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torisob [31]
3 years ago
11

3x²+16x-115=0 factored?

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

3ײ+16×-115

: 2×2×2 +16

: 20×min 115 Negatif

: positif +negatif =positif

: jadi jawaban

: 3.100 ²

Step-by-step explanation:

" i'm sorry ya kalo jawaban nya salah"

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For which system of equations is (5, 3) the solution? A. 3x – 2y = 9 3x + 2y = 14 B. x – y = –2 4x – 3y = 11 C. –2x – y = –13 x
Alla [95]
The <u>correct answer</u> is:

D) \left \{ {{2x-y=7} \atop {2x+7y=31}} \right..

Explanation:

We solve each system to find the correct answer.

<u>For A:</u>
\left \{ {{3x-2y=9} \atop {3x+2y=14}} \right.

Since we have the coefficients of both variables the same, we will use <u>elimination </u>to solve this.  

Since the coefficients of y are -2 and 2, we can add the equations to solve, since -2+2=0 and cancels the y variable:
\left \{ {{3x-2y=9} \atop {+(3x+2y=14)}} \right. &#10;\\&#10;\\6x=23

Next we divide both sides by 6:
6x/6 = 23/6
x = 23/6

This is <u>not the x-coordinate</u> of the answer we are looking for, so <u>A is not correct</u>.

<u>For B</u>:
\left \{ {{x-y=-2} \atop {4x-3y=11}} \right.

For this equation, it will be easier to isolate a variable and use <u>substitution</u>, since the coefficient of both x and y in the first equation is 1:
x-y=-2

Add y to both sides:
x-y+y=-2+y
x=-2+y

We now substitute this in place of x in the second equation:
4x-3y=11
4(-2+y)-3y=11

Using the distributive property, we have:
4(-2)+4(y)-3y=11
-8+4y-3y=11

Combining like terms, we have:
-8+y=11

Add 8 to each side:
-8+y+8=11+8
y=19

This is <u>not the y-coordinate</u> of the answer we're looking for, so <u>B is not correct</u>.

<u>For C</u>:
Since the coefficient of x in the second equation is 1, we will use <u>substitution</u> again.

x+2y=-11

To isolate x, subtract 2y from each side:
x+2y-2y=-11-2y
x=-11-2y

Now substitute this in place of x in the first equation:
-2x-y=-13
-2(-11-2y)-y=-13

Using the distributive property, we have:
-2(-11)-2(-2y)-y=-13
22+4y-y=-13

Combining like terms:
22+3y=-13

Subtract 22 from each side:
22+3y-22=-13-22
3y=-35

Divide both sides by 3:
3y/3 = -35/3
y = -35/3

This is <u>not the y-coordinate</u> of the answer we're looking for, so <u>C is not correct</u>.  

<u>For D</u>:
Since the coefficients of x are the same in each equation, we will use <u>elimination</u>.  We have 2x in each equation; to eliminate this, we will subtract, since 2x-2x=0:

\left \{ {{2x-y=7} \atop {-(2x+7y=31)}} \right. &#10;\\&#10;\\-8y=-24

Divide both sides by -8:
-8y/-8 = -24/-8
y=3

The y-coordinate is correct; next we check the x-coordinate  Substitute the value for y into the first equation:
2x-y=7
2x-3=7

Add 3 to each side:
2x-3+3=7+3
2x=10

Divide each side by 2:
2x/2=10/2
x=5

This gives us the x- and y-coordinate we need, so <u>D is the correct answer</u>.
7 0
3 years ago
ASAP answer please. First is brainliest.
chubhunter [2.5K]

Answer:

A. d + c = 50

    4d + 2c = 174

Step-by-step explanation:

Mark me brainliest

6 0
3 years ago
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PLEASE HEEELPPP 15 POINTS PLESSEE
sergeinik [125]
Answer:

200.96 yd^2

Step-by-step explanation:

Area of a circle = πr^2 where r = radius

radius = diameter/2

radius = 16/2

radius = 8

Area = π(8)^2

Area = π64

Area = 200.96 yd^2
6 0
3 years ago
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A right cylinder has a base area of 16pi square inches and a height of 8 inches. which shape has the same volume as the right cy
Studentka2010 [4]

Answer:

64π^2  cubic inches

Step-by-step explanation:

The question is not complete, the shapes are not given

Diameter of base= 16π

Radius of base= 8π

Height of cylinder = 8 inches

Let us find the volume of the cylinder

V= πr^2h

V= π* (8π)* 8

V= 64π^2  cubic inches

Hence the volume of the cylinder is 64π^2  cubic inches

5 0
2 years ago
A die is rolled 23 times and the number of twos that come up is tallied. If this experiment is repeated many times, find the sta
Anon25 [30]

The probability of rolling a 2 is 1/6. If X is a random variable representing the number of 2s that are obtained after rolling a die 23 times, then X follows a binomial distribution with success probability p = 1/6 across n = 23 trials.

The variance of a binomial distribution with parameters p and n is n p (1 - p), so the standard deviation in this case would be

√(23 • 1/6 • 5/6) ≈ 1.8

7 0
3 years ago
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