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2 years ago

7

Which of the following does not represent the function f(x)=2x+3

1 answer:

Agata [3.3K]2 years ago

5 0

C is incorrect.
While the slope is 2, (calculated by rise over run), the y intercept is incorrect. The equation 2x+3 is written in slope intercept form (mx+b where b is y intercept). Therefore we can tell that 3 should be the y intercept. The y intercept on the graoh, however, is -3.

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Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter

Rudik [331]

Answer:

$y=-6x+10$

Step-by-step explanation:

The point of intersection of

$x+2y=9...eqn1$

and

$4x-2y=-4...eqn2$

is the solution of the two equations.

We add equation (1) and equation(2) to get,

$x+4x+2y-2y=9+-4$

$\Rightarrow 5x=5$

$\Rightarrow x=1$

We put $x=1$ into equation (1) to get,

$1+2y=9$

$\Rightarrow 2y=9-1$

$\Rightarrow 2y=8$

$\Rightarrow y=4$

Therefore the line passes through the point, $(1,4)$ .

The line also passes through the point of intersection of

$3x-4y=14...eqn(3)$

and

$3x+7y=-8...eqn(4)$

We subtract equation (3) from equation (4) to obtain,

$3x-3x+7y--4y=-8-14$

$\Rightarrow 11y=-22$

$\Rightarrow y=-2$

We substitute this value into equation (4) to get,

$3x+7(-2)=-8$

$3x-14=-8$

$3x=-8+14$

$3x=6$

$x=2$

The line also passes through

$(2,-2)$

The slope of the line is

$slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6$

The equation of the line is

$y+2=-6(x-2)$

$y+2=-6x+12$

$y=-6x+10$ is the required equation

4 0

3 years ago

In a group of 25 students, 16 are female. What percentage of the group is female?

asambeis [7]

Percent is out of 100, and 25*4=100. So multiply 16*4=64, so the answer is 64%

3 0

3 years ago

Read 2 more answers

On a number line, point F is at 4, and point G is at -2. Point H lies between point F and point G. If the ratio of FH to HG is 3

Mademuasel [1]

Here, we are required to determine the point where point H lie on the number line.

The point H is at point 2.5 on the number line.

The distance between point F and G on the number line is:

4 - (-2) = 6 numbers on the number line.

And since the ratio of FH to HG is 3:9

Then, let point H be at no. X on the number line.

Therefore; FH/HG = (4 - x)/(x - (-2))

i.e 3/9 = (4 - x)/ (x +2).

By cross multiplication, 3x + 6 = 36 - 9x.

Therefore, 12x = 30

and, x = 2.5

Therefore, the point H is at point 2.5 on the number line.

Read more:

brainly.com/question/18329661

7 0

2 years ago

Simplify the product. Write your answer in standard notation 2y(5y^2 + 3)

GarryVolchara [31]

Answer:

10y^3+6y

Step-by-step explanation:

3 0

2 years ago

Is 23/40 a rational or irrational number? I'm not sure how to solve this one.

vfiekz [6]

Answer:

23/40 is a rational number

Step-by-step explanation:

an irrational number cannot be written as a fraction - with a finite end. An irrational number would be a repeating decimal

5 0

2 years ago