Consider the following function.f(x) = √x - 2
Which of the following graphs corresponds to the given function?
Answers
Answer:
Graph Z
Step-by-step explanation:
The radical parent function is
The given function is
.... (1)
The translation is defined as
.... (2)
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
From (1) and (2) we get
The value of a is negative so the graph of parent function shifts 2 units right.
Therefore, the graph Z represents the given function.
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Hugo is mixing blue paint with red paint to create purple paint. The ratio of blue to red is 3 to 2. How many pints of blue paint will he use to create 40 pints of purple paint?
Answers
The required answer is 25 kg in the ratio 2 : 3 : 5 = 5 : 7.5 : 12.5.
What is Ratio?
The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have to divide 25 kg into the ratio 2 : 3 : 5
The ratio is given in the question
⇒ 2:3:5
We can see that the sum of the parts of the given ratio as
⇒ 2 + 3 + 5 = 10 parts
Divide 25 by 10 to determine the value of one part of the ratio
So the value of 1st part of the ratio
⇒ 25 ÷ 10 = 2.5
Now, 2nd parts = 2 × 2.5 = 5
And, 3rd parts = 3 × 2.5= 7.5
And, 4th parts = 5 × 2.5= 12.5
So, 25 in the ratio 2 : 3 : 5 = 5 : 7.5 : 12.5
Therefore, the required answer is 25 kg in the ratio 2 : 3 : 5 = 5 : 7.5 : 12.5.
To learn more about the Ratio click here:
#SPJ2
25 ÷ 10 = 2.5
2.5 × 2 = 5
2.5 × 3 = 7.5
2.5 × 5 = 12.5
5 : 7.5 : 12.5
Answers
I don't know any slick way to do this. I would just list the prime numbers
between 40 and 50 and test them one at a time.
The prime numbers between 40 and 50 are: 41, 43, 47
Test 41:
-- add 1 . . . 42
-- prime factors of 42 . . . 2, 3, 7
-- sum of the factors . . . 12
Test 43:
-- add 1 . . . 44
-- prime factors of 44 . . . 2, 11
-- sum of the factors . . . 13
Test 47:
-- add 1 . . . 48
-- prime factors of 48 . . . 2, 3,
-- sum of the factors . . . 5
Maybe I'm not understanding how to list prime factors, but so far,
I haven't found any number that answers the question.
Maybe if I write the prime factorization of 44 like this:
44 = 2 * 2 * 11
Now the items in the prime factorization do add up to 15.
So the answer would seem to be 43.
Answers
Answers
t N.
In the figure shown below
Answer:
A horizontal line segment M K intersects with line segment J L at their midpoint N.
∠J N M =(5x+2)°
∠ LN M=3( x+ 14)°
So, ∠J N M + ∠ LN M =180°[ These two angles form linear pair.Angles forming linear pair are supplementary.]
⇒5 x+ 2+ 3 (x+ 14) =180 [ By Substitution]
⇒ 5 x+2 +3 x+42°= 180°
⇒ 8 x=180°-44°
⇒8 x= 136°
⇒x= 136°÷8
⇒x=17°
So, ∠J N M =5×17 +2=87°
∠ LN M= 3×(17 +14)=3×31=93
∠J N M =∠K N L [Vertically opposite angles]
∠K N L=87°
Answer:
The measure of
Step-by-step explanation:
According to the below diagram, horizontal line segment intersects with
at their midpoint
.
So, (As they are vertical angles)
Given that, and
As they are adjacent angles and points and
are co-linear, so
That means.......
Thus,
Answers
Our equation of the line will be in the form of y = mx + b, where m is the slope and b is the y-intercept.
We have found the slope. All we need to find is the y-intercept. Luckily, they gave us the y-intercept!
The y-intercept can be found when x = 0. And one point they gave us is (0,1). That means the y-intercept is 1.
The equation of the line is
(1-2)/(0-4)= 1/4. that is our slope. next we need to find the y-intercept, that is when x=0. for this problem we are actually given it with the second point (0,1) that means our y-intercept is 1. now we have the everything we need for the equation y=mx+b. we know that m=1/4 and b=1, so we can plug that in and get y=1/4x+1
Answers
A parallelogram with a base four times the height and an area less than 200 square feet
B = 4H
Area < 200 square feet.
200 > B*H
200 > 4H * H
200 > 4H^2
50 > H^2
H ~ 5 square root of 2
Answer:196 square ft
Step-by-step explanation:.......................