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motikmotik
3 years ago
14

Decide whether the two equations are equivalent.2a + 6 = 12a+3 = 6​

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

2a+6=12

2a=12-6

2a=6

a=6/2

a=3

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

a+3=6

a=6-3

a=3

----------

Yes, the two equations are equivalent.

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Let’s say Reena and Greg each work for 20 minutes making envelopes. Who will have more envelopes to sell in the flea market? Wha
Veronika [31]

Answer:

The slope of f(x) is greater than g(x). In fact, it is double the slope of g(x). This means Reena can make envelopes two times as fast as Greg. But the y-intercept of g(x) is greater than f(x), meaning at 0 minutes, Greg starts with more envelopes than Reena. If they work for 20 minutes, Greg will have 10 more envelopes than Reena. But if they work longer than 30 minutes, Reena will have a larger stock of envelopes than Greg.

Step-by-step explanation:

answer from Plato

6 0
3 years ago
Complete the equation of the line through (-9,-9) and (-6,0)
Rudik [331]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3

Thus, the equation is of the form:

y = 3x + b

We substitute one of the points and find b:

0 = 3 (-6) + b\\0 = -18 + b\\b = 18

Finally, the equation is:

y = 3x + 18

Answer:

y = 3x + 18

7 0
3 years ago
A circular racetrack has a diameter of 1/2 mile. How far does a car travel in one lap around the track? Round to the nearest ten
dlinn [17]
Given:
Circular racetrack with a diameter of 1/2 mile

Find: how far does a car travel in one lap around the track?

We need to find the circumference of the racetrack.

Circumference is multiplying pi to the diameter of the racetrack.

Circumference = 3.14 * 1/2 mile
Circumference = 3.14/2 mile
Circumference = 1.57 miles rounded to the nearest tenth is 1.60 miles.
7 0
3 years ago
What is the answer?
Bad White [126]

Answer:

k=3

Step-by-step explanation:

+ we note f(p)= p^{4}+p^{2}  +p -k

+ Because of "p-1 is a factor of f(p)", that means f(p)= (p-1)* g(p)

Then we have f(1)= (1-1)*g(1)= 0* g(1)= 0

+ We replace p=1 in f(p) and we have:

f(1)=0

that means: 1^{4}+1^{2} + 1 - k=0

then 1+1+1-k = 0, 3-k=0 or k=3

Hope that useful for you.

8 0
3 years ago
$3.98 divided by 100x4
Oliga [24]
$0.00995 is the correct answer.

$3.98/400=0.00995
4 0
3 years ago
Read 2 more answers
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