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bulgar [2K]
3 years ago
12

Solve for x: 3^(x+3)=9

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

-1

Step-by-step explanation:

To solve equations like this we need to use the following rule

x^y=z\\y=log_xz

We have

3^{x+3}=9\\x+3=log_39\\x+3=2\\x= -1

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Identify the vertex of y = x^2 + 4x + 5
docker41 [41]

Answer:

D. (-2,1)

Step-by-step explanation:

we have

y=x^2+4x+5

This is the equation of a vertical parabola open upward The vertex represent a maximum

Convert the quadratic equation in vertex form

y=a(x-h)^2+k

where

(h,k) is the vertex

Complete the square

y=(x^2+4x+2^2)+5-2^2

y=(x^2+4x+4)+5-4

y=(x^2+4x+4)+1

Rewrite as perfect squares

y=(x+2)^2+1

The vertex is the point (-2,1)

3 0
4 years ago
The cost of 3 tacos and a juice is $7. The cost of 4 tacos and 2 juices is $10. If t = the cost of a taco and j = the cost of a
marin [14]

Answer:

t=2

j=1

Step-by-step explanation:

3 tacos and a juice is $7

3t+j=7

4 tacos and 2 juices is $10

4t+2j=10

We have a simultaneous equation. It can be solved either by substitution method or Elimination method. For the purpose of this question, the elimination method will be used

3t+j=7 Equation 1

4t+2j=10 Equation 2

To eliminate j, we multiply Equation 1 by 2, the coefficient of j in equation 2, so that in both equations, j can have the same coefficient.

2(3t+j=7)

6t+2j=14 Equation 3

We now have

4t+2j=10 Equation 2

6t+2j=14 Equation 3

We subtract equation 2 from equation 3, to eliminate j

6t-4t=2t

2j-2j=0

14-10=4

We have 2t=4

Divide both sides by 2

2t/2=4/2

t=4/2

t=2

Substitute t for 2 in equation 1, to get j

3t+j=7

3(2)+j=7

6+j=7

j=7-6

j=1

One taco cost $2 while 1 juice cost $2

3 0
3 years ago
What is 0.25 to the nearest whole number
Alex73 [517]

Answer:

0

Step-by-step explanation: 0.25 rounded is 0

4 0
3 years ago
80 students took a math test. If 44 students passed the test. What percent passed?
leva [86]

Answer: 55% of the students passed the math test

Step-by-step explanation: The fraction \frac{44}{80} represents the number of students who passed the math test out of all the students that took the test.

To find out what percent of the students that took the math test passed, we can turn the fraction \frac{44}{80} into a percent.

To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. So to write \frac{44}{80} as a percent, we need to find a fraction that is equivalent to \frac{44}{80} with a 100 in the denominator. We can do this by setting up a proportion.

\frac{44}{80} = \frac{n}{100}

Now, we can use cross products to find the missing value.

4,400 = 80n

÷80      ÷80

    55 = n

Therefore, 55% of the students that took the math test passed it. This should make sense because 40/80 would be half and 44 students is only a little over 50%.

4 0
3 years ago
WILL GIVE BRAINLEIST THANK YOU AND FRIEND YOU NEED TO GIVE AWAY POINTS EASY A counterexample is an example showing that a statem
Zigmanuir [339]
4 ÷ 2 = 2
2 ÷ 4 = 1/2
As we can see, the order in which the numbers are divided yielded different results.
8 0
3 years ago
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