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2 years ago

Let f(x)=3x2-2 wrote a function g whose graph is a reflection in the y axis of the graph of f

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

6 0

9514 1404 393

Answer:

g(x) = 3x^2 -2

Step-by-step explanation:

Reflection in the y-axis replaces x with -x.

g(x) = f(-x) = 3(-x)^2 -2

g(x) = 3x^2 -2

_____

The given function is symmetrical about the y-axis, so its reflection is itself.

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There is 0.3 kg of tin in a sword.

Sauron [17]

Answer:

2 kg

Step-by-step explanation:

15/100 x = 0.3

x = 0.3 * 100/15

x = 2

7 0

2 years ago

1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)

Sveta_85 [38]

Answer:

1. $-5x+3y+44=0$

2. $2x+y-2=0$

3. $2x+y-4=0$

Step-by-step explanation:

Standard form of a line is $Ax+By+C=0$ .

If a line passing through two points then the equation of line is

$y-y_1=m(x-x_1)$

where, m is slope, i.e., $m=\dfrac{y_2-y_1}{x_2-x_1}$ .

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

$y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)$

$y+3=\dfrac{-5}{-3}(x-7)$

$y+3=\dfrac{5}{3}(x-7)$

$3(y+3)=5(x-7)$

$3y+9=5x-35$

$-5x+3y+9+35=0$

$-5x+3y+44=0$

Therefore, the required equation is $-5x+3y+44=0$ .

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to $2 x + y =-5$ .

Slope of the line : $m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2$

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

$y-2=-2(x-0)$

$y-2=-2x$

$2x+y-2=0$

Therefore, the required equation is $2x+y-2=0$ .

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to $2x + y =-5$ .

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

$y-0=-2(x-2)$

$y=-2x+4$

$2x+y-4=0$

Therefore, the required equation is $2x+y-4=0$ .

5 0

2 years ago

Write an algebraic expression to model the unknown number problem.

Morgarella [4.7K]

Answer:

A. You can replace ‘a number’ with a variable to represent an unknown value.

C. Product means the result of multiplying two numbers.

D. The coefficient is 15.

E. In algebraic notation, you can represent the product of a number and a variable by writing the number and variable next to each other.

Step-by-step explanation:

EDGE 2020

5 0

3 years ago

Read 2 more answers

Name the solid and find its volume. Use 3.14 as the approximate value of pi.

sineoko [7]

It is given in the question that the solid is a cone with height of 16 units and radius of 7 units .

The formula of volume of cone is

$V = \frac{1}{3} \pi r^2 h$

To find the volume, we substitute the given values of r and h and use 3.14 for pi. That is

$V = \frac{1}{3} *3.14*7^2 *16 = 820.6 \ units \ cube$

And that's the required volume of the cone .

7 0

2 years ago

suppose an amount increases by 100% then decreases by 100%. find the final amount. Would the situation change if the original in

denpristay [2]

The first amount would be the original amount as the answer because you are adding and then subtracting the same number. If the increase was 150% then the answer would be 50% more because 150%-100%=50%.

4 0

2 years ago