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vlabodo [156]
3 years ago
6

What is the vertex of this quadratic equation? Y=2(x-2)^2+5

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0

Answer:

vertex = (2, 5 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 2(x - 2)² + 5 ← is in vertex form

with (h, k) = (2, 5 ) ← vertex

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Maru [420]

Answer:

By measuring and observating

8 0
3 years ago
As an incoming college freshman, Tina received a 10-year $9,900 Federal Direct
Ksju [112]

The amount charged on the loan which is the loan interest rate, increases as the time after the initial amount is credited into the account increases.

  • The interest on the Federal Direct Unsubsidized Loan after 4 years 6 months is <u>$1,911.195</u>

Reasons:

The given parameter are;

Loan amount, the principal, P = $9,900

Duration of the loan = 10 years

Loan interest rate, R = 4.29%

Required:

The amount of interest that will accrue while she is still in school and over the 6-months grace period for the freshman loan.

Solution:

Based on a similar question on an online source, we have;

Interest, I = P × R × T

Where;

T = The time = The time the freshman is in school + 6 months

Therefore, normally, we have;

T = 4 years + 6 months = 4.5 years

R = 4.29% = 0.0429

Therefore;

Interest, I = 9,900 × 0.0429 × 4.5 = 1911.195

The interest that will accrue while she is still in school and over the 6-months grace period for the loan,<em> I</em> = <u>$1,911.195</u>

Learn more about the interest rate here:

brainly.com/question/1368015

6 0
2 years ago
What is the ratio of 6 and 45​
stepan [7]
I’m having a hard time understanding your question
8 0
3 years ago
Read 2 more answers
Which is the correct operation for 45-3x5
Sliva [168]
You want to use PEMDAS for this.
<em>P</em>= arenthesis ( )
<em>E</em>= xponents a²
<em>M</em>= ultiply ×
<em>D</em>= ivide ÷
<em>A</em>= dd +
<em>S</em>= ubtract -

What you want to do is go in order and ask yourself as you go.
Are there any <u><em>Parenthesis</em></u>? <em>No
</em>Are there any <u><em>Exponents</em></u><em />? <em>No</em>
Is there any <em /><u><em>Multiplication</em></u><em />? <em>Yes
</em>
<em />Is there any <em><u>Division</u></em>? <em>No
</em>
<em />Is there any <em><u>Addition</u></em>? <em>No
</em>
<em />Is there any <em><u>Subtraction</u></em><u />? <em>Yes</em><em>
</em>
<em />Thats when you stop and you multiply what you have in the PEMDAS. Top to bottom. 3x5 which gives you 15. Now you equation is 45-15. Thats when you subtract and you get your answer which is 30.
6 0
3 years ago
Find the equation of a line that goes through the points (-3,5) and (5,-11)
Rasek [7]

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-11}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-3)}}}\implies \cfrac{-16}{5+3}\implies \cfrac{-16}{8}\implies -2

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5-2(x+3)\implies y-5=-2x-6\implies y=-2x-1

3 0
2 years ago
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