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.
Step-by-step explanation:
1. 2x-4=10
2x=14
x=7
2. 3x+3=2x-1
3x-2x=-1-3
x=-4
3. 7x+x=24
8x=24
x=3(
4. 5+x=-18
x=-18-5
x=-23
5. -14=10-6x
6x=10+14
6x=24
x=4
6. 2x-2=x+12
2x-x=12+2
x=14
7. 3x-31=2
3x=2+31
3x=33
x=11
8. 5x-14=16
5x=16+14
5x=30
x=6
9. 2x+8=4(5-x)
2x+8=20-4x
2x+4x=20-8
6x=12
x=2
10. 2x-3=3(1+x)
2x-3=3+3x
2x-3x=3+3
-x=6
Answer:
first term a=4
Step-by-step explanation:
Sum of the first 6 terms S6 = 15624
common ratio r= 5
n= 6
first term a=?
Formula: S6= a(r^n-1)/r-1
15624 = a( 5^6-1)/5-1
15624 = a(15625-1)/4
15624= a( 15624)÷4
15624= 15624a÷4
Cross multiply
15624×4 = 15624a
62496 = 15624a
divide both sides by 15624
62496÷15624 = 15624a÷15624
4 = a
a= 4
