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Greeley [361]
3 years ago
11

Compared to its 'parent' function f(x)=x^2, describe the changes if f(x)=-x^2-3

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
5 0

Answer:

It is inverted and shifted down 3 units.

Red is f(x) = x^2

Purple is f(x) = -x^2 -3

Step-by-step explanation:

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In the expretion7to the third power-4*3+8 the firstt operation is
xxMikexx [17]

Answer:

7³

Step-by-step explanation:

Using PEMDAS, we see that E (which stands for exponents) comes before M (which stands for multiplication) and A (which stands for addition) so the first operation you should do is 7³.

8 0
3 years ago
Convert to %<br><br> 1) 1/2<br><br> 2) 1/4<br><br> 3) 1/3<br><br> 4) 3/10<br><br> 5) 6.5/10
inna [77]

Answer:

1) 50%

2) 25%

3) 33.33 %

4) 30%

5) 65%

6 0
2 years ago
Write an equation of the perpendicular bisector of the segment with end points M(1,5) and N(7,-1)
vitfil [10]
The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1


p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1

We can calculate the equation of p by using its slope and its point P:

y-y_P=m_p(x-x_P)\\\\&#10;y-2=1\cdot(x-4)\\\\&#10;y-2=x-4\\\\&#10;\boxed{p:~~y=x-2}
4 0
2 years ago
Given the piecewise function shown below select all of the statements that are true please help
KengaRu [80]

Answer:

B and D

Step-by-step explanation:

Take a look at all the options x=4, 3, 1, 2 > 0

So, we just care about the domain where x>0, which is f(x)=x^{2}.

Then plug in x we will have the right answer.

5 0
3 years ago
What is the justification for step 2 in the solution process?12 - x = 7x +32Step 1: -X = 7x + 20Step 2: -8x = 20
HACTEHA [7]
Answer:

The subtraction property of equality

Option A is correct

Explanation:

The given equation is:

12 - x = 7x + 32

Subtract 12 from both sides

12 - 12 - x = 7x + 32 - 12

-x = 7x + 20 (Step 1)

From step 1 above, subtract 7x from both sides

-x - 7x = 7x - 7x + 20

-8x = 20 (Step 2)

Since we subtracted 7x from both sides to get step 2, the justification for step 2 is the subtraction property of equality

6 0
1 year ago
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