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sukhopar [10]
3 years ago
12

Y = a(x-2)(x+4) the graph of the equation in the xy- plane is a parabola with vertex (c,d)

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

To clarfiy, is there anyway I can solve a system of equations such as: Asin(x) + Bcos(y) - D = 0 Bcos(x) + Asin(y) - C = 0

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Multiply (a-b)(a^2+ab+b^2)​
AlexFokin [52]

Answer:

=(a-b)(a^2+ab+b^2)

= a^3+a^2b+ab+ab^2-ba^2-ab^2-b^3

SIMPLIFY

=a^3+ab-b^3

3 0
3 years ago
Mark and ann together were allocated n boxes of cookies to sell for a club project. mark sold 10 boxes less than n and ann sold
Lady bird [3.3K]
<span>n = 11<span>.

Explanation:
Let m be the number of boxes Mark sells and a be the number of boxes Ann sells.

Since Mark sells 10 less than n, m = n-10. Since Ann sells 2 less than n, a = n-2.

Together, they sold n-10+n-2=2n-12 boxes.

We know that they sold less than n boxes, so our inequality would be
2n-12<n.

To solve this, subtract n from both sides:
2n-12-n<n-n; n-12<0.

Add 12 to both sides:
n-12+12<0+12; n<12.

This means there were less than 12 boxes. The next number down is 11; this woks because Mark sold 10 less than n; 11-10=1. Mark sold at least 1 box.

If n=10, however, 10-10=0; this doesn't work, because Mark did sell at least 1 box.  </span></span>
3 0
3 years ago
Read 2 more answers
The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse.
Law Incorporation [45]
The square root of 41
or
6.40312424
5 0
3 years ago
Write each equation in slope-intercept form.
Alexxx [7]

Answer:

A. y = -3/2x + 1

B. y = -5/3x + 10

C. y = -x + 6/5

Step-by-step explanation:

A. You just have to isolate the y so divide by 4: y = -3/2x + 1

B. 3y = -5x + 30

Divide by 3: y = -5/3x + 10

C. -5x + 6 = 5y

Divide by 5: -1x + 6/5 = y OR y = -x + 6/5

5 0
3 years ago
Read 2 more answers
5. One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in
hram777 [196]
X: liters of 15% orange juice
y: liters of 10% orange juice

x+y=5L

y=5L - x

x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:

0.15x+0.10y = 0.12(5L)

0.15x+0.10(5L-x)=0.12(5L)

0.15x+0.5-0.10x=0.6

0.05x=0.1L

x=2L

so y = 3L

so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice
4 0
3 years ago
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