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malfutka [58]
3 years ago
5

Solve for the value of X in 9^x+4(3^x+1)+27=0​

Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

No solutions

Step-by-step explanation:

9^x + 4(3^x + 1) + 27 = 0\\3^{2x} + 4 \cdot 3^x + 31 = 0

Substitute 3^x with t and we get.

t^2 + 4t + 31 = 0\\\triangle = 16 - 4 \cdot 31 = -108 < 0 => t_{12} \notin R => x \notin R

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Jessica is filling her swimming pool with water. The pool will hold 500 gallons of water,
Gre4nikov [31]
Hey hey y’all is that the answer
4 0
3 years ago
Write the slope intercept form of the equation for the line that is described in the following function table.
Elenna [48]

Answer:

y=mx+b

m = slope

b = y-intercept

To find slope we use the equation, change in y divided by the change in x. Let's use points (2, 2) and (3, 1).

(2-1) / (2-3) = -1

Meaning our slope is -1 and it will be going down.

Next, we have to find the y-intercept which is the value of y when x=0. When x is 0 y will be 4.

y=-1x+4

7 0
3 years ago
Anthony is 154 cm tall, his brother Gerry is 5/7 as tall as him. How tall is Gerry?
11111nata11111 [884]

The correct answer is 110 cm

Explanation:

Fractions always include two values (one at the top and the other at the bottom) and they represent the proportion of something, for example, 1/2 of an apple means there is only half apple. Now, to calculate how much is 5/7 of 154 centimeters, simply divide the total number into the denominator (bottom number) and then multiply the result by the numerator (top number). This process is shown in detail below:

\frac{5}{7}  -  5 is the numerator and 7 is the denominator

5/7 of 154 cm

154 cm / 7 = 22

22 x 5 = 110 cm

4 0
3 years ago
Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviatio
katrin2010 [14]

Answer: a)  79.10 %           b) 7%                c)19.85 %

Step-by-step explanation:

a) Z = ( × - μ ) ÷ σ           Where  μ mean of population σ standard               deviation Z is the abscissa to give the area or probability we are looking for associated to the value 10 ounces ( × )

So:  Z = ( 10 - 9 ) ÷ 1.2  ⇒ Z = 1/1.2 ⇒   Z = 0.83  it has to be below this value

From Z tables we get  P [ Z ≤ 0.82 ] = 0.7910  0r  79.10 %

b) Following the same procedure: We look for

P [ Z > ( x - μ ) ÷   σ ]    ⇒   Z  =  ( 12 -10 ) ÷ 1.2  = 2.5

From Z table we get the area under the curve from the left tail up to the point Z < 2.5 ( 2.5 not included) but we were asked for the area out of that previous so 1- 0.9930 = 0.007 is the area we are looking for

So P (b) = 0.007  or 7 %

Finally between the two points above mentioned ( 10 ≤  Z  ≤ 12 ) we use the previous values (taking in consideration the limits, according to the problem statement )

Z ≤ 10     Z ⇒( 10-9  ) ÷ 1.2   Z = 0.7967

Z ≥ 12     Z ⇒ ( 12 - 9 ) ÷ 1.2  Z = 0.9952

The interval is between these two points

0.9952 - 0.7967 = 0.1985   ⇒ or 19.85 %

The attached help in the understanding of the solution

                               

5 0
3 years ago
3.
alexgriva [62]
Let the number of green apples and red apples be 8x and 3x respectively.

Given: 8x-3x =35

=> 5x =35 => x=7

Hence there are 8x=56 green apples and 3x=21 red apples.Ans.

4 0
3 years ago
Read 2 more answers
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