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3 years ago

Given that

Mathematics

1 answer:

Blizzard [7]3 years ago

5 0

Answer:

(a-2b)/4

Step-by-step explanation:

log 9 (sqrt(f)/g) = 0.5*log 9 (f(x)) - log 9 (g(x))= 0.5*0.5*log 3 f(x) - 0.5*log 3 g(x) = a/4 - b/2=(a-2b)/4

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Sklyer has 15 less than twice as many customers as when she started selling newspapers. She now has 155 customers. How many did

arlik [135]

155 = 2x -15
170 = 2x
85 = x

She had 85 when she first started.

8 0

3 years ago

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Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)

aniked [119]

Answer:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

$ax^2+bx+c$ (1)

You have the following polynomial:

$3x^2-10x+8$ (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

$x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

$x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}$

Then, the factorization of the polynomial is:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

5 0

3 years ago

Write the following function in standard form. Show your work. y=(x-5)(x+5)(2x-1)

Gnesinka [82]

Answer:

$\boxed{y=4x^3-x^2-50x+25}$

Step-by-step explanation:

The given function is

$y=(x-5)(x+5)(2x-1)$

Observe that, the first two factors are from difference of two squares.

$\Rightarrow y=(x^2-5^2)(2x-1)$

$\Rightarrow y=(x^2-25)(2x-1)$

We expand the brackets using the distributive property to obtain;

$\Rightarrow y=2x^2(2x-1)-25(2x-1)$

$\Rightarrow y=4x^3-x^2-50x+25$

The above function is now in standard form, since the terms are arranged in descending powers of $x$ .

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3 years ago

jason went to an arcade to play video games. he paid $2 for every 11 tokens he bought. he spent a total of $16 on tokens. which

SVEN [57.7K]

Answer:

Step-by-step explanation:

Since there are two types of values here: tokens and dollars, we will need to use the same value across numerators and denominators in the ratio.

Choice D has 11 tokens over $2 equals to t tokens over $16. In both fractions the numerator is tokens and denominator is dollars.

6 0

3 years ago

Help me ASAP please Solve for x: 2/5 (x-4) = 2x. -8 -1/2 1 -1

kicyunya [14]

Answer: X= -1

Step-by-step explanation:

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3 years ago

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