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mezya [45]
3 years ago
15

Which number line shows the solution set for |a|=6?

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0

Answer:

the third one

Step-by-step explanation:

the absolute value of -6 is 6

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at an assembly 7 out of the first 10 students who entered the gym were carrying the backpack. Based on the information, if 700 s
Rufina [12.5K]

i dont know :/ im sorry and my mind is not on the mood for work sadly

4 0
3 years ago
Please solve! thanks!
Kaylis [27]

Answer:

5 7/11 - 2 1/5

62/11 - 11/5

LCM of 11 and 5 is 55

62/11 × 5/5 - 11/5 × 11/11

62 × 5 /55 - 11 × 11/55

310/ 55 - 121/55

310 - 121 /55

189/55

5 0
3 years ago
Write each quadratic function below in terms of linear factors.a)f(x)=x²-25b)f(x)=x²+25c)f(x)=4x²+25d)f(x)=x²-2x+1e)f(x)=x²-2x+4
Andrei [34K]

Answer:

a) (x + 5) (x - 5)

b) (x + 5i) (x - 5i)

c) (x + (5i/2)) (x - (5i/2))

d) (x-1)(x-1)

e) x +i√3 +1) (x -i√3+1)

Step-by-step explanation:

To solve this, we will need to factorize each quadratic function making it equal to zero first and then proceeding to find x  

a) f(x) = x²-25

x²-25 = 0

⇒(x + 5) (x - 5)

b) f(x)=x²+25

x² + 25 = 0

x²= -25

x = √-25

x = √25i

x = ±5i

⇒(x + 5i) (x - 5i)

c) f(x)=4x²+25

4x²+25 = 0

4x²= -25

x² = -25/4

x = ±√(-25/4)

x = ±(√25i)/2

x = ±5i /2

⇒(x + (5i/2)) (x - (5i/2))

d) f(x)=x²-2x+1

x²-2x+1 = 0

⇒(x - 1)²

e) f(x)=x²-2x+4

x²-2x+4 = 0

x²-2x = -4

x²-2x +1 = -4 +1

x²-2x + 1 = -3

(x-1)² +3 = 0

(x-1)²= -3

x-1 = √-3

x = ±√3i +1

⇒(x +i√3 +1) (x -i√3+1)

6 0
4 years ago
the ratio of boys to girls in a class is 7 to 11. if there are a total of 49 boys in the class , then how many boys and girls ar
tatyana61 [14]

Answer:

There are <u>77</u><u> girls</u> in the class when there are 49 boys.

8 0
3 years ago
Read 2 more answers
Write the equation of the following graph in intercept form.
Kobotan [32]

Answer:

A) f(x)=0.2(x+2)(x-5)

Step-by-step explanation:

The graph has x-intercepts at x=5 and x=-2, so our factors for the polynomial will be x+2 and x-5. This means we can rule out options B and D.

Our graph also has a y-intercept of y=-2 when x=0, so if we let f(x)=-2 and x=0, we can find the multiplier:

f(x)=a(x+2)(x-5)\\-2=a(0+2)(0-5)\\-2=a(2)(-5)\\-2=-10a\\\frac{1}{5}=a\\0.2=a

Thus, the correct equation is A) f(x)=0.2(x+2)(x-5)

8 0
2 years ago
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