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finlep [7]
3 years ago
6

Rewrite the equation by completing the square 4x^2 +28x +49=0

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Answer:  −3.5

Step-by-step explanation:

Standard form:

4x2 + 28x + 49 = 0

Factorization:

(2x + 7)2 = 0

Answer equation: 2x + 7 = 0  ⇒ x1 = x2 = −7  over 2   = −3.5

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4x + 9y = 4
saw5 [17]

Answer:

x=101/65, y=-16/65. (101/65, -16/65).

Step-by-step explanation:

4x+9y=4

9x+4y=13

----------------

9(4x+9y)=9(4)

-4(9x+4y)=-4(13)

------------------------

36x+81y=36

-36x-16y=-52

----------------------

65y=-16

y=-16/65

4x+9(-16/65)=4

4x-144/65=4

4x=4+144/65

4x=404/65

x=(404/65)/4=101/65

x=101/65, y=-16/65.

7 0
3 years ago
Please help! Will give Brainliest!
Serhud [2]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
A circular tabletop has a circumference of 94.2 inches. What is its area? Approximate Π as 3.14.
sattari [20]
A≈706.14in² hope it helps
5 0
2 years ago
Read 2 more answers
A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-st
ziro4ka [17]

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

0 < x ≤ 100 and 0 < y ≤ 300

x > 0 and y > 0

0 < x ≤ 100 and y > 300

0 < x and y < 100

SOLUTION

they only have space to accept 100 out-of-state students,which means that the Maximum number of out-of-state students that can be accepted is 100

Then x= 100(Maximum number of out-of-state students that can be accepted)

They plan to accept three times as many in-state students as out-of-state which means that

Y = 3x(Maximum number of in-state students)

Then we can deduced that the numbee out-of-state students that can be accepted can lyes between the range of 0 and 100 which means from interval 0 to 100

Which can be written as 0 < x ≤ 100

But we need to know the interval for the Maximum number of in-state students(Y), to do that we need to multiply the equation above by 3 since Y = 3x

0 < x ≤ 100

3× 0 = 0

3× X = X

3× 100= 300

Then 0 < 3x≤ 300

But we know that Y = 3x then substitute into last equation

We have

0 < y ≤ 300

ThenBthe constraints to represent the incoming students at the college is

0 < x ≤ 100 and 0 < y ≤ 300

8 0
2 years ago
Keisha bought 11 pounds of rice for $5.
Mazyrski [523]

Answer:

$2.20

Step-by-step explanation:

11 pounds of rice for $5.

Divide the $5 by 11.

11 divided by 11 is 1.

So 1 pound of rice is $2.20.

(PS i might be wrong, SO SORRY IF I AM)

5 0
3 years ago
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