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2 years ago

Suppose the x intercept of the graph of y=f(x) are 2 and 3. what are the x-intercepts of y=8f(x)

Mathematics

1 answer:

Yuliya22 [10]2 years ago

6 0

We are given: Function y=f(x).

First x-intercept of the y=f(x) is 2.

x-intercept is a point on x-axis, where y=0.

Replacing y by 0 and x by 2 in above function, we get

0=f(2)

Second x-intercept of the y=f(x) is 3.

Replacing y by 0 and x by 2 in above function, we get

0=f(3)

We are given another function y=8f(x).

Here only function f(x) is being multiplied with 8.

That is y values of function should be multiply by 8.

Because we have y value equals 0. On multiplying 8 by 0 gives 0 again and it would not effect the values of x's.

Therefore,

x-intercepts of y=8f(x) would remain same, that is 2 and 3.

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A ratio of dogs to cats a pet store is 1:3. There are 15 cats. how many dogs are at the pet store

DIA [1.3K]

From the ratio given we know that there is 3 times more cats than dogs.

If there are 15 cats, then there are 15/3 dogs or 5 dogs.

answer: 5 dogs

8 0

3 years ago

The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.

zavuch27 [327]

Answers: The page numbers are 11 and 12

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Explanation:

Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.

Let,

x = first page, some positive whole number
x+1 = second page, follows immediately after page x

Adding those two said pages will lead to 23

first + second = 23

(x) + (x+1) = 23

2x+1 = 23

2x = 23-1

2x = 22

x = 22/2

x = 11 is the first page

x+1 = 11+1 = 12 is the second page

Check: 11+12 = 23 which confirms the answers.

8 0

2 years ago

Could someone answer and explain these please? Thank you!

Oksana_A [137]

Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

$x=(10 \times t)+(1 \times u)$

$x=10t+u$

The two digit number 'y' is obtained by reversing the digits of x.

So, $y=(10 \times u)+(1 \times t)$

$y=10u+t$

Now, the value of x-y is expressed as:

$x-y=(10t+u)-(10u+t)$

$x-y=10t+u-10u-t$

$x-y=9t-9u$

$x-y=9(t-u)$

So, $9(t-u)$ is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = $\frac{a}{1-r}$

Since, the sum of the given infinite geometric series = 200

Therefore, $\frac{a}{1-r}=200$

Since, r=0.15 (given)

$\frac{a}{1-0.15}=200$

$\frac{a}{0.85}=200$

$a=0.85 \times 200$

a=170

The nth term of geometric series is given by $ar^{n-1}$ .

So, second term of the series = $ar^{2-1}$ = ar

Second term = $170 \times 0.15$

= 25.5

So, the second term of the geometric series is 25.5

Step-by-step explanation:

8 0

2 years ago

(20 Points) !!!<br><br> 5/8 times 4/5<br> Fastest get Brainliest

OleMash [197]

5/8 * 4/5
5*4 20 1
----- = ----- = ---
8*5 40 2

5/8 * 4/5 = 1/2 or .5

4 0

2 years ago

Read 2 more answers

Observe the equation below, can a value be found for x to make the equation true? Why or why not? 0=4x

Fiesta28 [93]

You have written 0 = 4x.

The value of x that makes it true is x = 0, given that 4 times 0 is 0.

Nevertheless, I think you wanted to write 0 = 4 ^x (this is 4 raised to the power 4).

In that case, there is not any valued of x that satisfies the equation. This is, the equation is always false.

That is because, there is not any value of x for which 4^x is zero. The range of this function is al the positive values of x, which exclude zero.

3 0

3 years ago