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3 years ago

What is an equation of the line through (3, -1) and (2, 14)?

Mathematics

1 answer:

Elden [556K]3 years ago

3 0

Step-by-step explanation:

no explanations.I have done the whole sum

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A teacher gave a test to a class in which 10% of the students are juniors and 90% are seniors. The average score on the test was

IceJOKER [234]

Each junior receives 93 score on the test. It is also the average score of the juniors.

Given Information

It is given that 10% of the strength of the class consists of juniors and 90% consists of seniors.

Let us assume the total strength of the class is 100, then,

Number of seniors = 90

Number of juniors = 10

It is also given that the average score of the class = 84

And, average score of the seniors = 83

Another given information is that all the juniors all received the same score, which is their average score. Let it be x.

Average Score of Juniors

Total marks obtained by the seniors = Number of seniors × Average score of seniors

= 90 × 83

= 7470

Total marks obtained by the juniors = Number of juniors × Average score of juniors

= 10x

Average marks on the test = Total marks / Total number of students

⇒ 84 = (7470 + 10x)/100

⇒ 84 × 100 = 7470 + 10x

⇒ 10x + 7470 = 8400

⇒ 10x = 8400-7470

⇒ 10x = 930

⇒ x = 930/10

⇒ x = 93

Thus, each junior scores 93 on the test.

Learn more about average here:

brainly.com/question/24057012

#SPJ4

5 0

2 years ago

Which equation represents a line that intersects the line 2y − 4x = 3? A.-2y + 4x = 1 B. 3y − 6x = 6.5 C. y − 2x = 3 D. -2y − 4x

irga5000 [103]

Convert all the equations to slope-intercept form:
$2y-4x=3 \ \ \ |+4x \\
2y=4x+3 \ \ \ |\div 2 \\
y=2x+\frac{3}{2}$

$A. \\
-2y+4x=1 \ \ \ |-4x \\
-2y=-4x+1 \ \ \ |\div (-2) \\
y=2x-\frac{1}{2} \\ \\
B. \\
3y-6x=6.5 \ \ \ |+6x \\
3y=6x+6.5 \ \ \ |\div 3 \\
y=2x+\frac{13}{6}$

$C. \\
y-2x=3 \ \ \ |+2x \\
y=2x+3 \\ \\
D. \\ 
-2y-4x=3 \ \ \ |+4x \\
-2y=4x+3 \ \ \ |\div (-2) \\
y=-2x-\frac{3}{2}$

Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.

3 0

4 years ago

Could someone please help me pleasee

Alinara [238K]

Answer:

Color where I put the dots (picture attached).

Step-by-step explanation:

Hope this helps/is correct.

Please don't be mad if it's wrong, this is simply what I understood from the instructions. :)

PS. You don't have to copy the line, that's just for you to get an idea.

8 0

3 years ago

What's m + 6/3 equals -8

Tom [10]

Answer:

see below

Step-by-step explanation:

m+6/3 = -8

Simplify the fraction

m+2 = -8

Subtract 2

m+2-2 = -8-2

m = -10

(m+6)/3 = -8

Multiply each side by 3

m+6 = -8*3

m+6 = -24

Subtract 6

m+6-6 = -24-6

m = -30

8 0

3 years ago

Find the inverse f(x)=3x-2

Andreas93 [3]

Answer:

Step-by-step explanation:

hello friend

the answer is $\frac{x}{3}$ + $\frac{2}{3}$

To find the inverse, interchange the variables and solve for y

$f^{-1}$ (x) = $\frac{x}{3}$ + $\frac{2}{3}$

Hope this helps

plz mark as brainliest!!!!!!

8 0

3 years ago

What is an equation of the line through (3, -1) and (2, 14)?​

What is an equation of the line through (3, -1) and (2, 14)?