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2 years ago

An expression is given.

1 answer:

4 0

Answer:
A. 0.25x - 6.50

Explanation:
(3x - 1) - 2.75 (x + 2)
= 3x - 1 - 2.75x - 5.5
=0.25x -6.5
Hence A is equivalent to 0.24x -6.5

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Which angle is congruent to

kondor19780726 [428]

The angle congruent to ∠CGD is the angle ∠AGF as they are vertical angles.

5 0

1 year ago

The boy the apartment building is filling a pool 30 ft long 20 feet wide and 5 feet deep it has been filled 4 ft deep how many m

inn [45]

Capacity of the pool = 30 x 20 x 5 = 3000 ft³

Amount of water already filled = 30 x 20 x 4 = 2400 ft²

Amount of water needed to full the pool = 3000 - 2400 = 600 ft²

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Answer: 600 ft² of water is needed to fill up the pool.
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4 0

4 years ago

Read 2 more answers

A school lunch costs $2.50. A monthly lunch pass costs $40.00. Which inequality represents the number x of lunches you must purc

Leya [2.2K]

Answer:

The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.

Step-by-step explanation:

Given that:

Cost of each lunch = $2.50

Cost of monthly lunch pass = $40.00

Number of lunches = x

For making the monthly pass a better deal, the cost of lunches should be greater than the cost of monthly lunches, therefore

Cost of lunch * Number of lunches > Cost of monthly lunch pass

2.50x > 40.00

Hence,

The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.

7 0

3 years ago

Read 2 more answers

Given a term and the common difference, find the explicit formula. 8. a(19) = 135 d = 15

Rasek [7]

The explicit formula is a(n) = 15(n – 10)

Solution:

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)

$\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}$

Now, we know that, an explicit formula is an expression for finding the nth term,

So, in our problem, expression for finding nth term is a + (n – 1)d

$\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}$

Hence, the explicit formula is a(n) = 15(n – 10).

7 0

3 years ago

Draw a line for the axis of symmetry of function f. Also mark the x-intercept(s), y-intercept, and vertex of the function. f(x)

lilavasa [31]

Answer:

Part A: vertex at (-1,4)

Part B: line of symmetry x =-1

Part C: x-intercept x = -3 and x = 1

Part D: y-intercept y = 3

Step-by-step explanation:

Given f(x) = - (x+1)² + 4

The given equation represents a parabola.

The general equation of the parabola with a vertex at (h,k)

f(x) = (x-h)² + k

Part A: To find the vertex, compare the general equation with the given function.

So, the vertex of the function will be at (-1,4)

Part B: the line for the axis of symmetry of function will be at x =-1

Part C: To find x-intercept, put y = 0

So, - (x+1)² + 4 = 0

- (x+1)² = -4

(x+1)² = 4

x + 1 = ±√4 = ±2

x + 1 = 2 OR x + 1 = -2

x = 1 OR x =-3

x-intercept at x = 1 and x = -3

Part D:To find y-intercept, put x = 0

So, y = - (0+1)² + 4 = -1 + 4 = 3

y-intercept at y = 3

See the attached figure.

8 0

3 years ago

Read 2 more answers