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Readme [11.4K]
3 years ago
12

a) John is 3 years older than his brother Brian, the product of their ages is 54 i) Express this information in equation form ii

) Show this information as a quadratic equation iii) Hence, solve the equation to find their individual ages.
Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0

Answer:

John is 9, Brian is 6.

Step-by-step explanation:

I)

Let J represent John's age and B represent Brian's age.

John is three years older than Brian. In other words:

J=B+3

The product of their ages is 54. Or:

JB=54

II)

Write this as a quadratic by substituting:

JB=54\\(B+3)B=54\\B^2+3B-54=0

III)

Solve the quadratic:

B^2+3B-54=0\\B^2-6B+9B-54=0\\B(B-6)+9(B-6)=0\\(B+9)(B-6)=0\\B=-9, 6

Since age cannot be negative, Brian must be 6 years old right now.

John is three year older, so John is 9.

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Answer:

6 =k

Step-by-step explanation:

Given the equation for inverse variation

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The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1750 pounds, and a standard deviation of
AlladinOne [14]

Answer:

We accept the null hypothesis that the  breaking strength mean is less and equal to 1750 pounds and has not increased.

Step-by-step explanation:

The null and alternative hypotheses are stated as

H0:  u ≥ 1750   i.e the mean is less and equal to 1750

against the claim

Ha: u > 1750  ( one tailed test)  the mean is greater than 1750

Sample mean = x`= 1754

Population mean = u = 1750

Population deviation= σ = 65 pounds

Sample size= n = 100

Applying the Z test

z= x`- u / σ/ √n

z= 1754- 1750 / 65/ √100

z= 4/6.5

z= 0.6154

The significance level alpha = 0.1

The z - value at 0.1 for one tailed test is ± 1.28

The critical value is z > z∝.

so

0.6154 is < 1.28

We accept the null hypothesis that the  breaking strength mean is less and equal to 1750 pounds and has not increased.

8 0
3 years ago
Please help me. will mark brainliest. what is the answer?
VARVARA [1.3K]

Answer:

A ) y=-1/2x+2

Step-by-step explanation:

since the equation is y=2x+4 and the points are (-2,3) and the line is perpendicular to that equation

y=-1/2x+b

enter the point (-2,3)

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A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are repres
nata0808 [166]

Answer:

<u>3.6 meters</u> are represented by 18 centimeters on the blueprint.

Step-by-step explanation:

Given:

A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters.

Now, to find the actual meters represented by 18 centimeters.

Let the actual meters represented by 18 centimeters be x.

As, given the scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters.

So, 10 centimeters equivalent to 2 meters.

Thus, 18 centimeters equivalent to x.

Now, to solve by using cross multiplication method:

\frac{10}{2}=\frac{18}{x}

<em>By cross multiplying we get:</em>

10x=36

<em>Dividing both sides by 10 we get:</em>

x=3.6\ meters.

Therefore, 3.6 meters are represented by 18 centimeters on the blueprint.

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3 years ago
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