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7nadin3 [17]
3 years ago
15

Given f(x) = ax2+ bx + c, where a = 3and b = 18, determine the line of symmetry x = C.Enter the value of C

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Answer:

c=y-3x^2-18x

axis of symmetry:

X=-3

Step-by-step explanation:

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GEOMETRY please help soon due in an hour
Deffense [45]

Answer:

The height of the tower is 310.6 ft

3 0
3 years ago
The ratio of girls to boys is 5 to 6. If there are 72 boys, how many girls are there?
kati45 [8]
Answer: 60 girls
If the ratio of girls to boys is 5 to 6, it can be written as 5/6. You can use cross multiplication to figure out how many girls there are if there are 72 boys by setting the number of girls equal to x and dividing it by 72 like so: \frac{5}{6}= \frac{x}{72}

After multiplying 5 and 72, and 6 and x, you get the equation 360=6x. To find the number of girls, all you have to do is divide by 6, which leaves you with x=60, meaning there are 60 girls when there are 72 boys based on the ratio 5:6 (girls to boys).
5 0
3 years ago
Use the remainder theorem to find which of the following is NOT a factor of x^3 – 4x^2 – 4x + 16.
nataly862011 [7]

Answer: x - 12 is not a factor.

Step-by-step explanation:

The equation

x³ - 4x² - 4x + 16

To know which of the following is a factor , we continue to find the value of x and substitute into the equation and see the one that gives zero. The one that gives zero is the factor.

(a) x + 2

If x + 2 = 0

x = -2, now substitute for x in the equation and find out if it will be zero.

x³ - 4x² - 4x + 16 = (-2)³ - 4(-2)² - 4(-2) + 16.

= -8 - 16 + 8 + 16

= 0.

Therefore, x + 2 is a factor.

(b) x - 12

If x - 12 = 0, then x = 12

x³ - 4x² - 4x + 16

(12)³ - 4(12)² - 4(12) + 16

1728 - 576 - 48 + 16

= 1,120 , not a factor.

(c) x - 2

If x - 2 = 0, then x = 2

x³ - 4x² - 4x + 16

(2)³ - 4(2)² - 4(2) + 16

8 - 16 - 8 + 16

= 0, Therefore, x - 2 is a factor.

(d) x - 4

If x - 4 = 0, x = 4

x³ - 4x² - 4x + 16

(4)³ - 4(4)² - 4(4) + 16

48 - 48 - 16 + 16

= 0,therefore, x - 4 is also a factor.

3 0
4 years ago
in a batch of 280 water purifiers,12 were found to be defective. what is the probability that a water purifier chosen at random
Naddika [18.5K]

Answer:

4.286%

Step-by-step explanation:

12/280=0.04286*100=4.286/100 or 4.286%

4 0
3 years ago
The distance from any point on a circle to the center of the circle is the _____ .
saul85 [17]
I think it would be the radius, because if it’s from any point only to the center, then that’s literally the radius. Circumference is the distance AROUND the whole circle, diameter is from one side to the complete other side, and it’s def not area.
5 0
3 years ago
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