Two functions are defined as follows: f : x → 2x - 3 and g : x → x2 - 1
(i) Calculate f(5)
(ii) g( - 3) =
(iii) fg(x)=
(iv)gf(x)=
(v) f-1(x)=

Answer:

r=15

Step-by-step explanation:

180= 6r-4+94

180 = 6r+90

180-90 = 6r

90=6r

r=90/6

r=15

Answer:

r=15

180= 6r-4+94

180 = 6r+90

180-90 = 6r

90=6r

r=90/6

r=15

Step-by-step explanation:

Brainleist

Answer:

w = 60

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

w + 20 is an exterior angle of the triangle , then

w + 20 = w - 10 + w - 30

w + 20 = 2w - 40 ( subtract w from both sides )

20 = w - 40 ( add 40 to both sides )

60 = w

Answer:

w=60°

Step-by-step explanation:

triangle=180°

angle on a straight line=180°

using that,

we need to find the angle on the same line with that of "w+20°" angle, so we name it as "X"

so, 180-(w+20)=X

expand bracket by multiplying it with the "-"

so it'll be: 180-w-20=X

then rearrange to get like terms together

180-20-w=x

160-w=x

so the missing angle in the triangle is now (160-w)°

now using the angles in a triangle =180°

we add all the angles and equate it to 180, so:

w-30+w-10+160-w=180°

collect like terms again:

w+w-w-30-10+160=180

2w-w+120=180

w+120=180

move 120 to the other side and remember the sign changes, so:

w=180-120

therefore w=60°

now you can substitute w=60 into the triangle and see you'll get 180°

hope that helps

Kat is painting the four walls of her bedroom. She paints 52 square feet in 2/3 of an hour. How many square feet does she paint per hour?

78 sq. ft

★ 2/3 of an hour ⤏ 2/3 x 60 = 40 minutes

★ An hour ⤏ 60 minutes

Hence , kat can paint 78 sq. ft in an hour

Answer:

[tex]1 \frac{1}{2}[/tex]

Any numerator that is greater than the denominator is considered an improper fraction but can be converted to a mixed number.

Mixed numbers look like the fraction shown above.

Answer:

0.95=95%

Step-by-step explanation:

25,000*0.95=23750

Answer:

[tex]one\\whole\\or\\\frac{4}{4}[/tex]

hope this helps!

The most reasonable value of n  n = -2.

We have given that the length of the football field = 300 feet

It can also be expressed as approximately  [tex]5.7\times 10^{n}miles[/tex]

Also, 1 mile = 5280 feet....(1)

We have to find 1 feet so divide both side of equation (1)by by 5280 we get,

[tex]1feet=\frac{1}{5280}[/tex]

Now, for 300 feet is,

[tex]300feet=\frac{1}{5280}(300)[/tex]

[tex]300 feet=0.056818181=0.057miles[/tex]

In scientific notation we have,

[tex]300 feet=5.7\times 10^{-2}miles[/tex]

Therefore we get  n = -2.

To learn more about the value of power of 10 visit:

https://brainly.com/question/2193418

Answer:

B. cos F = 9/41, cos E = 40/41

Step-by-step explanation:

use SOH CAH TOA

cosine is CAH which is adjacent over hypotenuse

the adjacent side to F is 9 and the hypotenuse is 41 so 9/41

the adjacent side to E is 40 and the hypotenuse is 41 so 40/41

hope this helped! :)

Answer:

Total cost= 99 + 2.97x

Step-by-step explanation:

Giving the following information:

Fixed cost= $99

Variable cost= 3% per person

First, we need to calculate the 3% of 99:

Unitary variable cost= 99*0.03= $2.97

Now, we establish the total cost structure:

Total cost= 99 + 2.97x

x= number of people in attendance

Finally, suppose 200 people attend the party:

Total cost= 99 + 2.97*200

Total cost= $693

Answer:

99+3x

Step-by-step explanation:

Given;

Party cost $99

$3 per person who attends

To Find;

Which expression can Jess use to figure out the total amount of money she owes at the end of the party?

Solve;

Since, we don't know the total amount of money she owes at the end of the party.  Total amount of money she owes at the end of the party = x

Thus, Party Costs ($99) plus per person who attends($3)  and Total amount of money she owes at end of party (x)

As well as,

[A] 33x, [B] 33 + x, and [D] 99x+3 didn't clearly or completely shows  the party's situation. Hence, the Best Answer is [C] 99+3x

[RevyBreeze]

Based on the absolute deviations and the predicted values, the sum of absolute deviations will be 4.8.

This can be found as:

= ∑ (Observed value - Predicted value)

The observed values are given in the table and the predicted values will be calculated using y = 3.6x - 0.4.

Solving gives:

=  [3 - (3.6 x 1 - 0.4)] + [7 - (3.6 x 2 - 0.4)] + [ 9 - (3.6 x 3 - 0.4)] + [14 - (3.6 x 4 - 0.4)] + [15 - (3.6 x 5 - 0.4)] + [21 - (3.6 x 6 - 0.4)] + [25 - (3.6 x 7 - 0.4)]

= 0.2 + 0.2 + 1.4 + 0 + 2.6 + 0.2 + 0.2

= 4.8

Find out more on absolute deviation at https://brainly.com/question/447169.

Answer:

The choice A) 5.9

Step-by-step explanation:

[tex] \sin(36) = \frac{x}{10} \\ \\ 0.587785 = \frac{x}{10} \\ \\ x = 10 \times 0.587785 \\ \\ x = 5.87785 \\ \\ x = 5.9[/tex]

Step-by-step explanation:

x=10x=8

8=10x-8

8=9x

divide both side by 9

x=8 out of 9

Answer:

Step-by-step explanation:

f(x) = one of two values. There is a value given for what happens when x<>-1 and another when x is equal to minus 1. Which do you want?

Examine what f(x) means. It means that wherever you see an x value on the right, you put in the value shown for x on the left.

Try another example.

f(x) = x^2 - 2x

f(4) = 4^2 - 2*4     Whatever is shown on the left is put into the x on the right.

Same with your question

f(-1) means that the only possible answer is 5

ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.

Congruent triangles are triangles whose corresponding sides are congruent to each other.

The hypotenuse of triangle JKL(KL = 10) is congruent to a leg of triangle XYZ (YX = 10). This implies that they cannot be congruent triangles.

Therefore, ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.

Learn more about congruent triangles on:

https://brainly.com/question/11457412

Answer: The answer is C

Step-by-step explanation: Just took the test on edge

Answer:

y < 106

Step-by-step explanation:

Step 1: Add 21 to both sides.

Therefore, the solution is y < 106.

To graph it on a graph:

Answer:

Volume: 75.39 ft^3

Surface area: 100.5 ft^2

Step-by-step explanation:

To find volume, you use the formula V=πr^2h (V=3.14*2^2*6)

To find the surface area you use formula A=2πrh+2πr^2 (A=2*3.14*2*6+2*3.14*2^2)

Answer:

Step-by-step explanation:

The correct answer in this case would be A. There is only 1/8th percent chance of the spinner landing on 4.

There are 8 sections in the circle.  So our denominator will be 8.  We are looking to find how many 4s there are in the circle.  Since there is only ONE 4 in the circle, our nominator will be 1.  So, when we put that together, we get 1/8.

Answer:

1/8

Step-by-step explanation:

Given/To Find:

P(4)

Solve:

Since there are 8 number on the spinner. Which given us denominator will be 8.  And ONLY one of them is 4. Thus, Nominator will be 1.

Hence, that given us 1/8

~Learn with Lenvy~

28 units :)

12 + 16 = 28

Answer:

A

Step-by-step explanation:

Volume of a rectangular prism  = l*b *h

Where base area = l*b

Volume = base area * h

Base area * height = Volume

15 * height = 180

     height = 180/15

     height = 12 inches

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, we have

By using Angle sum property

That,

[tex]\bold{\angle{X + }}{\bold{\angle{Y + }}}{\bold{\angle{Z = 180}}}{\degree}[/tex]

Subsitute the required values,

[tex]\sf{ 60{\degree} + 20{\degree} + C = 180{\degree}}[/tex]

[tex]\sf{ 80{\degree} + C = 180{\degree}}[/tex]

[tex]\sf{ C = 180{\degree} - 80{\degree}}[/tex]

[tex]\sf{ C = 100}{\degree}[/tex]

Thus, The value of C is 180°

We have to find the measurement of Angles A and B

Here,

[tex]\sf{\angle{B + }}{\sf{\angle{ x + }}}{\sf{\angle{C = 180}}}{\degree}[/tex]

[tex]\sf{\angle{ B + 20{\degree}+ 100{\degree} = 180{\degree}}}[/tex]

[tex]\sf{\angle{ B + 20{\degree} = 180{\degree}- 100{\degree}}}[/tex]

[tex]\sf{\angle{ B = 80{\degree} - 20{\degree}}}[/tex]

[tex]\sf{\angle{ B = 60{\degree}}}[/tex]

[tex]\sf{\sf{A + }}{\sf{\angle{B + }}}{\sf{ 100{\degree} = 180}}{\degree}[/tex]

[tex]\sf{\angle{ A + 60{\degree} = 180{\degree} - 100{\degree}}}[/tex]

[tex]\sf{\angle{ A = 80{\degree} - 60{\degree}}}[/tex]

[tex]\sf{\angle{ A = 20{\degree}}}[/tex]

Hence, The measure of Angles A, B and C are 20° , 60° and 100° .

Answer:

(−13)

Step-by-step explanation:

all lines perpendicular to it have a slope of

(

−

1

m

)

3

x

−

y

=

8

can be written as

XXXX

y

=

3

x

−

8

which is the slope intercept form, with a slope of

3

Any line perpendicular to

3

x

−

y

=

8

will have a slope of

(

−

1

3

)

[tex] \cos(x) = \frac{b}{h} \\ \cos(x) = \frac{4 .9}{6.8} \\ \cos(x) = 0.720 \\ x = \cos^{ - 1} (0.720) \\ x = 44 \degree[/tex]

Answer:

x ≈ 44°

Step-by-step explanation:

        We will use a trigonometry function to solve for x. We can see that we have values for the adjacent side and hypotenuse. This means we will be using cosine. Cosine is [tex]\frac{adjacent }{hypotenuse}[/tex]

cos(x) =  [tex]\frac{adjacent }{hypotenuse}[/tex]        [Given]

cos(x) =  [tex]\frac{4.9}{6.8}[/tex]                   [Plug-in the values we have]

x ≈ 43.8969                 [Find the inverse cosine function of both sides]

x ≈ 44°                          [Rounding to nearest degree]

Answer:

B. 28 + 14 = x

Step-by-step explanation:

Susie bought 14 dolls this week. Last week she had 28 dolls. determine how many dolls Susie has now.

using this info we know that we must find the sum of both numbers.

Hence, Answer B has the correct equation

inequation something like that