Answer:
D
Step-by-step explanation:
This graph shows two vertical asymptotes, one at x = +3, the other at x = 4. Thus, we omit the first two answer choices. Next, we substitute 0 for x and determine the y value in Answer Choice C: F(0) = 0. Does the graph go through (0, 0)? Yes, it does. Next, evaluate F at x = 3.5 (halfway between x = 3 and x = 4); that is, evaluate function D at x = 3.5. Does the y value come out to be -4 as shown in the graph? Yes, it does. So D is the correct function to match this graph.
Answer:
x = 40
smaller angle is 80
larger angle is 100
Step-by-step explanation:
Supplementary angles add up to equal 180 degrees
Hence, x + 40 + 3x - 20 = 180
( note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
x + 40 + 3x - 20 = 180
step 1 combine like terms
x + 3x = 4x
40 - 20 = 20
we now have 4x + 20 = 180
step 2 subtract 20 from each side
180 - 20 = 160
we now have 160 = 4x
step 3 divide each side by 4
160 / 4 = 40
4x / 4 = x
we're left with x = 40
we now plug in 40 for x to find the value of each angle
x + 40
* substitute 40 for x *
40 + 40 = 80
3x - 20
* substitute 40 for x *
3 ( 40 ) - 20
3 * 40 = 120
120 - 20 = 20
so the larger angle is 100 degrees and the smaller angle is 80 degrees
Answer:
4 pack priced at £2.04 is the better pack
Step-by-step explanation:
2.04/4=£0.51 per roll
4.68/9=£0.52 per roll
This question involves basic arithmetic signs and simplifying of bracket terms.
Mobile number is; 9 6 4 1 2 7 8 1 2 3
a) 2x - 5 = 7
Add 5 to both sides to get;
2x = 12
x = 12/2
x = 6
b) 2(p + 1) = p + 4
Expanding the bracket gives;
2p + 2 = p + 4
Rearranging gives;
2p - p = 4 - 2
p = 2
c) 5(y + 1) = 25
Expanding the bracket gives;
5y + 5 = 25
5y = 25 - 5
5y = 20
y = 20/5
y = 4
d) 5(q –1) + 3q = 10 + 1
Expanding the bracket gives;
5q - 5 + 3q = 11
2q - 5 = 11
add 5 to both sides to get;
2q = 16
q = 16/2
q = 8
Question E and F are not clear but as it is r and z that are yet to be gotten, i have gotten the right equations from the brainly link at the end of this page.
e) 8z - 8 = 6z + 8
Rearranging, we have;
8z - 6z = 8 - 6
2z = 2
z = 2/2
z = 1
f) 3(r+10) + 200 = 236
Expanding the bracket and rearranging, we have;
3r + 30 = 236 - 200
3r = 236 - 200 - 30
3r = 6
r = 6/3
r = 2
So we now have;
x = 6; y = 4; z = 1; p = 2; q = 8; r = 2
Mobile number is; 9 6 4 1 2 7 8 1 2 3
Read more here; brainly.in/question/24417680?tbs_match=1
The period of a sine and cosine is 2pi. The amplitude is 1.
