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3 years ago

Solve the system of equations.

Mathematics

2 answers:

melamori03 [73]3 years ago

8 0

THE ANSWER:

A IS THE ANSWER HOPE THIS WORKES

Step-by-step explanation:

Goryan [66]3 years ago

4 0

Answer: the first option! this is because one of the equations, x = y-4, is telling you what x equals. so in order to solve the equation, you need to substitute that into the x in the second equation

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Uhlt test

Olegator [25]

Answer:

Answer:

The y-intercept is -21. The x-intercept is -10.5 or $-\frac{21}{2}$ .

(0, -21) and (-10.5, 0)

Step-by-step explanation:

To find the y-intercept, you would plug in 0 for x.

y = -2x - 21

y = -2(0) - 21

y = 0 - 21

y = -21

The y-intercept is -21.

To find the x-intercept, you would plug in 0 for y.

y = -2x - 21

0 = -2x - 21

2x = -21

x = -21/2

x = -10.5 or $-\frac{21}{2}$

The x-intercept is -10.5 or $-\frac{21}{2}$ .

4 0

3 years ago

I need help with this <br> (-7)(-5) =

elena55 [62]

Answer would be 35 as minus times minus is positive

3 0

2 years ago

(1/x-4)• (-x^2+9x-20/x+2)<br> (Multiplying And Dividing Rational Expressions)

IRISSAK [1]

ANSWER

$\frac{5 - x}{x + 2}$

EXPLANATION

We want to simplify the rational expression:

$( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 9x - 20}{x + 2} )$

We split the middle term to obtain:

$( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 5x + 4x- 20}{x + 2} )$

We now factor to obtain;

$( \frac{1}{x - 4)} )( \frac{-x(x - 5) + 4(x - 5)}{x + 2} )$

$( \frac{1}{x - 4)} )( \frac{(x - 5)(4 - x)}{x + 2} )$

$( \frac{1}{x - 4)} ) ( \frac{ - (x - 5)(x - 4)}{x + 2} )$

We cancel the common factors to get;

$\frac{ - (x - 5)}{x + 2}$

$= \frac{5 - x}{x + 2}$

7 0

4 years ago

2/7(x+4)=−6 whats the value of x

Lady_Fox [76]

X+4=-6*7/2
x+4=-21
x=-21-4
x=-25

4 0

3 years ago

Read 2 more answers

The Nelson Company makes the machines that automatically dispense soft drinks into cups. Many national fast food chains such as

S_A_V [24]

Answer:

a) 0 .0228

b) 14.69 ounces

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 16 ounces

Standard Deviation, σ = 0.4 ounces

We are given that the distribution of volume of soft drink is a bell shaped distribution that is a normal distribution.

Volume of new cup = 16.8 ounces

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) new cup will overflow when filled by the automatic dispenser

P( x > 16.8)

$P( x > 16.8) = P( z > \displaystyle\frac{16.8 - 16}{0.4}) = P(z > 2)$

$= 1 - P(z \leq 2)$

Calculation the value from standard normal z table, we have,

$P(x > 16.8) = 1 - 0.9772 = 0.0228 = 2.28\%$

0.0228 is the probability that a new cup will overflow when filled by the automatic dispenser.

b) mean amount dispensed by the machine be set to satisfy this wish

We have to find the value of x such that the probability is 0.006

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{16.8 - \mu}{0.4})=0.006$

$= 1 -P( z \leq \displaystyle\frac{16.8 - \mu}{0.4})=0.006$

$=P( z \leq \displaystyle\frac{16.8 - \mu}{0.4})=0.994$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{16.8 - \mu}{0.4} = 2.512\\\\\mu = 14.688\\\mu \approx 14.69$

Thus, the mean amount dispensed should be set to approximately 14.69 ounces so that the probability that a new cup will overflow is 0.006

3 0

3 years ago