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Law Incorporation [45]
3 years ago
8

The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that Austin has in his

piggy bank is 5q + 2d = 270. Explain what the intercepts mean in terms of the context and how to find them.
Mathematics
2 answers:
Fynjy0 [20]3 years ago
6 0
The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that Austin has in his piggy bank is 5q + 2d = 270. This can be change to slope intercept form to see the clearer picture. By dividing the whole equation by 2, so the equation become d= -2.5q + 135.

This means that Austin has initially 135 dimes in his piggy bank and he is losing 2.5 dimes per quarter.
Hope this helps!!!



snow_lady [41]3 years ago
4 0

Answer:

Sample Response: To find one intercept, let d = 0 in the equation and solve for q. To find the other intercept, let q = 0 in the equation and solve for d. The intercepts mean that the bank could be filled with 54 quarters and no dimes, or 135 dimes and no quarters.

Step-by-step explanation:

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Make q the subject of the formula 2(5q^2+1)=c
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7 0
3 years ago
15. Over what range of angles does the value of sin(O) consistently increase?
Ronch [10]

Answer:

D. 0° to 90°

Step-by-step explanation:

If we see curve of sin(o) on coordinate,  we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.

Hence option D is correct.

Alternatively

we see that

sin 0 = 0

sin 30 = 1/2

sin 45 = 1/\sqrt{2}

sin 60 = \sqrt{3} /2

sin 90 = 1

Thus, we see  that value of sin is increasing from 0 to 90

now lets see value of sin from 90 to 180

sin 90 = 1

sin 120 = \sqrt{3} /2

sin 135 = 1/\sqrt{2}

sin 150 = 1/2

sin 180 = 0

Thus, we see  that value of sin is decreasing from 90 to 180.

8 0
3 years ago
I cant believe how bad my brother, Reuben, is at growing things. He bought a whole bunch of plants at the nursery the other day.
jeka94

Answer:

68 plants.

Step-by-step explanation:

Let x represent the number of plants that Reuben bought from the nursery.

We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be x-5.

We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be \frac{2}{9}(x-5).

Further a rabbit came and ate ½ of what was left. So number of plants left would be \frac{\frac{2}{9}(x-5)}{2}=\frac{2}{9\times 2}(x-5)=\frac{1}{9}(x-5).

Since Reuben had only 7 plants left, so we will equate our expression with 7 and solve for x as:

\frac{1}{9}(x-5)=7

9\times \frac{1}{9}(x-5)=7\times 9

x-5=63

x-5+5=63+5

x=68

Therefore, Reuben bought 68 plants at the nursery.

6 0
3 years ago
A water company drills 2 wells to provide additional water for a small community. The cost in dollars to drill and service
Ipatiy [6.2K]

The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.

Given that A water company drills 2 wells to provide additional water for a small community. The cost in dollars to drill and service the wells for y years is represented by the expression 16y² + 48y and asked to factorize the equation

Factorization:

A number or other mathematical object is factored (or factorised, see variants in English spelling) or factored by a number of factors, often smaller or simpler things of the same sort.

⇒16y² + 48y=16y(y+4)

G.C.F:

The greatest common factor, which is the product of two or more numbers, is the biggest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's components have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF)

The highest common factor of 16 and 48 is 16

Therefore, G.C.F of 16 and 48 is 16      

Therefore,The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.

Learn more about Factorization here:

brainly.com/question/24182713

#SPJ9

6 0
1 year ago
Please help me! One question! It’s late so please help ASAP!
luda_lava [24]

Step-by-step explanation:

The answer here is option C.

5 0
3 years ago
Read 2 more answers
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