclosed within absolute value symbols [tex](| |)[/tex].

To solve such an inequality, follow these steps:

Compound inequalities: A compound inequality consists of two or more inequalities joined by the logical operators "and" or "or."

To solve a compound inequality, follow these steps:

Therefore, solving absolute value inequalities does not require solving compound inequalities. These are distinct concepts in mathematics.

Learn more about compound inequalities here:

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Answer: 9 cm.

Step-by-step explanation:

You are given that increase in snow level are recorded with positive numbers while it is recorded with negative number when it is decreasing.

The initial depth of the snow is 10 cm

The rate = 1/3 cm/h

Time t = 3 hours

Using the formula

Rate = depth / time

Substitute the rate and the time into the formula

1/3 = depth/3

Cross multiply

Depth = 3 × 1/3

Depth = 1 cm

The depth of the snow on Cherry street after 3 hours will be

10cm - 1 cm = 9 cm.