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2 years ago

Absolute value inequalities. 10-4|9y-10|<-94

1 answer:

5 0

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:y4\:\\ \:\mathrm{Decimal:}&\:y4\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-\frac{16}{9}\right)\cup \left(4,\:\infty \:\right)\end{bmatrix}$

Step-by-step explanation:

$10-4\left|9y-10\right|$

$10-4\left|9y-10\right|-10$

$-4\left|9y-10\right|$

$\left(-4\left|9y-10\right|\right)\left(-1\right)>\left(-104\right)\left(-1\right)$

$4\left|9y-10\right|>104$

$\frac{4\left|9y-10\right|}{4}>\frac{104}{4}$

$\left|9y-10\right|>26$

$9y-1026$

$y4$

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Solve the equation 2(x-4)=-22

Tcecarenko [31]

Hello Lexi!

Answer: ⇒⇒⇒⇒⇒⇒ $x=-7$

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Step-by-step explanation:

First you had to divide by 2 from both sides of equation.

$\frac{2(x-4)}{2}=\frac{-22}{2}$

Simplify.

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

$\frac{2(x-4)}{2}$

Divide by the numbers.

$\frac{2}{2}=1$

$=x-4$

$\frac{-22}{2}=-11$

Apply the fraction rule.

$\frac{-22}{2}$

$=-\frac{22}{2}$

Then you divide by the number.

$\frac{22}{2}=11$

$=-11$

$x-4=-11$

Add by 4 from both sides of equation.

$x-4+4=-11+4$

Simplify it should be the correct answer.

$x=-7$

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Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

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6 0

2 years ago

Read 2 more answers

f the price charged for a candy bar is p(x) cents, where p (x )equals 162 minus StartFraction x Over 10 EndFraction , then x t

andreev551 [17]

Answer:

a. 1620-x^2

b. x=810

c. Maximum value revenue=$656,100

Step-by-step explanation:

(a) Total revenue from sale of x thousand candy bars

P(x)=162 - x/10

Price of a candy bar=p(x)/100 in dollars

1000 candy bars will be sold for

=1000×p(x)/100

=10*p(x)

x thousand candy bars will be

Revenue=price × quantity

=10p(x)*x

=10(162-x/10) * x

=10( 1620-x/10) * x

=1620-x * x

=1620x-x^2

R(x)=1620x-x^2

(b) Value of x that leads to maximum revenue

R(x)=1620x-x^2

R'(x)=1620-2x

If R'(x)=0

Then,

1620-2x=0

1620=2x

Divide both sides by 2

810=x

x=810

R(x)=1620x-x^2

R(810)=1620x-x^2

=1620(810)-810^2

=1,312,200-656,100

=$656,100

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3 years ago

A store has ergonomic chairs on sale for 10% off of the regular price. Cayley finds a chair she wants to buy that has an origina

KatRina [158]

I think it 317.36
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2 years ago

in the figure, < 3 =~ < 6. explain how you know that all four pairs of corresponding angles are congruent. (if you answer

balandron [24]

Answer:

Thanks for the points! Merry Christmas!

Step-by-step explanation:

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2 years ago

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Solve 17x - 2 = 7x + 8

romanna [79]

17x-2=7x+8

We simplify the equation to the form, which is simple to understand
17x-2=7x+8

We move all terms containing x to the left and all other terms to the right.
+17x-7x=+8+2

We simplify left and right side of the equation.
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We divide both sides of the equation by 10 to get x.
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2 years ago

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