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cricket20 [7]
2 years ago
13

Given the parent function of y=IxI, state the type of transformation that occured to get the function below.

Mathematics
1 answer:
aksik [14]2 years ago
7 0
B. Shift down

y=|x| --------> Red
y=|x|-3 -----> Green


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Factor the quadratic expression completely 15x^-4x-4
In-s [12.5K]

Answer:

(5x+2)(3x-2)

Step-by-step explanation:

4 0
2 years ago
Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o
photoshop1234 [79]
A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read  "if p then q" 



Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that 

|AB|^2=|BC|^2+|AC|^2.


An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2


This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True, 


the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2
then Triangle ABC is a right triangle with m(C)=90°

True


Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2

True


Contrapositive statement:

if The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2  then Triangle ABC is not a right triangle with m(C)=90°


True









4 0
3 years ago
Given the formula A = 5h (B + b); solve for B.<br> 2
stellarik [79]

Answer:

B = A/5h - b; You could use

B = (A - 5hb)/5h  This just puts everything over a common denominator.

Step-by-step explanation:

A = 5h (B + b)          Divide both sides by 5h

A/5h = B + b             Subtract b from both sides.

A/5h - b = B

6 0
3 years ago
A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of
Lana71 [14]

Answer:

f(x) = -4x + 80

Step-by-step explanation:

You are given two points,

(5, 60) and (10, 40)

in order to get the equation, let's use the form slope-intercept form

m = (y1 - y2) / (x1 - x2)

m = (60 - 40) / (5 - 10)

m = 20/-5

m = -4

Get the x intercept

y = mx + b

60 = (-4)(5) + b

b = 60+20

b = 80

so the equation is

y = -4x + 80

f(x) = -4x + 80

5 0
2 years ago
The ratio of the number of boys to girls is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?
sergiy2304 [10]

Answer:

48

Step-by-step explanation:

5      60

--  =  ----

4      x

5x= 240

---    ------

5       5

x=48

7 0
3 years ago
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