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2 years ago

If 2/3 + p = 1 and 4/5+ q = 3, what is the value of p+q?

Mathematics

1 answer:

inessss [21]2 years ago

5 0

Answer:

p+q = 38/15

Step-by-step explanation:

2/3+p = 1. p = 1 - 2/3

4/5 + q = 3. q = 3 - 4/5

p + q = 1 - 2/3 + 3 - 4/5

-2/3 - 4/5 (common denominator = 15)

4 - 10/15 - 12/15 = 4 - 22/15

4 - 22/15 = (4*15 - 22)/15

= 38/15

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F(x)=4(x+2)(x+2)-6 in standard form

ollegr [7]

Answer:

4x^2 + 4x -2

Step-by-step explanation:

Use FOIL to solve (x+2) (x+2)

4(x^2 + 4x +4) - 6

4x^2 + 4x -2

8 0

3 years ago

Please help me please! im stuck

VikaD [51]

What is the question asking for?

5 0

3 years ago

EASY MATH QUESTION PLEASE HELP

Juli2301 [7.4K]

F(x)=3x^2-5 when x=-11
f(-11)=3(-11)^2-5
f(-11)=-33^2-5
f(-11)=1089-5
f(-11)= 1084

Hope this could help!

3 0

3 years ago

What is the explicit rule for the geometric sequence? 600, 300, 150, 75, ...

pochemuha

Answer:

Step-by-step explanation:

Hello, this is a geometric sequence so we are looking for a multiplicative factor.

$a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}$

So, the explicit formula is for n

$\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

Which group of three squares will form a right triangle when joined at their vertices?

Ilia_Sergeevich [38]

Answer:

Option ?) 17 cm, 15 cm, 8 cm

The assignment should have four options to choose from, but there is only a picture of two.

Step-by-step explanation:

None of the squares shown form a right triangle. To determine if sides form a right triangle, you use this formula:

a²+b²=c²

We are given two options in the picture.

Option A) 18, 10, and 8.

Option B) 12, 9, and 6.

So, now we need to apply the formula:

Option A)

║8² + 10² = 18²

↓

║64 + 100 = 324

↓

║FALSE

Option B)

║6² + 9² = 12²

↓

║36 + 81 = 144

↓

║FALSE

Both of these options are false. But, I decided to look up this assignment to check my answer. It turns out, there are 4 options, and you only had a picture of two. So, what's the answer?

There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. This is the correct answer.

For proof, let's apply the formula:

Option ?)

║8² + 15² = 17²

↓

║64 + 225 = 289

↓

║TRUE

[Since the option isn't shown, I'll put a '?' so there is no confusion]

8 0

2 years ago