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3 years ago

ASAP WILL MARK BRAINLYEST answer these two please!

Mathematics

1 answer:

Trava [24]3 years ago

3 0

$19.\\y=3x^2\\a=3,\ b=0,\ c=0\\\\\dfrac{-b}{2a}=\dfrac{-0}{2(3)=0\to x=0\\\\3x^2=0\ \ \ \ |:3\\\\x^2=0\to x=0$

$20.\\y=x^2-x-2\\a=1,\ b=-1,\ c=-2\\\\\dfrac{-b}{2a}=\dfrac{-(-1)}{2(1)}=\dfrac{1}{2}\to x=\dfrac{1}{2}\\\\x^2-x-2=0\\\\x^2-2x+x-2=0\\\\x(x-2)+1(x-2)=0\\\\(x-2)(x+1)=0\iff x-2=0\ \vee\ x+1=0\\\\x=2\ \vee\ x=-1$

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Please help I’ll give brainliest if correct

horsena [70]

4) secx/1 +cot²x

$\frac{sec \: x}{1 + cot { \: x}^{2} } = \frac{sec \: x}{cosec \: {x}^{2} } = \frac{ \frac{1}{cos \: x} }{ \frac{1}{sin \: x} } = \frac{sin \: x}{cos \: x} = tan \: x$

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3 years ago

For which pair of functions is the vertex of g(x) 11 units above the vertex of f(x)?

Sindrei [870]

Answer:

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a vertical shift up of c units

• If c < 0 then a vertical shift down of c units

Here g(x) is 11 units above, that is a shift up, thus

g(x) = f(x) + 11, that is

g(x) = x² + 11 → C

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3 years ago

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Ella wants to make a fruit salad for herself and 5 friends.

vfiekz [6]

1. I believe she would have 15 cups of fruit salad because it’s 5 cups of grapes, 6 cups strawberries(1 pint = 2 cups which means 6 cups of strawberries) and 4 cups of watermelon (1 pint = 4 cups
2. Since there are 15 cups of fruit salad you would need to divide 15 by the number of friends which would make it 2.5 cups of fruit salad per person

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3 years ago

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I'm confused on how to simplify variable expressions...

gulaghasi [49]

Basically, simplifying variables is the same as regular equations (like 5-3=2 and 5x-3x=2x)

So 7x-x is the same as 7x-1x which equals 6x

And -3p+6p is the same thing as -3+6 but with a p. With this in mind, the answer is 3p

Hope this helps

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3 years ago

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ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) i

mariarad [96]

Answer:

Step-by-step explanation:

ε = {x: 2≤ x ≤30}

M = { even numbers} = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = { prime numbers} = {2,3,5,7,11,13,17,19,23,29}

T = {odd numbers} = {3, 5, 7, 9, 11,13,15,17,19,21,23,25,27,29}

1. M ∪ P = {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30}

2. M - T =

n(M) - n(T)

15- 14 = 1

3. P(MT)

(MT) = M ∩ T = 0

P ∪ (M ∩ T ) = {2,3,5,7,11,13,17,19,23,29}

4. P' = not a prime number

T' = not odd number = M

P' ∪(M∩T')

P' ∪ {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

= {2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

6 0

3 years ago