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Ganezh [65]
3 years ago
5

98 POINTS!!!Write a polynomial function in standard form given the zeros±√5 , 7

Mathematics
2 answers:
Neporo4naja [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Knowing the three zeros of the equation, we can set it up as follows:

(x - \sqrt{5})(x + \sqrt{5})(x - 7)

Multipying the first two expressions together gives us the following:

(x^{2} - 5)(x - 7)

Multiplying the two expressions together gives us the following:

x^{3} - 7x^{2} - 5x + 35

stiv31 [10]3 years ago
3 0

Set up an expression.

= [(x + √5)(x - √5)](x - 7)

~Multiply

= (x² - 5)(x - 7)

~Multiply

= x³ - 7x² - 5x + 35

Best of Luck!

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What single percentage change is equivalent to a 23% decrease followed by a 16% increase?
Stells [14]
<h3>Answer:  10.68% decrease (choice F)</h3>

==========================================================

Explanation:

A decrease of 23% means that you still retain 77% of the original value. This is because 23% + 77% = 100%. Or you could write it like this: 100% - 23% = 77%. The 77% then converts to the multiplier 0.77

An increase of 16% will involve the multiplier 1.16 in which we can think of it like 1.16 = 1 + 0.16 = 100% + 16%

Now we'll multiply those two decimal values mentioned:

0.77*1.16 = 0.8932

This result is smaller than 1, so we have a percent decrease of some sort. Subtract it from 1 to find the decimal form of the percent decrease

1 - 0.8932 = 0.1068

Lastly, move the decimal point 2 spots to the right:

0.1068 converts to 10.68%

We have a decrease of 10.68% overall when combining the initial 23% decrease followed by the 16% increase.

It turns out the order doesn't matter, and we could do the 16% increase first then the 23% decrease next. The key as to why the order doesn't matter all relies on the fact that multiplication can be done in any order. As you can probably guess, this process can be extended for as many percentage increases and/or decreases that you want.

7 0
3 years ago
Evaluate the expression.<br> -2.035 – 1.008 - 3.04 + 0.008
worty [1.4K]

Answer:

-6.075

Step-by-step explanation:

simple addition/subtraction

we multiply all the terms by "-1"

we add the first three terms then subtract the last from it

3 0
2 years ago
Charles ran 3 miles in 15 minutes. At that rate, how long would it take him to run 8 miles?
katrin [286]
Well first you need to find the unit rate. Divide 15 by 3.....get 5 minutes for 1 mile. Then you would multiply 5 by 8 which is 40 so 40 minutes (B) is your answer :)
8 0
3 years ago
Read 2 more answers
Which graph and equation shows a proportional relationship between x and y?
nalin [4]
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7 0
3 years ago
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Which of the following equations matches the graph above?
Brilliant_brown [7]

Option C:

The equation which matches the graph above is y = 4x - 4.

Solution:

Take any two points on the graph of the line.

Let the points are (0, -4) and (1, 0).

Here, x_1=0, y_1=-4, x_2=1, y_2=0

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{0-(-4)}{1-0}

$m=\frac{4}{1}

m = 4

y-intercept of the line is the point where the line crosses at y-axis.

Here, the line crosses at y-axis is (0, -4).

y-intercept, (c) = -4

Equation of a line is

y = mx + c

y = 4x + (-4)

y = 4x - 4

The equation which matches the graph above is y = 4x - 4.

Option C is the correct answer.

3 0
3 years ago
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