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3 years ago

Factor completely: 3x2 − 17x − 28

Mathematics

1 answer:

Olin [163]3 years ago

8 0

Hello,

3x²-17x-28=3x²-21x+4x-28=3x(x-7)+4(x-7)=(x-7)(3x+4)

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How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2. X 2 6x – 4y = –10 one

nordsb [41]

The system of equations provides a unique solution(one solution) at (-0.6, 1.6).

<h2>Given to us,</h2>

$y=\dfrac{2}{3}x+2$
$6x-4y=-10$

<h3>Equation 2</h3>

As we already have the value of y from equation 1, substitute its value in equation 2,

$6x-4y=-10$

$6x-4(\dfrac{2}{3}x+2)=-10$

$6x-\dfrac{8}{3}x-8=-10$

$\dfrac{6x}{1}-\dfrac{8}{3}x=-10+8$

$\dfrac{6x\times 3}{1\times 3}-\dfrac{8}{3}x=-2$

$\dfrac{18x-8x}{3}=-2$

$10x=-6\\$

$x=\dfrac{-6}{10} \\\\x=-0.6$

<h3>Equation 1,</h3>

$y=\dfrac{2}{3}x+2$

substitute the value of x in equation 1,

$y=\dfrac{2}{3}(\dfrac{-6}{10})+2\\\\y = \dfrac{-2}{5}+2\\\\y= \dfrac{-2+10}{5}\\\\y = \dfrac{8}{5}\\\\y=1.6$

As we can see the system of equations provides a unique solution(one solution) at (-0.6, 1.6).

Learn more about the system of equations:

brainly.com/question/12895249

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2 years ago

Batching s father is 26 years younger than Batching s grand father and 29 years older than Baching.The sum of the ages of all th

Shalnov [3]

$x + (x + 29) + (x + 26 + 29) = 135$
$3x + 84 = 135$
$3x = 51$
$x = 17$

Baching is 17 his father is 46 and grandfather is 72

7 0

3 years ago

Read 2 more answers

Picking a number that is divisible by 5 from a jar with papers labeled from 1 to 12

kogti [31]

Total number of possible outcomes:12
Number of favourable outcomes:2( since only two numbers divisible by 5 in that range are 5 and 10)
The possibility that you'll pick a number divisible by 5 is 2/12 or 1/6
Hope that's what you're looking for since you didn't specify.

8 0

3 years ago

If a1 = 6 and an<br> -5an-1 + 4 then find the value of a4.

Daniel [21]

9514 1404 393

Answer:

a4 = -666

Step-by-step explanation:

Use the recursive definition repeatedly.

a1 = 6

a2 = -5(6) +4 = -26

a3 = -5(-26) +4 = 134

a4 = -5(134) +4 = -666

3 0

2 years ago

Choose the number that is equal to: 2/3 divided by (-3) A.)-2 B.) -2/9 C.)2/9 D.) 2

zloy xaker [14]

Answer

B

Explanation
Dividing by -3 is same as multiplying by -1/3. Multiply those two fractions to get -2/9

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2 years ago