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3 years ago

What is f(7) if f(x) = 5x

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

6 0

Answer:

Step-by-step explanation:

f(x) = 5x means you multply the given f function by 5

f(7) = 5×7 ➡35

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In the figure, if m∠ABD = 120º, then m∠ADC =? º.

Anna11 [10]

The figure that this question is referring to is attached. We must use the Law of Sines to solve this question, which is as follows:

a/sinA = b/sinB = c/sinC

This applies to any triangle. We are told that ∠ABD = 120º. We are asked to solve for ∠ADC. We know that ∠ADC + ∠ADB = 180º. If we assign ∠ADC = x, then ∠ADB = 180º - x. We can now apply the law of sines to this data.

35/sin120 = 30/sin(180-x)
sin(180-x) = (30/35)(sin120)
sin(180-x) = 0.742
sin-1(sin(180-x)) = sin-1(0.742)
180 - x = 48º
x = 132º

We have already assigned x = ∠ADC; therefore, ∠ADC = 132º.

4 0

3 years ago

Read 2 more answers

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

patriot [66]

y = 4x - 10. The linear functions y = 4x - 10 represent the line given by the point-slope equation y - 2 = 4(x - 3).

In order to solve this problem, we have to take the point-slope equation y - 2 = 4(x - 3) and convert it to the linear function form y = mx + b as follow:

y - 2 = 4(x - 3)

y - 2 = 4(x) - (4)(3)

y - 2 = 4x - 12

y - 2 + 2 = 4x -12 +2

y = 4x - 10 (Linear function)

8 0

3 years ago

3) If the speed limit on a highway in the UK is 70 miles per hour and

Afina-wow [57]

Step-by-step explanation:

for this we need to know the conversion rate between miles and kilometers :

1 mile = 1.60934 km

which means

1 km = 0.621371 miles

so,

70 m/h = 70×1.60934 km/h = 112.6538 km/h

compared to the 120 km/h limit in Canada, it is clear that the speed limit in Canada is higher.

the difference is

7.3462 km/h = 7.3462×0.621371 = 4.56471564 m/h

4 0

2 years ago

What is the answer and working out to 5 x 5/6?

nika2105 [10]

The answer for your question is 4.166666667 thank you for letting me answer your question and you welcome now bye have a great day.

3 0

3 years ago

90 points!!

Svetllana [295]

Answer:

1) $2w + 2(3w) \leq 112$

2) $850w > 300w + 7500$

3) The greatest age that Sue could be is 7.

4) The smaller of the two integers is 92.

5) Don needs to earn at least 244 points in the fourth game.

Step-by-step explanation:

1) An rectangle has 2 dimensions: width(w) and length(l)

The perimeter P is:

$P = 2w + 2l$

The problem states that the length of a rectangle is three times its width. So l = 3w and:

$P = 2w + 2(3w)$

The perimeter of the rectangle is at most 112 cm. It means that the perimeter can be 112, so the equal sign enters the inequality. So

$2w + 2(3w) \leq 112$

The problem states that he earns $850 per week in sales. His earnings is modeled by the following equation:

$E = 850*w$ , in which w is the number of weeks.

The problem also states that he spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. So his expenses can be modeled by the following equation

$C = 300*w + 7500$ , in which w is also the number of weeks.

He will make a profit when his earnings are bigger than his expenses, so: When they are equal, there is no profit, so the equal sign does not enter the inequality.

$E > C$