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3 years ago

Algebra 1 : ordered pairs kinda dont get it

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

Answer:

Option C; 3x - y = -27 and x + 2y = 16

Step-by-step explanation:

1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.

2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.

3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ Answer: Option C

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What is the sum of all of the four-digit positive integers that can be written with the digits 1, 2, 3 and 4 if each digit must

wel

Answer with explanation:

Number of four digit numbers using four distinct digit

=Unit placed can be filled in four ways * Tens place can be filled in Three ways * Hundreds place can be filled in 2 ways * Thousand Place can be filled in a single way

=4*3*2*1

=24 distinct numbers

Sum of all four , four digits numbers using 1,2,3,4

= (If we keep 4 at unit place +Keeping 3 at unit place +Keeping 2 at unit place+Keeping 1 at unit place)×6+At tens place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At hundred's place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At thousand's Place(2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)

=(24+18+12+6)Unit place+(60)Ten's place +(60)Hundred's place+(60)Thousand's Place

=66660

7 0

3 years ago

Can someone help with this question? Thank u! :)

MatroZZZ [7]

Answer:

2.50

Step-by-step explanation:

the pattern shown in the miles driven goes up each time by 5000, stating it's going up by a constant of 5000. the cost goes up each time by 2000.

divide 5000/2000 which would give you 2.5

round it by two decimal places which gives you 2.50

7 0

3 years ago

(03.01 LC)

vampirchik [111]

Answer:

√7 units, √98 units

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2. So 9+b^2=16. So b^2=7. So b=√7

a^2+b^2=c^2. SO 49+49=c^2. So 98=c^2. So c=√98.

4 0

3 years ago

Read 2 more answers

Interger for 6(-7) + (-8).

timama [110]

6 multiplied by negative 7 would be negative 42. Negative 42 added by negative 8 would be negative 34.

5 0

3 years ago

Determine the vertex- f( x)= x^2 +4x +3 (2,-1) (-2, -1) (-3, -1) (-1, -2)

Grace [21]

The answer is ( -2 , -1 ) .

Hope it's helped ♥️♥️♥️♥️♥️.

8 0

3 years ago