can you please help me with functions

Answer:

a) -x(4[tex]x^{2}[/tex] -x +1)

b) 4[tex]x^{3}[/tex] (x-1)

c) -12[tex]x^{2}[/tex] - 3x + 3

Step-by-step explanation:

Most of it is really just a matter of substituting expressions in. here's how i did it:

f(x) = x-1

g(x) = 4[tex]x^{2}[/tex]

a) (f-g) x [tex]x[/tex]

= (x - 1- 4[tex]x^{2}[/tex]) x [tex]x[/tex]

= x(- 4[tex]x^{2}[/tex]+x-1)

= -x (4[tex]x^{2}[/tex] - x + 1)

*you can take the negative out of the bracket or not, i did though - just makes it neater. They are both right.

b) (fxg) x [tex]x[/tex]

= (4[tex]x^{2}[/tex](x-1)) x [tex]x[/tex]

= 4[tex]x^{3}[/tex] (x-1)

*just bring the x to the front and times it with the 4[tex]x^{2}[/tex]

c) (f+g) x -3

= (x - 1 + 4[tex]x^{2}[/tex]) x -3

= -3 (4[tex]x^{2}[/tex] + x -1)

= -12[tex]x^{2}[/tex] - 3x + 3

*just bring the -3 to the front and times it with the whole bracket to expand since it said evaluate

Hope that helped : )

Answer:

(-3.5,2.5)

Step-by-step explanation:

[tex]m=\left( \dfrac{-6+-1}{2},\dfrac{-2+5}{2} \right)=\left( \dfrac{-7}{2},\dfrac{3}{2}\right)=\left( -3.5,2.5 \right)[/tex]

Hope this helps!

Answer:

B

Step-by-step explanation:

Expressing the ratios as fractions, that is

[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{1}[/tex] ( cross- multiply )

a = 3b

[tex]\frac{b}{c}[/tex] = [tex]\frac{1}{5}[/tex] ( cross- multiply )

c = 5b

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

Given

[tex]\frac{2a+3b}{4b+3c}[/tex] , substitute values from above for a and c

= [tex]\frac{2(3b)+3b}{4b+3(5b)}[/tex]

= [tex]\frac{6b+3b}{4b+15b}[/tex]

= [tex]\frac{9b}{19b}[/tex] ← cancel b on numerator/ denominator

= [tex]\frac{9}{19}[/tex] → B

Answer:18

Step-by-step explanation:because it was in the same column

Answer:

Its actually 24 because 4 times 6 is 24 and 12 times 2 is 24

Answer:

it had made of two lines including an angle...

Answer:

So the class mark of class interval 30 - 40 is " 35 "

Answer:

idk

Step-by-step explanation:

i don't see any statements jsjsjsjsjsjs

The solution to the expression 6x - 2x + 8y - 6y is 4x + 2y

From the question, we have the following parameters that can be used in our computation:

6x - 2x + 8y - 6y

Collect the like terms in the expression

So, we have the following representation

6x - 2x + 8y - 6y = 6x - 2x + 8y - 6y

Evaluate the like terms in the expression

So, we have the following representation

6x - 2x + 8y - 6y = 4x + 2y

Hence, the simplified expression is 4x + 2y

Read more about expressions at

https://brainly.com/question/30492964

#SPJ6

Answer:

20

Step-by-step explanation:

The height of the platform is when t=0

h(0) = -4(0)^2 + 75(0) +20

        =20

The height of the platform is 20

Answer:

7.04

Step-by-step explanation:

To get the value of residual of the data point, we simply substitute 11 for t

The substitution equation is h = 0.6t + 0.44

Substituting 11, we have

h = 0.6(11) + 0.44

h = 6.6 + 0.44

h = 7.04

Answer:

The residual of the data point h = 0.6t + 0.44, is h = 7.04.

Step-by-step explanation:

Given the line of fit, h = 0.6t + 0.44, which Brenda collected from an experiment, at the point t = 11, the residual of the data point is obtained by replacing t with 11 in the given equation h = 0.6t + 0.44.

Doing this, we have

h = 0.6(11) + 0.44

h = 6.6 + 0.44

= 7.04

This is what we want to obtain.

Answer:

C and D

Step-by-step explanation:

Answer:The answer is negative three

Step-by-step explanation:

Answer: -2.6%

Step-by-step explanation:

Percent error is the difference between the measured and known value, and then we divide by the known value, and then multiply by 100%.

Estimated.number = 15.4 grams.

Actual number = 15.8 grams

Percentage error = (Estimated number - Actual number)/Actual number × 100

= (15.4 - 15.8)/15.8 × 100

= -0.4/15.8 × 100

= 0.0253 × 100

= 2.53

= -2.6% approximately

Answer:

Yes, but no

Step-by-step explanation:

So the trapezoid is a quadrilateral because it has four sides. ... A rectangle can also be termed as trapezoid as its one pair of opposite is parallel and equal. On the other hand a trapezoid may not have all its internal four angles as right angles but a rectangle must have all its angles as right angles.

Hope this helps you

Answer:

BC = 60

Step-by-step explanation:

3X + X = 80      <---- X = BC

3X + X = 4X

4X = 80   <---- DIVIDE BOTH SIDES BY 4

4X ÷ 4 = X

80 ÷ 4 = 20

20 × 3 = 60

Answer:

AB = 20 m

BC = 60 m

Step-by-step explanation:

Let AB be x

So BC becomes 3x

AC is 80 metres

So,

x+3x = 80

4x = 80

Dividing both sides by 4

x = 20

So,

AB = 20 metres

While

BC = 3(20) = 60 metres

Answer:

18 1/2

Step-by-step explanation:

1/2z = 9 1/4

1/2z = 37/4

z = 74/4 (Multiplied on both sides by 2 to get of the 1/2)

z = 18 1/2

Answer:

C=150.72 cm

A=1808.64 cm square

Step-by-step explanation:

If you are given the diameter(radius) of a circle you can find the area and the circumference of a circle.

since d(diameter)=2r(radius)

         48=2r

         r=24

[tex]C=2\pi r\\ C=2*3.14*24\\C=6.28*24\\C=150.72cm[/tex]     If we found the circumference only the area is left.

[tex]A=\pi r^{2} \\A=3.14*24^{2} \\A=3.14*24*24\\A=3.14*576\\A=1808.64 cm^{2}[/tex]

Answer:

2x²  +  3x  - 1   - 5/(5x +2)

Step-by-step explanation:

               2x²  +  3x  - 1  

             __________________            

  5x + 2 |   10x³ + 19x² + x - 7

             |  -10x³ -   4x²  

             |              15x² + x

             |            - 15x² - 6x  

             |                     - 5x  - 7

             |                      5x   +2

             |                             - 5

2x²  +  3x  - 1   - 5/(5x +2)

Answer:

Given below hope it helps!

Step-by-step explanation:

The steps for changing from plural to singular are:

If there is an (s) after the word remove

If there is an ies after the word remove and add y

If there is ves remove and add f or fe

However there are a few exceptions and I will point it out in the answer:-

1) body

2) joy

3) loaf

4) coolie

(In this cooly won't make sense so we just remove the s)

5) key

6) bush

7) sheep

(The singular of sheep is also sheep)

8) watch

9) storey

10) ray

11) foot

(The singular is foot because no other rule applies to this word, this is an exception)

12) wife

13) child

(This is an exception too where we remove ren)

14) lily

15) fairy

Answer:

The equation is 20 + 15x. Bill took 7 lessons.

Step-by-step explanation:

Let x represent the number of lessons Bill take. Then,

the total cost = materials fee + (each lesson cost).x

Since the materials fee is $20 and each lesson costs $15

The total cost = 20 + 15x

Since Bill's total cost was $125:

→ 125 = 20 + 15x

→ 105 = 15x

→ x = 7

Answer:

The measure of variability should be used.

Step-by-step explanation:

It is provided that Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded the cores for each round.

Now to determine in which month Rickie's score varied the most the measure of variability would be used and not measure of center.

This is because:

The Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.

Whereas the measure of variability is used to determine the amount of variability in the data set. They represent how far the observations are from the center of the data set.

Thus, to answer his mother's question, the measure of variability should be used.

Answer: 2+3

Step-by-step explanation:

Answer:

Integers are whole numbers that are either positive or negative. Operation of signs is important when dealing with integers.

In this case, -3 and -2 are integers that are being added.

if we add -3 by -2 we get -6 because when a negative number is added to a negative number the negative sign does not change

thus, (-3)-2 = -5

Answer:

5

Step-by-step explanation:

we want to find f(2)

f(x) = 2x+1

Let x=2

f(2)= 2*2+1

     = 4+1

    =5

Question:

Which expression represents the number [tex]3 + \sqrt{-4}[/tex] rewritten in a+bi form?

Answer:

3 + 2i

Step-by-step explanation:

Let y = [tex]3 + \sqrt{-4}[/tex] ...............(1)

[tex]y = 3 + (\sqrt{4}) (\sqrt{-1} )\\[/tex].............(2)

The complex number representation of [tex]\sqrt{-1} = i[/tex]  and [tex]\sqrt{4} = 2[/tex]

Make these substitutions into equation ( 2)

[tex]y = 3 +2i\\[/tex] is in the form a + bi

Where a = 3 and b = 2

Answer:

All A. B. C. D.

Step-by-step explanation:

A B C D are all the correct answers

¯\_(ツ)_/¯

Answer: NEGATIVELY SKEWED

Step-by-step explanation: I just took the assignment ;)

Answer:

A. B. A.

Step-by-step explanation:

negatively skewed

less than the median

greater than the median

Answer:

[tex]47.25\[/tex]

Step-by-step explanation:

[tex]42 \times 1.125[/tex]

[tex]=47.25[/tex]

Answer:

$25.2

Step-by-step explanation:

Answer: Krista put 0.40 in the first equation meant for the number of stamps

Step-by-step explanation: From the information available to Krista, she can determine the number of stamps that cost 40 cents and those that cost 55 cents. What she needs is a system of simultaneous equations both of which would use the total number of stamps and the total cost of stamps to determine the how many stamps cost 40 cents and how many costs 55 cents.

The system of equations should have been,

x + y = 45 ----------(1)

0.40x + 0.55y = 18.75 ----------(2)

From equation (1), let x be the subject of the equation and hence x = 45 - y

Substitute for the value of x into equation (2)

0.40(45 - y) + 0.55y = 18.75

18 - 0.40y + 0.55y = 18.75

Collect like terms and you now have

0.55y - 0.40y = 18.75 - 18

0.15y = 0.75

Divide both sides of the equation by 0.15

y = 5

When y has been calculated as 5, substitute for the value of y into equation (1)

x + y = 45

x + 5 = 45

x = 45 - 5

x = 40

The results show that the stamps that cost 0.40 cents (x) were 40 in number while those that cost 0.55 cents (y) were 5 in number.

This answer could not have been derived due to the mistake Krista committed when writing the equations.

Answer:

a

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

If the slope is positive, it signifies the function is increasing, and if it's negative, it's decreasing. If the slope is exactly 0, the function is stagnant, a horizontal line