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3 years ago

13

If g(x)=5x-3 and h(x) = x find (goh) (4)

1 answer:

Alexus [3.1K]3 years ago

7 0

Goh means

G(h(4))
G(4)
5*4-3
17

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What is the midpoint of the segment (-2,4) and (6,-4)

liberstina [14]

To find midpoint, we find the average or median of the two x terms and the average of the two y terms to find the right coordinate point. In this case, the average of -2 and 6 is 2, and the mean of 4 and -4 is 0, so the new coordinate point is (2,0).

3 0

2 years ago

Read 2 more answers

Degger [83]

Let x = pounds of $12 per pound coffee

then

20-x = pounds of $9 per pound coffee

.

12x + 9(20-x) = 10(20)

12x + 180 - 9x = 200

3x + 180 = 200

3x = 20

x = 20/3

x = 6 and 2/3 pounds of $12 per pound coffee

.

Amount of $9 per pound coffee:

20-x = 20-20/3 = 60/3 - 20/3 = 40/3

or

13 and 1/3 pounds of $9 per pound coffee

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2 years ago

Subtract 73.9-8.801 =

Andrei [34K]

The answer for this question is 65.099 or when round off to two decimal places, it will be 65.10

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3 years ago

Read 2 more answers

Let a, b, c, and d be non-zero real numbers. If the quadratic equation ax(cx + d) = -b(cx+d) is solved for x, which of the follo

LiRa [457]

Answer:

Option d

Step-by-step explanation:

given that a, b, c, and d be non-zero real numbers.

$ax(cx + d) = -b(cx+d) \\acx^2+x(ad+bc)+bd =0$

we can factorise this equation by grouping

$(acx^2+xad)+)xbc+bd) =0\\ax(cx+d) +b(cx+d) =0\\(ax+b)(cx+d) =0$

Equate each factor to 0 to get

$x=\frac{-b}{a} , \frac{-d}{c}$

Ratio of one solution to another would be

$\frac{-b}{a} / \frac{-d}{c} \\=\frac{ad}{bc}$

So ratio would be ad/bc

Out of the four options given, option d is equal to this

So option d is right

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3 years ago

What is the decay factor of the exponential function<br> represented by the table?

bulgar [2K]

Given:

The table of values of an exponential function.

To find:

The decay factor of the exponential function.

Solution:

The general form of an exponential function is:

$y=ab^x$ ...(i)

Where, a is the initial value and $0$ is the decay factor and $b>1$ is the growth factor.

The exponential function passes through the point (0,6). Substituting $x=0,y=6$ in (i), we get

$6=ab^0$

$6=a(1)$

$6=a$

The exponential function passes through the point (1,2). Substituting $x=1,y=2,a=6$ in (i), we get

$2=6(b)^1$

$2=6b$

$\dfrac{2}{6}=b$

$\dfrac{1}{3}=b$

Here, $b=\dfrac{1}{3}$ lies between 0 and 1. Therefore, the decay factor of the given exponential function is $\dfrac{1}{3}$ .

Hence, the correct option is A.

8 0

3 years ago