All categories

4 years ago

Use the function g(x) = 4(0.6)x to complete the table and find the y-intercept.

Mathematics

1 answer:

sweet-ann [11.9K]4 years ago

3 0

Answer:

2.4

Step-by-step explanation:

You might be interested in

52.Consider the functionsf(x) = 2* x+6 and g(x) = 5*2x.

likoan [24]

Answer:

$x=\frac{6\ln \left(2\right)}{2\ln \left(5\right)-\ln \left(2\right)}\\x \approx 1.65$

Step-by-step explanation:

Given

$f(x) = 2^{\left(x+6\right)}$

$g(x) = 5^{2x}$

We want to find $f(x) = g(x)$

For this you need to:

if $f(x) = g(x)$ , then $\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)$

$\ln \left(2^{x+6}\right)=\ln \left(5^{2x}\right)$

Apply log rule: $\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$\left(x+6\right)\ln \left(2\right)=2x\ln \left(5\right)$

Solve for x

Expand $\left(x+6\right)\ln \left(2\right) = \ln \left(2\right)x+6\ln \left(2\right)$

$\ln \left(2\right)x+6\ln \left(2\right)=2x\ln \left(5\right)$

$\ln \left(2\right)x=2x\ln \left(5\right)-6\ln \left(2\right)\\\ln \left(2\right)x-2x\ln \left(5\right)=-6\ln \left(2\right)\\\left(\ln \left(2\right)-2\ln \left(5\right)\right)x=-6\ln \left(2\right)\\\\x=\frac{6\ln \left(2\right)}{2\ln \left(5\right)-\ln \left(2\right)}\approx 1.65$

8 0

3 years ago

GCF of 24 , 36 , and 60

Aloiza [94]

24 36 60 
1 × 24 1 × 36 1 × 60
2 × 12 2 × 18 2 × 30
3 × 8 3 × 12 3 × 20
4 × 6 4 × 9 4 × 15
 6 × 6 5 × 12
 6 × 10

GCF(24, 36, 60) = 12

4 0

3 years ago

Read 2 more answers

Giving Brainlyest

serious [3.7K]

Answer:

Answer: SSS

Step-by-step explanation:

Triangle congruence

We need to find out if triangles ABC and DCB are congruent.

The image shows one tick mark on sides AC and BD, thus they are congruent.

Two tick marks are shown on sides AB and CD, thus they are congruent.

Finally, both triangles share the side BC.

Being all three sides congruent, the triangles are congruent by the SSS (side-side-side) congruence theorem.

Answer: SSS

6 0

3 years ago

There are 6 times as many dogs as cats. If the total number of dogs and cats is 21. How many dogs are there

Lostsunrise [7]

18, because cats would be 3, and then the dogs would be 6 times that, which would be 18. 18 + 3 = 21.

4 0

4 years ago

Read 2 more answers

The image of a point after a –90° rotation about the origin is (–4, 7). What are the coordinates of the preimage?

WINSTONCH [101]

The point (-4, 7) is in the 2nd quadrant. The coordinate of the preimage of a -90 degrees rotation that resulted to point (-4, 7) will be in the third quadrant. (i.e. both x and y is negative). Hence, answer is (-7, -4).

6 0

3 years ago