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4 years ago

Determine the equation for the parabola graphed below

Mathematics

1 answer:

Elza [17]4 years ago

4 0

Answer:

$y=(x-2)^2-1$

Step-by-step explanation:

The given function:

Since the function is open upwards means is of $y=x^2$

And we can see one unit down and 2 units shifted on right in parent function.

Therefore, the function is of $y=(x-2)^2-1$

Graph takes parabola shape by quadratic function.

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Evaluate 7k+3.4j−(2k+3.9) when k=4.1 and j=1.7

Mandarinka [93]

Answer:

42.47?

Step-by-step explanation:

4 0

3 years ago

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An item is regularly priced at $21. It is on sale for 15% off the regular price of the item now

Lynna [10]

Answer:

$ 17.85

Step-by-step explanation:

Regular price = $ 21

Reduction = 15% of regular price

$= \frac{15}{100}*21\\\\= 0.15*21\\= 3.15$

= $ 3.15

Price of the item after reduction = 21 - 3.15 = $ 17.85

8 0

3 years ago

Determine the intercepts of the line. <br> -5x-4y=10

storchak [24]

Answer:

$x-intercept:(-2,0)\\\\y-intercept:(0,-\frac{5}{2})$

Step-by-step explanation:

The y-intercept is where x is 0 (0,y)

The x-intercept is where y is 0 (x,0)

Insert 0 as the value for x to find the corresponding y value:

$-5(0)-4y=10$

Simplify multiplication:

$0-4y=10\\\\-4y=10$

Isolate the variable. Divide both sides by 4:

$\frac{-4y}{4}=\frac{10}{4} \\\\-y=\frac{10}{4} \\\\-y=\frac{5}{2}$

Make the variable positive. Multiply both sides by -1:

$-1(-y)=-1(\frac{5}{2})\\\\y=-\frac{5}{2}$

The y-intercept is at $(0,-\frac{5}{2})$ .

Insert 0 as the value for y to determine the value of x:

$-5x-4(0)=10$

Simplify multiplication:

$-5x-0=10\\\\-5x=10$

Isolate x. Divide both sides by 5:

$\frac{-5x}{5} =\frac{10}{5} \\\\-x=2$

Multiply both sides by -1:

$-1(-x)=-1(2)\\\\x=-2$

The x-intercept is at $(-2,0)$ .

:Done

8 0

3 years ago

I need help asap pleaseee!!!!

Zolol [24]

Nicky's plan can be made into this equation y=25+0.15x
Mickey's plan can be made into this equation y=40+0.10x
to make y equal you have to solve out 25+0.15x=40+0.10x you can solve this further into .05x=15 and then into x=300.

8 0

4 years ago

Fraction calculator 66 1/2 - 43=

zhuklara [117]

Answer:

$\frac{47}{2}$

Step-by-step explanation:

66 $\frac{1}{2}$ - 43 = 47/2

6 0

3 years ago

Read 2 more answers