Determine the equation of the graph in its final position if the graph of y = 2X

yulyashka [42]

Answer:

x = 5

Step-by-step explanation:

a || b and a line intersecting them is their transversal.

$\therefore m\angle 1=m\angle 5\\(corresponding \:\angle 's) \\\\\therefore 60 - 2x = 70 - 4x\\\\\therefore 4x - 2x = 70 - 60\\\\\therefore 2x = 10\\\\\therefore x =\frac{10}{2} \\\\\huge \orange {\boxed {\therefore x = 5}}$

4 0

2 years ago

Two separate linear functions are expressed by the graph and by the equation. Select all that apply.

Andre45 [30]

Answer:

First option: The slope is negative for both functions.

Fourth option: The graph and the equation expressed are equivalent functions.

Step-by-step explanation:

<h3> The missing graph is attached.</h3><h3> </h3>

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the equation:

$y=-4x-4$

We can identify that:

$m=-4\\b=-4$

Notice that the slope is negative.

We can observe in the graph that y-intercept of the other linear function is:

$b=-4$

Then, we can substitute this y-intercept and the coordinates of a point on that line, into $y=mx+b$ and solve for "m".

Choosing the point $(-2,4)$ , we get:

$4=m(-2)-4\\\\4+4=-2m\\\\m=-4$

Notice that the slope is negative.

Therefore, since the lines have the same slope and the same y-intercept, we can conclude that they are equivalent.

4 0

2 years ago

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the cost of a phone call lasting 3 minutes 30 seconds was 52.5 cents . at this rate what was the cost of a call lasting 5 minute

Effectus [21]

Answer:

80 cents

Step-by-step explanation:

The easiest place to start for this is to calculate how much it costs per minute of call time. To do this, if we know that it costs 52.5 cents to call for 3.5 minutes, we can divide those two numbers to get how much it costs per minute.

52.5/3.5 = 15

If it costs 15 cents per minute, and we want to know how much it would cost to call for 5.33 (5 and 1/3 of a minute), then we multiply our 15 cents a minute by the number of minutes to get the final cost.

15 x 5.33 = 79.99

Because we can't have 99/100 cents, rounding up to 80 is important to get a proper answer.

6 0

2 years ago

Jackie has 10 groups of pennies with 3 pennies in each group. Carlos has 5 groups of pennies with 100 pennies in each group. Who

Tcecarenko [31]

Answer=Carlos

If Jackie has 10 groups, with 3 in each groups, she has 30 total pennies.

10*3=30 pennies

If Carlos has 5 groups with 100 in each group, then Carlos has 500 pennies.

5*100=500 pennies

500 pennies is more than 30 pennies, so Carlos has more pennies

8 0

2 years ago

Read 2 more answers

Can someone plz help me with Algebra 2....... :) Will give Brainliest!!

Anarel [89]

Using logarithms property of log(x)+log(y)=log(xy)
so here, you can sum the equation to;
$log((x+6)*(x-6))=2$
so you can simply say that;
$log_{8}((x+6)( x-6))=2$
and by multiplying (x+6)*(x-6)
$log_{8}(x^2-36)=2$
and as you know also that;
$a^{b}=c$ is same as $log _{a}c=b$
so you can simply state it as;
$8^2=x^2-36
64=x^2-36
64+36=x^2
x^2=100
x=10$
And you can check your work by substituting with 10 instead of x in the original function.
Hope this helps!

6 0

2 years ago