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lozanna [386]
2 years ago
13

Which solution is the best estimate to the system of equations? {y=14x−2y=−2x+3 (2.2, −1.4) (0, 3) (0, −2) (1.5, 0) A system of

two linear equations. Two lines graphed on a Coordinate plane with x and y axis ranging from negative 5 to 5. One line passes through the points begin ordered pair 0 comma 3 end ordered pair and begin ordered pair 3 comma negative 3 end ordered pair. The other line passes through the points begin ordered pair 0 comma negative 2 end ordered pair and begin ordered pair 4 comma negative 1 end ordered pair.
Mathematics
1 answer:
sertanlavr [38]2 years ago
3 0

Answer:

The best estimate solution to the system of equations is (0, 3)

Step-by-step explanation:

we have

y=14x-2 ------> equation A

y=-2x+3 -----> equation B

Solve the system by elimination

Multiply the equation B by 7 both sides

(7)y=(7)(-2x+3)

7y=-14x+21 -------> equation C

Adds equation A and equation C

y=14x-2

7y=-14x+21

-----------------

y+7y=-2+21

8y=19

y=19/8

Find the value of x

y=14x-2

19/8=14x-2

19=112x-16

112x=19+16

112x=35

x=35/112

so

The solution is the point (35/112,19/8)

Convert to decimal number

(0.3125,2.375)

therefore

The best estimate solution to the system of equations is (0, 3)

You might be interested in
Find the perimeter of △CDE. Round your answer to the nearest hundredth. The perimeter is about units.
Troyanec [42]

Answer: 9.66\ units

Step-by-step explanation:

The triangle CDE is shown in the image attached.

The formula for calculate the distance between two points is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Then, we can calculate the lenght of each side of the triangle:

d_{CD}=\sqrt{(4-4)^2+(-5-(-1))^2}=4\ units\\\\d_{DE}=\sqrt{(4-2)^2+(-5-(-3))^2}=2.828\ units\\\\d_{CE}=\sqrt{(2-4)^2+(-3-(-1))^2}=2.828\ units

Therefore, the perimeter is:

P=4\ units+ 2.828\ units+2.828\ units=9.66\ units

8 0
1 year ago
According to a study in a medical journal, 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that m
tekilochka [14]

Answer:

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has diabetes.

Event B: Is very active.

Probability of having diabetes:

To find this probability, we take in consideration that:

It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-fifth of all middle-aged men are very active, and the rest are classified as sedentary.

So the probability of developing diabetes is:

x of 4/5 = x of 0.8(not active)

x/4 = 0.25x of 1/5 = 0.2(very active). So

P(A) = 0.8x + 0.25*0.2x = 0.85x

Probability of developing diabetes while being very active:

0.25x of 0.2. So

P(A \cap B) = 0.25x*0.2 = 0.05x

What is the probability that a middle-aged man with diabetes is very active?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05x}{0.85x} = \frac{0.05}{0.85} = 0.0588

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

4 0
1 year ago
311, 305,299,...Find the 32nd term.
adell [148]

Answer:

503

Step-by-step explanation:

4 0
1 year ago
The rock band, Screamin’ Meanies, has a fan club that publishes a monthly newsletter. Expenses are $.35 for printing and mailing
Angelina_Jolie [31]
" break even " is when ur expenses = revenue.....there is no profit made when u break even

expenses : 0.35x + 770
revenue (ur income) : 0.55x

so they have to equal to break even...so set them equal to each other and solve for x
0.35x + 770 = 0.55x
770 = 0.55x - 0.35x
770 = 0.2x
770 / 0.2 = x
3850 = x <== they must sell 3850 copies to break even
3 0
1 year ago
Read 2 more answers
Todd's friend Olivia is flying her stunt plane at an elevation of 6.3 km. From the ground, Todd's used to plane moving directly
Aloiza [94]
Can't understand the sentence where it says "<span>From the ground, Todd's used to plane moving directly toward him from the West at a 49 degree angle of elevation". Help me interpret it.</span>
5 0
2 years ago
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