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2 years ago

Plssssssss help meeeee

Mathematics

1 answer:

RUDIKE [14]2 years ago

5 0

Im pretty sure these are the answer but make sure to double check.
1.C
2.C
3.C

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Solve 9^x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.

Sauron [17]

Answer:

If you meant $9^x+4=11$ , then the answer is approximately 0.866.

If you meant $9^{x+4}=11$ , then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

$9^x+4=11$

First step is to get the exponential part by itself. The part that has the variable exponent which is the $9^x$ term.

To do this we need to subtract 4 on both sides:

$9^x=11-4$

Simplify:

$9^x=7$

The equivalent logarithmic form is:

$\log_9(7)=x$

I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

Anyways if you don't have options for computing $\log_b(a)$ in your calculator you need to use the change of base formula.

$\frac{\log(7)}{\log(9)}=x$

So $x \approx 0.8856$

I don't see this as a choice so maybe you actually meant the following equation:

$9^{x+4}=11$

Let's see if this is the correct interpretation.

So the exponential part is already isolated.

So we just need to put in the equivalent logarithmic form:

$\log_9(11)=x+4$

Now we subtract 4 on both sides:

$\log_9(11)-4=x$

Again if you don't have the option for computing $\log_b(a)$ in your calculator, you will have to use the change of base formula:

$\frac{\log(11)}{\log(9)}-4=x$

$x \approx -2.909$

6 0

3 years ago

Plz help with this asap

Goryan [66]

Answer:

A, B and D

Step-by-step explanation:

7 goes in to 28 and 12 goes in to 32

14 goes into 28 and 16 gies i to 32

7 goes into 28 and 8 goes into 32

5 0

2 years ago

Read 2 more answers

12 (x+1/6) = 8 20 points

Aliun [14]

Answer:

12x + 2

Step-by-step explanation:

12 is multiplyed by both the x and the (1/6) since it is outside the equation.

so 12 times x = 12x since we dont know what x is

and 12 times (1/6) = (12/6) = 2

7 0

2 years ago

Of the 240 sandwiches Joanna makes 20% are tuna sandwiches and 40% are jam sandwiches, and the rest are egg salad sandwiches.How

nikitadnepr [17]

240 = 100%
so 10% = 24 sandwiches
all - (tuna) - (jam) = egg
100% - 20% - 40% = 40%
40% = 10%*4
40% = 24*4 = 96

the answer is 96 egg salad sandwiches

4 0

3 years ago

Mark and Julio are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and packages of croc

ikadub [295]

Answer:

Bag of windflower bulbs costs $8.50

Package of crocus bulbs costs $17.60

Step-by-step explanation:

Let $x be the price of one bag of windflower bulbs and $y be the price of one package of crocus bulbs.

1. Mark sold 2 bags of windflower bulbs for $2x and 5 packages of crocus bulbs for $5y. In total he earned $(2x+5y) that is $105. So,

2x+5y=105

2. Julio sold 9 bags of windflower bulbs for $9x and 5 packages of crocus bulbs for $5y. In total he earned $(9x+5y) that is $164.50. So,

9x+5y=164.50

3. You get the system of two equations:

$\left\{\begin{array}{l}2x+5y=105\\ \\9x+5y=164.50\end{array}\right.$

From the first equation

$5y=105-2x$

Substitute it into the second equation:

9x+105-2x=164.50

7x=164.50-105

7x=59.5

x=$8.50

So,

5y=105-2·8.5

5y=105-17

5y=88

y=$17.60

5 0

3 years ago