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cupoosta [38]
3 years ago
6

Help please need help

Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0
18 because 6=22. 12=44. 18=66
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in the xy-plane, the line x + y=k, where k is a constant, is tangent to the graph of y=x^2+3x+1. What is the value of k?
Sholpan [36]
When a line and a curve are tangent to each other, they are joined together by 1 point (x,y). So, you equate both equations either in terms of x or y. For this problem, let's equate in terms of y.

y = k - x
y = x² + 3x + 1

k - x = x² + 3x + 1
k = x² + 3x + x + 1
k = x² + 4x + 1

This would be the value of k. Since we are not given the common point, it can only be expressed in terms of x or y.
3 0
3 years ago
answers please asap for this question please i have been waiting for ever and its due tomorrow the 10th
ololo11 [35]
Hi there!

First, let's create an equation for the table: m = 2n + 40. Using this equation, we can find the values of x, y, and z.

WORK:
x = 2(4) + 40
x = 8 + 40
x = 48
y = 2(5) + 40
y = 10 + 40
y = 50
z = 2(6) + 40
z = 12 + 40
z = 52

Next, using the equation, we know that the initial investment would be 40, since that is the y-intercept of the equation. To express M in terms of N, that would be our equation m = 2n + 40. To find 10 years, we'll plug in 10 for n.

WORK:
m = 2(10) + 40
m = 20 + 40
m = 60 after 10 years

To figure out when his investment would double, we'll need to use 80 (double his initial investment of 40) in place of m.

WORK:
80 = 2n + 40
40 = 2n
n = 20 years


Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
7 0
3 years ago
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 21 N acts on
boyakko [2]

Answer: i think its 65n

Step-by-step explanation:

6 0
3 years ago
The population of a town is currently 32,000 and it is projected to increase by 5% each year. What would be the population in 4
BabaBlast [244]
You would multiply 32,000 x 0.05 = 1,600 so
1,600 x 4 = 6,400
So the population would grow by 6,400 every 4 years.

4 0
3 years ago
How many ways can a President and a Vice President (2 positions) be selected from a group of 10 people?
Anna35 [415]

Answer:

90

Step-by-step explanation:

There are 10 people who can be picked for the first position, which leaves 9 people who can be picked for the second position.

10 × 9 = 90

You can also use permutations.

₁₀P₂ = 90

7 0
3 years ago
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