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Gelneren [198K]
3 years ago
8

Ted is installing lighting in a new block of 12 apartments. He will need 60 metres of cable for each apartment. Each new spool h

olds 100 metres of cable. What is the smallest number of new spools that Ted will need for this job ??
Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0
60 meters per apartment x 12 apartments =720total metes for all 12 apartments 720 meters / 100 meters per spools =7.2 spools so, Ted will need at least 8 spools of cable.
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15. Rewrite the given functions in
Lisa [10]

15. The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17. The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Step-by-step explanation:

Any quadratic function has:

1. A vertex form form f(x) = a(x - h)² + k, where (h , k) are the

   coordinates of its vertex point

2. A standard form g(x) = ax² + bx + c, where a , b , c are constant and

   a is the coefficient of x², b is the coefficient of x and c is the

    y-intercept

3. the x-coordinate of the vertex point h = \frac{-b}{2a} and

    k = f(h)

15.

∵ f(x) = x² + 8x - 10

∴ a = 1 and b = 8

∵ h = \frac{-b}{2a}

∴ h = \frac{-8}{2(1)}=-4

∴ h = -4

∵ k = f(h)

∴ k = f(-4)

- Substitute x by -4 in f(x)

∴ k = (-4)² + 8(-4) - 10

∴ k = 16 - 32 - 10

∴ k = -26

∴ f(x) = (x - -4)² + (-26)

∴ f(x) = (x + 4)² - 26

The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17.

∵ g(x) = (x + 3)² - 4

- Lets solve the power 2 of the bracket:

 (1st + 2nd)² = (1st)(1st) + 2(1st)(2nd) + (2nd)(2nd)

∵ (x + 3)² = (x)(x) + 2(x)(3) + (3)(3)

∴ (x + 3)² = x² + 6x + 9

∴ (x + 3)² - 4 = (x² + 6x + 9) - 4

∵ 9 - 4 = 5

∴ (x + 3)² - 4 = x² + 6x + 5

The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Learn more:

You can learn more about the vertex form of quadratic function in brainly.com/question/9390381

#LearnwithBrainly

4 0
3 years ago
Question Which sequence of transformations maps pre-image ABC to image A′B′C′ ? Triangle ABC was reflected over the y-axis and t
Stells [14]

The sequence of transformations was Triangle ABC was reflected over the y-axis and then translated 2 units up and 2 units to the right.

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

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is the transformation that does not change the shape or size of a figure. Examples of rigid transformations are <em>translation, reflection and rotation</em>.

Find out more on transformation at: brainly.com/question/4289712

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7 0
2 years ago
Can someone please please help me
Alekssandra [29.7K]

Answer:

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Step-by-step explanation:

Multiply 6 2 and 1 and also multiply 12 4 and 2 separately now divide 96 with 12 and you get 8 which is none of the answer choices

6 0
3 years ago
Read 2 more answers
Um i need help with this.
blsea [12.9K]

Answer:

None of these!

Step-by-step explanation:

x + y + z = x + y + z only over here

5 0
3 years ago
Read 2 more answers
kinata goes for swimming lessons every 5 days while wayo goes every 6 days. if both kinata and wayo had lessons together at the
eduard
5*6=30
and 6*5=30
basically we have to take Lcm of 5 and 6=30
30th day they both will be together
4 0
3 years ago
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