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2 years ago

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Mathematics

1 answer:

gayaneshka [121]2 years ago

8 0

Answer:

The 8 should have remained positive.

Step-by-step explanation:

8-(-2)=8+2=10

Two negatives make a positive so 8-(-2) will turn into 8+2.

Laura was wrong because she thought the 8 turned to a negative but that makes no sense.

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Trigonometric identities: Performance task

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3. Solve each inequality and graph the solution set.<br>– 3n-3> 12

Svetach [21]

x<-5

Step-by-step explanation:

-3x<12+3

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2 years ago

What is the vertex of the quadratic function f(x)=x2+6x+16? Write your answer

Olenka [21]

Answer:

The vertex of the quadratic function is:

$(x_{v}, y_{v})=\left(-3,\:7\right)$

Step-by-step explanation:

Given the function

$f\left(x\right)=x^2+6x+16$

As the vertex of the form $y=ax^2+bx+c$ is defined as:

$x_v=-\frac{b}{2a}$

As the quadratic function of parabola params are

$a=1,\:b=6,\:c=16$

$x_v=-\frac{b}{2a}$

$x_v=-\frac{6}{2\cdot \:1}$

$x_v=-3$

Putting $x_v=-3$ to determine $y_v$

$y_v=\left(-3\right)^2+6\left(-3\right)+16$

$y_v=3^2-18+16$

$y_v=9-2$

$y_v=7$

Therefore, the vertex of the quadratic function is:

$(x_{v}, y_{v})=\left(-3,\:7\right)$

5 0

2 years ago

2 water taps A B fill a tank in 12 hrs. Tap A takes 10 hrs less than tap B to till tank separately. Find time taken by tap B to

Hatshy [7]

Answer:

11 hours

Step-by-step explanation:

Setting up a system of equations and using the substitution method will give you the number of hours used by each tap. Let a = time for tap A and b = time for tap B:

a + b = 12 (A and B fill a tank in 12 hours)

a = b - 10 (tap A takes 10 hours less than tap B)

Substitute 'b - 10' for 'a' in the first equation:

b - 10 + b = 12

Combine like terms: 2b - 10 = 12

Add 10 to both sides: 2b - 10 + 10 = 12 + 10 or 2b = 22

Divide by 2: 2b/2 = 22/2

Solve for b: b = 11 hours

5 0

2 years ago