2. Given f(x) = 4x -2 and g(x) = x2 + 1, evaluate:

a) f(5)
b) g(-3)
c) g(x - 2)
d) f(g(x))

Answers

Answer 1

Answer:

a).

f(5) = 18

b).

g(-3) = 10

c).

g(x-2) = x²- 3

d).

f(g(x)) = 4x²- 1


Related Questions

whats the area of this shape

Answers

Answer:

54 or 57 (read explanation below)

Step-by-step explanation:

There is a mistake in the problem.

The bottom base has length 10 not 11.

Using the correct length of 10, the area is:

A = (1/2)h(b1 + b2)

A = (1/2)(6)(10 + 8)

A = 3(18)

A = 58

Using the incorrect length of 11, the area is:

A = (1/2)h(b1 + b2)

A = (1/2)(6)(11 + 8)

A = 3(19)

A = 57

The rectangular top of a small box has dimensions of 140 mm by 230 mm.

How long (in centimeters) would a ribbon need to be to go all the way around the edge of the top of the box?

A.) 740 cm
B.) 74 cm
c.) 37 cm
D.) 7,400 cm

Answers

Answer: B. 74 cm

Step-by-step explanation:

Concept:

Here, we need to know the idea of unit conversion and perimeter.

When there are multiple units in a question, then we should convert all units into one through converting factors.

Perimeter is the distance around a two-dimensional figure.

P = 2 (w + l)

1 cm = 10 mm

Solve:

140 mm = 14 cm

230 mm = 23 cm

P = 2 (w + l) ⇒ Given

P = 2 (14 + 23) ⇒ Substitute

P = 2 (37) ⇒ Addition

P = 74 cm ⇒ Simplify through muliplication

Hope this helps!! :)

Please let me know if you have any questions

Find the marked angles in each of the following. (where a point O is given it is the centre of the circle.)​

Answers

Answer:

answer is in the attachment.

How many different numbers are possible?

A personal identification number consists of 3 letters followed by 3 digits. The letters X, Y, and Z are not used and the last digit cannot be 0 or 9.

Answers

Each of the first 3 letters can be chosen from the 23 letters, {A, B, C, …, U, V, W}, so there are 23³ possible choices.

The first 2 digits can be any number from {0, 1, 2, …, 9}, so there are 10² choices.

The last digit cannot be 0 or 9, so you can select from {1, 2, 3, …, 8} which gives 8 choices.

Then the total number of PINs that you can make is

23³ × 10² × 8 = 9,733,600

Guys Help me

Does (4, 7) make the equation y = 2x + 7 true?

Answers

Answer:

false

Step-by-step explanation:

x=4andy=7

2×4+7 isnot equal to 7

Answer:

Tue equation is

y=2x+7

So, the answer is

(2,7)

And (4,7) is wrong

6. If the zeros of a quadratic funtion, f(x), are -2 and 6, what is the equation of the axis of
symmetry of f(x)?
ints
a. X= -2
b. X= 2
c. X= 4
d. Cannot be determined

Answers

Answer:

B

Step-by-step explanation:

We are given a quadratic function f(x) whose zeros are at x = -2 and x = 6.

And we want to determine its axis of symmetry.

Recall that a parabola is symmetric about its axis of symmetry.

Therefore, the axis of symmetry is directly in the middle of the two roots.

Find the average of the roots:

[tex]\displaystyle x=\frac{(-2)+(6)}{2}=\frac{4}{2}=2[/tex]

Hence, the axis of symmetry is x = 2.

Our answer is B.

In general, if we are given the two zeros p and q of a quadratic and we want to find the axis of symmetry x, it is given by:

[tex]\displaystyle x = \frac{p+q}{2}[/tex]

Can someone help me please ?

Answers

Answer:

I would say D is your answer

Step-by-step explanation:

Answer:

the fourth one

use mathaway its like my best friend for math!!!

Step-by-step explanation:

What is the value of f ^-1 (0)? ( photo given )

PLEASE HELP ME, I would greatly appreciate it !!! ​

Answers

Answer:

[tex] {f}^{ - 1}(0) = 6[/tex]

Step-by-step explanation:

When trying to solve for inverses, we are given a y value in place of an x value. Thus we are solving for the x value which the given y value corresponds to.

What do I need to do to be able to solve this problem?

Answers

9514 1404 393

Answer:

  (x, y, z) = (5, 11, 6)

Step-by-step explanation:

To solve this problem, you need to understand "row operations". The ones we're concerned with are multiplying a row by a scalar, and adding rows together.

You also need to understand what the solution looks like, and the usual way that is achieved. The solution will have the 3×3 matrix left of the vertical line be a diagonal of 1s (the identity matrix). Then the numbers to the right of the vertical line represent the solution.

__

In the following, we will use the notation [a]+b[c]⇒[d] to mean that row 'a' is added to the product of row 'c' and the scalar 'b' and that sum replaces row [d]. Multiplying a row by a scalar multiplies each element in the row by that scalar.

The first several operations look like this. Notice we have made the upper left 2×2 matrix an identity matrix. Steps will continue to take care of the 3rd column.

  [tex]\left[\begin{array}{ccc|c}1&1&1&22\\6&1&8&89\\-6&4&4&38\end{array}\right] \qquad\text{given}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&-5&2&-43\\0&5&12&127\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ 6[1]+[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ $-\frac{1}{5}$[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[1]-[2]$\rightarrow$[1]}[/tex]

Now, we normalize the third column.

  [tex]\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&1&6\end{array}\right] \qquad\text{$\frac{1}{14}$[3]$\rightarrow$[3]}\\\\\left[\begin{array}{ccc|c}1&0&0&5\\0&1&0&11\\0&0&1&6\end{array}\right] \qquad\text{$-\frac{7}{5}$[3]+1$\rightarrow$[1];\ $\frac{2}{5}$[3]+[2]$\rightarrow$[2]}[/tex]

This is the target of our row operations. It tells us the solution to the system of equations is ...

  (x, y, z) = (5, 11, 6)

_____

A number of online calculators and phone or tablet apps are available for putting a coefficient matrix into this "reduced row-echelon form." Many graphing calculators will do this, too.

In the end, this is not terribly different from ad hoc solution using "elimination" methods. That is precisely what we did when we created the zeros in the first two columns of row 3.

mathematics question ​

Answers

Answer:

it's option B the second one

The above answer is correct

what is the value of k if the function f(x)=(2-k)/(5x+k) if the graph of the function passes through the point (-1,1/2)

Answers

Answer:

k = 3.

Step-by-step explanation:

At the given point x = -1 an f(x) = 1/2, so we have the equation:

1/2 = (2 - k)/(5(-1) + k)

(2 - k)/(k - 5) = 1/2

Cross multiplying:

2(2 - k) = k - 5

4 - 2k = k - 5

-2k - k = -5 -4

-3k = -9

k = 3.

Solve the following quadratic function
by utilizing the square root method.
y = 100 – x2

Answers

Answer:

x = ± 10

Step-by-step explanation:

To solve the equation let y = 0 , that is

0 = 100 - x²( add x² to both sides )

x² = 100 (I take the square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

Then solution is x = - 10, x = 10

Answer:

10

Step-by-step explanation:

the guy on top put -10 he's right but it's just 10

The value of cube root of x^10, when x = -2, can be written in simplest form as a^3 times the square root of b, where a = _____ and b = ______.

Answers

Answer:

[tex]a = 2[/tex]

[tex]b = 2^{1/6}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]

[tex]x = -2[/tex]

Required

Find a and b

We have:

[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]

Substitute -2 for x

[tex]\sqrt[3]{(-2)^{10}} = a^3 * \sqrt b[/tex]

[tex]\sqrt[3]{1024} = a^3 * \sqrt b[/tex]

Expand

[tex]\sqrt[3]{2^9 * 2} = a^3 * \sqrt b[/tex]

Split the exponents

[tex]2^{(9/3)} * 2^{(1/3)} = a^3 * \sqrt b[/tex]

[tex]2^{3} * 2^{1/3} = a^3 * \sqrt b[/tex]

By comparison:

[tex]a^3 = 2^3[/tex]

So;

[tex]a = 2[/tex]

and

[tex]\sqrt b = 2^{1/3}[/tex]

Take square roots of both sides

[tex]b = 2^{1/6}[/tex]

Answer: -8, -2

Step-by-step explanation: (the previous answers are ) 1. D 2. C 3. -8,-2 (for reference of order :))

4(x-3)+5x-x^2 for x=3

Answers

Answer:

6

Step-by-step explanation

Answer:

6

Step-by-step explanation:

plug in the 3

4(3-3)+5(3)-3^2

4(0)+15-9

0+15-9

15-9

6

please help, it is associated with angles. thank u ;)

Answers

Answer:

angle c is 63

Step-by-step explanation:

Angles in a triangle add up to 180 therefore

70+47+x=180

x=180-117

=63°

I hope this helps

Angel c is 63, hope this helps

Mr. Matthew was testing the only popularity of us custom-made belts and wallets that are marked differently some items were sold prior to the online launch date

Answers

Complete question is;

Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items were sold prior to the online launch date.

The equation below represents the number of belts sold, s, x days after its online launch. S = 3^(x)

The equation below represents the number of wallets sold, s, x days after its online launch. S = 4x + 15

Using graphing technology, complete the statements. After ___ days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is ___

Answer:

Number of days = 3 days

Total belts and wallets after 3 days = 54

Step-by-step explanation:

We are told that the number of belts sold, s, x days after its online launch. S = 3^(x)

Also, we are told that the number of wallets sold, s, x days after its online launch. S = 4x + 15

Now, we want to find the Number of days that total number of belts sold will be the same as the total number of wallets sold using graphing technology.

The number of days will simply be the value of x where the two graphs meet.

I have drawn the graph of both equations.

From the attached graph, we can see that the x-value at where the both graph lines meet is approximately 3. I didn't take the negative solution because number of days cannot be negative.

Thus, x = 3

Putting x = 3 in;

S = 3^(x)

S = 3^(3)

S = 27

Similarly, Putting x = 3 in;

S = 4x + 15

We have;

S = 4(3) + 15

S = 12 + 15

S = 27

Thus,total number of belts and wallets sold after 3 days = 27 + 27 = 54

!!Plz urgent help!!
this triangular prism can contain that holds beads that are spherical and each 0.525 cm. How many
beads can fit inside this container?
Will mark brainliest

Answers

Answer:

890 beads can be fitted in the triangular prism.

Step-by-step explanation:

If we can fill the spherical beads completely in the triangular prism,

Volume of the triangular prism = Volume of the spherical beads

Volume of triangular prism = Area of the triangular base × Height

From the picture attached,

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(AB)(BC)[/tex]

By applying Pythagoras theorem in the given triangle,

AC² = AB² + BC²

(13)² = 5² + BC²

169 = 25 + BC²

BC² = 144

BC = 12

Area of the triangular base = [tex]\frac{1}{2}(5)(12)[/tex]

                                             = 30 cm²

Height of the triangular prism = 18 cm

Volume of the triangular prism = 30 × 18

                                                   = 540 cm³

Volume of one spherical bead = [tex]\frac{4}{3}\pi r^{3}[/tex]

                                                   = [tex]\frac{4}{3}\pi (0.525)^{3}[/tex]

                                                   = 0.606 cm³

Let there are 'n' beads in the triangular prism,

Volume of 'n' beads = Volume of the prism

540 = 0.606n

n = 890.90

n ≈ 890

Therefore, 890 beads can be fitted in the triangular prism.

Simplify as far as possible;
x²+ 3x²-4x²+5x

Answers

Answer:

5x

Step-by-step explanation:

[tex] {x}^{2} + {3x}^{2} - {4x}^{2} + 5x \\= 4 {x}^{2} - 4 {x}^{2} + 5x \\ = 5x[/tex]

Please help urgent!!! Find the value of x in the triangle shown below!

Answers

Answer:

Step-by-step explanation:

so we know a few things about t his triangle,  it's a special one  :P  ,   it's called isosceles because  two of the legs are the same length, which also mean that the angle x  is the same at the other unknown angle sooo  there are  2 x's   if that makes sense?  and then we can solve this , b/c we also know that the interior angles of a triangle add up to 180°

180 = 32 + 2x

148 = 2x

74 =x

∠x = 74°

PLEASE HELPP URGENT
20 points!!!

Answers

If you're talking about the second part of the question where it asks you which facts you included in your answer, you can choose any of them and it will be counted right.

For each graph below, state whether it represents a function.

Answers

Graph1-Yes
Graph2-yes
Graph 3- NO
Graph4-yes
Graph5-No
Graph6/No

Graph exists as an illustration of any object or a physical format by dots, lines, etc.

What is graph function?

The graph of a function f exists the set of all points in the plane of the form (x, f(x)). We could also describe the graph of f to be the graph of the equation y = f(x). So, the graph of a function exists in a particular case of the graph of an equation.

A function is defined as a connection between a set of inputs containing one output each. In simple words, a function exists as an association between inputs where each input is connected to exactly one output. Every function includes a domain and codomain or range. A function exists generally represented by f(x) where x is the input.

From the given figure,

Graph 1 exists a function.

Graph 2 exists a function.

Graph 3 doesn't exist as a function.

Graph 4 exists a function.

Graph 5 doesn't exist as a function.

Graph 6 doesn't exist as a function.

Hence, Graph exists as a representative of any object or a physical design by dots, lines, etc.

To learn more about graph refer to:

https://brainly.com/question/11803331

#SPJ2

the verticies of the triangle OAB are the origin O, A(-15,0) and B(0,8)

What is the relationship between G and the triangle OAB

G(-7.5,4)

Answers

Answer:

G is the midpoint of the side [tex]\overline {AB}[/tex] of triangle ΔOAB

Step-by-step explanation:

The vertices of the triangle ΔOAB are A(-15, 0), B(0, 8), and C(0, 0)

The coordinates of the point G =  (-7.5, 4)

The length from the point A to the point G, [tex]\overline {AG}[/tex] is given as follows;

[tex]\overline {AG} =\sqrt{(-7.5 - (-15))^2 + (4 - 0)^2} = \sqrt{7.5^2 + 4^2} = 8.5[/tex]

The length from the point A to the point B, [tex]\overline {AB}[/tex] is given as follows;

[tex]\overline {AB} =\sqrt{(-15 - 0)^2 + (8 - 0)^2} = \sqrt{15^2 + 8^2} = 17[/tex]

Therefore, the point G is the half way mark of [tex]\overline {AB}[/tex] = The midpoint of the side  [tex]\overline {AB}[/tex]

a bag contains 10 white balls and 14 red balls.a ball is taken out of the bag,what is the probability that it is a red ball​

Answers

Answer:

7/12

Step-by-step explanation:

Total = 10W+14R

probability of red = R/total

10+14 = 24 so total = 24

R = 14

14/24

reduce (divide by two on the top and bottom)

14/2

-------

24/2

= 7/12

Please help ASAP!!!! What is the length of BC?

Answers

Answer:

x=24

Step-by-step explanation:

Answer:

BC = 24

Step-by-step explanation:

Since ∠ B and ∠ C are congruent the the triangle is isosceles with

AC = AB , that is

3x - 15 = x + 33 ( subtract x from both sides )

2x - 15 = 33 ( add 15 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

BC = x = 24

James brought a dress & t-shirt for $85 and it is 5 times as much as t-shirt how much did James pay for the t-shirt.

Answers

Answer:

$17

Step-by-step explanation:

You reverse the operation, and you do 85 divided by 5, which is 17. Have an amazing day!!

A dealer spent a total amount of $5250 for importing some cosmetics. If the total cost of the cosmetics was $5000 without tax, what was the percentage of import tax?

Answers

Answer:

5%

Step-by-step explanation:

First, find the amount of tax:

5250 - 5000

= 250

Divide this by the original price of $5000 to find the percent of import tax:

250/5000

= 0.05

So, the percent of import tax is 5%

y = 5x + 9 (-2, -3) pls help me

Answers

Answer:

Not a solution.

Step-by-step explanation:

y = 5x + 9

-3 = 5(-2) + 9

-3 = -10 + 9

-3 ≠ -1

The point given is not on the line. It is NOT a solution to the equation.

Hope this helps.

yes or no? please help

Answers

Answer:

yes

Step-by-step explanation:

....

Helppppp pleaseeee anyoneeeeeee!!!!!!!!!!!!!

Answers

Answer: 314.5

Explanation

Divide the areas into conventional shapes with determined formulas, rectangles, triangles and add them together

(17x5)+(18x4)+(21x15/2)

= 314.5

Hope this helps :)

How do I find the low value of a box plot

Answers

The far left of the chart is the minimum(low) value of the box plot.

Answered by Gauthmath must click thanks and mark brainliest

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