5x + 4y = 6 and y = 5/4x + 5

Answers

Answer 1
Answer:

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−7/5,13/4)

Equation Form:

x=−75,y=134x=-75,y=134


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Can you please solve a it is so important

Answers

f(x)=-x2+5n
g(x)=-2n+15
A(x)=|g(x)-f(x)|=|x2-7n+15|
x2-7n+15>0 for every x (1)
A(x)=x2-7n+15

(1):
x2-7n+15=(x-3.5)^2-12.25+15=(x-3.5)^2+2.75 > 0
because for every x: (x-3.5)^2>=0

answer: A(x)=x2-7n+15

Consider polynomial function f(x) = (x+ 1)(x−2)(x−3).(a) Find all zeros.
(b) The zeroes divide R into a few open intervals. Find sign of f(x) for x in each
interval.

Answers

a) f(x) = 0 <=> x = -1 or x = 2 or x = 3;
b) x∈(-oo, -1) => f(x) < 0;
    x∈(-1, 2) => f(x) > 0;
    x∈(2, 3) => f(x) < 0;
    x∈(3, +oo) => f(x) > 0;

The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees. How far do riders travel on the lift? Round your answers to the nearest whole number.

Answers

Answer:

6852 feet .

Step-by-step explanation:

Refer the attached figure

The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet

The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°

We are supposed to find  How far do riders travel on the lift i.e.AC

In ΔABC

We will use trigonometric ratio

Sin\theta =(Perpendicular)/(Hypotenuse)

Sin22.3^(\circ) =(AB)/(AC)

AC=(2600)/(Sin22.3^(\circ))

AC=(2600)/(0.379456159529)

AC=6851.9

So, riders travel 6852 feet .

The y distance of this problem is 2600 with an angle of elevation of 22.3 degrees. This angle is measured from the horizontal. This problem is solved using the Pythagorean theorem where 2600 is the opposite and we are to solve the hypotenuse. It is solved by the equation sin(theta) = opposite /hypotenuses. Plug in the given and the answer is 6852 feet. 

How many feet per hour is 200cm per minute ?

Answers

Answer:

393.7 feet per hr

Step-by-step explanation:

200cm per min

12000cm per hr

cm to feet. divide by 30.48

393.7 ft per hr

the answer is 393 feet per hour

A teacher is having three students take care of 28 goldfish during the summer. He gave some of them to Alaina. Then he gave twice as many Miguel. He gave twice as many to Kira as he gave to Miguel. How many fish did each student get?

Answers

Answer:

Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16

Step-by-step explanation:

Let the number he gave to Alaina be x. Now, we know he gave twice as many to Miguel. Amount received by Miguel is 2x.

He gave Kira 2 times what he gave Miguel, that is 2x * 2 = 4x

Addition of all these equals 28. We now get x

4x + 2x + x = 28

7x = 28

X = 28/7

x = 4

Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16

A grocery sold 5kg of wheat flour at Rs30 per kg and gained 20%. If he had sold it at Rs27 per kg, what would be his gain or loss percent.

Answers

Answer:

His gain percent would have been 8%

Step-by-step explanation:

The key to answering this question is to first calculate the price at which the wheat flour was bought.

Mathematically;

% profit = (selling price-cost price)/cost price * 100%

Let the cost price be $x

Thus;

% profit = (30-x)/x * 100

20 = 100(30-x)/x

20x = 3000-100x

100x + 20x = 3000

120x = 3000

x = 3000/120

x = Rs 25

So let’s assume he sold at Rs 27

His profit would have been 27-25 = 2

His gain or loss percentage would’ve been;

2/25 * 100/1 = 200/25 = 8% (gain, since selling price is greater than the cost price)