MATHEMATICS HIGH SCHOOL

Please answer this, i really need it its my last question

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Answer 1

Answer:

Answer:

y=-4 to 4

x=-1 to -7

Step-by-step explanation:

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Find the input (x) of the function y=3x - 7 if the output (y) is 5

The larger leg of a right triangle is 3cm longer than its smaller leg. The hypotenuse is 6cm longer than the smaller leg. how many centimeters long is the smaller leg please explain how you got it

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$b=a+3\n c=a+6\n a^2+b^2=c^2\n\n a^2+(a+3)^2=(a+6)^2\n a^2+a^2+6a+9=a^2+12a+36\n a^2-6a-27=0\n a^2-9a+3a-27=0\n a(a-9)+3(a-9)=0\n (a+3)(a-9)=0\n a=-3 \vee a=9\n$

The length can't be negative, so the answer is 9 cm.

Let the smaller leg be x.

Thus, larger leg = 3 +x
Thus, hypotenuse = 6 + x

Applying pythagoras theorum ;

$(6+x)^2 = x^2 + (3+x)^2 \n \n or, 6^2 + 12x + x^2 = 3^2 + 6x + x^2 \n \n i.e., 36 + 12x = 9 + 6x \n \n =>6x = 45 \n \n => x = 9$

Thus, the length of smaller peg is 9 cm.

0.083 repeding as a percentage?

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0.083 as a percentage would be 8.3% with a horizontal bar on top of the three to indicate that it is repeating.

To find percentage, multiply a decimal by 100.

Hope it helps

What is the fewest number of sides a polygon can have?

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3 (forming a triangle) because you have draw a closed shape using segments :)

How many dollars is 16% of $ 655

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We can set up a proportion

Part/whole = %/100

X/655 = 16/100

655 x 16 = 10,480

10,480/100 = 104.8

16% of $655 is $104.80

Can someone help me with this math homework please!

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Answfirst one

Step-by-step explanation:

hope it helps thank u

Answer:

first one

Step-by-step explanation:

2 students have the same age but different heights.

since age is the input and height is the output. in order to be a function one must have exact one output for one input.

since the heights of students in Tessa 's class are not a function of their ages (one input must have two outputs) two students of same age must have different heights.

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=−5x^2+263x−1844

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Answer: The maximum amount of profit the company can make is $1604.

Step-by-step explanation:

To find the maximum amount of profit the company can make, we need to determine the vertex of the quadratic equation y = -5x^2 + 263x - 1844. The x-coordinate of the vertex represents the selling price that will yield the maximum profit, and the y-coordinate represents the maximum profit itself.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a), where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c.

In this case, a = -5 and b = 263. Let's substitute these values into the formula:

x = -263 / (2 * -5)

Now, let's simplify the expression:

x = -263 / -10

x = 26.3

To find the maximum profit, we substitute the x-coordinate of the vertex into the equation:

y = -5(26.3)^2 + 263(26.3) - 1844

Now, perform the calculations:

y = -5(691.69) + 6906.9 - 1844

y = -3458.45 + 6906.9 - 1844

y = 1604.45

Therefore, to the nearest dollar, the maximum amount of profit the company can make is $1604.

Final answer:

Profit is a financial gain that occurs when the revenue from a company activity is more than the costs, costs, and taxes required to support the activity. To put it another way, profit is what is left over after all costs have been subtracted from revenue

Explanation:

The corporation can earn a maximum profitof $1,292 to the nearest dollar.

Using the given equation y = -5x² + 263x - 1844 we can utilise the procedures below to get the greatest profit the corporation may make:

1. Using the equation x = -b/2a, where a = -5 and b = 263, determine the x-coordinate of the parabola's vertex.

2. To determine the highest possible value of y, substitute this x value into the equation.

These actions result in:

$\text{x} = (-b)/(2a) = (-263)/((2\cdot(-5))) = 26.3$

When we enter this x value into the equation, we obtain:

$\text{y} = -5(26.3)^2 + 263(26.3) - 1844\thickapprox \$3440$

As a result, the corporation can earn a maximum profit of $3,440 to the nearest dollar.

Please answer this, i really need it its my last question

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Final answer:

Explanation:

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