factorise f²-f-20 step by step ​

Answer:

So a degree means the power. So which ever has a power of three. I think you forgot to show to power, its D i think

D is answer  

Answer:

[tex] P(t_{16}>2.583)[/tex]

And for this case we can use the complement rule and we got:

[tex]P(t_{16}>2.583)= 1- P(t_{16} <2.583)[/tex]

And if we use the t- table with df =16, we got:

[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]

Step-by-step explanation:

For this case we know that the degrees of freedom are given:

[tex] df = n-1= 16[/tex]

And we want to find the following probability:

[tex] P(t_{16}>2.583)[/tex]

And for this case we can use the complement rule and we got:

[tex]P(t_{16}>2.583)= 1-P(t_{16} <2.583)[/tex]

And if we use the t-table with df =16, we got:

[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]

Answer:

$10.68

Step-by-step explanation:

The question is incomplete as we were not given the cost of each pizza and each drink.

Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of ​$9.90 how much does each person​ pay? If one large pizza cost $12 and small drink cost $1.5.

Solution:

one large pizza cost = $12

small drink cost = $1.5

3 large pizzas = 3×12 = 36

5 small drinks = 5×1.5 = 7.5

Tip = $9.90

Total cost = 36+7.5+9.9 = $53.4

Total number of people that want to share the cost = Dave and his 4 friends = 4+1 = 5

Each person pays = $53.4/5

Each person pays = $10.68

There are four 10 cards in the deck, so P(10) = 4/52 = 1/13

P(not 10) = 1 - P(10). This is because the maximum probability is 1, and the card you draw will either be 10, or not a 10.

P(not 10) = 1 - 1/13 = 13/13 - 1/13 = 12/13

Answer:

Step-by-step explanation:

This is a piecewise function. If we are finding the average rate of change over the interval 4 and 12 inclusive, that means that we are finding the slope of the whole function (both pieces) from 4 to 12 (domain values are from 4 to 12. That means x values). This is not a straight line, so the average value is merely a rough estimate of the slope between x values 4 and 12.

When x ≤ 4, we have to use the first piece of the function, 3x - 7 because the restriction on the domain is that x has to be less than 6 and 4 is less than 6. Evaluating at the domain of 4 in the first piece will give us an (x, y) coordinate to help find the slope.

f(4) = 3(4) - 7 and

f(4) = 12 - 7 so

f(4) = 5 and the coordinate is (4, 5).

When x ≤ 12 we have to use the second piece of the function, .75x + 10 because the domain restriction is that x has to be greater than or equal to 6 and 12 is greater than 6. Evaluating at a domain of 6 will give us the other coordinate we need to find the slope.

f(12) = .75(12) + 10 and

f(12) = 9 + 10 so

f(12) = 19 and the coordinate is (12, 19). Now for the slope (aka average rate of change). Using the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{19-5}{12-4}=\frac{14}{8}=\frac{7}{4}[/tex]

There you go! Just remember the domain thing and you should be fine.

Answer:

The answer is D.

Step-by-step explanation:

Given that f(x) = g(x) which means that both functions intersect to each other. By looking at the graph, x = -2 or 0 or 2 are the places where they intersect.

Answer:

3t+11

Step-by-step explanation:

A pentagon has 5 sides

Perimeter is the total measurement around an object=20t+7

we have not been given the 5th side measurement so lets make it x

6t +2t+4t-5+5t+1+x=20t+7

put the liketerm together i e

6t+2t+4t+5t-20t+x=7+5-1

17t-20t+x=11

-3t+x=11

x=11+3t.

So the measurements of the fifth side is 11+3t same as 3t+11

Answer:

Step-by-step explanation:

If you want to know what you have to multiply by 5 to get a product of 70, you would divide 70 by 5 to get that other number. Because 70 divided by 5 is 14, you know that the other number is 14. It's the same when you have one factor of a polynomial and want to know the other. You divide your polynomial by the one factor to get to the other factor, because when you multiply them together, you get back the polynomial you started with. Like when we found that 70 / 5 = 14, we know that when we multiply 14 by 5 we'll get the 70 we started with.

Long division of polynomials will be difficult to illustrate within this forum, but I'll do my best. What we want to do is divide [tex]6x^2+x-15[/tex] by 2x - 3:

          __________

2x - 3 | [tex]6x^2+x-15[/tex]

First divide the 6 x-squared by the 2x (forget about the rest of what's inside the box for now, and also forget about the -3 for now. We'll deal with them later).  2x goes into 6 x-squared 3x times, because 2x * 3x = 6x-squared, right? So the 3x goes above the 6x-squared:

           3x_______

2x - 3 | [tex]6x^2+x-15[/tex]

Now we multiply the 3x by the 2x and put that product under the 6x-squared. The product is 6x-squared (which will always be the case in division that they will subtract each other away. That's why we do this!)Then multiply the 3x by the -3 which is -9 and put that under the "+x" term:

           3x________

2x - 3 | [tex]6x^2+x-15[/tex]

           6x^2-9x        

At this point we change the signs and have

            3x                

2x - 3   | 6x^2 + x - 15

          -  6x^2 +9x

And then we add and bring down the -15:

           3x                  

2x - 3 | 6x^2  + x - 15

         - 6x^2 + 9x

                       10x - 15

Now do the division process again, this time dividing 10x by 2x (again the -3 will wait). 10x divided by 2x is 5 (because 2x * 5 = 10x, right?). The 5 goes above the +x on top:

           3x    +   5      

2x - 3 | 6x^2 +  x - 15

        -  6x^2 + 9x

                       10x - 15

Now we wwill multiply the 5 by both the 2x and the -3 and subtract:

           3x     +  5    

2x - 3 | 6x^2 +  x - 15

         - 6x^2 + 9x

                       10x - 15

                     - 10x + 15

Notice that when we subtracted, the 10x changed from + to -, and the -15 changed to a positive. The remainder is 0.

That tells us that the other factor of the polynomial is 3x + 5. You could also have done synthetic division, but it would be more difficult than this to illustrate because you would be dividing by 3/2.  :/  

Answer:

x =42

q = 135°

p + q + r = 225°

Step-by-step explanation:

a)

Since, AB and BC are perpendicular lines.

[tex] m\angle ABC = 90\degree \\

\therefore 24\degree + x\degree + 24\degree = 90\degree \\

\therefore x\degree + 48\degree = 90\degree \\

\therefore x\degree = 90\degree - 48\degree \\

\huge \red {\boxed {\therefore x = 42}} \\[/tex]

b) (i)

Since, CD and EF are parallel lines and AB is a straight line.

[tex] \therefore q = 135\degree... (vertical \: \angle 's) \\\\

p + 135\degree = 180°..(straight\: line \: \angle' s) \\

p = 180\degree - 135\degree \\

\huge \purple {\boxed {p = 45\degree}} \\

\because r = p ... (vertical \: \angle 's) \\

\huge \purple {\boxed {r = 45\degree}} \\

p + q + r = 45\degree + 135\degree + 45\degree \\

\huge \purple {\boxed {p + q + r = 225\degree }}\\[/tex]

Answer:

x = 8

Step-by-step explanation:

8 minus 16 equals to a negative answer, resulting to -8.

Answer:

x = 8

Step-by-step explanation:

Add 16 to both sides of the equation.

x = −8 + 16

Add − 8 and  16

 x = 8

Answer:

I'm 99% sure this is the answer: -9,0,3,4,5

Step-by-step explanation:

Answer:

-9, 0, 3, 4, 5

Step-by-step explanation:

when you go from left to right on a number line the numbers increase and increase. So the numbers in least to greatest form

-9, 0, 3, 4, 5

Answer:

[tex]x=\frac{5y-3}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2x+3}{5} =y[/tex]

[tex]2x+3=5y[/tex]

[tex]2x=5y-3[/tex]

[tex]x=\frac{5y-3}{2}[/tex]

The equation for x in terms of y is x=(5y-3)/2.

The given equation is y=(2x+3)/5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now the given equation can be rearrange to make x the subject as follows:

Cross multiply 5 to y.

That is, 2x+3=5y

⇒ 5y-3=2x

⇒ x=(5y-3)/2

Therefore, the equation for x in terms of y is x=(5y-3)/2.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ2

Answer:

12.5cm

Step-by-step explanation:

The height is found in the following way:

Volume divided by Area of Cross section.

So,

1500 divided by 120 = 12.5 cm

Answer:

32 school hrs in a week.

Step-by-step explanation:

The reduction percentage =

80 x 0.80 = 64  (hrs)

The distribution =

64/2 = 32hrs

Answer:

1

Step-by-step explanation:

Answer:

1,1.5,2.5

Step-by-step explanation:

f(x) = 3 - .5x

The domain is 1,3,4 so theses are the only inputs

f(1) = 3 - .5 = 2.5

f(3) = 3 - .5(3) = 3- 1.5 = 1.5

f(4) = 3 - .5(4) = 3-2 =1

The only outputs are 1,1.5,2.5

Answer:

7/20

Step-by-step explanation:

He tosses the dime 500 times and it lands on heads 325 times.

There are only two possibilities in a coin toss: Head or tails

This means that it lands on tails:

500 - 325 = 175

The theoretical probability of the dime landing on tails is:

175 / 500 = 7/20

Answer:

A perpendicular line is a line that meets a 90 degree angle.

Step-by-step explanation:

Think of the letter L

the top stick of the letter is perpendicular to the bottom stick and it makes a 90 degree angle.

Thats the best way I can explain it.

Hope this helps and please mark me brainliest if it did :)

Answer:

Hey!

Your answer is B. Lines that meet at a 90 degree angle!

Step-by-step explanation:

Just think of an L or something...

The 2 lines meet together and you can then see close to the area they meet at 90 degree angles...

Answer:

The dogs are 21. 8 m from each other in 5 seconds

Step-by-step explanation:

Given;

speed of Edison, v = 10 m/s

speed of Einstein, u = 8 m/s

angle between the two dogs, θ = 25°

let the distance ran by Edison in 5 seconds = x = (10 m/s x 5 s) = 50 m

let the distance ran by Einstein in 5 seconds = y = (8 m/s x 5 s) = 40 m

let the distance between the two dogs after 5 seconds = z

x , y and z forms a triangle with an angle between x and y as θ

The third side, z, can be calculated using cosine rule

z² = x² + y² - 2xyCosθ

z² = 50² + 40² - (2 x 50 x 40)Cos25

z² = 4100 - 4000Cos25

z² = 474.7689

z = √474.7689

z = 21.789 m ≅ 21. 8 m

Therefore, the dogs are 21. 8 m from each other in 5 seconds

The number of ways can the teacher assign out is 75.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 15\times 5[/tex]

= 75

Therefore we can conclude that The number of ways can the teacher assign out is 75.

Learn more: brainly.com/question/17429689

Answer:

The discriminant of f is 92, and it has no real zeros

Step-by-step explanation:

The discriminant of a quadratic is [tex]b^2-4ac[/tex], where the quadratic is in the form [tex]ax^2+bx+c[/tex]. The discriminant of this one is therefore:

[tex]2^2-4(4)(6)=4-96=-92[/tex]

Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!

Answer:

20. 13 cm

21. 12 cm

Step-by-step explanation:

20. isosceles means two sides are the same length, so you take the ten off the perimeter to get 26 remaining cm (36 -10) and you then divide that by two to get both sides of 13 cm (26 / 2)

21. because you know that if you split the triangle down the middle you get a right triangle and you can use a^2+b^2=c^2 to find the height, so we take the one side of 13 cm and half of the third side, which is 5, and you can find your answer (a^2 + 5^2 = 13^2   ---> a^2 + 25 = 169 ---> a^2 = 144 ---> a = 12)

Answer:

[tex] \boxed{\sf - 2 {p}^{2} - 11p - 35} [/tex]

Step-by-step explanation:

[tex] \sf \implies - 2 {(p + 4)}^{2} - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 2(p)(4) + {4}^{2} ) - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 8p + 16) - 3 + 5p \\ \\ \sf \implies (( - 2) \times {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\ \\ \sf \implies (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} - 16p - 32 - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} + (- 16p + 5p) + ( - 32 - 3) \\ \\ \sf \implies - 2 {p}^{2} - 11p - 35[/tex]

Answer:

Probability = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Ordinary dive have sides = 6

Numbers less than 3 on it are = 2

Probability = [tex]\frac{No. OFPossibeOutcomes}{Total NumberOfOutcomes}[/tex]

Probability = [tex]\frac{2}{6}[/tex]

Probability = [tex]\frac{1}{3}[/tex]

Answer:

= 1/3

Step-by-step explanation:

There are two numbers less than 3= 1 and 2

there are total 6 numbers in a dice. So,

                                                      = 2/6 = 1/3

Answer:

19.75.

Expression: 4.50pp - 2.75

(pp is the variable, pretend)

Answer: 3/4 = 6/8

so u need 60*6, so

c=60*6 ?

c meaning calories

Answer:

How many calories are in 3/4 cup of honey? = 60/ 1/8*3/4

How many cups of honey will the baker use for 15 cakes? = 3/4*15

How many cakes could the baker make if he has 78 cup of honey? =  7/8 divided by 3/4.

Step-by-step explanation:

Promise this is tried and tested

Answer:

Step-by-step explanation:

Think of the outside function as a scaling quantity. You are applying that outside term to each and every term on the inside, Thats the basis for the distributive property.

1.)3 x 2 + 3 x 8 = 24

Now that you got the steps down, ima do the rest in my head

2.) 2

3.) -10

4.) -50

Answer:

Step-by-step explanation:

Distributive property: a(b +c) = ab + ac

                                    a(b - c) = ab - ac

1) 3(2 + 8) = 3*2 + 3*8

                = 6 + 24

                = 30

2) (-3 + 4)2 = -3*2 + 4*2

                 = -6 + 8

                = 2

3) -5(4 - 2) = -5*4 - (-5)*2

                 = - 20 + 10

                = -10

4)(12 +13)(-2) = 12*(-2) + 13 *(-2)

                    = -24 - 26

                    = -50

Answer:

work is shown and pictured

Answer:

the slopes of the adjacent line segments are equal......

Step-by-step explanation:

hope it's helpful

Answer:

A, c, d, e

Step-by-step explanation:

on edg

The correct options are m ∠ 1 = 50°, m ∠ 1 + m ∠ 2 + m ∠ 3 = 180° and 50+2x+x+25 = 180

Parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.

Given that, two parallel lines l and m are intersected by lines s and t. some angles are made by them, we need to select the correct options for them,

Correct options with reasons :-

∠ 1 = 50° is a true statement because they are vertically opposite angles.

m ∠ 1 + m ∠ 2 + m ∠ 3 = 180°, is a correct statement because they are interior angles of a triangle.

50+2x+x+25 = 180, is a correct answer because they are angles lying in a straight line.

Hence, the correct options are m ∠ 1 = 50°, m ∠ 1 + m ∠ 2 + m ∠ 3 = 180° and 50+2x+x+25 = 180

Learn more about Parallel lines click;

https://brainly.com/question/16701300

#SPJ3

Answer: its the 2nd one

Step-by-step explanation: