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3 years ago

The function g(x) =x^2 is transformed to obtain function h:

Mathematics

1 answer:

Vlada [557]3 years ago

8 0

Answer:

B. The graph of his the graph of g vertically shifted up 1 unit.

Step-by-step explanation:

$Given:-$

$g(x)=x^2$

$h(x)=g(x)+1$

$so,h(x)=x^2+1$

$f(x)=x^2$

$vertical ~ shift~ up ~1 ~ unit$

<u>----------------------------</u>

hope it helps...

have a great day!!

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A bag contains 8 red marbles, 3 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probabi

joja [24]

Answer:

Step-by-step explanation:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

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3 years ago

Which expressions are equivalent to -5x - 15 + 25x - 30? Choose ALL that apply. −5(2 − 3+52 – 6) −5(2 – 5x + 9) −5(2+3 – 5x – 6)

timurjin [86]

The correct expression that is equivalent to the algebraic expression -5x - 15 + 25x - 30 is -5(-4x + 9).

<h3>How to determine the equivalent expression</h3>

We shall simplify the given algebraic expression by carrying out basic mathematics operations as follows;

Given: -5x - 15 + 25x - 30

we group like terms together

25x - 5x - 15 - 30

20x - 45

the number 5 is a common factor of 20x and 45, so we have that;

5 × 4x - 5 × 9

by factoring out 5

5(4x - 9)

also;

5(4x - 9) = -5(-4x + 9)

Therefore, -5(-4x + 9) is an equivalent expression to the algebraic expression -5x - 15 + 25x - 30

Learn more about equivalent expression here: brainly.com/question/24734894

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1 year ago

Slope -3 passing through (2,0)

crimeas [40]

Answer:

The Slope Intercept form of the equation is: y = -3x + 6

Step-by-step explanation:

Given: m = -3

Given point: (2, 0)

Use the Point Slope form of the equation:

y - y1 = m(x - x1)

y - 0 = -3(x - 2)

y = -3x + 6

Hope this helps!! Have an Awesome Day!! :-)

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3 years ago

Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment

vazorg [7]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &12000\\
r=rate\to 1.5\%\to \frac{1.5}{100}\to &0.015\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{per year, thus once}
\end{array}\to &1\\
t=years\to &2
\end{cases}
\\\\\\
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4 years ago

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Iteru [2.4K]

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