If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)? (f + g)(x) 3 for all values of x (f + g)(x) 3 for all values of x (f + g)(x) 6 for all values of x (f + g)(x) 6 for all values of x

Answer:

x- intercept : How many sandwichs he bought

y-intercept : How many drinks he bought

Answer:

60 degrees each

Step-by-step explanation:

For the triangle, the sum of the interior angles is equal to the exterior

Let x and y be interior

Let z be the third angle

w be the exterior

w = x+y

120 = x+y

If the exterior angle is twice of each of the interior remote angles, then;

2x = 2y

x = y

120 = x+x

2x = 120

x = 60

Since x = y, y  = 60 degres

From the triangle, the third angle will be 180 - 120

z = 180-120

z = 60

The measures of the 3 angles are 60 degrees each

Answer:

340.2

Step-by-step explanation:

18.0 x 18.9 = 340.2

Answer:

18.0x18.9=340.2

Step-by-step explanation:

Answer:

it would be D

Step-by-step explanation:

Answer:

(3,8)

Step-by-step explanation:

First, you need to graph a triangle using the points given.

Then reflect across y = x

R is (3,0) which when reflected across y = x is (0,3)

S is (3,3) which when reflected across y = x is (3,3)

R is (4,0) which when reflected across y = x is (0,4)

Answer:

x= 15

y= 21

Step-by-step explanation:

81+6x-11+x+5= 180

7 x + 75= 180

7x= 105

x=15

4y-18+y+14+6×15-11=180

5 y + 75= 180

5y= 105

y= 21

Answer:

The only one that looks familiar is B sorry >-<

Step-by-step explanation:

Answer: The correct answers are C and B

Step-by-step explanation:

Answer:

I believe this is how you do it

Step-by-step explanation:

csc∅tan∅

(1/sin∅)(sin∅/cos∅)

(sin∅)/(sin∅cos∅)

1/(cos∅)

sec∅

csc²∅tan²∅sin∅

1/(sin²∅) * tan²∅ * sin∅

tan²∅/sin²∅ * sin∅

tan²∅/sin∅

Answer:

D. Point Y should be 8 inches from point A

Step-by-step explanation:

Answer:

140.4488

Step-by-step explanation:

Answer:419% of 33.52 = 140.4488

Step-by-step explanation: If you multiply .419 by 33.52 you get 140.4488

John has more.

John has $11 while Jan has $10

9514 1404 393

Answer:

  970

Step-by-step explanation:

It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...

  (5 +2√6)³ +1/(5 +2√6)³ = 970

_____

The cube of 'a' is ...

  (5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³

  = 125 +3·50√6 +3·120 +48√6

  a³ = 485 +198√6

The reciprocal of this is ...

  b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1

  b³ = 485 -198√6

Then the sum is ...

  a³ +b³ = (485 +198√6) +(485 -198√6) = 970

Answer:

Decreased by 12%

Step-by-step explanation:

to find percentage change ---     new-original/original x 100

-78/650 x100 = -12%

Answer:

4x^8

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  g(x) = (5x +26)/(x+5)

Step-by-step explanation:

To translate the function right h units and up k units, the transformation is ...

  f(x -h) +k

You want h=-4 (4 units left) and k=-1 (1 unit down). So, the translated function is ...

  [tex]f(x+4)-1=\dfrac{6(x+4)+7}{(x+4)+1}-1\\\\=\dfrac{6x+31}{x+5}-1=\dfrac{6x+31-(x+5)}{x+5}\\\\=\dfrac{5x+26}{x+5}[/tex]

The translated function is ...

  g(x) = (5x +26)/(x+5)

__

The original function is in red with asymptotes shown in orange. The translated function is in purple with the asymptotes shown in blue. You can see that the function has been moved 4 left and 1 down.

Answer:

72

Step-by-step explanation:

if he has half then its 36x2=72

Answer:

im not completley sure but i think its B

Step-by-step explanation:

Step-by-step explanation:

I= prt

I= 30000×8%×2

I= 4800

total = 30000+4800

=34800

Answer:

[tex]387\ \text{minutes}[/tex]

Step-by-step explanation:

The time Gavin has is [tex]6\dfrac{9}{20}\ \text{hours}[/tex]

[tex]6\dfrac{9}{20}=\dfrac{20\times 6+9}{20}[/tex]

[tex]=\dfrac{129}{20}\ \text{hours}[/tex]

[tex]=6.45\ \text{hours}[/tex]

[tex]=6\times 60+0.45\times 60=360+27[/tex]

[tex]=387\ \text{minutes}[/tex]

The number of minutes is [tex]387\ \text{minutes}[/tex].

Answer:

12

Step-by-step explanation:

since 1 inch equals 2.54 cm then 11 inches equals 27.94 cm

27.94 ÷ 2.33 = 11.99

tan = opp/adj

tan 20 = opp/10

x = 10(tan 20)

x = 3.63....

x = 3.6 cm

Answer:

4.8

Step-by-step explanation:

We are given the hypotunese or the slanted side which is the ladder length which is 14.

We are given an angle at the bottom which is 70 degrees.

We are asked to find the horizontal side which is adjacent to the angle at the bottom.

Since we have a hypotunese and a side adjacent to the angle, we are going to use the function cosine.

we use this formula

[tex] \cos(theta) = \frac{adj}{hypo} [/tex]

[tex] \cos(70) = \frac{x}{14} [/tex]

x=4.8

Answer:

4/12 probability

Step-by-step explanation:

there is 4/12 chance she will roll this

Answer:

Choice #4)  4674 feet above sea level

Step-by-step explanation:

4956-282=4674

Let x represent the number of hours that he spent washing cars.

Let y represent the number of hours that he spent landscaping.

In a week, he can work no more than 19 total hours. This means that

x + y ≤ 19- - - - - - - - - - - -1

Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. He must earn at least $170. This means that

10x + 8y ≥ 170 - - - - - - - - - -2

If Jacob worked 4 hours landscaping, it means that

x + 4 ≤ 19    x ≤ 19 - 4    x ≤ 15

Also,  10x + 8 × 4 ≥ 170     10x + 32 ≥ 170

10x ≥ 170 - 32          10x ≥ 138

10x ≥ 138/10             x ≥ 13.8

The minimum number of hours is 14

9514 1404 393

Answer:

Step-by-step explanation:

1. The problem preamble gives you the two ways to name the vector. You can use either its name, or the two end points. (The starting point is named first, as it is with a ray.)

The vector shown can be referred to by the names ...

  u  or  AB

__

2. The right triangle has legs 4 and 5, so the length is ...

  length = √(4² +5²) = √41

  length ≈ 6.4

__

3. Typically, you're given the leg lengths. The ratio of these is the tangent of the angle. The angle can be found using the inverse tangent function.

__

4. The tangent of the angle is the slope of the vector:

  tan(A) = 5/4

  A = arctan(5/4) ≈ 51°

__

5. The first letter named is the starting point of the vector. Vector MN starts at point M and ends at point N. Vector NM starts at N and ends at M. The directions of the two vectors are opposites.

__

6. A ray is like a vector of infinite length. The name of a ray includes a point on the ray. The name of a vector includes both end points. It is of finite length.

_____

Additional comment

A lot of math is invented to describe how things work in the real world. A vector is often used to represent velocity or force and other things that can be described by a magnitude and direction in the real world. A ray is more often used in problems in geometry, where that abstract concept serves a useful purpose.

Answer:

36 days

Step-by-step explanation:

Total distance driven = 4 1/2 miles = 9/2 miles

Months of June and July ;

Miles driven per day = 1/8

Number of days Parker went driving :

Total miles driven / miles driven per day

9/2 miles ÷ 1/8 miles

9 /2 * 8 /1

(9 * 8) / (2 * 1)

72 / 2

= 36 days

Hence, Parker drove for 36 days