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3 years ago

The most popular items at a bakery are its raspberry scones and its lemon poppy

1 answer:

7 0

The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.

Step-by-step explanation:

Given,

Cost per box of raspberry = $15

Cost per box of lemon seeds = $9

Total boxes sold = 46

Total revenue generated = $396

Let,

r represent the number of raspberries sold

l represent the number of lemon seeds sold

According to given statement;

r+l = 46 Eqn 1

15r + 9l = 396 Eqn 2

The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.

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Which is an equation in point-slope form for the given point and slope point (8 -4) slope 5/6

Alina [70]

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Step-by-step explanation:

Point slope form: (y−y1) = m (x−x1), where (x1,y1) is the point, and m is the slope.

(y- (-4)) = (5/6)*(x - 8)

(y + 4) = (5/6)*(x - 8)

If you want in standard form

(y + 4) = (5/6)*x - (5/6)*8

y = (5/6) x - (5/6)*8 - 4

y = (5/6)x - (16/6)

Answer:

(y + 4) = (5/6)*(x - 8)

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3 years ago

What is the cardinal number of the set S={all letters contained within the word BALLADEER}?

Vinil7 [7]

Answer:

Step-by-step explanation:

sets cannot have repeated elements. So this set only has the letters B, A, L, D, E, R which means the cardinality is 6

8 0

2 years ago

Given that your monthly expenses for the house that you want to purchase totals $1,562.30 (this includes the house payment, annu

alexandr1967 [171]

B..................................

6 0

3 years ago

Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that

m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

$y=a(x-c_1)(x-c_2)...(x-c_n)$

Where, a is a constant and $c_1,c_2,...,c_n$ are the roots of the polynomial.

Polynomial roots are 1 and 2. So, $(x-1)$ and $(x-2)$ are the factors of the polynomial.

Let the third root of the polynomial by c, then $(x-c)$ is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

$y=8(x-1)(x-2)(x-c)$

The graph passes through the point (4,5). Putting $x=4,y=5$ , we get

$5=8(4-1)(4-2)(4-c)$

$5=8(3)(2)(4-c)$

$5=48(4-c)$

Divide both sides by 48.

$\dfrac{5}{48}=4-c$

$c=4-\dfrac{5}{48}$

$c=\dfrac{192-5}{48}$

$c=\dfrac{187}{48}$

Therefore, the 3rd root on the polynomial is $\dfrac{187}{48}$ .

8 0

3 years ago

A group of students made tacos for their class lunch. The number of tacos each student made is shown in the table.

nevsk [136]

Answer:

-the ratio of the number of tacos Jackie made to the number of tacos Marta made

-the ratio of the number of tacos Marta made to the number of tacos Manny made

-the ratio of the number of tacos Manny made to the number of tacos Marta made

-the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made

Step-by-step explanation:

There are 4 that apply! Jackie and many both made 6 and Marta made 4 so the ratio is 6:4! Vinny and Marty's combined is 6 and Vinny and evelyn's combined is 4 so the ratio is 6:4!

8 0

3 years ago