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Archy [21]
3 years ago
13

Tripling the greater of two consecutive even integers given the same result as subtracting 10fromm the lesser even integer. What

are the integers?
Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

The integers are -8 and -6.

To find these, first assume that the first integer is x. Then, because it is an even integer, assume the next is x + 2. Now we can write an equation to solve.

Tripling the greater = subtracting 10 from the lesser

3(x + 2) = x - 10 ----> Distribute the 3

3x + 6 = x - 10 ----> Subtract x from both sides

2x + 6 = -10 ----> Subtract 6 from both sides

2x = -16 ----> Divide both sides by 2

x = -8

Which is the first integer. We then can determine that the second one, which is two higher than the first, would be -6.

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Help me on this math question thank you
Vitek1552 [10]

Answer:

  • C for question 1
  • A for question 2

Step-by-step explanation:

First Question

What you need to do here is pick an answer that will result in a decrease. If you have something like 1.3 * e ^ (0.038 * t), what will happen when t = 20

P = 1.3 * e^(0.038*20) = 1.3*e^0.76 = 2.77 which is getting bigger not smaller.

So what you want is something like 1.3 * e^-0.76 = 0.67

So which question is configured that way?

It's either C or D. but which one? It cannot be D. 0.38 is far too big: it does not represent 3.8%

C does represent 3.8% as a decimal. It is the correct answer.

Answer: C

Second Question

Every time she sells a ticket, the total that she gets is 4 more than what she had before.

The variation is a direct one. It is y = k*x. But what is k? Is it 4 or is it 1/4?

Read the first sentence above. She gets 4 dollars more, not 1/4 of a dollar.

C and D are both wrong because those equations think she is getting 1/4 more.

B is wrong because it says that the relationship is inverse. It is not. It is direct.

The answer is A


4 0
3 years ago
Write a quadratic function in vertex form whose graph has the vertex
ELEN [110]

Answer:

y = \frac{1}{2}(x - 5)² - 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (5, - 2), thus

y = a(x - 5)² - 2

To find a substitute (7, 0) into the equation

0 = a(7 - 5)² - 2

0 = 4a - 2 ( add 2 to both sides )

2 = 4a ( divide both sides by 4 )

a = \frac{2}{4} = \frac{1}{2}

y = \frac{1}{2} (x - 5)² - 2 ← in vertex form

4 0
2 years ago
There was a triangle ABC with sides 15, 20, and 10. One of the sides of a triangle, which is similiar to ABC is 60. What are the
wlad13 [49]

Answer:

The possible pairs of sides are 90 and 120, 30 and 45, and 80 and 40.

Step-by-step explanation:

We know that 60 is a multiple of 15, 20, and 30, so we multiply by each factor to find all possible pairs: 10x6=60, 20x6=120, and 15x6=90, that gives your first pair, <u>90 and 120</u>.

We have now multiplied our first factor, 6. Now we need to multiply our second factor, 3: 20x3=60, 15x3=45, and 10x3=30. That gives your second pair, <u>30 and 45</u>.

Finally, we need to multiply by our 3rd factor, 4: 15x4=60, 20x4=80, and 10x4=40. That gives you your final possible pair, <u>80 and 40</u>.

I hope this helps :-)

3 0
3 years ago
A movie at Walmart costs $14.97. Tax is 6%. What will the total be, including tax?
Ghella [55]

Answer:

multiply 14.97 to .6 and that's your answer

Step-by-step explanation:

3 0
3 years ago
Round to the nearest...
skelet666 [1.2K]

15. 0.3478 becomes 0.3

16. 0.7553 becomes 0.76

17. 3.968 becomes 4

18. 164.9 becomes 160

8 0
2 years ago
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