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2 years ago

Choose the function that the graph represents.

Mathematics

1 answer:

BartSMP [9]2 years ago

4 0

Answer:

y=f(x)=log6(x)

Step-by-step explanation:

This is a logarithmic function since the the graph increases logarithmically, or slowly

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X - 7 = 13 - x help asap plz

bekas [8.4K]

Answer:

x = 10

Step-by-step explanation:

$x - 7 = 13 - x$

Step 1 : Collect like terms and simplify

$x + x = 13 + 7 \\ 2x = 20$

Step 2 : Divide both sides of the equation by 2

$\frac{2x}{2} = \frac{20}{2}$

Step 3 : Simplify by cross cancellation of common term : 2

$x = 10$

4 0

2 years ago

A line has a slope of a and has a y-intercept of (0,b). Which equation represents this line?

Papessa [141]

Step-by-step explanation:

General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.

We have y = ax + b.

=> y - b = ax

=> y - b = a(x - 0).

The answer is option A.

8 0

3 years ago

Read 2 more answers

(4y − 3)(2y2 + 3y − 5)

VladimirAG [237]

Answer:

8y^3+6y^2-29y+15

Step-by-step explanation:

the correct expression is

(4y − 3)(2y^2 + 3y − 5)

Given data

We have the expression

(4y − 3)(2y^2 + 3y − 5)

let us open bracket

8y^3+12y^2-20y-6y^2-9y+15

Collect like terms

8y^3+12y^2-6y^2-20y-9y+15

8y^3+6y^2-29y+15

4 0

2 years ago

In 1990, California switched from a 6/49 lottery to a 6/53 lottery. Later, the state switched again to a 6/51 lottery. (a) Find

zalisa [80]

Answer:

(a) 9.9321*10^{-11}

(b) 6.0498*10^{-11}

(d) 1.6417 times more probable

Step-by-step explanation:

(a) The probability of winning a 6/49 lottery is given by:

$P = \frac{1}{49*48*47*46*45*44} =9.9321*10^{-11}$

(b) The probability of winning a 6/53 lottery is given by:

$P = \frac{1}{53*52*51*50*49*48} =6.0498*10^{-11}$

(c) The probability of winning a 6/51 lottery is given by:

$P = \frac{1}{51*50*49*48*47*46} =7.7120^{-11}$

(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:

$r=\frac{9.9321*10^{-11}}{6.0498^{-11}}\\r=1.6417$

It is 1.6417 times more probable.

8 0

3 years ago

We looking for distance

drek231 [11]

Answer:

240 m

Step-by-step explanation:

Figure is attached.

The distance the particle travels is the area under the v-t graph over the time interval from 0 min to 4 min. The reason you can't just multiply velocity by time is that the velocity is changing at a constant rate over the given time interval (the line is going upward--the particls is speeding up).

What's the area under the graph?

The red outline forms a trapezoid. The area of a trapezoid is $A=\frac{1}{2}h(b_1+b_2)$ where the <em>b</em>'s are the lengths of the two parallel base and <em>h</em> is the height (the distance between the bases).

Reading the graph carefully (notice the scales!)...

$A=\frac{1}{2}(4)(30+90)=(2)(120)=240 \text{m}$

8 0

2 years ago