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Monica [59]
3 years ago
14

The function h(x)= x^2+3 and g(x)= x^2-6. If g(x) = h(x) +k, what is the value of k

Mathematics
2 answers:
trapecia [35]3 years ago
8 0

Answer:

k = - 9

Step-by-step explanation:

h(x) = x² + 3

g(x) = x² - 6

g(x) = h(x) + k

x² - 6 = x² + 3 + k

-6 - 3 = k

k = - 9

mel-nik [20]3 years ago
5 0

Answer:

<h2>k = -9</h2>

Step-by-step explanation:

h(x)=x^2+3\\\\g(x)=x^2-6\\\\g(x)=h(x)+k\qquad(*)\\\\\text{Substitute to (*)}:\\\\x^2-6=x^2+3+k\qquad\text{subtract}\ x^2\ \text{from both sides}\\\\x^2-x^2-6=x^2-x^2+3+k\\\\-6=3+k\qquad\text{subtract 3 from both sides}\\\\-6-3=3-3+k\\\\-9=k\to k=-9

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faust18 [17]

Answer:

To divide 0.8 divided by 20 she needs to annex a 0 in the hundredths place. So, the quotient is 0.04, and Carly is correct

3 0
3 years ago
Given that the square root function is only defined for non-negative numbers, define the domain of f in terms of c. {x | ≥ 0}
diamong [38]

Answer:

c:(0;+∞)

Step-by-step explanation:

Given the situation, that the square root function only allows you values above than "0" (not equal neither), then you must consider that every value above 0 belongs to it's domain.

Then, to express the domain, going from your most negative number, to your most possitive number (in this case all positive number, thats why we use infinite)  you must use the parenthesis wich means, you are not considering the value (in this case 0), but the value right after it, to the next value that as we said before, is inifinite. Also remember, that when you express a domain, and use infinite (despite it's going to negative way, or possitive way, it also goes with parenthesis).

5 0
3 years ago
Which expression is equivalent to -8?
torisob [31]

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7 0
3 years ago
Can someone help me with E please I don’t know what operation to use
gtnhenbr [62]
The first question asks who sold more rolls. So start with figuring out how many Christie sold.
5 total - 1 2/3 left = 3 1/3 sold
you can convert the numbers to improper fractions with the same denominator. Like this:
5 x (3/3) - (3+2)/3
15/3 - 5/3 = 10/3
10/3 = 3 1/3

So now we know Christie sold more because 3 1/3 dozen is more than 2 1/2 dozen.

The part asks how many more.. Subtract the amounts the two girls sold.

3 1/3 - 2 1/2
10/3 x (2/2) - 5/2 x (3/3)
20/6 - 15/6 = 5/6

Christie sold 5/6 dozen more rolls. A dozen is 12 rolls so if you wanted to go further you just multiply 12 x 5/6 = 10 rolls
4 0
3 years ago
Help solving this problem, the second problem not the third
yawa3891 [41]

Given:

1 Van and 4 buses filled with 195 students.

1 Van and 5 buses filled with 241 students.

Let x and y be the number of students in Van and number of students in bus.

\begin{gathered} x+4y=195\ldots\text{ (1)} \\ x+5y=241\ldots\text{ (2)} \end{gathered}

Subtract equation (1) from equation (2)

\begin{gathered} x+5y-x-4y=241-195 \\ y=46 \end{gathered}

Substitute y=46 in equation (1)

\begin{gathered} x+4(46)=195 \\ x+184=195 \\ x=195-184 \\ x=11 \end{gathered}

Number of students that van can carry is 11.

Number of students that bus can carry is 46

7 0
1 year ago
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