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amid [387]
3 years ago
5

p: Two linear functions have different coefficients of x. q: The graphs of two functions intersect at exactly one point. Which s

tatement is logically equivalent to q → p?
Mathematics
2 answers:
miskamm [114]3 years ago
7 0
The formula q \Rightarrow p means that from statement q implies statement p. 

When statements p="two linear functions have different coefficients of x" and q="the graphs of two functions intersect at exactly one point", then the statement q \Rightarrow p have a form: "If the graphs of two functions intersect at exactly one point, then two linear functions have different coefficients of x."



erastovalidia [21]3 years ago
3 0

Answer:

If two linear functions have the same coefficients of x, then the graphs of the two linear functions do not intersect at exactly one point.

Step-by-step explanation:

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Factor by grouping. a^2+2ab-24b^2
coldgirl [10]
You can rewrite that as:

a^2-4ab+6ab-24b^2  then factor 1st and 2nd pair of terms.

a(a-4b)+6b(a-4b) so you have

(a+6b)(a-4b)
3 0
3 years ago
Help plz someone help me plz ty
MrRa [10]

Answer: 18.75 for each girl

Step-by-step explanation:

First you take the unit rate 2.50 multiply by 5.

2.50 x 5 = 12.50

12.50 x 3 = 37.50

37.50 / 2 = 18.75

7 0
3 years ago
1: Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not hav
OLga [1]

Answer:

(1) y=C, C\neq0

(2) x=C

(1) y=0

Step-by-step explanation:

For the linear equation, the power on the solitary variable must be 1.

When the graph of a function crosses/ touches the x-axis than the equation has solution/solutions otherwise it does not has a solution.

When it touches/cresses the x-axis for infinite times then it will have an infinite number of solutions.

(1) The linear equation y-C=0, where y is a variable and C is a non-zero constant,  C \neq 0, has the graph parallel to the x-axis. It has no solution as the graph will never cross/touch the x-axis.

Algebraically, in linear equation y-C=0, is independent of x, so there is no value of x for the solution to be exist.

(2) The linear equation x-C=0, where x is a variable and C is a constant, has one solution.

The solution for the equation is

x-C=0

\Rightarrow x=C, where C\neq0.

(3) The linear equation y=0, where y is a variable, has the graph coinciding with the x-axis. So, it has infinitely many solutions.

Algebraically, in linear equation y=0, is independent of x, so for all value of x, the given equation is zero. Hence, there are infinitely many solutions.

3 0
4 years ago
In Smallille, 2,400 out of 20,000 workers are unemployed.In Bigtown, 6,750 out of 75,000 workers are unemployed. Which town has
viktelen [127]
2400/20000 = 0.12;
6750/75000 = 0.09;
Because 0.12 > 0.09, Smallille has a larger unemployed problems than Bigtown.
4 0
3 years ago
In a certain sequence of numbers, each term after the first is found by doubling and then adding $3$ to the previous term. If th
eimsori [14]
Given a_7=125 you can find a_6:

a_6= \frac{125-3}{2} =61
 a_5= \frac{61-3}{2} =29 \\ a_4= \frac{29-3}{2}=13 \\ a_3= \frac{13-3}{2} =5 \\ a_2= \frac{5-3}{2} =1 \\ a_1= \frac{1-3}{2}=-1
Answer: -1
6 0
3 years ago
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