All categories

3 years ago

Given f(x) 2^x -7 find the x intercepts

1 answer:

7 0

Be sure to include the "=" sign: f(x) = 2^x -7

To find the x-intercepts, set f(x) = 0 and solve for x: 2^x - 7 = 0,
or
2^x = 7

Take the common log of both sides: x log 2 = log 7
log 7
Solve for x: x = --------- = 2.81 (approx)
log 2

You might be interested in

You run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at

Ber [7]

Answer:

Step-by-step explanation:

first runs n+1 laps

and second runs n laps in the same time.

so (n+1)8=10n

10n=8n+8

10n-8n=8

2n=8

n=8/2=4

one lap=1 mile

4 laps=4 miles

4+1=5 laps=5 miles.

first runs 5 miles whereas second runs=4 miles.

3 0

4 years ago

Read 2 more answers

the ratio of girls to boys in an astronomy club was 3:2. there were 30 girls. how many total members were there in the club

lakkis [162]

Answer:

Explanation: the ratio 2:4 can be reduced to 1:2, where the number of girls corresponds to the 1 and the number of boys corresponds to the 2. If there are 14 girls, then there must be 28 boys (14 x 2 = 28). Now to get the total number we need to add the total number of boys and girls together. So 14 + 28 = 42

Step-by-step explanation:

5 0

3 years ago

Find the area of the parallelogram shown below.

ale4655 [162]

Answer:

<h2>120 square units </h2>

Step-by-step explanation:

Given, 

Base of the parallelogram = 10

Height of the parallelogram = 12

Therefore, 

Area of the parallelogram = base × height 

= 10 × 12

= 120

Hence,

Area of the parallelogram is 120 square units (Ans)

5 0

3 years ago

Jim had some dimes, quarters, and nickels. First, he counted only the dimes and quarters and found that he had 9 coins. Then, he

Olegator [25]

Answer:

$1.90

Step-by-step explanation:

Represent the numbers of nickels, dimes and quarters by n, d and q.

Then: d + q = 9, or q = 9 - d.

Also, n + d = 10

Lastly, n + d + q = 15.

Let's substitute 9 - d for q in the equation immediately above:

n + d + (9 - d) = 15, or n + 9 = 15. Then n must be 6.

In summary, Jim has 6 nickels, (10 - 6) dimes and (9 - 4) quarters, or:

6 nickels, 4 dimes and 5 quarters

Thus, he has 5($0.05) + 4($0.10) + 5($0.25), or

$0.25 + $0.40 + $1.25, or $1.90

7 0

3 years ago

Which graph represents the function f (x) = StartFraction 4 Over x EndFraction?

beks73 [17]

Answer:

2nd graph (image)

Step-by-step explanation:

The function to graph is:

$f(x)=\frac{4}{x}$

It follows the general pattern of the function: $f(x)=\frac{1}{x}$ , which is general shape and in 1st and 3rd quadrants. So, we can eliminate 3rd and 4th choices (because of quadrants).

The answer is either 1st, or 2nd graph.

Now, we simply can check a point in both.

lets take x = 4, so the function would be:

f(4) = 4/4 = 1

Hence, point is:

(4,1)

The first graph doesn't go through this point. The second graph does.

hence, we can successfully choose the 2nd graph as our answer.

7 0

3 years ago

Read 2 more answers