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katen-ka-za [31]
3 years ago
12

In general, the y intercept of the function F(x)= a•b^x is the point

Mathematics
1 answer:
serg [7]3 years ago
4 0

The y intercept of this function is always (0, a).


This is because when we place 0 in for x (which is the only way it'll be on the y-axis, we get 'a' as a result. This is because of the rule that raising anything to the 0th power will result in the number 1 and multiplying anything by 1 gives us the same number. See the work below for the example.


F(x) = a*b^x

F(0) = a*b^0

F(0) = a*1

F(0) = a


And for an example with a random number, we'll use a = 5 and b = 3


F(x) = 5*3^x

F(0) = 5*3^0

F(0) = 5*1

F(0) = 5


No matter what a and b equal, the intercept will be the a value.

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Hi, the answer is K but can anyone show why
dlinn [17]

Let's do 51 and 52.

51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.

The contrapositive of IF P THEN Q is IF not Q THEN not P.  They're equivalent.  Here that's If the cat is not female then it is not tricolor.

Answer: C

52.  

(x^3)^{(4-b^2)}=1

x^{3(4-b^2)} = 1

For the statement to be true, the exponent must be zero:

3(4-b^2) = 0

b^2 = 4

b = \pm 2

Both positive 2 and negative 2 have a square of 4.

Answer: K

By the way, usually we assume 0^0=1 so the restriction that x \ne 0 isn't really necessary.  Think of the definition of a polynomial or the binomial expansion:

\displaystyle f(x)=\sum_{k=0}^n a_k x^k

\displaystyle(x+y)^n=\sum_{k=0}^n {n \choose k} x^{k}y^{n-k}

For these common equalities to work when x=0 we need to define 0^0=1


3 0
3 years ago
3,000 is 1/10 of?-<br><br>300<br><br>300,000<br><br>3,000<br><br>30,000​
NeX [460]

Answer:

30,000​

Step-by-step explanation:

3,000 times 10 is 30,000, therefore 30,000/10=3,000

7 0
2 years ago
Read 2 more answers
Please help me asap<br>scale factor: 0.75 A:(4,8) b:(12,16) c:(16,8)​
mojhsa [17]

The new coordinates after the reduction by a scale factor of 0.75 are A'(3, 6); B'(9, 12); C'(12, 6)

<h3>How to make use of scale factor?</h3>

When we are talking about scale factor and as a result, we know that the image could either be reduced or enlarged.

Now, we want to reduce the given triangle by a scale factor of 0.75. Now, the coordinates of the given triangle are;  A:(4, 8) B:(12, 16) C:(16, 8)​

Thus, we will ,multiply each of the coordinates by a scale factor of 0.75 to get;

A(4, 8) * 0.75 = A'(3, 6)

B(12, 16) * 0.75 = B'(9, 12)

C(16, 8) * 0.75 = C'(12, 6)

Thus, we can conclude that the new coordinates after the reduction by a scale factor of 0.75 are A'(3, 6); B'(9, 12); C'(12, 6)

Read more about Scale Factor at; brainly.com/question/10253650

#SPJ1

5 0
2 years ago
Help with this please ​
andrew-mc [135]

Answer:

140

Step-by-step explanation:

this is because of alternate suplementry lines

4 0
3 years ago
Solve 3/4≤1/2+n. Graph the solution.
Nuetrik [128]

The solution is n\geq\frac{1}{4}.

Solution:

Given expression:

$\frac{3}{4} \leq \frac{1}{2}+n

To solve this inequality.

$\frac{3}{4} \leq \frac{1}{2}+n

Subtract \frac{1}{2} on both sides of the inequality.

$\frac{3}{4}-\frac{1}{2} \leq \frac{1}{2}+n-\frac{1}{2}

$\frac{1}{4} \leq n

Switch the sides.

$n\geq\frac{1}{4}

The solution is n\geq\frac{1}{4}.

Now, graph the solution.

The solution of the graph is attached below.

5 0
3 years ago
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