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lyudmila [28]
3 years ago
5

F(x) = x Horizontal stretch by a factor of 2 Shift left 3 units . Shift up 5 units

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

Answer:

f(x) = 0.5(x + 3)^2 + 5.

Step-by-step explanation:

The horizontal stretch is given by multiplying by 1/2 or 0.5:

f(x) = 0.5x^2

Now a shift of 3 to the left  gives f(x) = 0.5(x + 3)^2.

5 units up gives 0.5(x + 3)^2 + 5.

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The value of (-8/13×26/-3) ​
ahrayia [7]

Answer:

<h2>5.33</h2>

Step-by-step explanation:

Given the expression -8/13×26/-3, getting the equivalent expression means multiplying the two fractions -8/13 and 26/-3 together as shown;

\frac{-8}{13} * \frac{26}{-3}\\ \\= \frac{-8*26}{13*-3}\\ \\multiplying\ out \ the\  numerator\ and\ denominator;\\\\= \frac{-208}{-39} \\\\cancelling out the negative sign we will have;\\\\= \frac{208}{39}\\\\= 5.33\\The\ resulting\ value\ is\ 5.33

3 0
3 years ago
What is cos theta when sin theta = sqrt 2/3
Fittoniya [83]

<u>Answer:</u>

Value of cosθ is ±√7/3 .

<u>Step-by-step explanation:</u>

According to the Question , value of :

\red{\implies sin\theta = \dfrac{\sqrt2}{3}}

And , we know the identity of sine and cosine as ,

\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }

<u>Using</u><u> </u><u>,</u><u> </u><u>this</u><u> </u><u>ident</u><u>ity</u><u> </u><u>we</u><u> </u><u>have</u><u> </u><u>;</u><u> </u>

\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}

3 0
2 years ago
What are punctuation marks used to set off words that define or explain another word?
levacccp [35]

Answer:

parentheses

Step-by-step explanation:

Hope this helps <3

4 0
3 years ago
The amount of money on account it makes M for working H hours can be represented by the equation m = 29.4H what is the constant
ELEN [110]
29.4H is the equation
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2 years ago
Write an equation of the line that passes through (8.1) and is perpendicular to the line 2y + 4x = 12​
schepotkina [342]

Answer:

I think you can just say about a blueprint and make it up.

Step-by-step explanation:

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