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Alik [6]
2 years ago
11

What are the x-intercepts of this function? g(x) = -0.25x2 − 0.25x + 5

Mathematics
1 answer:
musickatia [10]2 years ago
6 0

Answer:

(-5,0) and (4,0)

x= -5 and x= 4

Step-by-step explanation:

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Solve the equation 3^(2x) -4*3^(x+1) + 27 = 0. use rules of exponents to change 3^(x+1)​
Leviafan [203]

Answer:

\huge\boxed{x=1\ \vee\ x=2}

Step-by-step explanation:

3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}

\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}

4 0
3 years ago
Find an explicit formula for the following sequence, an, which starts with a1=7. 7,−14,28,−56,112,…
Digiron [165]

Answer:

simply multiply each number by -2

Step-by-step explanation:

7 * -2 = -14 -14 * -2

brainliest answer plz!

6 0
3 years ago
Read 2 more answers
Write an equation in slope intercept form that passes through the point (3,9) and has a slope of -5
Anna35 [415]

Answer:

y= -5x +24

Step-by-step explanation:

<u>Slope-intercept form</u>

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -5, m= -5.

Substitute m= -5 into the equation:

y= -5x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation:

When x= 3, y= 9,

9= -5(3) +c

9= -15 +c

c= 9 +15

c= 24

Thus, the equation of the line is y= -5x +24.

5 0
2 years ago
Help please...I'll do anything...
Sveta_85 [38]

Answer:

Step-by-step explanation:

Here is a formula that can help:

4 0
3 years ago
I will give brainliest to whoever answers this question. Also if you can please explain how you solved it I would appreciate it!
LUCKY_DIMON [66]
The answer is 4.9. 32/26=6/x, cross multiple to get 32x=156, divide by 32 to get x=4.875~4.9
3 0
3 years ago
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