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2 years ago

This task gives you the opportunity to:

Mathematics

1 answer:

hram777 [196]2 years ago

6 0

The graph of y = x² is transformed to the graph of y = x² - 3x - 10 with these following translations:

Shift right of 1.5 units.

Shift up of 7.75 units.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent function is:

y = x².

Completing the squares, the translated function can be written as:

x² - 3x - 10 = (x - 1.5)² + 10 - 1.5² = (x - 1.5)² + 7.75.

Hence, the translations are:

Shift right of 1.5 units, due to x -> x - 1.5.

Shift up of 7.75 units, as y -> y + 7.75.

More can be learned about translations at brainly.com/question/28473136

#SPJ1

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-2(3x+5y)=10 in slope intercept form

lesantik [10]

Answer:

The equation in the slope-intercept form is:

y = -3/5x - 1

Step-by-step explanation:

Given the equation

$-2(3x+5y)=10$

We know that the slope-intercept form of a line equation is

$y = mx+b$

where

m is the slope

b is the y-intercept

Writing the equation in slope-intercept form

-2(3x+5y)=10

-6x -10y = 10

Add 6x to both sides

-6x -10y + 6x = 10 + 6x

-10y = 10 + 6x

Divide both sides by -10

-10y / -10 = (10 + 6x) / -10

y = -3/5x - 1

Thus, the equation in the slope-intercept form is:

y = -3/5x - 1

4 0

2 years ago

Make V the subject of the formula E=mv2/2

Dima020 [189]

Answer:

v = ± $\sqrt{\frac{2E}{m} }$

Step-by-step explanation:

Given

E = $\frac{mv^2}{2}$ ( multiply both sides by 2 to clear the fraction )

2E = mv² ( divide both sides by m )

$\frac{2E}{m}$ = v² ( take the square root of both sides )

v = ± $\sqrt{\frac{2E}{m} }$

5 0

3 years ago

How do I simplify these expressions? 5(x+8)+3 3.6x-7-5.1x 4+8x+2.2-10x

Aleks04 [339]

Answer:

1. 5x +43

2. -1.5x - 7

3. 6.2 - 2x

Step-by-step explanation:

Equation 1:

5 (x+8) +3

First, we can distribute the 5 to the (x+8) and get 5x + 40. Distributing is when we multiply the 5 by the first number (x) and then by the second number (8) Because they aren't like terms (don't both have x's) we cannot combine then and must keep them separated by a subtraction sign

Now we have: 5x + 40 + 3

Next, we can combine the like terms. This means that any that have the same variable can be combined. So, the 5x has no other x's so he has to stay how he is. The 40 and the 3, however, can be added together to get 43.

Our finished equation is: 5x + 43

Equation 2:

3.6x - 7 - 5.1x

First, we can combine like terms as we learned in the last problem. This would be our x's since we have multiple.

We can add 3.6x and -5.1x and get -1.5x

Now we have: -1.5x - 7

Equation 3:

4 + 8x + 2.2 - 10x

We can start with either the numbers with x's or without but I'll just do the x's. So we have 8x and -10x. Adding these together would get us -2x.

Next, we can combine 4 and 2.2 and get 6.2.

Now, putting these back into our equation would look like this:

6.2 - 2x

I'm not sure how much my explanations helped, but I hope you understand!!

8 0

3 years ago

What is 2/5 divided by 3/4 can someone explain me asap

artcher [175]

Answer:

8/15

Step-by-step explanation:

KCF (Keep, Change, Flip)

keep 2/5, change ÷ to ×, flip 3/4 to 4/3

2/5 × 4/3

2×4=8

5×3=15

8/15

Hope it helps :)

3 0

2 years ago

Read 2 more answers

If the interest paid was $1428 on a principal of $5100 and an interest rate of 4%, how many years was the loan for?

Vaselesa [24]

Answer:

7 years

Step-by-step explanation:

Use the formula I=Prt

Convert 4% to a decimal. 4% = 0.04

1428 = 5100(.04)t

1428 = 204t

1428/204 = 204t/204

t = 7 years

3 0

2 years ago