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slega [8]
3 years ago
14

Do I factor, isolate, use a quadratic equation, or all?And what is the answer?

Mathematics
1 answer:
lyudmila [28]3 years ago
5 0

Factoring \:  is  \: the  \: easiest \:  way   \\  2 {x}^{2}  + 12x = 0 \\ \Leftrightarrow 2x(x + 6) = 0 \\ \Leftrightarrow x = 0 \: \vee \: x =  - 6

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A scuba diver descends in the water at a rate of 23 1/2
Makovka662 [10]

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1 ft.

Given:

A scuba diver descends in the water at a rate of 23 1/2  feet per minute for 2.6 minutes.

A scuba diver ascends at a rate of 28 feet per minute for 2 minutes after seeing a big fish.

To find :

The scuba diver's position relative to sea level after the 4.6 minutes.

Solution:

Rate of a scuba diver descending in the water for 2.6 minutes = R _1

R_1= 23\frac{1}{2}ft/min=\frac{47}{2} ft/min

Distance covered by a scuba diver in 2.6 minutes = d_1

d_1=R_1\times 2.6min=\frac{47}{2} ft/min\times 2.6 min=61.1 ft

Rate of a scuba diver ascending for 2 minutes = R _2

R_2= 28ft/min

Distance covered by a scuba diver in 2 minutes = d_2

d_2=R_2\times 2min=28 ft/min\times 2 =56 ft

The position of scuba diver after 4.6 minutes relative to sea level:

d_1-d_2=61.1 ft-56 ft=5.1ft

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1ft.

Learn more about ascending rate and descending rate here:

brainly.com/question/1477877?referrer=searchResults

brainly.com/question/1072871?referrer=searchResults

3 0
3 years ago
Olly drove 56 km from Liverpool to Manchester.
yawa3891 [41]

Answer:

57.073 km/h approx.

Step-by-step explanation:

Total distance from Liverpool to Sheffield

= 56 + 61 km

= 117 km

Time from Liverpool to Manchester

=56 km ÷ 70 km/h

=0.8 hours

Time from Manchester to Sheffield

=75 mins

=1.25 hours

Total time = 0.8 h + 1.25 h

= 2.05 hours

Average speed from Liverpool to Sheffield

= 117 ÷ 2.05

= 57.073 km /h

Please mark as brainliest

8 0
3 years ago
A box of 15 cookies costs $9.<br> What is the cost for 1 cookie? <br> $_____
mel-nik [20]

Answer:

15 box of cookies =$9

1 box of cookie = $9/15=$0.6

6 0
3 years ago
Read 2 more answers
GEOMETRY. PLEASE HELP. I'M STUMPED!!!
tatiyna
Given the triangles ABC and PQR.
Angle A = Angle P
Angle B = Angle Q
Angle C = Angle R

Angle B = 3v+4
Angle Q = 8v-6
Let's find v

3v+4 = 8v-6
-5v = -10
v = 2

Angle B = 3v + 4
Angle B = 3(2) + 4
Angle B = 10.

The correct answer is letter C. 10


8 0
3 years ago
Which expression is equivalent to (x^2 -8) - (-2x^2+4)?​
Phoenix [80]

Answer:

D) 3x^2 - 12

Step-by-step explanation:

Using PEMDAS;

There is no need to evaluate the part of the equation (x^2 - 8) because is no need to, as it is already in its simplest form.

We must evaluate the part of the equation continuing with, "- (-2x^2+4)," as it is not in its simplest form.

Evaluating "- (-2x^2+4)":

Step 1: Distributing the negative

Once distributing the negative symbol amongst the values within the parenthesis according to PEMDAS, we get "2x^2 - 4" as the product.

Step 2: Consider the rest of the equation to evaluate

Since the part of the equation is still in play here as it is a part of the original equation to be solved, we must evaluate it as a whole to get the final answer.

Thus,

x^2 -8 + 2x^2 - 4 = ___

*we can remove the parenthesis as it has no purpose, since it makes no difference.

Evaluating for the answer, we get,

x^2+2x^2 + (-8 - 4) = 3x^2 - 12

Hence, the answer is D) 3x^2 - 12.

3 0
3 years ago
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