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2 years ago

At what point does y = 2x + 3 intercept: a) The y-axis: b) The x-axis:

Mathematics

2 answers:

Lelu [443]2 years ago

4 0

Answer:

Step-by-step explanation:

a) Interception at y-axis :

- Take x-value as 0

=> y = 2(0) + 3

=> y = 3

=> y-intercept is (0, 3)

b) Interception at x-axis :

- Take y-value as 0

=> 0 = 2x + 3

=> 2x = -3

=> x = -3/2

=> x-intercept is (-3/2, 0)

melisa1 [442]2 years ago

3 0

Answer:

a)(0, 3)

b)(-3/2, 0)

Step-by-step explanation:

a) y-axis : x=0

so instead of x you write 0 : y = 2 * 0 + 3

and you get y = 3

b) x-axis : y=0

so instead of y you write 0 : 0 = 2 * x + 3

2 * x = -3

x = -3/2

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Question 17/23

disa [49]

Answer:

60%

Step-by-step explanation:

Formula:

Percentage decrease = (amount of decrease)/(original price)

✪ Solve ✪

3.85 - 1.54/3.85 x 100

2.31/3.85 x 100 = 60%

Hence, Percent decrease is 60%

~Lenvy

6 0

2 years ago

A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Step 1:we should turn the “facts” into logical expressions.

Step 2:Assign variables

Our variables are: b (for butler), c (for cook), g (for gardener), h (for handyman)

Step 3 . Let the value of true indicate that the person is telling the truth. For example, b = T means the butler is telling the truth. Then we can translate the statements as follows:

Check attachment

Step 4

We know all of these must hold. So we really want to know when (b→c)∧¬(c∧g)∧¬(¬g∧¬h)∧(h → ¬c) is true.

Step 5

Behold, another truth table task! If you work out the truth table, you see that this statement is only true when:

Check attachment

Step 6

Therefore we can say the butler and cook are definitely lying, but we can not determine if the gardener or handyman are lying. However, there are four variables in this problem. Instead, we can do this with some straight reasoning. Notice that:

If the butler is telling the truth, then by (a) the cook is telling the truth.

If the cook is telling the truth, then by (b) the gardener is lying.

If the gardener is lying, then by (c) the handyman is telling the truth.

If the handyman is telling the truth, they by (d) the cook is lying.

This leads to a contradiction (the cook can not be both telling the truth and lying)! Therefore the butler and cook must be lying. What about the gardener and the handyman? We don’t have enough information to figure out if they are lying. Since the cook is lying, we can’t use (b) to come to any conclusions about the gardener. Even if we are able to conclude that the gardener is telling the truth, we can’t use (c) to come to any conclusions about the handyman.

4 0

3 years ago

Expand each expression. Then simplify the expression. 7(5 + 4w) + 6(8w - 3)

Ilia_Sergeevich [38]

Answer:

76w + 17

Step-by-step explanation:

7 ( 5 + 4w ) + 6 ( 8w - 3 )

= 7 ( 5 ) + 7 ( 4w ) + 6 ( 8w ) - 6 ( 3 )

= 35 + 28w + 48w - 18

= 28w + 48w + 35 - 18

= 76w + 17

3 0

2 years ago

Sort all the numbers into the correct boxes.

aev [14]

Answer:

multiple of 4 : 8, 12

not a multiple of 4 : 2 , 18

prime : 3, 11

not prime : 9, 15

Step-by-step explanation:

First you need to know even number.

even number is (2,8,12,18 )

next odd number (3,9,11,15)

after that find number that is multiple of 4.

multiple of 4 is 4, 8,12,16,20,24,28 and so on

so its the number of multiple of 4 is ( 8 and 12)

and the number that is not a multiple of 4 is (2,18)

next odd number, odd number is ( 3,9,11,15)

next you should know prime number,

prime number is 3, 5,7,11,13,17,19 .....

so the answer for prime number for odd number is

( 3 and 11)

next is not prime number (9 and 15)

3 0

3 years ago

Zachary purchased a computer for 1800 on a payment plan. three months after he purchased the computer, his balance was 1350. fiv

nadezda [96]

(750m) - 1050 = b

1800 - 1050 = 750 dollars lost.

So (750m) - 1050 = b will give you the balance.

6 0

3 years ago

At what point does y = 2x + 3 intercept: a) The y-axis: b) The x-axis:​

At what point does y = 2x + 3 intercept: a) The y-axis: b) The x-axis: