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allochka39001 [22]
3 years ago
7

Are the two lines x+2y=7 and 2x+4y=21 parallel or perpendicular?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
8 0

Answer:

They are parallel

Step-by-step explanation:

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Find the zeros of the function f(x) = x2 + 5x + 6. A) y = 6 because the graph crosses the y-axis at 6. B) y = -0.25 because that
Fofino [41]

Answer:

D.)

Step-by-step explanation:

The zero's are referencing when y=0, note that when y=0 they are talking about the x-intercepts.  You can graph the function and see when the graph crosses the x-axis or solve for the x-values.  I will solve it via factoring and so:

f(x)=x^2+5x+6

Multiply the outer coefficients, in this case 1 and 6, and 1×6=6.  Now let's think about all the factors of 6 we have: 6×1 and 2×3.  Now is there a way that if we use any of these factors and add/subtract them they will return the middle term 5?  Actually we can say 6-1=5 and 2+3=5.  Let's try both.

First let's use 6 and -1 and so:

x^2+5x+6\\\\x^2+6x-x+6\\\\x(x+6)-1(x-6)

Notice how we have (x+6) and (x-6), these factors do not match so this is incorrect.

Now let's try 2 and 3 and so:

x^2+5x+6\\\\x^2+3x+2x+6\\\\x(x+3)+2(x+3)\\\\(x+2)(x+3)

Notice how the factors (x+3) matched up so this is a factor and so is (x+2), now to solve for the zero's let's make f(x)=0 and solve each factor separately:

Case 1:

f(x)=x+2\\\\0=x+2\\\\x=-2

Case 2:

f(x)=x+3\\\\0=x+3\\\\x=-3

So your zero's are when x=-2 and x=-3.

D.) x=-3 and x=-2 because the graph crosses the x-axis at -3 and -2.


~~~Brainliest Appreciated~~~

8 0
3 years ago
Find the mode(s).
MissTica

Answer: NO MODE(S)

 

explanation: In math mode is the most frequent number. In this case the numbers don't repeat again and that is why there is no mode.

4 0
3 years ago
Consider the function f whose graph is shown below.
cestrela7 [59]

Answer:

The domain of the function is [-9,7] and the range of the function is [-6,4]

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3 years ago
Plz fill in the blank.....The _________ is the greatest of common factors of the two or more numbers.
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10 is the greatest common factor if two or more numbers
6 0
3 years ago
Two positive numbers have a difference of 5. the larger number is one more than twice the smaller. find the two numbers.
Andru [333]
Let the numbers be x and y with x being the larger number.

Given,

x - y = 5

x = 5 + y

Also given,

x = 1 + 2y

5 + y = 1 + 2y

y = 4

x = 5 + y = 9

Hence, the two numbers are 9 and 4.
5 0
3 years ago
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