Answer:
Step-by-step explanation:
4*3^x+1=27+(3^2)^x
(3^2)^x=(3^x)^2
3^x=t
4t+1=27+t^2
t^2-4t+27-1=0
t^2-4t+26=0
delta=4^2-4*1*26=16-84=-68<0
the equation has not real solutions
Answer:
B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.
Step-by-step explanation:
<u>Let's convert the standard equation into slope-intercept form:</u>
- Ax + By = C ⇒ subtract Ax from both sides
- By = -Ax + C ⇒ divide both sides by B
- y = -A/Bx + C/B ⇒ converted to slope- intercept form
As we see the slope is -A/B
<u>The equation 7x + 9y = 14 is converted as:</u>
- y = -7/9x + 14/9, where the slope is -7/9
<u>Looking at the answer options and the correct one is option B, where both identification of slopes match.</u>
- B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.
Answer:
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Step-by-step explanation:
...........................
Sat + Sun = 52
Sun = Sat + 8
Sat + Sat + 8 = 52
2Sat + 8 = 52
2Sat + 8-8 = 52-8
2Sat = 44
2Sat/2 = 44/2
Sat = 22
Sun = 22 + 8
Sun = 30
Check
Sat + Sun = 52
22 + 30 = 52
52 = 52
Answer: 
Step-by-step explanation:
For this exercise is necessary to remember the following formula:
Where "V" is the speed, "d" is the distance and "t" is the time.
In this case you must solve for the time, then:
Based on the information provided in the exercise, you can identify that:
Therefore, knowing this, you can make the substitution into the formula 
.
Through this procedure you get that the equation that can be used to find the amount of hours "h" that it will take Sandra to drive "m" miles at her constant speed, is:
