Given the definitions of f(x) and g(x) below, find the value of (gof)(1).
f(x) = 2x² – 2x – 4
g(x) = -5x + 14

Answer:

Step-by-step explanation:

common difference d=3-1=2

first term a=1

an=a+(n-1)d

2n-1=1+(l-1)2

2n-1=1+2l-2

2n-1=2l-1

l=n

(i used l for number of terms)

number of terms=n

[tex]S_{n}=\frac{n}{2} (first ~term+last~term)\\=\frac{n}{2} (1+2n-1)\\=n^2[/tex]

Answer:

B its B

Step-by-step explanation:

Answer:

3 years old and 8 years old

Step-by-step explanation:

8-3=5

3x8=24

plz mark me as brainliest

Answer:

(a) 100

(b) 10.27

Step-by-step explanation:

We are given  

No of elements = 15  

Σ(x-c) = 72,Σ(x-c)^2 = 499.6

,where c is a constant

and the sample mean is 104.8.

(a)  lets take into account Σ(x-c) = 72

this means that we have the sum of the 15 elements of x and each element of x is subtracted by the constant c

so the equation becomes Σxi -15c = 72, ............(1)

where xi means the sum of the elements of x from 1 to 15.

we are given the mean as 104.8

this means that Σxi/15 = 104.8

Σxi = 15*104.8 = 1572 .............(2)

substituting (2) in (1)

we get  

1572 - 15c = 72  

15c = 1500  

c = 100

(b) We will use the property that variance does not change when a constant value is added or subtracted to the elements. This we can observe in the given equation that c is a constant that has the value of 100.

so the variance is  

σ^2 = Σ(x-c)^2/15  - (Σ(x-c)/15 )^2

      = 499.6/15  - (72/15)^2

      = 33.31 - 23.04

   σ^2   = 10.27

Therefore the variance of the given problem is 10.27.

Question

Marcus asked 10 people at a juggling festival what age they were when they started to juggle. Which interval contains the median age?

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]n = 10[/tex]

Required

The median interval

The question is incomplete, as the required data is not given.

To solve this question, I will use the following assumed dataset.

[tex]Age:17\ 17\ 18\ 20\ 21\ 22\ 22\ 24\ 28\ 28[/tex]

First, calculate the median position.

[tex]Median = \frac{n+1}{2}\ th[/tex]

[tex]Median = \frac{10+1}{2}\ th[/tex]

[tex]Median = 5.5\ th[/tex]

This implies that the median is the mean of the 5th and 6th data

So, we have the interval to be.

[tex]Median = [5th, 6th][/tex]

[tex]Median=[21,22][/tex]

Generally, the median of 10 data set is located at interval 5 to 6

Answer: You want to calculate the interest on $380 at 5.3% interest per year after .5 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $380.00.

r is the interest rate, 5.3% per year, or in decimal form, 5.3/100=0.053.

t is the time involved, 0.5....year(s) time periods.

So, t is 0.5....year time periods.

To find the simple interest, we multiply 380 × 0.053 × 0.5 to get your answer.

Step-by-step explanation:

Step-by-step explanation:

mmmmmmmmmmmmmmmmmmmmmmmmmmm

Answer:

Sum = 4 + 5 = 9

Step-by-step explanation:

Equation

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

Solution

2*(x^2 - 4x + 4) = x^2 + 4x - 3x - 12

2x^2 - 8x + 8  = x^2 +x - 12                     Subtract the right side from the left

x^2 - 9x + 20 = 0

(x - 4)(x - 5) = 0

The possible values for x are

x - 4 = 0

x = 4

x - 5 = 0

x = 5

Check

(4 - 2)^2 = (4) = 4

(x - 3)(x + 4) = (4 - 3)(8) = 8

This checks

(5 - 2)^2 = 3^2 = 9

(5 - 3)(5 + 4) = 2 * 9 = 18

Answer:

2a°+2a°=180°[opposite angle of cyclic quadrilateralis 180°]

4a°=180

a=180°/4

a=45°

4b+2b=180°[similarly]

6b=180°

b=180°/6

b=30

Answer: n=4

Step-by-step explanation:

Given

3n-(2+n)=6

Expand Parenthesis (REMEMBER TO CHANGE SIGNS)

3n-2-n=6

Combine like terms

2n-2=6

Add 2 on both sides

2n-2+2=6+2

2n=8

Divide both sides by 2

2n/2=8/2

n=4

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4

Step-by-step explanation:

4 Is the Answer because you have to multiply 4 to all the N's. Which means you have to multiply 4 by 3 which equals 12. Then 2+4=6. Then you would do 12-6=6. There's your answer. Here is the equation if it were like the problem: 12 - (2+4). I'm sure you can figure out the rest. Thanks. If you find any fault in my answer let me know! Have a good day!

Step-by-step explanation:

-√81=-√(9)²=-9

A number inside a Square root cannot ne negative. So, the second one is not a real no.

Answer:

[tex] - \sqrt{81} = - 9 \\ \sqrt{ - 25 = - 5} [/tex]

Step-by-step explanation:

-81/9 9+9+9+9+9+9+9+9+9(81)

-9

-25/5 (5+5+5+5+5(25)

-5

Simple Proof:

a) In the image, we know that ABCD is a parallelogram and that means opposite angel measures should be the same. We know that angel DCB is made up by angel 1 and 2, and angel DAB and DCB are equal and angel DAB is made up by angel 1 and x. So now we can conclude that angel x is equal to angel 2.

b) According to the definitions of a parallelogram, opposite angel measures have to be the same, while AECF have angle 1 to angel 1 and angel 2 to angel 1. We can conclude that AECF is NOT a parallelogram. (Sorry, you didn't give me the full question so some information remains unclear. )

Answer:

[tex]5\sqrt[3]{5}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{625}[/tex] factor [tex]625^{1/3}[/tex]=[tex]5(5^{1/3} )[/tex]=5\sqrt[3]{5}

Hope that helps :)

Answer:

The correct anser is B. (i think. sorry if wrong) have a wonderfull day. dont let them bring you down. your amazing just the way you are.

Step-by-step explanation:

Step-by-step explanation:

\blue{\large \rightarrow }\: \boxed{ \sf{ \frac{1}{v} + \frac{1}{u} = \frac{1}{f} }}

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form:  3x^2 + 7x - 1.

The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or

7^2 - 4(3)(-1), or 49 + 12, or 61.  Because the discriminant is positive, this quadratic has two real, unequal roots

Answer:

the answer is A:

sinA=h/c

sinC=h/a

Step-by-step explanation:

edge 2020

The pair of equations is sinA=h/a cosC=h/a

What is trigonometry?

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms.

When a altitude is drawn from the base of the triangle

we can write

sinA=height/ a where a, is the side length of AB

also,cos C=height/a where a, is the side length of AB

Therefore,The pair of equations is where a, is the side length of AB

Learn more about trigonometry,

https://brainly.com/question/20519838

#SPJ2

Answer:

45

Step-by-step explanation:

3 out of 12 is 1/4, or 0.25, so if you divide 180 by 4, then using the same logic, you can expect 45 kids to have played last year.

3 = 1/4 OR .25 of 12, 12 divided by 4 = 3

180 divided by 4 = 45

Answer:

yes its 45 i did the test and i got an 100

Step-by-step explanation:

heres proof

Answer:

y=2^x

Step-by-step explanation:

Knowing the roots first write the equation in factored form:

(X - 3/4)(x +5) = 0

Now use the FOIL method ( multiply each term in one set of parentheses by each term the other set:

X•x + x•5 -3/4•x -3/4•5

Simplify:

X^2 + 5x -3/4x -3 3/4

Combine like terms:

X^2+ 4 1/4x - 3 3/4

Answer:

-6=2/3*-6

Step-by-step explanation:

y=mx+b

slope = m b=y intercept

edg2021

28.571429% that is 2

hope this helped

Answer:

50% Is the answer

Answer:

The axis of symmetry is x=3, the vertex of the graph is (3,-2)

Step-by-step explanation:

[tex]f(x)=(x^{2} -6x+9)-9+7[/tex]

[tex]=(x-3)^{2} -2[/tex]

Answer:

Science students

Step-by-step explanation:

9514 1404 393

Answer:

  B  80 square inches

Step-by-step explanation:

The area of a parallelogram has the same formula as the area of a rectangle:

  A = bh . . . . . b is the base; h is the height

  A = (10 in)(8 in)

  A = 80 in²

The minimum amount of material needed is 80 square inches.

Answer:

The answer is 80

Step-by-step explanation:

Hope this helps

Answer: 390625

The quiz has 5 choices for each question, so there are 5 ^ 8   ways to answer the quiz questions.

In other words, you can calculate the possible numbers of answers = 5x5x5x5x5x5x5x5 = 390625