The coordinates of the turning point of the parabola whose equation is y = x²

Tim has twice as many marbles as Luke together they have 39 marbles how many marbles does time have

Travka [436]

Tim has 2 times as luke
t=2l
they have 29 goether
t+l=39
subsitute
2l+l=39
3l=39
divide by 3
l=13

subsitue
t=2l
t=2(13)
t=26

tim has 26 and luke has 13
I don't know how many marble Tim has but probably all of them since alll must die and then the marbles go to Time

3 0

2 years ago

Read 2 more answers

Given f(x)=x-7 and g(x)=x² find g(f(4))

vova2212 [387]

Answer:

Step-by-step explanation:

f(4) = 4-7 = -3

g(-3) = (-3)^2 = 9

6 0

2 years ago

M1|L7 1 Decimal Round Round 5.489 to the nearest hundredth. ) Label the endpoints. )

vagabundo [1.1K]

Answer:

5.49

Step-by-step explanation:

5.489, the number 9 that is underlined is 5 or more so you put that at 0 then it would be 5.48, but since the 8 is also 5 or more and is the hundreths place you round that to 9 giving you 5.49

3 0

2 years ago

What is an equivalent expression to 3(4m-2)-2(m+5)

Pavel [41]

Answer:

10m - 16

It's basically the same thing but simplified to make it easier to solve.

Step-by-step explanation:

3(4m-2)-2(m+5)

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v

Distribution

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v

12m-6-2m-10

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v

Combining Like Terms

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v

10m-16

8 0

2 years ago

(HURRY! I'M BEING TIMED)Write the partial fraction decomposition of the rational expression.

Aleonysh [2.5K]

Answer:

The partial fraction decomposition is $\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{50}{x + 1}+\frac{-29}{\left(x + 1\right)^{2}}+\frac{-54}{x + 2}$ .

Step-by-step explanation:

Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.

To find the partial fraction decomposition of $\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}$ :

First, the form of the partial fraction decomposition is

$\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{A}{x + 1}+\frac{B}{\left(x + 1\right)^{2}}+\frac{C}{x + 2}$

Write the right-hand side as a single fraction:

$\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{\left(x + 1\right)^{2} C + \left(x + 1\right) \left(x + 2\right) A + \left(x + 2\right) B}{\left(x + 1\right)^{2} \left(x + 2\right)}$

The denominators are equal, so we require the equality of the numerators:

$- 4 x^{2} + 13 x - 12=\left(x + 1\right)^{2} C + \left(x + 1\right) \left(x + 2\right) A + \left(x + 2\right) B$

Expand the right-hand side:

$- 4 x^{2} + 13 x - 12=x^{2} A + x^{2} C + 3 x A + x B + 2 x C + 2 A + 2 B + C$

The coefficients near the like terms should be equal, so the following system is obtained:

$\begin{cases} A + C = -4\\3 A + B + 2 C = 13\\2 A + 2 B + C = -12 \end{cases}$

Solving this system, we get that $A=50, B=-29, C=-54$ .

Therefore,

$\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{50}{x + 1}+\frac{-29}{\left(x + 1\right)^{2}}+\frac{-54}{x + 2}$

7 0

2 years ago

The coordinates of the turning point of the parabola whose equation is y = x² - 6x + 8