Given the function f(x), what is the transformation f(x)+r, if r is a real number and r > 0?

A. The graph shifts r units down
B. The graph shift r units up
C. The graph shift r units right
D. The graph shift r units left

Question:

Jordyn, Teri, and Morgan are going to have a kite-flying contest. Jordyn and Teri each have one roll of kite string. They also each have 45 yards of extra string. Morgan has three rolls of kite string plus 10 yards of extra string. All the rolls of string are the same length. The girls want to see who can fly their kite the highest.

Since Jordyn and Teri have fewer rolls of kite string, they decide to tie their string together, so their kite can fly higher. Write at least two expressions to show how much kite string Jordyn and Teri have. Let x represent the number of yards of string on one roll.

Answer:

[tex]y=x +45[/tex]

[tex]y = 45 + x[/tex]

Step-by-step explanation:

From the complete question, we have:

Jordyn & Teri

[tex]Rolls = 1[/tex]

[tex]Extra = 45\ yd[/tex]

Morgan

[tex]Rolls = 3[/tex]

[tex]Extra= 10\ yd[/tex]

Required

Expression for Jordyn and Morgan

Let the total kite by Jordyn and Teri be represented with y

This is calculated as:

[tex]y = Rolls + Extra\ Yard[/tex]

This gives:

[tex]y = 1\ roll + 45yd[/tex]

1 roll is represented with x.

So:

[tex]y=1x +45[/tex]

[tex]y=x +45[/tex]

This can be rewritten as:

[tex]y = 45 + x[/tex]

Answer:

Step-by-step explanation:

First

a+s=375

a=375-s

Next

5a+3s=1375, now using a found above makes this equation become

5(375-s)+3s=1375

1875-5s+3s=1375

1875-2s=1375

-2s=-500

s=250, since a=375-s

a=375-250

a=125

So 125 adult and 250 student tickets were sold.

Answer:

-8≤k≤1

Step-by-step explanation:

k²+7k-8≤0

(k+8)x(k-1)≤0

k1= -8

k2= 1

-8≤k≤1

Answer:

Step-by-step explanation:

ok so im not sure what the fraction is.... so i'll put all the choices

3/248= simplified

32/48= 2/3

324/8= 81/2

3248/1= 3248

9514 1404 393

Answer:

  (b)  -36

Step-by-step explanation:

Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)

This table shows the remainder, which is f(-2), is -36.

__

The equation itself can be rewritten in "Horner form" to facilitate evaluation.

  f(x) = (((-x +2)x -1)x +4)x +8

In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.

  f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8

  = (((4)(-2) -1)(-2) +4)(-2) +8

  = ((-9)(-2) +4)(-2) +8

  = (22)(-2) +8

  = -36

  f(-2) = -36 . . . . remainder from synthetic substitution

Answer: (x-5)2 would be your final answer

Answer:

its prolly just (x+5)2

Step-by-step explanation:

taking the test rn for it

Answer:

there are no choices

Step-by-step explanation:

Answer:

BC = 28 [tex]\frac{1}{3}[/tex] ft

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AX}{AB}[/tex] = [tex]\frac{XY}{BC}[/tex] , substitute values

[tex]\frac{12}{20}[/tex] = [tex]\frac{17}{BC}[/tex] ( cross- multiply )

12BC = 340 ( divide both sides by 12 )

BC = [tex]\frac{340}{12}[/tex] = [tex]\frac{85}{3}[/tex] = 28 [tex]\frac{1}{3}[/tex]

Answer:

40% = 0.40

800 / 0.40 = 2000 total tickets were sold

Step-by-step explanation:

Answer:

- 13

Step-by-step explanation:

Given

- 2 + 3(1 - 4) - 2 ← evaluate parenthesis

= - 2 + 3(- 3) - 2 ← perform multiplication

= - 2 - 9 - 2

= - 13

Step-by-step explanation:

solution

= -2+3(3)-2

=-2+3*3-2

= -2+9-2

=-11-2

= -9

Answer:

Step-by-step explanation:

sin²x+cos²x = 1. No Matter What is the value of x. For Explanation: Sin x is opposite_side/hypotenuse of a Right angle triangle. Cos x is adjacent_side/hypotenuse of a Right angle triangle.

y = a(x - p)² + q

a = -1, p = -3, q = -2

y = -(x + 3)² - 2

Answer:I don't know this one

Step-by-step explanation:

Answer:

No, he not correct because he only ran 4 mi

Step-by-step explanation:

If he walks for 6 min out of the 38 min, then he ran for 32 min.

d = rt        1 mi = 8r

r = 1/8 = 1 mi/8 min   Since he ran 32 min we have

d = 1/8(32) = 4 mi.

No, he not correct because he only ran 4 mi

Answer:

Step-by-step explanation:

graph is translated left by 8 units

Answer:

Triangle A: 38 degrees

Triangle B: Unknown (not enough information)

Triangle C: Unknown (not enough information)

Triangle D: 70 degrees

Triangle E: 40 degrees

Step-by-step explanation:

Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.

Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.

Work for Triangle C: Same as B.

Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.

Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.

Answer:

6

Step-by-step explanation:

We are to divide 1608 by 268

1608/268

4 can divide both the numerator and denominator. So divide  the numerator and denominator by 4

This gives 402 / 67

Th 67 multiplication table

67 x 1 = 67

67 x 2 = 134

67 x 3 = 201

67 x 4 = 268

67 x 5 = 335

67 x 6 = 402

the value of the expression would thus be 6

Answer:

9

Step-by-step explanation:

Answer:

there are nine teachers

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

ABC:

A = 10 degrees

B = 145 degrees

145 + 10 = 165

180 - 165 = 15 degrees

C = 15 degrees

MNP:

M = 145 degrees

N = 15 degrees

P = so therefore, P is 165 degrees

MNP is similar to ABC

Answer: I’m pretty sure it’s 11/264 days

Step-by-step explanation:

Answer:

[tex]\Huge\boxed{x=11.8}[/tex]

Step-by-step explanation:

Hello There

cos = adjacent divided by hypotenuse

the adjacent side of the angle that has a measure of 49 is x and the hypotenuse is 18

so

[tex]cos49=\frac{x}{18}[/tex]

once again we want to isolate the variable using inverse operations

to get rid of the 18 we multiply each side by 18

[tex]\frac{x}{18} *=x\\cos49*18=18cos49[/tex]

we're left with

[tex]x=18cos49[/tex]

now we let the calculator do the rest of the work

we end up with

[tex]x=11.80906252[/tex]

our final step would be to round to the nearest tenth

so we can conclude that the x = 11.8

Step-by-step explanation:

The equation is y = -3x + 6.

Answer:

3y = 5x + 15

Step-by-step explanation:

Slope = Change in y-cordinates

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

Change in x-cordinates

= 0 - (-5)/-3 - (-6)

= 5/3

Using point (-3,0)

y - y1 = m(x - x1)

y - 0 = 5/3 (x - (-3))

y = 5/3 (x + 3)

Expand the bracket

y = 5x/3 + 15/3

Multiply through by 3

3y = 5x + 15

Answer:51

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The dice will have 6 sides so divide 54 by 6

Answer:

9

Step-by-step explanation:

The dice will have 6 sides so divide 54 by 6

HOPE THIS HELPS!!!!

Answer:

2 Packages of Napkins, 3 Packages of Cups

Step-by-step explanation:

12 * 2 = 24

8 * 3 = 24

Answer:

3 packages of cups and 2 packages of napkins

Answer:

YZ = 12.2

Step-by-step explanation:

YZ bisects XW and VW, therefore it is half of XV

24.4/2 = 12.2