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Rama09 [41]
3 years ago
12

Which systems of equations have exactly one solution?

Mathematics
1 answer:
fenix001 [56]3 years ago
4 0
1.
y=2x \\ y=2x+1 \\ \\
2x=2x+1 \\
2x-2x=1 \\
0=1 \\
not \ true - no \ solution

2.
x=5 \\
y=-4 \\
already \ solved - one \ solution

3.
y=x+6 \\
y-6=x \\ \\
y=x+6 \\
y=x+6 \\ \\
x+6=x+6 \\
x-x=6-6 \\
0=0 \\
true - infinitely \ many \ solutions

4.
y=3x+4 \\
y=3 \\ \\
3=3x+4 \\
3-4=3x \\
-1=3x \\
x=-\frac{1}{3} \\ \\
(x,y)=(-\frac{1}{3},3) - one \ solution

The answer is 2 and 4.
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Let f(x) = 3x^2 – 8x + 5 and let g(x) = 2x – 8. Find
fenix001 [56]

Answer:

B. 3x² – 10x + 13

Step-by-step explanation:

given:

f(x) = 3x² – 8x + 5

g(x) = 2x – 8

f(x) - g(x)

= (3x² – 8x + 5) - (2x – 8)

= 3x² – 8x + 5 - 2x + 8

= 3x² – 10x + 13

3 0
3 years ago
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Irina-Kira [14]
It is <span>B) x-axis only 
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5 0
3 years ago
What is solution for x if: 3x-6=6x+3
wlad13 [49]

3x-6=6x+3

3x-6x=3+6

-3x=9 //(-3)

x=-3

5 0
3 years ago
Read 2 more answers
Answer the questions by drawing on the coordinate plane below.
solniwko [45]

Coordinates of the given triangle ΔPQR P(1,-1), Q(3,-2), R(3,-4).

a) Let us discuss the rule for rotation of 90° clockwise about the origin.

If given coordinate is (h,k) is rotated 90° clockwise about the origin the position of rotated coordinate will be (k, -h).

x and y coordinates would switch their values and after switching x any values, the y value of the coordinates would reverse in sign.

So, the coordinates of rotated ΔPQR P(1,-1), Q(3,-2), R(3,-4) would become

P(1,-1) --> P'(-1,-1)

Q(3,-2) --> Q'( -2,-3)

R(3,-4) --> R'(-4,-3)

b) If given coordinate is (h,k), the coordinates after reflection across the x-axis would besome (h,-k). (Just change in the sign of y-coordinate).

So, the coordinates of rotated ΔPQR P(1,-1), Q(3,-2), R(3,-4) would become

P(1,-1) --> P"(1,1)

Q(3,-2) --> Q"( 3,2)

R(3,-4) --> R"(3,4)



6 0
3 years ago
Three times the difference of ten and a number is four.
Paul [167]

Answer:

3 (10-a) = 4 i think

Step-by-step explanation:

7 0
3 years ago
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