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Citrus2011 [14]
3 years ago
7

What is 1/7+ x = 2/3x

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0
1/7 + x = 2/3x
1/7 = 2/3x-x
1/7 = 2/3x - 1x
1/7 = -1/3x
-3/7 = x
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Write 2350 million in standard form?
Elis [28]

Answer:

2.35 × 10^(9)

Step-by-step explanation:

2350 million can also be written as;

2350,000,000

Writing that expression in standard form gives;

2.35 × 10^(9)

6 0
2 years ago
Read 2 more answers
f(x)=x^2; vertical shrink by a factor of 1/2 and a reflection in the y-axis, followed by a translation 1 unit down​
NeX [460]

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

Step-by-step explanation:

Lets revise:

1. The vertical shrink

A vertical shrinking is the squeezing of the graph toward the x-axis.

if 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically

shrunk by multiplying each of its y-coordinates by k

2. The reflection

If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

3. Vertical translation

If the function f(x) translated vertically up  by m units, then its image

is g(x) = f(x) + m

If the function f(x) translated vertically down  by m units, then its image

is g(x) = f(x) - m

Now let us solve the problem

∵ f(x) = x²

∵ f(x) shrunk by a factor of \frac{1}{2}

∴ The image of f(x) = \frac{1}{2} x²

∵ The image of f(x) reflected across y-axis

∴ The sign of x will change

∴ The new image of f(x) = \frac{1}{2} (-x)²

∵ The new image of f(x) translated 1 unit down

∴ We will subtract the new image of f(x) by 1

∴ The last image of f(x) is g(x) = \frac{1}{2} (-x)² - 1

<em>V.I.Note:</em>

(-x)² = x² because even exponents reject the negative sign

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

The attached graph for more understand

Learn more:

you can learn more about transformation in brainly.com/question/2415963

#LearnwithBrainly

4 0
3 years ago
Help please, I attached the question. Is it a!? <br> 
AVprozaik [17]

Answer:

A

Step-by-step explanation:

Recall that for a quadratic equation of the form:

0=ax^2+bx+c

The number of solutions it has can be determined using its discriminant:  

\Delta = b^2-4ac

Where:

  • If the discriminant is positive, we have two real solutions.
  • If the discriminant is negative, we have no real solutions.
  • And if the discriminant is zero, we have exactly one solution.

We have the equation:

2x^2+5x-k=0

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.

In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

b^2-4ac=0

Substitute:

(5)^2-4(2)(-k)=0

Solve for <em>k</em>. Simplify:

25+8k=0

Solve:

\displaystyle k = -\frac{25}{8}

Thus, our answer is indeed A.

3 0
2 years ago
Read 2 more answers
Assume that y varies directly with x. If y=9 when x=−3, find x when y=6.
Dafna1 [17]

Answer:-2

Step-by-step explanation:

8 0
2 years ago
2 trig ratios missing sides and angels
ivanzaharov [21]

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos66° = \frac{adjacent}{hypotenuse} = \frac{13}{x} ( multiply both sides by x )

x × cos66° = 13 ( divide both sides by cos66° )

x = \frac{13}{cos66} ≈ 32.0 ( to the nearest tenth )

8 0
2 years ago
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