All categories

2 years ago

P = 3t² + 7t Work out the value of P when t = -4

Mathematics

1 answer:

Tanzania [10]2 years ago

8 0

Answer:

P = 20

Step-by-step explanation:

Hello!

We can solve this by substituting -4 for t.

<h3>Evaluate</h3>

P = 3t² + 7t
P = 3(-4²) + 7(-4)

<u>Remember that any negative number squared is the absolute value of that number squared.</u>

P = 3(|-16|) - 28
P = 3(16) - 28
P = 48 - 28
P = 20

The final evaluation is 20.

You might be interested in

Which of the following is a difference of cubes? x^6 + 27y^9 3x^9 - 64y^3 27x^{15} - 9y^3 125x^{21} - 64y^3

astraxan [27]

Answer:

D) 125x²¹- 64y³

Step-by-step explanation:

A) x⁶ + 27y⁹ = (x²)³ + (3y³)³ - sum of cubes
B) 3x⁹ - 64y³ - the first term is not a cube
C) 27x¹⁵ - 9y³ - the second term is not a cube
D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

7 0

3 years ago

Read 2 more answers

The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while

Alex73 [517]

Answer:

286 students attended

148 non students attended

Step-by-step explanation:

Given

$Tickets = 434$

$Students = \$4.00$

$Non-Students = \$6.00$

$Total = \$2032.00$

Solving (a): Number of students

Represent students with S and non students with N

So:

$S + N = 434$ --- (1)

$4S + 6N = 2032$ --- (2)

Make N the subject of formula in (1)

$N = 434 - S$

Substitute 434 - S for N in (2)

$4S +6(434 - S) = 2032$

Open Bracket

$4S + 2604 - 6S = 2032$

Collect Like Terms

$4S - 6S = 2032 - 2604$

$-2S = -572$

Divide through by -2

$S = 286$

<em>Hence; 286 students attended</em>

Solving (b):

Recall that

$N = 434 - S$

$N = 434 - 286$

$N = 148$

<em>148 non students attended</em>

4 0

3 years ago

Which of the below descriptions shows a possible HAMILTON PATH?

ra1l [238]

Option B: FECBAD represents the Hamilton path

Explanation:

The vertices in the given graph are A,B,C,D,E and F

We need to determine the Hamilton path of the given graph.

By definition, we know that a Hamilton path touches each and every vertex in a graph exactly once.

Hence, we need to connect the vertices in such a way that the graph touches each and every vertex exactly once.

Option A: EFADECBA

From this description, we can see that the path starts from the vertex E and connects all the vertices but some of the vertices are repeated twice.

Hence, the path EFADECBA is not a Hamilton path.

Therefore, Option A is not the correct answer.

Option B: FECBAD

From this description, we can see that the path starts from the vertex F and connects all the vertices exactly once.

Hence, the path FECBAD is the Hamilton path.

Therefore, Option B is the correct answer.

Option C: ADEFBC

From this description, we can see that the path starts from the vertex A and connects all the vertices but the path from F to B has to touch the vertex A. Thus, the vertices are repeated twice.

Hence, the path ADEFBC is not a Hamilton path.

Therefore, Option C is not the correct answer.

Option D: ADECBAFE

From this description, we can see that the path starts from the vertex A and connects all the vertices but some of the vertices are repeated twice.

Hence, the path ADECBAFE is not a Hamilton path.

Therefore, Option D is not the correct answer.

6 0

3 years ago

A chef uses 4.5 cups of tomatoes to make each batch of pasta sauce. If t represents the number of cups of sauce, which equation

SashulF [63]

Answer: t=4.5x

Step-by-step explanation:

t=cups of tomatoes

x=batch(es) of pasta sauce

Example:

The chef wants to know how many tomatoes he needs to make 2 batches of pasta sauce.

x=2

So 4.5x2=9

Answer for the example is 9

6 0

3 years ago

Read 2 more answers

The wind speed near the center of a tornado is represented by the equation S=93logd+65, where d is the distance, in miles, that

dezoksy [38]

Answer:

Therefore,

Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.

Step-by-step explanation:

Given:

The wind speed near the center of a tornado is represented by the equation,

$S=93\log d+65$

Where,

d = the distance, in miles

S = the wind speed, in miles per hour.

To Find:

S = ? at d = 4 miles

Solution:

We have

$S=93\log d+65$ .........Given

Substitute d = 4 in above equation we get,

$S=93\log 4 + 65=93\times 0.602 +65=120.99$

Rounding the answer to the nearest tenth we have

$S=121.0\ mph$

Therefore,

Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.

4 0

3 years ago