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irakobra [83]
3 years ago
14

The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the n

egative reciprocal of the slope of the first.
The system described above is represented by the following equations:Y=1/4X-2 , Y=4X-19

True or false?
Mathematics
1 answer:
Sliva [168]3 years ago
5 0
False;
We are given the equation:
y = 4x - 19
This is a line with a gradient (more accurate term for slope) of 4;
The negative reciprocal of 4 is -1/4;
The other line given has a gradient of only 1/4, not -1/4, therefore, the equations do not match up with the given information.

Tip: In the situation where a line has a gradient that is the negative reciprocal of the gradient of another line, the two line will be perpendicular (i.e. the subtended angle from the point of intersection of the two lines will be 90°).
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- Olivia skates twice as far as Stephanie. This sum of their distances is 96 miles per month. How many
kotegsom [21]

Answer:

B.64 miles

Step-by-step explanation:

Let Oliver's be x

Let Stephanie's be y

x = 2y -  -  - (a) \\ x + y = 96 -  -  - (b)

substitute for x in (b):

2y + y = 96 \\ 3y = 96 \\ y = 32

find x in (a):

x = (2 \times 32) \\ x = 64

5 0
3 years ago
Read 2 more answers
4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a
bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given  a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

p_{1} = \frac{368}{634} =0.580

It found that 368 of the Indians and 130 Asians listened to rap music every day.

p_{2} = \frac{130}{567} =0.229

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

p_{1} = p_{2}

Alternative hypothesis:- p_{1} \neq  p_{2}

Level of significance α = 0.05

The test of statistic

z = \frac{p_{1} -  p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} })  } } }

where p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}

       p = 0.414

and q = 1-p = 1- 0.414 =0.586

Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0
3 years ago
Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets.
jarptica [38.1K]

The exact cost is $23.75 for the show, and the exact change they should get is $1.25.

An adult ticket to the show costs $5.50

A student ticket to the show costs $4.25.

A family buys two adult tickets and three student tickets. This would imply that the total cost of two adult tickets would be

⇒ 2 × 5.5 = $11

It also implies that the total cost of three student tickets is

3 × 4.25 = $12.75

The total cost of two adult tickets and three student tickets is

⇒ 11 + 12.75 = $23.75

If the family pays $25, the exact change they should get is

⇒ 25 - 23.75 = $1.25

Thus, the exact cost is $23.75 for the show, and the exact change they should get is $1.25.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ1

5 0
2 years ago
QUESTION 2 of 10: True or False: Eating one large meal per day is the best way to maintain your health.
Artist 52 [7]

Answer:

True

Step-by-step explanation:

5 0
3 years ago
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Write out the mathematical equation for density.
Sauron [17]

Hello there. Thank you for your question here on brainly.

The answer is: the mathematical equation for density is g/cm³.

I hope this helped you, and have an awesome day. :)

8 0
4 years ago
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