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Varvara68 [4.7K]
3 years ago
10

Factor the perfect square trinomial y2 + 20y + 100.

Mathematics
1 answer:
klemol [59]3 years ago
3 0

Step-by-step explanation:

First find the factors of 100 then

y2 + 20y +100

y2 +10y + 10y +100

y ( y + 10) + 10(y + 10)

So the factor is ( y + 10)

Option C is the correct answer

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What is the solution of 3+ X-2/x-3 less than or equal to 4
Archy [21]

Answer:

Step-by-step explanation:

3+3+\frac{x-2}{x-3} \leq 4\\\\\frac{x-2}{x-3} \leq 4-3\\\frac{x-3+1}{x-3} \leq 1\\1+\frac{1}{x-3} \leq 1\\\frac{1}{x-3} \leq 0\\x-3 \leq 0\\x\leq 3

5 0
3 years ago
The ratio of peaches to pears is 4:2 respectivily. if there are 12 pears how many peaches are there
AlekseyPX

Answer:

24 peaches

Step-by-step explanation:

4/2=x/12

48=2x

24=x

6 0
3 years ago
Read 2 more answers
A flat screen TV is on sale at Best Buy for $295.
Amanda [17]

Answer:

$314.18

Step-by-step explanation:

6.5% as a decimal would be 0.065.

First, multiply 0.065(295) to find the tax.

0.065(295)=19.175.

This means that tax would be $19.18.

Next, add the tax to the cost of the flat screen TV to find the total cost:

$19.18+$295=$314.18

The total cost is $314.18

4 0
3 years ago
Solve the linear programming problem by graphing. graph the feasible region, list the extreme points and identify the maximum va
lisov135 [29]

Answer:

The minimum value of objective function is 5 at x=0 and y=5.

Step-by-step explanation:

The given linear programming problem is

Minimize z=4x+y

Subject to  constraints

2x+4y\geq 20         .... (1)

3x+2y\leq 24          .... (2)

x,y\geq 0

The related line of both inequalities are solid lines because the sign of inequalities are ≤ and ≥. It means the points lie on related line are included in the solution set.

Check both inequalities by (0,0).

2(0)+4(0)\geq 20

0\geq 20

This statement is not true. So, the shaded region of inequality (1) will not contain the origin.

3(0)+2(0)\leq 24

0\leq 24

This statement is true. It means the shaded region of inequality (2) will contain the origin.

x,y\geq 0 means first quadrant.

The common shaded region is feasible region. The vertices of feasible region are (0,5), (0,12) and (7,1.5).

Calculate the value of objective function at these vertices.

For (0,5)

z=4(0)+(5)=5

For (0,12)

z=4(0)+(12)=12

For (7,1.5)

z=4(7)+(1.5)=29.5

Therefore the minimum value of objective function is 5 at x=0 and y=5.

3 0
3 years ago
Where do f(x) and the line y=1 intersect?
Andru [333]
F(x) and y=1 intersect at (3,1)
6 0
3 years ago
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