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Marianna [84]
2 years ago
5

(work)(study) + (work)(practice) + (work)(perseverance)

Mathematics
1 answer:
kolezko [41]2 years ago
5 0

9514 1404 393

Answer:

  (work)(study + practice + perseverance)

Step-by-step explanation:

(work) is the common factor in the three products. It can be factored out:

  (work)(study + practice + perseverance)

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Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)
Luda [366]

Answer:

y = (1/4)x² - (5/4)x + 1

Step-by-step explanation:

The x-intercepts of the quadratic equation are simply it's roots.

Thus, we have;

(x + 1) = 0 and (x - 4) = 0

Now, formula for quadratic equation is;

y = ax² + bx + c

Where c is the y intercept.

At y-intercept: (0,1), we have;

At (-1,0), thus;

0 = a(1²) + b(1) + 1

a + b = -1 - - - (1)

At (4,0), thus;

0 = a(4²) + b(4) + 1

16a + 4b = -1

Divide both sides by 4 to get;

4a + b = -1/4 - - - (2)

From eq 1, b = -1 - a

Thus;

4a + (-1 - a) = -1/4

4a - 1 - a = -1/4

3a - 1 = -1/4

3a = 1 - 1/4

3a = 3/4

a = 1/4

b = -1 - 1/4

b = -5/4

Thus;

y = (1/4)x² - (5/4)x + 1

6 0
2 years ago
Which dashed line is an asymptote for the graph
Svetach [21]
Where is the picture? This question must have an picture/image
6 0
3 years ago
Add the two expressions.<br><br> −2.4n−3 and −7.8n+2
Sphinxa [80]

Answer:

-10.2n - 1

Step-by-step explanation:

We have two expressions in variable n and we have to add the two expressions.

An important thing to note is that only like terms can be added. i.e. the term with "n" can only be added or subtracted to the term with "n". Similarly a constant can only be added or subtracted to a constant.

(-2.4n-3)+(-7.8n+2)\\=-2.4n-3-7.8n+2\\=-2.4n-7.8n-3+2\\=-10.2n-1

Thus, the two given expressions add up to -10.2n - 1

4 0
3 years ago
2 - ( - 4.51) = _____________
murzikaleks [220]
Your answer is, 6.51.

6 0
3 years ago
Read 2 more answers
Jeremy ate 5 pieces of shrimp, Julie ate 7 pieces. What fraction of the total did Jeremy eat?
matrenka [14]

Answer:

\frac{5}{12}

Step-by-step explanation:

The total amount of shrimp that was eaten was 12 pieces of shrimp.

To make the fraction you will simply put the amount of shrimp Jeremy ate over the total number of shrimp eaten by the pair.

Therefore, the fraction would look like this:

\frac{5}{12}

The decimal form of this would be 0.4167. Which also means that Jeremy ate 41.67% of the total amount of shrimp eaten.

Hope this helps!!

4 0
2 years ago
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