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2 years ago

How do you do questions 3 and 4 and explain if you can.

Mathematics

1 answer:

ioda2 years ago

6 0

Well for question 3 you could use algebra. if there are 4568 peaches and mangoes together and 1654 more peaches than mangoes. mangoes qill be our x and peaches will be x + 1654 because there are 1654 more peaches than mangoes. so since peaches + mangoes = 4568, x + 1654(peaches) + x(mangoes) = 4568, now we have to do the algebra. x + 1654 + x = 4568 , first collect like terms, x + x = 2x. 2x +1654 = 4568 now we subtract 1654 - 1654 and 4568 - 1654. 2x = 2914. now we do 2 divided by 2 and 2914 divided by 2. our answer is x = 1457, that's how many mangoes there are, now we do 1457 + 1654 to find out how many peaches there are, there are 3111 peaches. now let's check to see if we're right, 1457 + 3129 = 4568

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What is the slope of the graph of x - 2y = 8? A. 0 B. 1/2 C. 2 D. -1/2

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Answer:

1/2

Step-by-step explanation:

-2y= 8-X

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2 years ago

If the roots of a quadratic equation are 1±√5, then the product of the roots is

Drupady [299]

The plus-minus sign represents that there are two possible outcomes.

In this case, we have $1 \pm \sqrt{5}$ . When we branch out the possibilities we got 2 values: $1 + \sqrt{5}$ and $1 - \sqrt{5}$

Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.

When we multiply them: $(1 + \sqrt{5}) \times( 1 - \sqrt{5})$

When we FOIL the we get: $1 \times 1 - 1 \times \sqrt{5} + 1 \times \sqrt{5} - \sqrt{5} \times \sqrt{5}$

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So the product of the two roots of this equation is 6.

5 0

3 years ago

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Step-by-step explanation:

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2 years ago

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2 years ago

If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how

antoniya [11.8K]

Complete Question:

If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.

1. y = 3x + b

2. y = mx + 9

Answer:

1. Intercept, b = -1

2. Slope, m = -2

Step-by-step explanation:

Given the following data;

Points on the line (x, y) = (2, 5)

To find the missing values;

Mathematically, the equation of a straight line is given by the formula;

y = mx + b

Where;

m is the slope.
x and y are the points
b is the intercept.

1. y = 3x + b

Substituting the value of x and y, we have;

5 = 3(2) + b

5 = 6 + b

b = 5 - 6

Intercept, b = -1

2. y = mx + 9

Substituting the value of x and y, we have;

5 = m(2) + 9

5 = 2m + 9

2m = 5 - 9

2m = -4

m = -4/2

Slope, m = -2

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2 years ago