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2 years ago

Find the Vertex (h,k) of y=2(x−3)2+1

Mathematics

2 answers:

Agata [3.3K]2 years ago

6 0

Answer:

Note: in vertex form, there is a negative sign in front of the h , so you must take whatever h value there is an make is opposite.

Nookie1986 [14]2 years ago

4 0

Answer:

y=2(x-3)^(2)+1

Step-by-step explanation:

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Fill in the blank to make equivalent rational expressions?

laiz [17]

The answer is -49 because you multiply by 7.

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3 years ago

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At his last track meet, Eli ran the 400-meter dash in 54 seconds. His friend Kimberly bet him that he couldn't run a whole kilom

Trava [24]

Answer:

Eli has to run for 2.25 minutes at this pace to win the bet.

Step-by-step explanation:

At his last track meet, Eli ran the 400-meter dash in 54 seconds.

So, the speed of Eli's run is $\frac{400}{54} \times 60 = 444.44$ meters per minute.

Now, if Eli is determined to run a whole kilometer with the same speed, then it will take Eli to run 1 kilometer within $\frac{1000}{444.44} = 2.25$ minutes.

Hence, Eli has to run for 2.25 minutes at this pace to win the bet. (Answer)

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3 years ago

Which decimal is equivalent to 16/100 ?

choli [55]

Just divide 16 by 100: 16/100=0.16, So, the answer is C. 0.16

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3 years ago

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Roger has 2 1/2 cups of peanut butter. A recipe for a loaf of bread requires 3/4 cups of butter. How many loaves of bread can he

Sergio [31]

Answer:

3 loaves of bread

Step-by-step explanation:

We must divide $2\frac12$ by $\frac34$ and take an integer part of this dividing.

$2\frac12:\frac34=\frac52:\frac34=\frac52\cdot\frac43=\frac{20}{6}=\frac{10}3=3\frac13$

The integer part of a mixed fraction $3\frac13$ is 3, and this is the answer.

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3 years ago

The sum of two numbers is 75. The second number is 3 less than twice the first

Mandarinka [93]

Answer:

$\large{\textbf{The two numbers are: 26 and 49}.\\}$

Step-by-step explanation:

$\large{\textup{assume the two numbers are $x$ and $y$.}}\\\large{\textup{The given sentences are written in mathematical terms as follows:}\\$$ x + y = 75 \hspace{25mm} (1)$$ $$ y = 2x - 3 \hspace{25mm} (2) $$ \\\textup{Substituting $(2)$ in $(1)$,}\\\begin{align*} & \implies x + 2x - 3 = 75 \\& \implies 3x = 78 \\& \implies x = 26\end{align*}\textup{Substituting $x$ in $(1), \hspace{5mm} y = 49$} }$

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3 years ago