Find the discriminant then state the number of rational, irrational, or imaginary solutions:
11. 9n^2 -3n+2=0
12. y^2 +6y+4=0
13. 9m^2 +6m+1=0
14. -2a^2 -2a+1=0
15. -9b^2 +8b=8
16. -x^2 -9=6x
17. 4r^2 +6=-4r
18. -3b^2 -8b=-1

Answer:

4 minutes

Step-by-step explanation:

Given that:

Person 1's speed = 4 meters per minute

Anthony's speed = 4.5 meters per minute

To find:

In how many minutes, Anthony will be 2 meters ahead ?

Solution:

Let the time taken = [tex]t[/tex] minutes

Distance covered by 1st person = D meters

Distance covered by Anthony = (D + 2) meters

Formula:

Distance = Speed [tex]\times[/tex] Time

For 1st person:

[tex]D = 4 \times t[/tex] ....... (1)

For Anthony:

[tex]D+2 = 4.5 \times t[/tex]

Using first equation:

[tex]4t + 2 = 4.5t\\\Rightarrow 0.5t = 2\\\Rightarrow \bold{t = 4\ minutes}[/tex]

So, in 4 minutes, Anthony will be 2 meters ahead of the first person.

Step-by-step explanation:

(A) To find inverse of f(x) = y = 1 / x - 3 :

Transform in terms of x

y = 1 / x - 3

x - 3 = 1 / y

x = 3 + 1 / y

Exchange x with y :

[tex] {f}^{ - 1} (x) = 3 + \frac{1}{x} [/tex]

Therefore, g(x) is not inverse of f(x) and vice versa.

(B)

Domain of f(x) = R - {3}

Domain of g(x) = R - {0}

Answer:

is therr more to that question

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

110ₓ = 40₅    --------- change all to base ten.

the system called binary

1x²+1x ¹+0x⁰ = 45¹+0*5⁰

x² + x + 0 = 20

x² + x – 20 = 0

solve x using Quadratic equation

       -1 ±  [tex]\sqrt{1^2 - 4 * 1 * (-20)}[/tex]

x =  ------------------------------------

                       2 * 1

x = -5;  x = 4

therefore, x = 4

Answer: .20x+1.00

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

8y+3z

9(8)+3(8)

72+24

96

Hi There!!

I think your best answer is B). Look at the graph of the relationship. Count the number of units up and the number of units to the right one must

move to arrive at the next point on the graph. Write these two numbers as a fraction."

I'm not sure this is 100% right....

Hope This Helps!!

[tex]Brazts[/tex]

The correct statement will be : Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction.

Given,

Unit rate for a proportional relationship.

Here,

When the unit rate for proportional relationship is to be identified than count the number of units at y axis or vertical axis and the number of unit at x axis or horizontal axis .

Take ratios of these two values .

Know more about graphs,

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Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

a). There are 8 points in the figure attached.

b). There are 9 lines in the given figure.

c). There are 5 planes in the figure attached.

d). Three collinear points are D,G and F.

e).  Four co-planar points are G, F, H and C.

f). Intersection of planes ABC and ABE is the common line AB.

g). Intersection of planes BCH and DEF is the common line EF.

h). Intersection of AD and DF is a point D.

Answer:

once have a short glance to the above solution.

The midpoint of AB is ( -0.5 , 0)

Answer: 98 roses

Step-by-step explanation: 2:7 is like x:343

343 divided by 7 is 49, so that is what you multiply 2 by to get the roses. 49 x 2 = 98

Answer:

343÷7×2=98

98 roses

The ratio of flowers is 7 to 2. The answer is question 98

Answer:

n-10+2n-5

to me it look like it equal 3n-5

Step-by-step explanation

step one:

add n+2n which equal to 3n

step 2:

-10+5

you add 5 do -10 which equal to -5

and when u put them together the answer will be

3n-5

Answer:

The answer is "[tex]\bold{11, \ 13, \ 15, \ 17, \ 19}[/tex]".

Step-by-step explanation:

In word problem, it is solved by 2k+1, among the most common forms of even an, unlike number.

Let another odd integer become 2k+1.....(a)

(2K+1)+(2k+3)+(2k+5)=(2k+7)+(2k+9)+3(to take the left side 3 extra)  

Quality for the k:

[tex]\to 6k+ 9 = 4k +19 \\\\\ \to 6k-4k= 19+9 \\\\ \to 2k = 10 \\\\ \to k = \frac{10}{2}\\\\ \to K = 5[/tex]

put the value of k, in the equation (a):

[tex]\to 2k+1 \\ \to 2(5)+ 1 \\ \to 10 + 1\\\to 11\\[/tex]

There are also 11, 13, 15, 17, and 19 episodes.  

Let's test it! Let's test it. 11+13+15=39  

17+ 19 = 36.  

So we're right, the first 3 integer numbers are 3 more than the last 2.

Answer:

11,13,15,17,19

I checked the RSM thingy

:)

Answer: No.

Step-by-step explanation:

We have 10 lumps of sugar, and we want to divide them into 3 cups, in such a way that there is an odd number of lumps in each cup.

This only can happen if we have 3 odd numbers such that the addition is equal to 10.

Now 10 is an even number, remember that even numbers can be written as:

2*k

where k is an integer number.

And odd numbers can be written as:

2*n + 1

where n is an integer.

Then we have 3 odd numbers, let's call them:

(2*n + 1), (2*k + 1) and (2*p + 1).

Now let's add them:

(2*n + 1) + (2*k + 1) + (2*p + 1).

2*(n + k + p) + 1 + 1+ 1

2*(n + k + p) + 2 + 1 =

2*(n + k + p + 1) + 1.

Now, the number n + k + p + 1 is an integer number, let's call it X, then we have that the addition of the 3 odd numbers is:

2*X + 1

This is an odd number

So for any 3 odd numbers that we add together, the result will always be an odd number.

Then is impossible to add 3 odd numbers and get 10 as the result (Again, 10 is an even number).

Then is not possible to have an odd number of lumps in each cup.

Answer: j = 20/k-h

Step-by-step explanation: Multiply to remove your variable from your denominator.

I hope this helps you out.

Answer:

5200

Step-by-step explanation:

2000 x 20% = 400

400 x 8 = 3200

2000 + 3200 =5200

Answer:

Jeff is faster

Step-by-step explanation:

kilometers are faster than meters

and 7 kilometers is 700 meters

so 100 meters isn't fast enough compared to Jeff's speed

Jeff is faster than Cameron as his average speed is more than that of Cameron's average speed.

The average speed of a body is the ratio of the distance covered by the body to the time it takes to cover that distance.

In the question, we are given that Jeff says that he can run 7 kilometers per hour while Cameron says that he can run 100 meters per minute.

We are asked to tell who is the faster among them.

We need to know that, 1 kilometer = 1000 meters, and 1 hour = 60 minutes.

Jeff's average speed = 7 km/hr. = 7km/1hr = (7*1000) m / (1*60) min

or, Jeff's average speed = 7000/60 meters per minute = 116.67 meters per minute.

We are given that Cameron's average speed is 100 meters per minute.

So, we can say that Jeff is faster than Cameron, as

Jeff's average speed > Cameron's average speed.

∴ Jeff is faster than Cameron as his average speed is more than that of Cameron's average speed.

Learn more about the average speed of a body at

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A. To find the area of a circle you need to use the formula A= π r²  

The radius (R) is half of the diameter . . . that's 6.5 cm .

r² = ( 6.5)² = 42.25 cm²

Area =  π r² = 42.25 π  =  132.7 cm²

B. Area of a rectangle is just (length) x (width).

Length = 12 cm

Width = 5 cm

Area = (12 cm) x (5 cm) = 60 cm²

C. The shaded portion is the part of the circle that's NOT in the rectangle. So its area is (area of the circle) - (area of the rectangle)

Area = (132.7 cm²) - (60 cm²) = 72.7 cm²

Answer:

Step-by-step explanation:

(x₁, y₁) = (-2 , -5)   & (x₂ , y₂) = (-3 , 1)

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

          [tex]=(\frac{-2 + [-3]}{2} ,\frac{-5 + 1}{2})\\\\\\=(\frac{-5}{2} , \frac{-4}{2})\\\\=(-2.5, -2)[/tex]

Answer:

y = 2x

Step-by-step explanation:

Step-by-step explanation:

Let

y ----> the height in inches

x ----> the time in hours

we have the ordered pairs

(1, 2), (2, 4), and (3, 6).

step 1

Find the slope

take two points to calculate the slope

(2, 4), and (3, 6)

The formula to calculate the slope between two points is equal to

m = 2 in/h

step 2

Find the equation of the line in point-slope form

we have

m =2

point (2,4)

Convert to slope-intercept form

isolate the variable y

y = 2x

Answer:

34

Step-by-step explanation:

Answer:

The relation between inputs and outputs is given by an equation called the equation of function. Since the outputs are also real values, hence, reasoning by analogy, you may use the arithmetical operation between functions (addition, subtraction, multiplication, division) to produce new functions.

Answer:

Step-by-step explanation:

12x + 14y = 20

-8x - 14y = -4

4x = 16

x = 4

6(4) + 7y = 10

24 + 7y = 10

7y = -14

y = -2

(4, -2)

the solution is B

Answer/Step-by-step explanation:

A term is part of an expression, which could be a number, a number multiplied with a variable, a variable, or 2 variables multiplied together.

The terms in the given expression, [tex] - 60 + 7p - 3z [/tex], are [tex] -60, 7p, -3z [/tex].

Coefficient is the number that is multiplied by a variable.

The coefficients in [tex] - 60 + 7p - 3z [/tex], are: [tex] 7, -3 [/tex].

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

Explanation:

The given equation is y = (-3/4)x - 2. Comparing it to y = mx+b, the slope is m = -3/4

Flip the fraction and the sign to go from -3/4 to 4/3. This is the perpendicular slope. Multiplying the two slopes gets (-3/4)*(4/3) = -1.

Rule: the original slope and perpendicular slope always multiply to -1, assuming neither line is vertical or horizontal.

We'll use the point (x,y) = (3,6) and the perpendicular slope m = 4/3 to find the y intercept b

y = mx+b

6 = (4/3)(3) + b

6 = 4+b

6-4 = b

2 = b

b = 2

The y = mx+b equation becomes y = (4/3)x + 2 which is the slope intercept form of the perpendicular line.

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

Extra info:

If you want to convert to standard form Ax+By = C, then you could do the following steps

y = (4/3)x + 2

3y = 4x + 6 ... multiply everything by 3 to clear out the fraction

3y - 4x = 6

-4x + 3y = 6

4x - 3y = -6 ... multiplying both sides by -1; this is to make A > 0

Answer: d) y=4x+17

remember y=mx+b

good luck

Answer:

1 + n/2 or n/2 + 1

Answer:2/n

Explanation:

Quotient just means "divide", so this would just be equal to

2/n

Hope this helps!

Answer:

x^2y / 4

Step-by-step explanation:

x^4 y^4 / 4x^2 y^3

x^4 / x^2 = x^2 and y^4 / y^3 = y so:

this = x^2y / 4

Answer:

Step-by-step explanation:

8*0.25-1+14

=2-1+14

=1+14

15

Answer:

-58

Step-by-step explanation:

If we have the expression [tex]5xy-3z[/tex] and we know the values of x, y, and z, we can substitute inside the equation to find it's value.

[tex]5\cdot-2\cdot4 - 3\cdot6\\\\-40 - 18\\\\-58[/tex]

Hope this helped!

Answer: -58

Step-by-step explanation:

Fill it in to get (5)(-2)(4) - (3)(6) which is -40 - 18 = -58

Answer:

-1.16666666667

Step-by-step explanation:

Answer:

-1 1/6

Step-by-step explanation: