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3 years ago

Solve the system by elimination -6x + 6y = 0 9x - 8y = 4

Mathematics

1 answer:

Art [367]3 years ago

4 0

Answer:

x=4, y=4

Step-by-step explanation:

X=(4+8y)/9

-6×(4+8y)/9 +6y=0

-2×(4+8y)/3+ 6y=0

-2×(4+8y) + 18y =0

-8-16y+18y=0

2y=8

y=4

-6x+6×4=0

-6x=-24

x=4

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PLEASE I NEED HELP!!!!!!!!

Yanka [14]

Answer:

1) x= 3i, x= - 3i

2) x= +i $\sqrt{7}$ , x = - i

Step-by-step explanation:

1) x^2+9=0

(x+3i)(x-3i)=0

x= 3i, x=-3i

2) x^2-4=-11

x^2=-7

x= ±i $\sqrt{7}$

x= +i $\sqrt{7}$ , x = - i

hope this helps!! :))

7 0

3 years ago

The circumference of a circle is 60 cm. What is the diameter

Mariana [72]

Using the formulas

C = 2πr

d = 2r

Solving for 'd' (diameter)

d = C

π = 60

π ≈ 19.09859cm

7 0

3 years ago

Assume that a sample is used to estimate a population proportion μ . Find the margin of error M.E. that corresponds to a sample

hichkok12 [17]

Answer:

$MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\$

Step-by-step explanation:

Since the sample size is quite large, we can use the z-distribution.

The margin of error is given by

$MoE = z_{\alpha/2}(\frac{s}{\sqrt{n} } )$

Where n is the sample size, s is the sample standard deviation and $z_{\alpha/2}$ is the z-score corresponding to a 90% confidence level.

The z-score corresponding to a 90% confidence level is

Significance level = α = 1 - 0.90= 0.10/2 = 0.05

From the z-table at α = 0.05

z-score = 1.645

$MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\$

Therefore, the margin of error is 0.776.

3 0

3 years ago

Write the perimeter of each figure as a trinomial. Must show your work.

noname [10]

Answer:

P = 2n + 8m - 1

Step-by-step explanation:

A trinomial is an expression or equation that has three terms. A term is when between the numbers or variables, the operations are neither subtraction nor addition, or when there is only one number.

If two terms have the same variable, called like terms, they can be combined by addition or subtraction.

The perimeter is the total length of all the sides.

The formula for the perimeter of a triangle is $P = s_{1} + s_{2} + s_{3}$ for each of the three sides.

Substitute each of the three sides.

$P = s_{1} + s_{2} + s_{3}$

$P = n + (2m + n) + (6m - 1)$

$P = n + 2m + n + 6m - 1$ brackets can be removed

$P = n + n + 2m + 6m - 1$ rearrange equation according to like terms

$P = 2n + 8m - 1$ collected the like terms by addition

3 0

3 years ago

A cooler contains fifteen bottles of sports drink: eight lemon-lime flavored and seven orange flavored

dem82 [27]

Answer:

Mutually exclusive,

$P(\text{Lemon-lime or orange})=\frac{2}{3}$

Step-by-step explanation:

Please consider the complete question:

Determine if the scenario involves mutually exclusive or overlapping events. Then find the probability.

A cooler contains twelve bottles of sports drink: four lemon-lime flavored, four orange flavored, and four fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or an orange.

Let us find probability of finding one lemon lime drink.

$P(\text{Lemon-lime})=\frac{\text{Number of lemon lime drinks}}{\text{Total drinks}}$