X/2 ≥ -4 a.x ≥ -2 b. x ≤ -2 c. x ≤ -8 d. x ≥ -8

In which set do all of the values make the inequality 2x-1 <10 true?

Andrews [41]

Anything in the negatives like -2*2=-4-1 = -5

Or positive values up to 5

2*5=10-1=9

4 0

2 years ago

Mark buys a wooden board that is 7 1/2 feet long. The cost of the board is $0.50 per foot, including tax. What is the total cost

artcher [175]

Answer:

Total cost of Mark's board is $3.75.

Step-by-step explanation:

We are given the following in the question:

Length of wooden board =

$=7\dfrac{1}{2}\text{ foot}$

Unit cost of board = $0.50 per foot

Total cost of board =

$=\text{Length of board}\times \text{Unit cost of board}\\\\=7\dfrac{1}{2}\times 0.50\\\\=\dfrac{15}{2}\times \dfrac{1}{2}\\\\=\dfrac{15}{4} = 3.75\$$

Thus, total cost of Mark's board is $3.75.

7 0

2 years ago

A_n=59-3(n-1), 1,2,3... Find the first four terms of the sequence given by the following

lawyer [7]

9514 1404 393

Answer:

59, 56, 53, 50

Step-by-step explanation:

Use n = 1 through 4 and evaluate.

a1 = 59 -3(0) = 59

a2 = 59 -3(1) = 56

a3 = 59 -3(2) = 53

a4 = 59 -3(3) = 50

The first four terms are 59, 56, 53, 50.

6 0

2 years ago

What is the image point of (-3,3) after the transformation R180° 0 T-3, -4?

ZanzabumX [31]

Answer:

Image point → (6, 1)

Step-by-step explanation:

Given point → (-3, 3)

Transformation to be done → $R_{180}0T_{-3,-4}$

Transformations to be done,

Step - (1). Translation of the given by 3 units left and 4 units down.

Step - (2). Followed by the rotation counterclockwise 180° about the origin.

Rule for step (1),

(x, y) → (x - 3, y - 4)

By this rule,

(-3, 3) → [(-3 - 3), (3 - 4)]

→ (-6, -1)

Rule for step -2,

(x, y) → (-x, -y)

(-6, -1) → (6, 1)

Therefore, following these two steps coordinates of the image point → (6, 1)

6 0

2 years ago

Help pls! Which rational function has zeros at x = -1 and x = 6 ?

bagirrra123 [75]

Answer:

$f(x) = \frac{x^{2} -5x-6}{x^{2} -4}$

Step-by-step explanation:

Let's factorize the 1st option :

⇒ $f(x) = \frac{x^{2} -5x-6}{x^{2} -4}$

⇒ $f(x) = \frac{x^{2}+x-6x-6 }{(x+2)(x-2)}$

⇒ $f(x) = \frac{(x+1)(x-6)}{(x+2)(x-2)}$

===============================================================

Finding the zeros :

⇒ Factors of numerator should be equated to 0

x + 1 = 0 ⇒ x = -1
x - 6 = 0 ⇒ x = 6

=============================================================

Solution :

$f(x) = \frac{x^{2} -5x-6}{x^{2} -4}$

6 0

1 year ago

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