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Elan Coil [88]
2 years ago
7

Use the distributive property to simplify this expression -2x(3x + x-5)

Mathematics
2 answers:
kvasek [131]2 years ago
8 0

Answer:

− 8 x ^2  +  10 x

Step-by-step explanation:

Vedmedyk [2.9K]2 years ago
3 0
-6x-2x+10x
8x+10x
18x.
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If angle KLJ~angle VWU. Find the x value
Alenkasestr [34]

Answer:

17

Step-by-step explanation:

Since angle KLJ~angle VWU are similar :

KL / WV = KJ/ UV

(25 / 20) = (4x - 23 / 2x + 2)

Cross multiply :

25(2x + 2) = 20(4x - 23)

50x + 50 = 80x - 460

50x - 80x = - 460 - 50

-30x = -510

x = 510 / 30

x = 17

5 0
3 years ago
The varsity basketball team started selling T-shirts online in 1994. The number of T-shirts sold online, s, is modeled by the gr
-Dominant- [34]

(PART-A): s-intercept in this case represents the y-intercept of the graph, whereas the t-intercept in this case represents the x-intercept of the graph.

Always remember that y-intercept represents the value of y where the curve (or line) crosses the y-axis, and x-intercept represents the value of x where the curve (or line) crosses the x-axis.

In the graph attached with the question, at point (0,6) the curve crosses the y-axis. Therefore, the <em>y-intercept (s-intercept) in this case is 6</em>. It means that in year 2000 (t=0), 6 hundred shirts were sold.

However, there is no point on the graph where the curve crosses the x-axis, meaning there is <em>no x-intercept (t-intercept)</em>. It means that there is <em>not</em> a single year when the number of shirts sold is 0.


(PART B): As you can see in the graph (attached with the question) that the <em>f(t)</em> is increasing (exponentially) with the increase in <em>t. </em>Therefore, we can safely say that as t increases without bound, the f(t) increases (also). In this context, it means that the sale of shirts increases as the years go by. Hence, the correct blank is "increases."


(PART C): The average rate of change is actually the slope. To find the slope, we can use the following formula:

slope = \frac{y_2 - y_1}{x_2 - x_1} --- (X)

Given points: (5, 12.5) and (7, 22). Plug the values in equation (X),

slope = \frac{22-12.5}{7-5} = 4.75

Hence, the average rate of change for the function between t=5 and t=7 is 4.75 (answer).


(PART D): This part is bit tricky. Therefore, read the explanation carefully!

You can see in the graph that number of Shirts sold is in <em>hundreds. </em>It means that 1 unit (of y-axis in a graph) represents 100 shirts. Therefore, as in the question it is mentioned that there are 1000 T-shirts sold, it will become 10 units (since 10*100 = 1000). So, the function g(t) will become the following:

g(t) = f(t) + 10 --- (Y)

Why did I add f(t)? Because in the question, the word "<em>and</em>" is underlined. It means that g(t) represents not only 1000 T-shirts (10*100 = 1000) sold at the basketball games each year, but it also has the number of T-shirts sold ONLINE, which is f(t).

Now insert f(t) in (Y) and solve:

g(t) = f(t) + 10\\g(t) = (1.5)^t + 5+ 10\\g(t) = (1.5)^t + 15

Hence, g(t) is (1.5)^t + 15

8 0
3 years ago
Read 2 more answers
HELP ASAP PLSSSSSSS
AysviL [449]
It would be B because eaxh section either repeats itself or is close to repeating its previous part
7 0
3 years ago
(x+y=3<br> (3x+2y=14<br> what is the coordinates for this problem
Ludmilka [50]


<span>3x - 2y + 2y > -14 + 2y </span>

<span>3x + 0 > -14 + 2y </span>

<span>3x > -14 + 2y </span>

<span>3x + 14 > -14 + 14 + 2y </span>

<span>3x + 14 > 0 + 2y </span>

<span>3x + 14 > 2y </span>

<span>(3x + 14)/2 > 2y/2 </span>

<span>(3x + 14)/2 > y*(2/2) </span>

<span>(3x + 14)/2 > y*(1) </span>

<span>(3x + 14)/2 > y </span>

<span>y < (3x + 14)/2 </span>

<span>y < 3x/2 + 14/2 </span>

<span>y < 3x/2 + 7 </span>

<span>y < (3/2)*x + 7 </span>

<span>“y” is LESS THAN (3/2)*x + 7 </span>

<span>the slope intercept form of the inequality is: y < (3/2)*x + 7 </span>


<span>STEP 2: Temporarily change the inequality into an equation by replacing the < symbol with an = symbol. </span>

<span>y < (3/2)*x + 7 </span>

<span>y = (3/2)*x + 7 </span>


<span>STEP 3: Prepare the x-y table using the equation from Step 2. </span>

<span>Using the slope intercept form of the equation from Step 2, choose a value for x, and then compute y for at least three points. </span>

<span>Although you could plot the graph with just two sets of x-y coordinates, you should compute at least three different sets of coordinates points to ensure you have not made a mistake. All three x-y coordinates must lie on the same straight line. If they do not, you have made a mistake. </span>

<span>You can choose any value for x. </span>


<span>For example, (arbitrarily) choose x = -2 </span>

<span>If x = -2, </span>

<span>y = (3/2)*x + 7 </span>

<span>y = (3/2)*(-2) + 7 </span>

<span>y = 4 </span>
4 0
3 years ago
What's the graph of y=3x-5​
Svetach [21]

Answer:

Step-by-step explanation:

6 0
2 years ago
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