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2 years ago

Which ordered pair is NOT included in a graph of y=x+5?

Mathematics

1 answer:

belka [17]2 years ago

7 0

I need the picture to answer it

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Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

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3 years ago

Add the following polynomials:<br> 3a3 + 8a - 6 and 4a2 - 9a + 11

liubo4ka [24]

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Find the value of x if w is perpendicular to y

Marta_Voda [28]

This relationship again shows that since w and y are perpendicular to each other that the smaller angles will add up to give 90 degrees.

3x + 3 + 15 = 90

3x + 18 = 90

3x = 90 - 18

3x = 72

X =72/3

X = 36 degrees

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3 years ago

If Y = 6x + 4 and 6x + 8 = 44, then Y=

Zolol [24]

Assuming second equation is 6x+8y=44

so first divide 2nd eqation by 2 to make it eqaier
3x+4y=22

sub 6x+4 for y

3x+4(6x+4)=22
3x+24x+16=22
minus 16 both sides
27x=6
divide both sides by 27
x=2/9

sub back

y=6x+4
y=6(2/9)+4
y=12/9+4 (4=36/4)
y=48/9

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You contributed $4,000 (1st year), $3,500 (2nd year), $1,500 ( 3rd year), and $2,000 (4th year) into your retirement fund for ea

babunello [35]

Answer:

$5,818

Step-by-step explanation:

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