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Troyanec [42]
2 years ago
7

3 kg of potatoes and 2 kg of apples cost a total of £7.33.

Mathematics
1 answer:
KengaRu [80]2 years ago
8 0

Answer:

€2.24

Step-by-step explanation:

Let, the potatoes be x and apples be y

A/c to question,

4x = 3.80

x = 0.95

And,

3x + 2y = 7.33

3*0.95 + 2y = 7.33

2y = 7.33 - 2.85

y = 4.48/2

y = €2.24

Hence, the cost of 1 kg apple (y) = €2.24

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Step-by-step explanation:

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Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop
Anika [276]

Answer:

Equation: y=2x-1

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y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_1,y_1) and (x_2,y_2) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

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x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m=\frac{-5--3}{-2--1}

simplify

m=\frac{-5+3}{-2+1}

add

m=\frac{-2}{-1}

divide

m=2

So the slope is <u>2</u>

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

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Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

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multiply

-3=-2+b

Add 2 to both sides

<u>-1=b (the value of the y intercept!) </u>

Substitute -1 as b into the equation

<u>y=2x-1</u>

We found everything needed for this problem

Hope this helps!

8 0
3 years ago
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snow_tiger [21]

Answer:

  -864

Step-by-step explanation:

The determinant of a matrix product is the product of the determinants. The determinant of a transpose is the same as the determinant of the original. Hence ...

  |AB^5C^T|=(4)(-2)^5(\frac{1}{4})=-32

The multiplication of an n×n matrix by a scalar 'a' multiplies its determinant by a^n, so the desired determinant is ...

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3 years ago
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mixer [17]

Answer:

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Step-by-step explanation:

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