Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real number solutions does the equation have? Discriminant = b2-4ac

Answer: I Thing the answer may be 7units. Please correct  me if i'm wrong  

Step-by-step explanation:

Answer: 62/5

Step-by-step explanation:

You are given the following functions:

F(X) = x-2/5

g(X) = x-5

First find the inverse of the two functions.

To find inverse, first make f(x) and g(x) equal to y, interchange x and y and make y the subject of formula

F(x) = x - 2/5

Y = x - 2/5

Interchange y and x

X = y - 2/5

Make y the subject of formula

Y = x + 2/5

Therefore, f^-1(x) = x + 2/5 ..... (1)

Also,

g(x) = x - 5

Y = x - 5

X = y - 5

Make y the subject of formula

Y = x + 5

g^-1(x) = x + 5

To find g inverse of 7, substitute 7 for x in the above formula

g^-1(7) = 7 + 5 = 12

f inverse g inverse = 7 will be achieved by substitute 12 for x in the equation (1)

F^-1(12) = 12 + 2/5 = 62/5

Answer:

[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]

[tex]Distance = a[/tex]

Step-by-step explanation:

Given

[tex]A = (0,0)[/tex]

[tex]B = (a,0)[/tex]

[tex]C = (a,b)[/tex]

[tex]D = (0,b)[/tex]

Required

Determine the distance between A and B

The distance between points is calculated as thus;

[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Considering points A and B

[tex]A(x_1,y_1) = (0,0)[/tex]

[tex]B(x_2,y_2) = (a,0)[/tex]

Substitute values for [tex]x_1, x_2, y_1[/tex] and [tex]y_2[/tex] in the above formula

[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]

The above expression represents the distance between A and B;

However, it can be solved further as thus

[tex]Distance = \sqrt{( -a)^2 + (0)^2}[/tex]

[tex]Distance = \sqrt{a^2 + 0}[/tex]

[tex]Distance = \sqrt{a^2}[/tex]

[tex]Distance = a[/tex]

Hence, the distance between A and B is a

Answer:

12.5 feet

Step-by-step explanation:

So we would not have to worry about any line other than red so we would divide 5 cm by 2 cm which is 2.5 cm and if you multiply that by 5 you would get 12.5 feet

Answer:

1. C

2. 55°

Step-by-step explanation:

So, we know that for an angle with its vertex inscribed on the circle, the arc it opens up to is twice the angle's measure, so we can get m∠ADE = 1/2(measure of arc AE), which is C.

Now we can input the measure of arc AE into the equation. So, m∠ADE = 1/2 * 110, and we can find out that m∠ADE = 55°.

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I hope this helps, let me know if you have any questions.

Answer:

7.06

Step-by-step explanation:

Write a proportion using similar triangles.

DF / DG = DE / GE

x / 8 = 15 / 17

x = 7.06

Answer:

i dont think Kendra made a mistake

Step-by-step explanation:

Given:

Kendra was given this system of equations.

-3x+7y=-15 and -2x-7y=5.

TO FIND :

The steps in Kendra’s work where did she make a mistake.

SOLUTION :

Kendra's work :

Step 1 :

Given equations are  

-3x+7y=-15

and

-2x-7y=-15

Step 2:

Adding the equations (1) and (2) we get

-5 x = -10.

x=-10/-5

x = 2.

Step 3:

Substitute the value of x in the equation (1) we have,

-3(2)+7y=-15

-6+7y=-15

7y=-15+6

7y=-9

y=-9/7

y=-1 2/7

From Kendra's worked steps she made no mistake.

Hope this helps, if it did, please give brainliest, it will help me a lot :)

Have a good day :)

Answer:

1/2

2/1

use the method rise over run

Step-by-step explanation:

Answer:

1 hour 12 minutes or 1.2 hours

Step-by-step explanation:

You add fractions to get this.

1 room/3 hours + 1 room / 2 hours = 1 room / x

0.33333333+0.5 = 1 room / x

0.83333333 = 1 / x    Multiply both sides by x

0.83333333x  = 1      Divide by 0.8333333

x = 1/0.833333

x = 1.2 hours or

x = 1 hour and 12 minutes  

Answer:

65/8 units ³

Step-by-step explanation:

V = l x w x h

l x w = 16 1/4 units² = 65/4 units²

h = 1/2 units

V = 65/4units² x 1/2units = 65/8 units ³

square root of 5 equals 2.236068. So,, Choice C is the correct option witht he numbers from least to greatest. Hope this helps.

Answer:

y = 3/8x - 9 + 4/5

Step-by-step explanation:

assuming y = 3/4 (1/2x-12)+4/5

multiply 3/4 and (1/2x - 12)

y = 3/8x - 9 + 4/5

Answer:

Step-by-step explanation:

The LCD here is 120.  Multiplying both terms by 120 and then dividing the result by 120 yields

90(1/2x - 12) + 96           45x - 1080 + 96               45x - 984

-------------------------- = -------------------------------  =  ----------------------

         120                                 120                                 120

Answer:

No , It has two endpoints.

Explanation: A line segment has two end points with a definite length.

A straight line has neither starting nor end point and is of infinite length.

Answer:

5

Step-by-step explanation:

If we are solving for c then we do 3^2 which = 9 plus 4^2 which is 16. This totals up to 25 and take the square root of 25 to get 5

Answer:

f(x)=2x-6

Step-by-step explanation:

Because the slope is 2 and the y-intercept is -6.

[tex]x[/tex]Answer:

The answer would be [tex]f(x)=2x-6[/tex]

Step-by-step explanation:

    The question is basically asking for the slope intercept form and [tex]f(x)[/tex] is equal to [tex]y[/tex]. So after we have figured that out we would have to know what the slope intercept form is, slope intercept form is simply [tex]y=mx+b[/tex]. In the equation [tex]m[/tex] will equal the slope or the rise over run and [tex]b[/tex] will equal the y-intercept and that is all we need to solve this equation.

    If we look at the graph we will see that the line crosses the y axis at the point (0,-6) so knowing that we will remember that [tex]b[/tex] is the y-intercept is where the line crosses the y axis and in this case it is crossing it at -6 so if we plug that into the equation we will get [tex]y=mx-6[/tex].

    Now we will find the slope or [tex]m[/tex]. First we will see the distance between the 2 points on the graph, if we count we will have to go up 6 to get to (0,0) and we will go right 3 so we know that slope is rise over run so you would go up or rise 6 and go right or run 3 so we would get [tex]\frac{6}{3}[/tex] as our slope, but we could simplify this to just 2 so we would get [tex]2x[/tex] as our [tex]mx[/tex].  

    We have solved all of the parts and now we can put it together. So first we would do f of x or [tex]f(x)[/tex] which means function and than we would put [tex]2x[/tex] and finally we would put our [tex]-6[/tex]. When we put that all together we would get [tex]f(x)=2x-6[/tex].

   To check you could just graph this and you would get:

P.S. The f(x) turned into a y in the process:)

Answer:

Second one is the corect probability for the problem

Step-by-step explanation:

arithmetic progression

even numbers between 1001 and 10000

1002,1004,.......9998

Tn=a+(n-1)d

Tn = 9998 last term in the progression of even numbers

a = 1002 first term

d = 2 distance

9998=1002+(n-1)(2)

8996=2n-2

8998=2n

n = 4499 the number of terms

sum = n/2 (a+Tn) = 4499/2(1002+9998)

= (4499/2)(11000) = 24744500

Logic:

notice what happens when you add the first and last terms

1002+9998=11000

1004+9996=11000

.......

Answer:

False

Step-by-step explanation:

Answer:

18.9 ft²

Step-by-step explanation:

Surface area of this cylinder = area of the bottom and top circles + area of the curved surface.

Area of the two circles = 2πr² , where r is the radius.

Area of the curved surface = 2πrh , where r is the radius and h is the height.

Radius = [tex]\frac{1}{2}[/tex] × diameter

Area of the two circles = 2 × π × ([tex]\frac{2}{2}[/tex])² = 6.3 ft² (answer rounded up to nearest tenth)

Area of the curved surface = π × diameter × h = π × 2ft × 2ft = 12.6 ft² (answer rounded up to nearest tenth)

The surface area of the cylinder = 6.3 ft² + 12.6 ft² = 18.9 ft²

Answer:

18.85 to be exact

Step-by-step explanation:

pls mark brainliest

Answer: 311 pounds

Step-by-step explanation:

To find the average, add up all of the values and divide by the amount of values.

First add up all of the values.

322+290+321+326+330+315+311+292+290 = 2797

Now count how many values there are and divide your previous sum by it.

2797/9 = 310.78

Because you need to have 3 sig figs, round to the nearest one.

310.78 rounds up to 311.

answer-311

Step-by-step explanation:

322+290+321+326+330+315+311+292+290=2797

Count the number of values and divide by 2797

2797 divided by 9 =310.77777777777777

Nearest one-311

Answer:

Approximately 16 feet

Step-by-step explanation:

If the playground has a square shape, then its area equals the square of the playground's side (S):

[tex]S^2=263 \,\,ft^2\\S = \sqrt{263} \,\,ft\\S\approx 16.217 \,\,ft \\S\approx 16\,\,ft[/tex]

Answer:

16 feet

Step-by-step explanation:

The area of a square can be found using the following formula.

[tex]A=s^2[/tex]

We know that the area of the playground is 263 ft^2. Therefore,

A=263 ft^2

[tex]263 ft^2= s^2[/tex]

We want to find out what s, the side length, is. s is being squared. The inverse of a square is a square root. Therefore, we must take the square root of both sides.

[tex]\sqrt{263 ft^2} =\sqrt{s^2}[/tex]

[tex]\sqrt{263ft^2}=s[/tex]

[tex]16.2172747 ft=s[/tex]

Round to the nearest foot. The 2 in the tenth place tells us to leave 16 as is.

[tex]16 ft=s[/tex]

The approximate length of each side of the playground is 16 feet.

Answer:

the answer is 3

Step-by-step explanation:

if on the x-axis is -1 go over to -1 on the x- axis and then go up to the peak of the line and on the y- axis it would be 3

y=3

The value of output will be 3.

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The value of input (x) = - 1

Now,

Since, The value of input (x) = - 1

By graph it is clear that;

At value x = - 1, we get;

The value of output (y) = 3

Thus, The value of output (y) = 3

Learn more about the coordinate visit:

https://brainly.com/question/13350365

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Answer:

1/6

Step-by-step explanation:

Spinner = 1 out of 3

Marbles = 2 out of 4

1/3x2/4=2/12=1/6

Answer:

D. 81

Step-by-step explanation:

You need to first add 77, 95 and 82 to get 254, Then you do 335 - 254 which is 81.

Answer:

D. 81

Step-by-step explanation:

To get the answer all you need to do is add all of the scores of the first three tests and then subtract that from 335.

Answer:

C

Step-by-step explanation:

Took the test

The one way to simplify the algebraic summation expression is; [[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]

We want to simplify the algebraic summation;

[∑⁴³_(n = 1)] (3 + 9n)

Now, due to the addition sign, we can simplify this as;

[[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]

The only option that corresponds to our answer is Option A and so is correct.

Read more about Algebra Summation at; https://brainly.com/question/542712

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Answer:

line of slope 1 move up 7, so that there is a y-intercept of 7

Step-by-step explanation:

Answer:

There should be a y intercept of seven. :)

Step-by-step explanation:

You should always use the least number of significant figures.  The exception is exact numbers or constants.

For example, there are 60 minutes in an hour.  Even though this number has one significant figure, it is an exact number.  So 15 minutes converted to hours would be 0.25 hr.

Answer:

[tex]-6 <x <-3[/tex]

Step-by-step explanation:

[tex]-53 <9x+1 <-26[/tex]

Add -1 to all parts.

[tex]-53-1 <9x+1-1 <-26-1[/tex]

[tex]-54 <9x <-27[/tex]

Divide all parts by 9.

[tex]-54/9 <(9x)/9 <-27/9[/tex]

[tex]-6 <x <-3[/tex]

Answer:

6

Step-by-step explanation:

To find the GCF do the prime factorization of each term

24: 2x2x2x3

18t: 2x3x3xt

Now find the numbers that they both have in common

That would be 2 & 3

When you multiply them together you should get 6

This is the same as 6(3t + 4) because we can add two terms in any order

To get either answer, we first note that 6 is the greatest common factor (GCF) of 18 and 24. So we factor each term so that a 6 is involved. Then we use the distributive property in reverse like so

24 + 18t = 6*4 + 6*3t = 6(4 + 3t)

The distributive property is a(b+c) = a*b + a*c. We multiply the outer term 'a' by each term inside the parenthesis. Then we add the results.

Answer:

C.Quadrant III

EXPLANATION:

IN THIRD QUADRANT THAT'S WHERE -NEGATIVE COORDINATES LIE