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3 years ago

Axis of symmetry for f(x) = -2x2 + 20x -42

2 answers:

8 0

For the function $f(x)=2x^2 +20x-42$

We can use the formula for the axis of symetry, which is $x= \frac{-b}{2a}$

With the values substituted, we get...

$\frac{-20}{2(-2)} =5$

Therefore the axis of symmetry is $x=5$

charle [14.2K]3 years ago

4 0

Answer: X=5

Step-by-step explanation:

i took the test on FLVS

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dedylja [7]

Just multiply and simplify that is your best bet

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3 years ago

Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.

kati45 [8]

Answer:

Substitute in the values of both given coordinates & form 2 equations:

$\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.$

Find the value of B from the equation 2A - B = 1:

$2A-B=1\\-B=1-2A\\B=2A-1$

Substitute in the B-value to the other equation:

$-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}$

Find the B-value using the equation from before:

$B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}$

Therefore the equation Ax + By = 1 would equal:

$\frac{1}{7} x-\frac{5}{7} y=1$

4 0

3 years ago

Find the distance between Point A (9, -3) and Point B (16,<br> 7), correct to 2 decimal places.

sleet_krkn [62]

Answer:

8.06

Step-by-step explanation:

use distance formula

5 0

3 years ago

In a poultry farm, 50 hens give 200 eggs in 2 days. In how many days will 20 hens give 400 eggs?.

s344n2d4d5 [400]

The number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.

<h3>What is a fraction?</h3>

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

On a poultry farm, 50 hens give 200 eggs in 2 days.

It is required to find the number of days will 20 hens require to give 400 eggs:

Let x be the number of days:

(50×2)/200 = (20x)/400

x = 10

Thus, the number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ4

6 0

1 year ago

dimensions of a building are 740 feet by 800 feet. If 1inch represents 8 feet. What are the dimensions of the building on the dr

nevsk [136]

Answer: 92.5 inches by 100 inches.

Step-by-step explanation:

1. You know that 1 inch represents 8 feet and the dimensions of the building are 740 feet by 800 feet, therefore, you must apply the proccedure shown below:

$\frac{740ft*1in}{8ft}=92,5in$

$\frac{800ft*1in}{8ft}=100in$

2. Then, as you can see, the dimensions of the building on the drawing are 92.5 inches by 100 inches.

6 0

3 years ago