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3 years ago

Write an equation to match each graph:

Mathematics

2 answers:

castortr0y [4]3 years ago

7 0

From what I know this graph looks like that of a modulus function except it's shifted 1 unit to right and 1 unit below the origin.

So the original equation must be:
y = |x|

And the transformed equation (aka the equation if this graph) must be,

y+1 = |x| -1

y = |x| -2

gulaghasi [49]3 years ago

3 0

Answer:

y=|x-1|-1

Step-by-step explanation:

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Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express

sammy [17]

Answer:

Step-by-step explanation:

$given \\ f(x) = x ^{2} + 10x + 21 \: and \: g(x) = x + 7$

$as \: we \: know \: (f.g)x \: is \: same \: as$

$f(g(x))$

$so \:$

$f(x + 7) = ( x + 7) ^{2} + 10(x + 7) + 21$

$f(x + 7) = {x}^{2} + 14x + 49 + 10x + 70 + 21$

$f(x + 7) = x^{2} + 24x + 140$

$therefore$

$(f.g)x = {x}^{2} + 24x + 140$

3 0

3 years ago

Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.

natta225 [31]

The ODE is linear:

$y'=x^4-\dfrac yx$

$y'+\dfrac yx=x^4$

Multiplying both sides by $x$ gives

$xy'+y=x^5$

Notice that the left side can be condensed as the derivative of a product:

$(xy)'=x^5$

Integrating both sides with respect to $x$ yields

$xy=\dfrac{x^6}6+C$

$\implies y(x)=\dfrac{x^5}6+\dfrac Cx$

Since $y(1)=1$ ,

$1=\dfrac16+C\implies C=\dfrac56$

so that

$\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}$

4 0

3 years ago

29 thousandths as a fraction

makvit [3.9K]

29/1000 the thousand is the denominator and 29 is the numerator

7 0

3 years ago

Read 2 more answers

Can somebody please help in this question?

Phoenix [80]

Answer:

Assume the pair of dice are fair; if not, all bets are off!

Color one die green (G) and the other one red (R). There are 36 possibilities in throwing one green and one red die, eg (G1, R1), (G1, R2), etc; (G2, R1), (G2, R2), etc; etc; (G6, R1), (G6, R2), etc.

In the set of possible numbers from throwing a die, there are only 3 possibilities that sum to to 4: (G1, R3), (G2, R2), (G3, R1).

So the answer is 3/36, or one-twelfth.

5 0

3 years ago

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Hurry please answer fast... sara has a recipe for a cake that her mother gave her. The recipe calls for 3/4 cups of sugar for ea

Dmitriy789 [7]

Answer:

They would need 2 1/4 cups of sugar for the three cakes, the reason as to why sara is wrong is because 3/4 X 3 = 2 1/4 cups of sugar

Step-by-step explanation:

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3 years ago