Perform the indicated operation.
f (x) = x2 − 4 g(x) = −3x Find f (g(x))

Answer:

[tex]3x-10<5\\x<5[/tex]

Step-by-step explanation:

Let x be equal to the number.

We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:

[tex]3x-10<5[/tex]

To find the range of possible values, we must solve the inequality and isolate x.

[tex]3x-10<5[/tex]

Add 10 to both sides

[tex]3x-10+10<5+10\\3x<15[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}<\frac{15}{3}\\x<5[/tex]

I hope this helps!

Answer: C. x=22

Step-by-step explanation:

cos(22+2)= 0.913545457

sin(3*22)= 0.913545457

So, cos(x+2)=sin(3x)

Answer: first line will be the on down the the right line 3... next the one with the straight line line 1 ..... then the fourth line slowly back upward

Step-by-step explanation:

Answer:

PartA: /

PartB: __

PartC: / its this one but less steeper(the second to last answer on the right)

Step-by-step explanation:

Answer:

The slope is -(1/3)

Step-by-step explanation:

For every 3rd step, the y-value decreases by 1 and the line intersects the y-axis in (0,1).

This observation yields the following equation for your line:

f(x) = y = -(1/3)x + 1

Therefore, the slope is -(1/3).

area= b*h              

82.* 16.6

area= 1361.2     since i dont know the number after the decimal in 82. that was the only answer i could give

Answer:

(see below; answers at the bottom)

Step-by-step explanation:

-4x + 7 ≥ 27

-4x ≥ 20

-x ≥ 5

Whenever you multiply or divide by a negative number in an inequality, flip the sign:

x ≤ -5

x/1 - 9 < -10

x - 9 < -10

x < -1

3x - 10 < -25

3x < -15

x < -5

5 (x - 2) > -15

Use Distributive Property:

5x - 10 > -15

5x > -5

x > -1

A) x < -5

So, A) 3x - 10 < -25.

B) x ≤ -5

So, B) -4x + 7 ≥ 27.

C) x < -1

So, C) x/1 - 9 < -10.

D) x > -1

So, D) 5 (x - 2) > -15.

Answer:

BA / AC

Step-by-step explanation:

Given the triangle ABC;

To obtain the Sin C

Defining the attached triangle with respect to C:

Sine = opposite / hypotenus

Sin C = BA / AC

Hence, the ratio of sinC is BA /AC

Answer:

y=69*43

Step-by-step explanation:

this is not correct because the words are writen

Answer:

36.45

Step-by-step explanation:

5.50 × 3 = 16.5

16.5 + 19.95 = 36.45

sorry if wrong.

hope it helps.

Answer:$ 19.00

Step-by-step explanation:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.

Answer:

Atleast 63

Step-by-step explanation:

Hope that helps!

Answer:

1 17/42.

Step-by-step explanation:

Find the common denominator, which is 42.

So change -4 1/6 to -4 7/42.

And change 5 4/7 to 5 24/52.

So add -4 7/42 + 5 24/52 and you'll get: 1 17/42.

(The decimal form of this is 1.404762)

Answer:

320 cm sq

Step-by-step explanation:

Answer:D=5,6,7,8 R=5,6,7,8  fuction= yes

Step-by-step explanation:

D = domain which is your X values and R is your range which is your Y values and sense each number of your X values goes to one of the Y values it is a fuction

Answer:

The answer are 1_ ASA

2_ SSS

3_ SAS

Answer:

Answer is 9,49,169

Step-by-step explanation:

I hope it's helpful!

Have a nice day!

Answer: It equals 8.

Step-by-step explanation:

Answer:

11 over 24  = 0.458

Step-by-step explanation:

Answer:

this would be the answer 40.5.

Take the 90 and multiply it by 45. Then multiply that by . 01.

Answer:

scale factor is: 2.25

Step-by-step explanation:

Answer:

i wanna say b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because i ate hamburger

Answer:

i am assuming "13----√" means "√13" ect. I am also assuming that the first 2 values are legs and the final is the hypotenuse.

the answer is then "A"

Step-by-step explanation:

The triangle whose sides are √13, 6, and 7, is a right triangle.

A right triangle is defined as a triangle with one right angle or two perpendicular sides. The longest side of a right triangle is called the hypotenuse.

The square on the hypotenuse is equal to the total of the squares on the legs of a right triangle.

Mathematically, let r be the length of the hypotenuse of a right triangle. Again let p, q be the lengths of other sides of this triangle. By the Pythagorean Theorem,

r² = p² + q².

We just check which triangle's sides follow the above theorem.

Option A (Triangle with sides √13, 6, and 7 ):

13 + 36 = 49

i.e. (√13)² + 6² = 7²

This triangle's sides follow the Pythagorean Theorem.

So, the triangle with sides √13, 6, and 7 is a right triangle.

Option B (Triangle with sides 7, 8, and 13 ):

49 + 64 ≠ 169

i.e. 7² + 8² ≠ 13²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 7, 8, and 13 is not a right triangle.

Option C (Triangle with sides 10, 11, and 12 ):

100 + 121 ≠ 144

i.e. 10² + 11² ≠ 12²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 10, 11, and 12 is not a right triangle.

Option D (Triangle with sides √10, 9, and 8 ):

10 + 64 ≠ 81

i.e. (√10)² + 8² ≠ 9²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides √10, 9, and 8 is not a right triangle.

Therefore the triangle whose sides are √13, 6, and 7, is a right triangle. So, option A is correct.

Know more about right triangles here -

https://brainly.com/question/481046

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

B.137

Step-by-step explanation:

Its an  obtuse angle

Answer:

Step-by-step explanation:

Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?

Let us represent

Number of apples = x

Number of pears = y

Number of oranges = z

Given that

3 apples and 4 pears cost $1.95

3x + 4y = 1.95

4 pears and 1 orange cost $1.60

4y + z = 1.60

z = 1.60 - 4y

1 orange and 3 apples cost $1.15

z + 3x = 1.15

z = 1.15 - 3x

what is the cost of 1 apple?

Answer:

1. 3(x-4)-9= 3

  3x-12-9=3

  3x-21=3

  3x=24

  x=8

2. x=6

3. x=8

4. x=2

Answer:

Miscellaneous

Step-by-step explanation:

1. Distribute and simplify to get: 3x-12-9 = -3

Then combine like terms to get 3x-21 = -3

Add 21 on both side sto get 3x = 18

divide 3 on both sides to get x=6

2. x+5 = 11

Subtract 5 from both sides to get x = 6

3. 2x-3 = 13

Add 3 to both sides to get 2x = 16

Divide 2 from both sides to get x =8

4. 4(x+2) = 16

Distribute to get 4x+8 = 16

Subtract 8 from both sides to get 4x = 8

Divide 4 from both sides to get x=2

Answer: Slope: 1/2 Point: (0, 3/2)

Step-by-step explanation:

Answer:

angle BAD = 180 -2x

angle BCD = x                                                    given

angle BCD is an inscribed angle                      

angle DOB = 2 (angle BCD)                              

angle BAD = 180 -angle DOB                           2 tangent theorem      

Step-by-step explanation:

Answer:

[tex] m\angle BAD= (180 - 2x)\degree [/tex]

Step-by-step explanation:

[tex] m\widehat {BD} =2\times m\angle BCD[/tex]

(By inscribed angle theorem)

[tex] m\widehat {BD} =2x\degree [/tex]

[tex] m\widehat {BCD} =360\degree - m\widehat {BD}[/tex]

(By arc sum property of a circle)

[tex] m\widehat {BCD} =360\degree - 2x\degree [/tex]

[tex] m\angle BAD=\frac{1}{2} (m\widehat {BCD}-m\widehat {BD}) [/tex]

(by property of intersecting tangents outside of the circle)

[tex] m\angle BAD=\frac{1}{2} [(360\degree - 2x\degree) -2x\degree] [/tex]

[tex] m\angle BAD=\frac{1}{2} (360\degree - 2x\degree -2x\degree) [/tex]

[tex] m\angle BAD=\frac{1}{2} (360\degree - 4x\degree) [/tex]

[tex] m\angle BAD=\frac{1}{2} \times 2(180\degree - 2x\degree) [/tex]

[tex] m\angle BAD= (180 - 2x) \degree [/tex]