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!!!
Step-by-step explanation:
x-4+3x+100=180
4x+96=180
4x=84
x=21
For the answer to the question if t<span>here are 2.5 centimeters in an inch and if a paperclip is 1.5 inches long, how many centimeters long is the paperclip.
The answer to this question is the paperclip is </span> 3.81 cm long.
I hope my answer helped you. Have a nice day!
9514 1404 393
Answer:
$1400
Step-by-step explanation:
Let x represent the amount borrowed from Bank 1. For each loan, the interest is given by I=Prt, where P is the principal borrowed at rate r for t years.
Then the total interest over 3 years is ...
3(4.3%·x +5.9%(5400 -x)) = 888.60
-1.6%·x +318.60 = 296.20 . . . . . . . . . . . divide by 3, simplify
-1.6%·x = -22.40 . . . . . . . . . . . subtract 318.60
x = 22.40/0.016 = 1400
The student borrowed $1400 from Bank 1.
X is the number
<span>The sum of two numbers is 11, so other number is : 11 - x
</span><span>The sum of their squares is 65
</span>
x^2 + (11 - x)^2 = 65
x^2 + 121 - 2(x)(11) + x^2 = 65
2x^2 - 22x + 121 = 65
2x^2 - 22x + 121 - 65 = 0
2x^2 - 22x + 56 = 0
2(x^2 - 11x + 28) = 0
2(x - 7)(x -4 ) = 0
x - 7 = 0
x = 7
x - 4 =0
x =4
answer: the numbers are 4 and 7
double check:
<span>sum of two numbers is 11:
4 + 7 = 11
</span><span>The sum of their squares is 65
</span><span>4^2 + 17^2 = 16 + 49 = 65
</span>