How many solutions are on this graph?

Mathematics

2 answers:

Leya [2.2K]3 years ago

7 0

Answer:

Step-by-step explanation:

the 3 places the lines cross are solutions

klemol [59]3 years ago

6 0

Answer:

There are three intersections on the graph, therefore there are three solutions to the system

Step-by-step explanation:

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HELP! PLEASE! I really need help with this question!

LekaFEV [45]

Answer:

They are at the same height at 1.13 seconds.

Step-by-step explanation:

Remark

The rockets are at the same height when f(x) = g(x) [see below] are the same. So you can equate them.

Givens

f(x) = - 16x^2 + 74x + 9

g(x) = -16x^2 + 82x I have changed this so you don't have 2 f(x)s

Solution

f(x) = g(x)
-16x^2 + 74x + 9 = -16x^2 + 82x Add: 16x^2 to both sides
-16x^2+16x^2+74x + 9 = -16x^2+16x^2 + 82x Combine terms
74x + 9 = 82x Subtract 74x from both sides
74x - 74x + 9 = 82x - 74x Combine
9 = 8x Divide by 8
9/8 = 8x/8
x = 1 1/8 Convert to decimal
x = 1.125
x = 1.13 [rounded]

6 0

3 years ago

Consider the sequence:

Vera_Pavlovna [14]

Answer:

a_n = 2^n + 3

Step-by-step explanation:

The first differences have a geometric progression, so the explicit definition will be an exponential function. (It cannot be modeled by a linear or quadratic function.) The above answer is the only choice that is an exponential function.

First differences are ...

(7-5=)2, 4, 8, 16

8 0

3 years ago

Read 2 more answers

Find three positive consecutive integers such that the product of the second integer and the third integer is 72

Anastaziya [24]

Let
x---------> first positive integer
x+1------> second positive integer
x+2-----> third positive integer

we know that
(x+1)*(x+2)=72-------> x² +2x+x+2=72 -------> x² +3x-70=0

using a graph tool-------> <span>I solve the quadratic equation
</span>see the attached figure

the roots are
x1=-10
x2=7

the answer is
first positive integer is x=7
second positive integer is x+1=8
third positive integer is x+2=9