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lys-0071 [83]
3 years ago
10

Austin is baking apple pies and apple cakes. Each pie takes three times the number of apples as each cake. He plans to make 2 pi

es and 4 cakes. He wrote down the expression 2(3x) + 4(x) to model his baking plans. What does this entire expression represent
Mathematics
1 answer:
Jet001 [13]3 years ago
3 0
This entire expression gives the total number of apples required to make 2 pies and 4 cakes.

x is the number of apples for a cake.  3x would be the number of apples it takes to make a pie.  2(3x) would be the apples for 2 pies and 4(x) would be the number of apples for 4 cakes.
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The model represents x2 – 9x + 14.
Stels [109]

Factorize the quadratic trinomial x^2 - 9x + 14 by the rule:

ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are its roots. }

1. Find the roots:

D=(-9)^2-4\cdot 14=81-56=25,\ \sqrt{D}=5,\\ \\ x_1=\dfrac{9-5}{2}=2,\ x_2=\dfrac{9+5}{2}=7.

2. Factorize the polynomial:

x^2 - 9x + 14=(x-2)(x-7).

3. Only factor x-2 is given in options, then the correct choice is B.

6 0
3 years ago
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If i had 33 watermelons in one hand and 21 apples in another <br> what do i have?
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Answer:

Your hands full

Step-by-step explanation:

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3 years ago
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Determine which statement is true about the zeros of the function graphed below.
Oksi-84 [34.3K]
The real solution occurs when the graph intersects the x axis,

In the problem shown, the graph does not intersect the x axis, therefore it has no real solution, this means that the answer must have a complex conjugate pair

The answer is
function f has exactly two complex solutions
4 0
3 years ago
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Find the equation of the ellipse with the following properties.
zalisa [80]
Equation of an ellipse:

(x-h)²/a² + (y-k)²/b² = 1
Since it passes through the origin (0,0) , then h = k = 0 hence the equation:
(x-0)²/a² + (y-0)²/b² = 1
x²/a² + y²/b² = 1

2a = major axis = 2.|5| + |-5| = 10. then a = 5 and a² = 25
2b = minor axis = 2.|3| + |-3| = 6. then b = 3 and b² = 9

Then the final equation is:
x²/25 + y²/9 = 1

6 0
3 years ago
Identify the solution(s) of v2+11v−26=0.
miss Akunina [59]

Answer:

i solved for v and got

v = 2, -13

i hope this helps :]

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