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3 years ago

9

The equation for the graph obtained when the graph of y= 1/x is compressed vertically by a factor of 0.25, translated 4 units ri

ght and then translated 3 units up

1 answer:

WARRIOR [948]3 years ago

3 0

Answer:

y= (0.25)1/x-4 +3

Step-by-step explanation:

You just multiply the compression by mx. then you would add the translation (-4 since it goes to the right). and +3 since it moves up on the y axis

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The line of symmetry of the parabola whose equation is y = ax^2 -4x + 3 is

alex41 [277]

Answer:

B. -1

Step-by-step explanation:

If we have a parabola whose equation is:

$y=ax^{2} +bx+c$

The line of symmetry is calculated as:

$x=\frac{-b}{2a}$

Now, we have the equation $y=ax^{2}-4x+3$ and the line of symmetry is $x=-2$

Where:

$b=-4\\c=3$

So, we can replace $b$ by -4 and $x$ by -2 and solve for $a$ using the following equation as:

$x=\frac{-b}{2a}\\-2=\frac{-(-4)}{2a}\\-2(2)a=4\\-4a=4\\a=-1$

It means that the equation of the parabola is equal to:

$y=-1x^{2}-4x+3$

7 0

3 years ago

Find exact values for sin θ and tan θ if cos θ = -4/9 and tan θ > 0.

julsineya [31]

Answer:

Part 1) $sin(\theta)=-\frac{\sqrt{65}}{9}$

Part 2) $tan(\theta)=\frac{\sqrt{65}}{4}$

Step-by-step explanation:

we have that

The cosine of angle theta is negative and the tangent of angle theta is positive

That means that the sine of angle theta is negative

step 1

Find $sin(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$cos(\theta)=-\frac{4}{9}$

substitute

$sin^{2}(\theta) +(-\frac{4}{9})^{2}=1$

$sin^{2}(\theta) +\frac{16}{81}=1$

$sin^{2}(\theta)=1-\frac{16}{81}$

$sin^{2}(\theta)=\frac{65}{81}$

square root both sides

$sin(\theta)=\pm\frac{\sqrt{65}}{9}$

Remember that

In this problem the sine of angle theta is negative

so

$sin(\theta)=-\frac{\sqrt{65}}{9}$

step 2

Find $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=-\frac{\sqrt{65}}{9}$

$cos(\theta)=-\frac{4}{9}$

substitute the given values

$tan(\theta)=-\frac{\sqrt{65}}{9}:-\frac{4}{9}=\frac{\sqrt{65}}{4}$

3 0

4 years ago

a factory bottles 511 bottles of juice in 7 minutes. find the factory's unit rate of bottles per minute

ELEN [110]

The answer would be 73. if you don't believe me then divide 511 by 7 or multiply 73 by 7. your welcome

6 0

3 years ago

Read 2 more answers

Does anyone know the bottom answer please

Rina8888 [55]

Answer:

6000000 divided by 10 = 600000

Step-by-step explanation:

Your answer should make sense

8 0

3 years ago

Factorize:<br>3a^2 + 10a + 3

sergey [27]

Answer: (3a + 1) (a + 3)

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of factorization.

It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.

<u>Solve:</u>

Given = 3a² + 10a + 3

<em>STEP ONE: separate 3a² into two terms</em>

3a

a

<em>STEP TWO: separate 3 into two terms</em>

3

1

<em>STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.</em>

3a 1

a 3

When cross multiply, 3a × 3 + 1 × a = 10a

<em>STEP FOUR: combine the expression horizontally to get the final factorized expression.</em>

3a ⇒ 1

a ⇒ 3

(3a + 1) (a + 3)

Hope this helps!! :)

Please let me know if you have any questions

7 0

3 years ago