Answer:
Step-by-step explanation:
Let the larger number = x
Smaller number = y
6x + 7y = 114 ------------(I)
10x - 9y = 66 ------------(II)
Multiply equation (I) by 9 and multiply the equation (II) by 7. After that add the two equations. So that, y will be eliminated and we can find the value of x
(1)*9 54x + 63y = 1026
(II)*7 <u>70x - 63y = 462</u> {Now add}
124x = 1488 {Divide both sides by 124}
x = 1488/124
x = 12
Plugin x = 12 in any of the equation. Here, We are substituting in equation (I)
6*12 + 7y = 114
72 + 7y =114
7y = 114 - 72
7y = 42
y = 42/7
y = 6
The numbers are 12 , 6
Answer:
AB ≈ 7.08
Step-by-step explanation:
Cos θ = adjacent / hypotenuse
where θ = 20° , adjacent = 7 and hypotenuse = AB
cos 20 = 7 / AB
cos 20 × AB = 7
AB = 7/Cos 20
AB = 7 / 0.989
AB = 7.077
AB ≈ 7.08
Answer:
x = 25
Step-by-step explanation:
0 = 2x - 50
0 - 2x = -50
-2x = -50
x = 25
The graph that represents the equation f(x) = 3(2)^x is graph c
<h3>How to determine the graph?</h3>
The equation of the function is given as
f(x) = 3(2)^x
The above equation is an exponential function
An exponential function is represented as
f(x) = ab^x
Where
- a represents the y-intercept
- b represents the rate
By comparing the equations, we have
a = 3 and b = 2
This means that the graph cross the y-axis at y = 3 and the graph is a growth function
The graph that shows the above highlight is graph (c)
Read more about exponential graphs at
brainly.com/question/2456547
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Number 7 is A and number 8 is C, i’ve had this before
