#What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?

Discriminant = b2 – 4ac

–8
4
8
16

Answer:

69.08 inches

Step-by-step explanation:

Circumference = diameter x pi. In this case, diameter x 3.14.

diameter = 22

22 x 3.14 = 69.08 inches

Brainiest please!

Answer:

Step-by-step explanation:

Let's break this down. The secant of a negative angle is the same as the secant of the positive angle. This is because secant is the inverse of cosine, and cosine is an even function. f(-x) = f(x) if the function is even, and f(-x) = -f(x) if the function is odd. Sine is odd and has symmetry about the origin; cosine is even and has y-axis symmetry.

Therefore, sec(-θ) = sec(θ) and we have then

sec(θ) - cos(θ). Since secant is the inverse of cosine, we can write:

[tex]\frac{1}{cos\theta}-cos\theta[/tex] and finding a common denominator:

[tex]\frac{1-cos^2\theta}{cos\theta}[/tex] and using a trig identity:

[tex]\frac{sin^2\theta}{cos\theta}[/tex] and simplify that down a bit by breaking it up:

[tex]\frac{sin\theta}{cos\theta}*sin\theta[/tex] finally boils down to

tanθ · sinθ, the last choice there.

To find the missing number divide 364 by 7

364 / 7 = 52

The missing number is 52

Answer:

52

Step-by-step explanation:

In this equation, you would have to use inverse operations.

Since this equation is a multiplication equation, you need to do the opposite, division. So, 364 ÷ 7 = 52

Hope this helps! :)

Hi there! Hopefully this helps!

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It decreased by 30 cents per week.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The average rate of change is calculated as:

the ratio of the sum of the change in the three weeks divided by the number of weeks. (The number of weeks being 3)

 Rate of change = [tex]\frac{-60 -10 -20}{3}[/tex].

(-60 + -10 + -20 = -90). So, to simplify it:

[tex]\frac{-90}{3}[/tex] = -30

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Incase you are confused:

Since the average rate of change is negative, this means that the stock price has decreased.

Answer:

height of tree is 27 ft

Step-by-step explanation:

The corresponding parts of the problem are in proportion

let h be the height of the tree , then

[tex]\frac{6}{h}[/tex] = [tex]\frac{7}{31.5}[/tex] ( cross- multiply )

7h = 189 ( divide both sides by 7 )

h = 27

Height of tree is 27 feet

Answer: see explanation below

Step-by-step explanation:

A rational number terminates.

9.6 terminates at six-tenths.

Answer:-80

Step-by-step explanation:f(x)=2*2+4*-10

Answer:

9 tables

12 stools

Step-by-step explanation:

x= number of tables

x+3= number of stools

4x+3(x+3)=72

4x+3x+9=72

4x+3x=72-9

7x=63

x=9

So he built 9 tables and 12 stools

(9x4=36, 3X12=36, 36+36=72) CHECK

1. The equation is 18 = 3 × x

2. a) The independent variable is the of ounces of lemon juice in the lemonade

b) A = a × b

c) First quadrant

The procedure to find the above answers are presented here as follows;

1. The following is the table of values of the data

[tex]\begin{array}{ccc} Lemon \ juice \ ounces \ (x)& & Water \ in \ ounces \ (y)\\2&&6\\3&&9\\4&&12\\5&&15\end{array}[/tex]

The given data in the table shows that the Lemon juice ounces, x, and the Water in ounces, y, have a direct proportionality relationship which is given as follows;

y ∝ x

∴ y = k × x

Where;

k = The constant of proportionality

k = y/x

Therefore;

k = 6/2 = 9/3 = 12/4 = 15/5 = 3

k = 3

y = k × x

∴ y = 3 × x

Therefore;

The equation to represent how much lemon juice, x, is needed when Waheeda uses y = 18 ounces of water  is given by placing y = 18 in y = 3 × x as to get;

18 = 3 × x

∴ x = 18/3 = 6; 6 ounces of lemon juice is needed with 18 ounces of water

2. The independent variable is the input or causing variable that determines the output variable

Therefore, the independent variable is the number of ounces of lemon juice required to be mixed with a given number of ounce of water to make lemonade

b) Let a represent the selling price for a glass of lemonade, let b represent the number of glasses of lemonade she sells, and let A represent the amount she earns, we have;

A = a × b

c) The given x and y values in the data are both positive values, which indicate that the data would appear in the first quadrant

Learn more about dependent and independent variable here;

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Answer:

6:30 pm

Step-by-step explanation:

Given the following :

Four machines give out a signal at intervals of 24 seconds, 27 seconds, 30 seconds and 50 seconds respectively.

Time when all four machines gave out signal simultaneously = 5:00 pm

To find the time all four will give out the next simultaneous signal :

Take the lowest common factor of the four intervals :

L. C. M of 24, 27, 30, 50

Using the Lowest Common Multiple calculator :

L. C. M. = 5400

5400 seconds.

Adding 5400 seconds to the last time a simultaneous signal was produced :

5:00 pm + 5400 seconds

5400 seconds = (5400/60) = 90 minutes = 1hour 30 minutes

5:00 pm + (1 hour 30 minutes)

= 6:30 pm

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The expression (5·2)^x is evaluated by evaluating the expression in parentheses first. When you do that, you get 10^x.

  (5·2)^x ≡ 10^x

Answer:

1,195,742.25 (final answer since instructions did not include rounding up or anything)

Step-by-step explanation:

n = 4

The given expression is:

9^8 ÷ 9n

USE PEMDAS order of operations and solve:

9^8 ÷ 9n

= 43046721 ÷ 9n

Substitue n with 4 and solve:

43046721 ÷ 9(4)

= 43046721 ÷ 36

= 1,195,742.25

Answer:

9^4

Step-by-step explanation:

We know that a^b ÷ a^c = a^ (b-c)

9^8 ÷ 9^4

9^(8-4)

9^4

Answer:

80 feet

Step-by-step explanation:

1 inch represents 10 feet

Then 8 inches represent = 8 × 10

= 80 feet

Given the five number summary, christina has scored 70 marks which is equal to the median of the test scores, therefore about [tex]\frac{1}{2}[/tex] class scored higher than her and  [tex]\frac{1}{2}[/tex] class scored lower than her, making option (d) correct.

The five number summary is the descriptive summary of a data where in you are provided the lowest observation, first quartile, median, third quartile and the maximum observation.

Here, the first quartile is the observation which lies at a point in the ordered data that 25% observations are lesser than it and 75% are greater than it.

the median is the observation which lies at a point in the ordered data that 50% observations are lesser than it and 50% are greater than it.

the third quartile is the observation which lies at a point in the ordered data that 75% observations are lesser than it and 25% are greater than it.

As given in the data,

Christina's marks = 70

median marks = 70

christina's marks = median marks

therefore, by definition of median, about half class scored lower than christina and half more than her.  

Learn more about median here

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The complete question is given below:

Given the five number summary  as:

minimum = 2

first quartile = 50

median = 70

third quartile = 85

maximum = 96

Christina earned 70 on the test. Describe how the scores of Christina's

classmates compared to Christina's score.

A. about 1/4 scored higher, about 3/4 scored lower

B. about 314 scored higher, about 1/2 scored lower

C. about 3/4 scored higher, about 1/4 scored lower

D. about 1/2 scored higher, about 1/2 scored lower

Answer:

$556

Step-by-step explanation:

4+7+6+10+8=35

35x12=420

4x14=56

5x16=80

420+56+80=556

Answer:

$556.

Step-by-step explanation:

So she is paid $12 dollars for every bicycle assembled on a weekday,

paid $14 dollars for every bicycle assembled on Saturday, and is

paid $16 dollars for every bicycle assembled on Sunday.

She assembled 4 on Monday, 7 on Tuesday, 6 on Wednesday, 10 on Thursday, 8 on Friday, 4 on Saturday, and 5 on Sunday.

In other words, she assembled on total of 4+7+6+10+8=35 bicycles during the weekdays. And she assembled 4 on Saturday and 5 on Sunday.

In other words, her total pay is:

[tex]\$12(35)+\$14(4)+\$16(5)=\$556[/tex]

Answer:

No, 68.75% waited less than 30mins

I don't really know about the other one, but i tried my best, soooo sorry

soz

Hope that helped!!! k

Answer:

see below

Step-by-step explanation:

If the original dimensions of the tank are x, y, and z, the mock dimensions will be 1/6x, 1/6y and 1/6z. The volume of the original tank is x * y * z = xyz whereas the volume of the mock-up tank is 1/6x * 1/6y * 1/6z = 1/216 * xyz. Therefore, we know that the volume of the mock-up tank is 1/216 th of the original tank.

Answer:

is your answer how are you

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Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]3(x+7)-14=22[/tex]

Step 1: Simplify both sides of the equation.

[tex]3 ( x + 7 ) - 14 = 22\\(3)^(x) + (3) (7) + - 14 = 22[/tex] (Distribute)

[tex]3x + 21 + -14 = 22[/tex]

[tex]( 3x) + (21 + -14 ) = 22[/tex] (Combine Like Terms)

[tex]3x + 7 = 22\\3x + 7 = 22[/tex]

Step 2: Subtract 7 from both sides.

[tex]3x + 7 - 7 = 22 - 7 \\3x = 15[/tex]

Step 3: Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{15}{3} \\x = 5[/tex]

So your answer would be : [tex]\boxed {x = 5}[/tex]

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Have a great day/night!

❀*May*❀

Answer:

The answer is below

Step-by-step explanation:

The distance traveled the first day = Distance from San Jose to Santa Barbara = 320 mile.

The distance traveled the second day = Distance from Santa Barbara to Los Angeles.

But From San Jose to Los Angeles = 425 mile. Therefore:

Distance From San Jose to Los Angeles =  Distance from San Jose to Santa Barbara +  Distance from Santa Barbara to Los Angeles

425 = 320 +  Distance from Santa Barbara to Los Angeles.

Distance from Santa Barbara to Los Angeles = 425 - 320 = 105 mile

The distance traveled the second day = Distance from Santa Barbara to Los Angeles = 105 miles

The distance traveled the first day  + The distance traveled the second day = Distance from San Jose to Santa Barbara + Distance from Santa Barbara to Los Angeles = 320 + 105 = 425 miles

The distance traveled the first day  + The distance traveled the second day = 425 miles

According to the given information, the tape diagram shown in option C is correct.

Use the concept of inequality defined as:

An inequality is a mathematical statement that uses the inequality symbol to indicate the relationship between two expressions. Both sides of an inequality sign have different expressions.

Given that,

The cost per month = $52

The cost per gigabyte = $5

He wants to keep his bill at $75 per month.

According to the given information the inequality expression be:

52 + 5x ≤ 75

Since now let x = 3

The LHS be:

52 + 15  = 67 < 75

Therefore,

The correct combination be:

52 + 5 + 5 + 5 < 75

Hence,

The tape diagram shown in option C is correct.

To learn more about inequality visit:

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Answer:

3/8 cups.

Step-by-step explanation:

2 tablespoons of sugar = 1/16 * 2 = 1/8 cup of sugar.

1/2 cup = 4/8 cups.

So the extra sugar required = 4/8 - 1/8

= 3/8 cups.

Answer:

4) 3/8 cup

Step-by-step explanation:

1 table spoon = [tex]\frac{1}{16}[/tex] cup

2 table spoon = 2 * [tex]\frac{1}{16} = \frac{1}{8}[/tex] cup

Second recipe need (1/8) cup of sugar

First recipe need (1/2) cup of sugar

More amount of sugar need by first recipe= [tex]\frac{1}{2}-\frac{1}{8}[/tex]

            [tex]=\frac{1*4}{2*4}-\frac{1}{8}\\\\\\=\frac{4}{8}-\frac{1}{8}\\\\=\frac{3}{8}[/tex]

Answer:

2/3

Step-by-step explanation:

Bag A: WWB

Bag B: B

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

Explanation:

The given exterior angle 97 is adjacent to the interior angle 180-97 = 83. This is the base angle of the isosceles triangle. The other base angle is directly above it. The base angles are always opposite the congruent sides.

The missing interior angle (adjacent to the blue angle x) is unknown, so we'll call it angle y. This angle adds to the other two base angles (83 each) to get a sum of 180. Adding any three interior angles of a triangle always gets you 180

y+83+83 = 180

y+166 = 180

y = 180-166

y = 14

Angle x and y are supplementary. They form a 180 degree angle

x+y = 180

x = 180-y

x = 180-14

x = 166

As you can see, the base angles combine to form the exterior angle we're after. This is because of the remote interior angle theorem.

Answer:

400 meters

0 meters if the puppy can jump really really far ha ha ....

P = 10000x - 100

T = 8000x

10000x - 100 = 8000x  

2000x =  100

x = 1/20 hr

60/20 = 3 minutes

Step-by-step explanation:

Answer:

x=50

Step-by-step explanation:

Let's look at the red angle. if a flat line makes the angle 180, and the outer angle is 120, subtract 120 from 180. This will give you 60. Now every angle of a triangle added together will give you the sum of 180. So you already have 60 and 70, which make 130 all together. Subract 130 from 180 - (180-130) - and you'll get the result of 50.

The solution is :  the measure of the missing angle X is x=50.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Let's look at the red angle.

if a flat line makes the angle 180, and the outer angle is 120,

subtract 120 from 180.

This will give you 60.

Now every angle of a triangle added together will give you the sum of 180.

So you already have 60 and 70,

which make 130 all together.

Subtract 130 from 180

i.e. (180-130) = 50

and we get the result of 50.

Hence, The solution is :  the measure of the missing angle X is x=50.

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Answer:

the floor area of the production line =20000 m^2

Step-by-step explanation:

From the question we were told two thirds of the floor of the factory is taken up by the production line.

If we denote the total area of the factory as "y" then

the Area of the production line can be express algebraically as

2/3 × y = 2y/3

The rest of floor area of warehouse space will be

y- 2y/3 = y/3

From the rest of floor area, we were told three fifths is taken up by the office space, then this office space's area can be expressed in m^3 as

3/5 × y/3 = y/5

The remaining space left will now be for

warehouse, by we were given warehouse space omas 2000m^2.

Then from here we can get value of y

2y/15 = 2000

2y = (2000×15)

2y= 30000

y= 15000m^2

Therefore, the floor area of the production line can be expressed as

(2 ×30000)/3

= 20000 m^2

Quit easily done!

Answer:

41.4 kgs

Step-by-step explanation:

Take the number of bags times the weight of each bag

6 * 6.9

41.4 kgs

Answer:

41.4 kilograms of sugar

Step-by-step explanation:

its 41.4 kilograms of sugar because you take the 6 bags and multiply that by the 6.9