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2 years ago

Solve the inequality 2x - 5 \le -x +12. Give your answer as an interval.

1 answer:

6 0

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{17}{3}\:\\ \:\mathrm{Decimal:}&\:x\le \:5.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{17}{3}]\end{bmatrix}$

Step-by-step explanation:

$2x-5\le \:-x+12$

$2x\le \:-x+17\\$

$2x+x\le \:-x+17+x$

$3x\le \:17$

$\frac{3x}{3}\le \frac{17}{3}$

$x\le \frac{17}{3}$

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Mr. Garza's family is attending the local soccer game. He has 30 to spend on food and drinks . The cost of chips is $2 and the c

enyata [817]

Answer:

Step-by-step explanation:

let x and y be the number of chip and pretzel bags respectively : 4x%2B2y%3 C=20 : if x=1 then 4%281%29%2B2y%3C=20--->{{2y<=16}}}--->y%3C=8 : if x=3 then 4%283%29%2B2y%3C=20--->{{2y<=8}}}--->y%3C=4 : so chips 1 and pretzels 8 : chips 3 and pretzels 4.

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2 years ago

Directions:Use the product rule to simplify the following monomials.

nadezda [96]

Answer: $-12m^3n^3$

Step-by-step explanation:

$\frac{1}{4}\left(8mn\right)\left(-6m^2n^2\right)$

$=-\frac{1}{4}\cdot \:8mn\cdot \:6m^2n^2$

$=-\frac{1}{4}\cdot \:48mnm^2n^2$

$=-\frac{1}{4}\cdot \:48m^3nn^2$

$-\frac{1}{4}\cdot \:48m^3n^3$

$=-12m^3n^3$

6 0

2 years ago

Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False

olga nikolaevna [1]

Answer:

No, (false). The question I assume was: $(3*8)*1=3*(8.1)$

Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: The result of step No. 1: * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = $\frac{81}{10}$ = $\frac{81}{10}$

a) Write down the decimal 8.1 divided by 1: 8.1 = $\frac{81}{1}$

b) Multiply both top and bottom by 10 for every number after the

decimal point. (For example, if there are two numbers after the decimal

point, then use 100, if there are three then use 1000, etc.)

$\frac{8.1}{1}$ = $\frac{81}{10}$

Note: $\frac{81}{10}$ is called a decimal fraction.

c) Simplify and reduce the fraction

$\frac{81}{10} = \frac{81*1}{10*1} = \frac{81}{10}$

4. Multiple: 3 * 8.1 = $\frac{3*81}{1*10}$ = $\frac{243}{10}$

Multiply both numerators and denominators. Result fraction keep to lowest

possible denominator GCD(243, 10) = 1. In the next intermediate step the

fraction result cannot be further simplified by canceling.

In words - three multiplied by eighty-one tenths = two hundred forty-three

tenths.

5. Compare: The result of step No. 2 vs The result of step No. 4: = 24 vs $\frac{243}{10}$ = $\frac{24}{1}$ vs $\frac{243}{10}$ = $\frac{24*10}{1*10}$ vs $\frac{243}{10}$ = $\frac{240}{10}$ vs $\frac{243}{10}$ = 240 vs 243 = No

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3 years ago

Examine the table of equivalent ratios and complete this statement. For 5 servings, the ratio of cups of water to cups of juice

shepuryov [24]

Answer:

Step-by-step explanation: This is five-fold proportion

The first ratio gives solution namely

We will write general proportion

a:b= c:d= e:f = g:h= i:j = k

According to this the first ratio gives coefficient k

When we divide 24/2 =12 our coefficient k=12

In the second ratio we will multiply 3 with 12 and get 36.

In the third ratio we will multiplu 5.5 with 12 and get 66.

In the fourth we will divide 108 with 12 and get 9.

In the fifth we will multiply 15 with 12 and get 180.

Finally the ratio is 24:2=36:3=66:5.5=108:9=180:15

3 0

2 years ago

Read 2 more answers

Long Division: (3x^4-8x^3-x^2+9x+5) / (x-2) pleaseee answer this

Drupady [299]

3x⁴ = 3x³ • x, and

3x³ (x - 2) = 3x⁴ - 6x³

Subtract this from the numerator to get a remainder of

(3x⁴ - 8x³ - x² + 9x + 5) - (3x⁴ - 6x³) = -2x³ - x² + 9x + 5

-2x³ = -2x² • x, and

-2x² (x - 2) = -2x³ + 4x²

Subtract this from the previous remainder to get a new remainder of

(-2x³ - x² + 9x + 5) - (-2x³ + 4x²) = -5x² + 9x + 5

-5x² = -5x • x, and

-5x (x - 2) = -5x² + 10x

Subtract this from the last remainder to get a new one of

(-5x² + 9x + 5) - (-5x² + 10x) = -x + 5

-x = -1 • x, and

-1 (x - 2) = -x + 2

This gives a new remainder of

(-x + 5) - (-x + 2) = 3

3 does not divide x, so we're done.

So, we have

(3x⁴ - 8x³ - x² + 9x + 5) / (x - 2) = 3x³ - 2x² - 5x - 1 + 3/(x - 2)

7 0

2 years ago