Answer:
k = 1
Step-by-step explanation:
English Translation
Find k if the point P (-1, 2k + 1) belongs to the graph of the function f (x) = - 4x^2 + 7.
The function is given as
y = f(x) = -4x² + 7
and point (-1, 2k+1) lies on the graph.
This point means that, at x = -1, y = 2k+1
y = -4x² + 7
Substituting the values in
2k + 1 = -4(-1)² + 7
2k + 1 = -4 + 7 = 3
2k = 3 - 1
2k = 2
k = 1
Hence, the point (-1, 2k+1) is (-1, 3)
To check,
y = -4x² + 7
3 = -4(-1)² + 7
3 = -4 + 7
3 = 3
So, this is truly correct.
Hope this Helps!!!
Answer:
1. f= 9
2. y= 10
3. h= 2.5
4. q= 10
5. m= 6
Step-by-step explanation:
1. you divide both sides by 3 to get f by itself
2. you divide both sides with 6
3. you subtract because it is the opposite of addition. you could also write 5/2 but that’s not simplified enough
4. 10 x 4 = 40 so 10 is the answer
5. you subtract both sides by 6 and get 24. 24 divided by 4 equals 6
The volume of the pyramid with the given length, width and height is 165in³.
<h3>What is the volume of the pyramid?</h3>
The volume of a right rectangular pyramid is expressed as;
V = ( L × W × H ) / 3
Given that;
- Length L = 11in
- Width W = 9in
- Height H = 5in
We substitute into the equation above.
V = ( L × W × H ) / 3
V = ( 11in × 9in × 5in ) / 3
V = 495in³ / 3
V = 165in³
The volume of the pyramid with the given length, width and height is 165in³.
Learn more about volume of pyramid here: brainly.com/question/17615619
#SPJ1
Answer: y = 6x + 22
Step-by-step explanation:
Parallel lines have same slope. So, a line parallel to y = 6x − 1 is y = 6x + c.
Now to find c, put (-3,4) to this equation since the line passes through the point.
4 = 6 × -3 + c
4 = -18 + c
4 + 18 = c
c = 22
So, equation is y = 6x + 22
X-the number
16 + 2x = -24 |subtract 16 from both sides
2x = -40 |divide both sides by 2
<u>x = -20</u>
Answer: <em>The number is -24</em>
