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Nimfa-mama [501]
2 years ago
8

What is the y-intercept of the function f(x)=4 - 5x? (Hint: use the commutative property)

Mathematics
1 answer:
Tom [10]2 years ago
7 0

Answer:

Therefore the y-intercept of the function is 4.

Step-by-step explanation:

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

y-intercept: The line or function which intersect at y-axis. So when the line intersect at y-axis, X coordinate is zero.

So in the given Function Put x = 0 we will get the y-intercept

f(x)= 4-5x

Put x =0

f(0)= 4-5\times 0

f(0)= 4-0=4

Therefore the y-intercept of the function is 4.

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The answer is B 
a1= 13;an-1+2

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2 years ago
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The triangle DEF is shown in the diagram.<br>Find the exact value of x.<br>​
vladimir1956 [14]

Answer:

x = 4

Step-by-step explanation:

Using cosine triangle formula, we know that;

c² = a² + b² - 2ac(cos C)

From our diagram;

a = 2x

b = x + 1

c = 7

C = 60°

Thus;

7² = (2x)² + (x + 1)² - 2(2x)(x + 1)cos 60

49 = 4x² + (x² + 2x + 1) - (4x² + 4x)(0.5)

49 = 5x² + 2x + 1 - 2x² - 2x

3x² + 1 - 49 = 0

3x² - 48 = 0

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4

8 0
2 years ago
What is Question I (if m&lt;EBF = 117°, fine m&lt;ABE)​
Natasha_Volkova [10]

Answer:

m∠ABE = 27°

Step-by-step explanation:

* Lets look to the figure to solve the problem

- AC is a line

- Ray BF intersects the line AC at B

- Ray BF ⊥ line AC

∴ ∠ABF and ∠CBF are right angles

∴ m∠ABF = m∠CBF = 90°

- Rays BE and BD intersect the line AC at B

∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure

∴ BE is the bisector of angle ABD

∵ m∠EBF = 117°

∵ m∠EBF = m∠ABE + m∠ABF

∵ m∠ABF = 90°

∴ 117° = m∠ABE + 90°

- Subtract 90 from both sides

∴ m∠ABE = 27°

4 0
2 years ago
Read 2 more answers
Matthew manages the packaging department of his company. Yesterday, the department operated for only 4 hours due to a company pi
yKpoI14uk [10]

Alright, lets get started.

If Matthew wants to complete packages at an average rate of at least 39 packages per hour.

And they worked 4 hrs only due to picnic, yesterday, it means they have to make 39*4 = 156 packages.

But they made only 112 packages means they are short of 156 - 112 = 44 packages.

Suppose they are working today t hrs, and his department will complete 43 packages per hour today.

It means they are going to make 43 t packages today.

This 43 t packages includes those 44 too , which they are short of yesterday due to picnic.

So, average will be

\frac{43 t - 44}{t} = 39 (39 average given in question)

Cross multiplying

39 t = 43 t - 44

Adding 44 in both sides

39 t + 44 = 43 t - 44 + 44

43 t = 39 t + 44

Subtracting 39 t in both sides

43 t - 39 t = 39 t + 44 - 39 t

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Dividing 4 in both sides

t = 11 hrs

Hence they have to woth 11 hrs today : Answer

Hope it will help :)

3 0
2 years ago
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You are 330 miles from home and you are driving toward home at an average of 55 mph. Write an equation to represent the situatio
Mars2501 [29]
Okay, I just know the answer not the range:

330 divided by 55 is 6. It would take 6 hours.
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2 years ago
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