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3 years ago

Question 7 of 22

Mathematics

1 answer:

Daniel [21]3 years ago

6 0

Answer:

Step-by-step explanation:

x + 11 = 24

x = 13

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John says the transformation rule (x, y) = (x + 4, y + 7)

Shtirlitz [24]

Answer:

he added wrong

Step-by-step explanation:

(x,y)=(x+4,y+7)

(4,5)

(4+4, 5+7)

(8, 12)

8 0

3 years ago

Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)

timofeeve [1]

Answer: $x-2y-2=0$

Step-by-step explanation:

Given :

$f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8$

Point of intersection :

$f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}$

$x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75$

So, we have points $\left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )$

Equation of line passing through two points $\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )$

Let $\left ( x_1,y_1 \right )=\left ( 2,0 \right )\,,\,\left ( x_2,y_2 \right )=\left ( -1.5,-1.75\ \right )$

So, equation is as follows :

$y-0=\frac{-1.75-0}{-1.5-2}\left ( x-2 \right )\\y=\frac{-1.75}{-3.5}\left ( x-2 \right )\\y=\frac{1}{2}(x-2)\\2y=x-2\\x-2y-2=0$

4 0

3 years ago

Becky, an artist, plans to paint and sell some miniature paintings. She just bought some brushes for $1, and paint and canvas fo

Veronika [31]

Answer:

After one unit is sold, Becky will break-even.

Step-by-step explanation:

Giving the following information:

Fixed costs= $1

Unitary variable cost= $21

Selling price= $22

<u>The break-even point is the number of units required to cover the fixed costs after deducting from the selling price the variable components. At this point, net income is zero</u>.

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 1 / (22 - 21)

Break-even point in units= 1

After one unit is sold, Becky will break-even.

8 0

3 years ago

Simple math equation but in not very bright in the head, help would be appreciated :)

algol [13]

Answer:

AA similarity

Step-by-step explanation:

Using angle sum theorem, you can clearly find out the missing angles on the left and right triangles are 40° and 50° respectively.

Therefore, by using any two angles in the triangles, you can prove they are similar by AA similarity.

4 0

2 years ago

Tami spins a spinner with seven sections. The sections are

tia_tia [17]

Answer:

Step-by-step explanation:

if all sides are equal and there are 7 sides than each side has and equal opportunity to be landed on.

5 0

3 years ago

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