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3 years ago

Which of these ordered pairs is the best estimate of the solution of the system y = 3x + 2 and y = -1/4 x + 1?

1 answer:

6 0

If the solution exists, y=y....

3x+2=-x/4+1 make everything have a common denominator of 4...

(12x+8)/4=(-x+4)/4 now multiply both sides by 4

12x+8=4-x add x to both sides

13x+8=4 subtract 8 from both sides

13x=-4 divide both sides by 13

x=-4/13

x≈-0.31 and the only pair in your choices having an x value close to that is:

(-0.3, 1.1)

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Answer:

Each person received $1,250

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3 years ago

Someone help me please (geometry)

Maru [420]

The answer is D. Translation

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3 years ago

Can someone please let me know if these are the correct answers

Lostsunrise [7]

1. x >= 4, because 4 is dotted, and that means that 4 is included

2. x =/ 4, the third answer is correct, because all numbers except 4 are included

3. the first number line is the correct answer, because -3 is not included

4. the second number line is the correct answer, because -1 is included

5. the second number line is the correct answer, because 6 is not included

6. the first number line is the correct answer, because 0 is included

7. the second number line is the correct answer, because all numbers except -4 are included

8. the third number line is the correct answer, because -1,5 is included

When a number is included in an interval, it should have full dot on the number line, so that's how you know.

Hope this helps!

8 0

3 years ago

A biology test is worth 100 points and has 36 questions.

Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

$M + E= 36$ --- Number of questions

$2M + 6E = 100$ --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in $M + E= 36$

$E = 36 - M$

Substitute 36 - M for E in $2M + 6E = 100$

$2M + 6(36 - M) = 100$

$2M + 216 - 6M = 100$

Collect Like Terms

$2M - 6M = 100 - 216$

$-4M = - 116$

Divide both sides by -4

$M = \frac{-116}{-4}$

$M = 29$

Substitute 29 for M in $E = 36 - M$

$E = 36 - 29$

$E = 7$

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

$2M + 6E = 100$ would be:

$4M + xE = 100$

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

$4 * 29 + x * 7 = 100$

$116 + 7x = 100$

Subtract 116 from both sides

$116-116 + 7x = 100 -116$

$7x = 100-116$

$7x = -16$

Make x the subject

$x = -\frac{16}{7}$

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0

2 years ago

The probability of an event is 0.001. Which of the following best describes the event?

RideAnS [48]

The answer you are looking for is B, there is a small chance of the event occurring. <span />

5 0

3 years ago

Read 2 more answers