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3 years ago

-8x + 2x -16 < -5x + 7x could you explain the answer

Mathematics

1 answer:

tigry1 [53]3 years ago

3 0

Answer:

x > -2

Step-by-step explanation:

First, you simplify both sides of the inequality by combining like terms

$-8x + 2x -16 < -5x + 7x$

$-6x - 16 < 2x$

Then, you add 6x to both sides in order to isolate x (bring all the Xs to one side)

$-6x - 16 + 6x < 2x + 6x$

$-16 < 8x$

Lastly, you divide by 8 in order to cancel out 8x solve for x. Since 8 is not a negative number, you DO NOT flip the sign.

$\frac{-16}{8} < \frac{8x}{8}$

$-2 < x$

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When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect?

Alex787 [66]

Answer:

The original function is an exponential growth function, and so is a new function, but it will be translated in to 2 units.

Step-by-step explanation:

The first function will have a horizontal asymptote at y = 0 and the second function will have a horizontal asymptote at y = 22.

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3 years ago

What is the discriminant of 9х2 + 2 = 10x?

vredina [299]

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5 0

3 years ago

The spiders and ants in Aunt Mellys attic have a total of 152 legs and 22 heads. Spiders have 8 legs and ants have 6 legs. How m

Scorpion4ik [409]

Answer:

10 spiders and 12 ants

Step-by-step explanation:

You need to create two equations

s = # of spiders

a = # of ants

s + a = 22 heads

since each spider and ant has one head

8s + 6a = 152 legs

since every spider has 8 legs and every ant has 6

s + a = 22 can be turned into s = 22 - a

now use substitution

8(22 - a) + 6a = 152

176 - 8a + 6a = 152

176 - 2a = 152

24 = 2a

a = 12

now that you have the number of ants you can solve for the number of spiders

s + a = 22

s + 12 = 22

s = 10

6 0

2 years ago

to climb a rock wall at the fair,you must have 5 tickets.if each ticket costs$1.50,how much does it cost to climb the rock wall

Gelneren [198K]

Answer:

7.50

Step-by-step explanation

Multiply 1.50 by 5 and you get 7.50.

5 0

3 years ago

doug has 45 coins worth $9.00. The coins are all quarters or dimes. How many of each type of coin dose doug have?

Kaylis [27]

Doug have 30 quarters and 15 dimes.

Step-by-step explanation:

Given,

Number of coins = 45

Worth of coins = $9.00 = 9.00*100 = 900 cents

Each quarter = 25 cents

Each dime = 10 cents

Let,

x be the number of quarters

y be the number of dimes

According to given statement;

x+y=45 Eqn 1

25x+10y=900 Eqn 2

Multiplying Eqn 1 by 10

$10(x+y=45)\\10x+10y=450\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(25x+10y)-(10x+10y)=900-450\\25x+10y-10x-10y=450\\15x=450$

Dividing both sides by 15

$\frac{15x}{15}=\frac{450}{15}\\x=30$

Putting x=30 in Eqn 1

$30+y=45\\y=45-30\\y=15$

Doug have 30 quarters and 15 dimes.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago