Answer:
C: Xint = 2, Yint. = -7
Step-by-step explanation:
Given the equation, 2x - 7y = -14:
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0. To solve for the y-intercept, set x = 0:
2x - 7y = -14
2(0) - 7y = -14
0 - 7y = -14
-7y = -14
Divide both sides by -7 to solve for y:
-7y/-7 = -14/-7
y = 2
Therefore, the y-intercept = 2.
Next, the x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). To find the x-intercept, set y = 0 and substitute into the given equation:
2x - 7y = -14
2x - 7(0) = -14
2x - 0 = -14
2x = -14
Divide both sides by 2 to solve for x:
2x/2 = -14/2
x = -7
x-intercept = -7.
Therefore, the correct answer is C: Xint = 2, Yint. = -7
Please mark my answers as the Brainliest if you find this helpful :)
Answer:
P(4≤x≤7) = 2/3
Step-by-step explanation:
We'll begin by obtaining the sample space (S) i.e possible outcome of rolling both dice at the same time. This is illustrated below:
1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,6
Adding the outcome together, the sample space (S) becomes:
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
Next, we shall obtain the event of 4≤x≤7. This is illustrated below:
4 5 6 7
4 5 6 7
4 5 6 7
4 5 6 7
4 5 6 7
4 5 6 7
Finally, we shall determine P(4≤x≤7). This can be obtained as follow:
Element in the sample space, n(S) = 36
Element in 4≤x≤7, n(4≤x≤7) = 24
Probability of 4≤x≤7, P(4≤x≤7) = ?
P(4≤x≤7) = n(4≤x≤7) / nS
P(4≤x≤7) = 24/36
P(4≤x≤7) = 2/3
Answer:
0.132
Step-by-step explanation:
4.4%*3=0.132
A)
Two sides are 8 x 2 = 16 x 2 = 32 sq. in.
Two sides are 11 x 2 = 22 x 2 = 44 sq. in.
Top is 8 x 11 = 88 sq. in.
Total surface area: 32 + 44 + 88 = 164 square inches.
B) Area of a circle = PI x r^2
Area = 63.585
63.585 = PI x r^2
Using 3.14 for PI:
63.585 = 3.14 x r^2
Divide both sides by 3.14:
r^2 = 63.585 / 3.14
r^2 = 20.25
r = √20.25
radius = 4.5 inches.
C)
Diameter = radius x 2
Diameter = 4.5 x 2 = 9 inches.
Answer:
Your answer is B
Step-by-step explanation:
Take 300 and subtract it by 99 you'll get 201
3 times 67 is 201
Which is why your answer is B!
Hope this helps! -Queenb369
(P.S, If you could give me the brainlist if i'm right, that will be great thanks!)
