Answer:
Step-by-step explanation:
Given
Required
Initial expression of f(x) is
From the question; we understand that f(x) was shifted down by 3 units;
This implies that
Also from the question; we understand that this new f(x) is equivalent to g(x);
In other words;
Substitute and
This gives
<em />
Subtract 0.5x to both sides
Rearrange
Multiply both sides by -1
Answer:
<em>Well, Here's your answer 1+10=11, 2+20=22, 3+30=33, 4+40=44, and 5+50=55. Hope That Helps!</em>
<em>From Itsbrazts.</em>
This is the concept of algebra: The answers to the questions will be as follows:
1. What is AD/AM in the simplest form:
AD/AB is the ratio of AD to AB. This will calculated as follows:
AD=9 units
AB=3 units
thus:
9/3=3
Hence, we conclude that the answer is D. 3
2] What is slope of BE/ slope of AE in simplest form:
slope=(Δy-axis)/(Δx-axis)
slope of AE
=(5-0)/(4-0)
=5/4
slope BE
slope=(5-0)/(4-3)=5/1=5
therefore the ratio of the two slope will be:
BE/AE
=5/(5/4)
=4
The answer is A.4
3. What is the value of x in the proportion (x-1)/5=(4x+2)/35?
To get the value of x we solve the above proportion:
(x-1)/5=(4x+2)/35
35(x-1)=5(4x+2)
35x-35=20x+10
putting like terms together we get:
35x-20x=10+35
15x=45
dividing both sides by 15
x=45/15
x=3
Hence the answer is B.3
4. What is the value of x in the proportion:
(x+1)/(x+3)=15/21
to get the value of x we solve the above:
first we begin by cross multiplying the proportion, this will give us:
21(x+1)=15(x+3)
21x+21=15x+45
putting like terms together we get:
21x-15x=45-21
6x=24
dividing both sides by 6 we get
x=4
∴ x=4
5. The lengths of the sides of a triangle are in extended ratio 3:10:12. The perimeter is 400 cm. What is the length of the longest side in cm.
solution:
Here we introduce the variable x such that the perimeter is:
3x+10x+12x=400
25x=400
x=400/25
x=16
The longest side will be:
12×16=192 cm
N = first integer
n + 1 = second integer
n + 2 = third
n + 3 = fourth
the sum is 114 so:
n + (n + 1) + (n + 2) + (n + 3) = 114
solve:
4n + 6 = 114
4n = 108
n = 27
so 27 is your first.
27 + 1 is your second (remember n +1 n +2 and n +3)
so your first four integers are: 27 28 29 and 30
(I'll also help with one)
week one: x
week two: x + 5
week three: 2(x+5) or 2x + 10
week1 + 2 + 3 = 431
so its:
x + (x+5) + (2x + 10)
4x + 15 = 431
4x = 416
x = 104
its then:
week one: 104 sold
week two: 109 sold (x + 5)
<span>week three: 218 (2x + 10)
</span>
Answer: A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Find:
You can see that vectors and This means that opposite sides are parallel and option B is false.
Find the lengths of all sides:
As you can see the lengths of opposite sides are equal, but all lengths are not equal. Therefore, the last option D is false.
Now check whether angles A and B are perpendicular:
The dot products are not equal to zero, then angles A and B are nor right. This means that option C is false and option A is correct (ABCD is a parallelogram with non-perpendicular adjacent sides
AKA your correct awnser choice is A :)✨
