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3 years ago

How many solutions dose this system have ? X+4y=6 y=2x-3

Mathematics

1 answer:

Effectus [21]3 years ago

8 0

Replacing y by x in the first line we'll get x+8x-12=6, so 9x=18, x=2, y=1 being the only solution

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Explain how connecting digits to the right of the decimal point helps you multiply decimals.

Alex787 [66]

answer:

the decimal point shifts to the right to represent each multiplication by 10

Step-by-step explanation:

an example is 1.23*10

would give you 12.3 and if you multiply it by 100 it would give you 123

5 0

3 years ago

Which answer best describes the complex zeros of the polynomial function?

marysya [2.9K]

Answer-

D. The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.

Solution-

The given polynomial is,

$f(x)=x^3-x^2+6x-6$

The zeros of the polynomials are,

$\Rightarrow f(x)=0$

$\Rightarrow x^3-x^2+6x-6=0$

$\Rightarrow x^2(x-1)+6(x-1)=0$

$\Rightarrow (x^2+6)(x-1)=0$

$\Rightarrow (x^2+6)=0,(x-1)=0$

$\Rightarrow x=\sqrt{-6},\ x=1$

$\Rightarrow x=1,\ \pm \sqrt6i$

Therefore, this function has only one real zero i.e 1 and two nonreal zeros i.e ±√6i . The graph of the function intersects the x-axis at exactly one location i.e at x = 1

3 0

3 years ago

Will give brainliest

kow [346]

Answer:

PR= 8

ST=5

Step-by-step explanation:

PQ and PR are congruent so

2x=8

x=4

2*4=8

PR=8

ST and TU are congruent so

5z=2z+3

3z=3

z=1

5*1=5

ST=5

5 0

3 years ago

Read 2 more answers

HELP!! PROBABILITIES!!

denis23 [38]

2×3×4 She has 24 options of cars

7 0

3 years ago

Find the 7th term of the arithmetic sequence 4x + 5, 11x + 9,18x + 13, ...

Svet_ta [14]

Step-by-step explanation:

we see the common difference is

a2-a1 = 11x + 9 - 4x - 5 = 7x + 4

an = an-1 + (7x+4) = a1 + (n-1)×(7x+4)

for a7 we have then

a7 = 4x + 5 + 6×(7x +4) = 4x + 5 + 42x + 24 = 46x + 29

5 0

3 years ago