MATHEMATICS HIGH SCHOOL

If f(x)=3-|7+2x|, evaluate if f(-5)

Answers

Answer 1
Answer:

Answer:

f(-5)=0

Step-by-step explanation:

f(x)=3-|7+2x|\nf(-5)=3-|7+2(-5)|\nf(-5)=3-|7+(-10)|\nf(-5)=3-|-3|\nf(-5)=3-3\nf(-5)=0
Answer 2
Answer:

Answer:

0

Step-by-step explanation:

the || makes whatever number is inside it abslute so -3 becomes 3 instead

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A car with a cost of $25,000 is decreasing in value at a rate of 10% each year. The function g(t)= 25,000(0.9)^t gives the value of the car after t years. When will the value of the car be about $12,000? A) after 7 years B) after 9 years C) after 13 years Could you also explain how to do it?
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What type of expense is a toll

Answers

Answer:

The IRS considers them to be part of your employee business expenses, which fall under the category of miscellaneous deductions. Add the cost of tolls, parking, your other car expenses to your other employee business expenses and combine that amount with other miscellaneous expenses.

Step-by-step explanation:

Answer: Well I guess that  you add the cost of tolls like the parking, your car expenses and other workers business expenses combine that amount you got with another miscellaneous expenses

On a scale drawing of a​ fence, 3.75 inches represent 24 feet. What is the actual length of a second fence that is 2.8 inches in the​ drawing?

Answers

The actual length of the fence is 215 inches

Step-by-step explanation:

Length of fence in drawing = 3.75 inches

Actual length of the fence = 24 ft

= 288 inches

Scale factor = 288/3.75

= 76.8

Length of fence in drawing = 2.8 inches

Actual length = 2.8 x 76.8

= 215 inches

The actual length of the fence is 215 inches

Answer:

215 in

Step-by-step explanation:

215 in

Find the volume of of each cylinder
h=1.5cm
r=11cm​

Answers

Answer:

570.2

Step-by-step explanation:

pi(11^2)1.5=570.2

Answer:

V≈570.2cm³

Step-by-step explanation:

The steamboat River Queen travels at the rate of 30km/h in still water. If it can travel 45 km up stream in the same amount of time that it takes to go 63 km down stream what is the rate of the current.

Answers

x-the\ rate\ of\ the\ current\nt-time\n\n \left\{\begin{array}{ccc}(30-x)t=45\n(30+x)t=63\end{array}\right\n \left\{\begin{array}{ccc}t=(45)/(30-x)\nt=(63)/(30+x)\end{array}\right\n\n(45)/(30-x)=(63)/(30+x)\n\ncross\ multiply\n\n63(30-x)=45(30+x)\n1890-63x=1350+45x\n-63x-45x=1350-1890\n-108x=-540\ \ \ \ /:(-108)\nx=5\n\nAnswer:The\ rate\ of\ the\ current\ is\ 5\ km/h.

Which of the following points are on the line given by the equation y=2x?A.(16,8)
B.(1,3)
C.(4,6)
D.(3,6)
E.(4,2)
F.(5,10

Answers

The following points that are on the line given by the equation y=2x are Options (D). (3,6) and (F). (5,10).

What is a straight line ?

A straight line is a line passing through the x-y plane that has equal intercepts with respect to the x axis and the y-axis. The slope of a straight line is always equal. The straight line is also satisfied by the coordinates points in the x and y axis respectively.

How to identify the points on the given line y = 2x ?

To identify the points satisfied by any given equation, we have to replace the points given in the following equation.

Taking first point in option (A) , (16,8) , we have y = 8 and x = 16 which does not satisfy the equation y = 2x .

Taking second point in option (B) , (1,3) , we have y = 3 and x = 1 which does not satisfy the equation y = 2x .

Now from the following options, checking points in Option (D) where x = 3 and y = 6 which satisfies the equation y = 2x .

Also checking the points in Option (F) where x = 5 and y = 10 which satisfies the equation y = 2x .

The following points that are on the line given by the equation y=2x are Option(D). (3,6) and Option(F). (5,10) .

To learn more about points in a straight line, refer -

brainly.com/question/2555347

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Answer: it’s (5,10) and (3,6)

The voltage V required for a circuit is given by v=√(PR) , where P is the power in watts and R is the resistance in ohms.How many more volts are needed to light a 100-watt light bulb than a 75-watt light bulb if the resistance of both is 110 ohms? Round answer to the nearest tenth.

Answers

Answer:

✓11000-✓8250=~ 14 volts

Step-by-step explanation:

the answer is the difference by 100-watt light bulb to a 75 light bulb.

so, all you have to do is this:

v1-v2--------> ✓PR-✓P2R2

so you'll have ✓100.110-✓75.110= ✓11000-✓8250= 14

I hope it helps

Final answer:

By using the formula v=√PR, it is calculated that approximately 13.8 more volts are needed to light a 100-watt bulb than a 75-watt bulb, both having a resistance of 110 ohms.

Explanation:

To find out how many more volts are needed to light a 100-watt light bulb than a 75-watt light bulb, the amount of voltage required for each bulb is to be calculated using the given formula v= √PR, and then subtracted to find the difference.

For voltage required to light a 100-watt bulb:

v100= √(100W * 110 ohms) = 105.4 volts

For 75-watt bulb:

v75 = √(75W * 110 ohms) = 91.6 volts

The difference in voltage:

v100 - v75 = 105.4V - 91.6V = 13.8V

So, approximately 13.8 more volts are needed to light a 100-watt bulb than a 75-watt bulb, when rounded to the nearest tenth.

Learn more about Voltage calculation here:

brainly.com/question/31684068

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