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3 years ago

Solve the following inequalities algebraically. 6) x² + 10x + 9 < 0

Mathematics

1 answer:

Inessa05 [86]3 years ago

8 0

Answer:

x+10x+9<0

11x>-9

please don't forget to place the square

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Estimates show that there are 1.4x10^8 pet fish and 9.4x10^6 pet reptiles in the United States. How many pet fish and reptile pe

azamat

Answer:

There are total number of pet fish and reptile pets are $1.49\times 10^8$ .

Step-by-step explanation:

Number of pet fish are $1.4\times 10^8$ and the number of pet reptiles are $9.4\times 10^6$ .

It is required to find the total number of pet fish and reptile pets in the United States. It can be done by simply adding the above numbers such that total numbers are given by :

$T=1.4\times10^{8}+9.4\times10^{6}\\\\T=149400000\\\\T=1.49\times 10^8$

So, there are total number of pet fish and reptile pets are $1.49\times 10^8$ .

8 0

3 years ago

Which lines are perpendicular?

makkiz [27]

Given:

Line A: $y=\frac{1}{2} x+2$

Line B: $y=\frac{-1}{2} x+7$

Line C: $y=2 x+4$

Line D: $y=\frac{1}{2} x+\frac{5}{4}$

To find:

Which lines are perpendicular

Solution:

General equation of a line:

y = mx + c

where m is the slope and c is the y-intercept.

Slope of line A = $\frac{1}{2}$

Slope of line B = $\frac{-1}{2}$

Slope of line C = 2

Slope of line D = $\frac{1}{2}$

<em>Two lines are perpendicular if their slopes are negative reciprocal of one another.</em>

$$\Rightarrow m_1=\frac{-1}{m_2}$

$$\frac{-1}{2}=-(-2)=2$

Negative reciprocal of $\frac{-1}{2}$ is 2.

Therefore line B and line C are perpendicular lines.

6 0

4 years ago

Pls help will give brainly

mars1129 [50]

Answer:

-8

Step-by-step explanation:

Since x = -18, we use the top formula

f(-18) = (x-6)/3

= (-18-6)/3

= -24/3

= -8

7 0

3 years ago

Olivia goes shopping at the mall and buys a shirt that is on sale for 25% off. She also knows that the sales tax is 5%. If her f

Norma-Jean [14]

Answer: The shirt originally cost 125 dollars.

Step-by-step explanation: The shirt on sale is 25% off. So first multiply 25 by 5 and you get 125. So 125 is the originall price. Her final cost is 25 dollars. Last step: 125 divided by 5 equals 25 dollars.

3 0

4 years ago

The tires of a go-cart are 1 m in circumference. The tires revolve 15 times per second. What is the distance the go-cart travels

Likurg_2 [28]

Answer:

600 m

Step-by-step explanation:

The circumference of a tire is the distance around it. The distance around these tires is 1 m.

Since the tires revolve 15 times per second, this means every second the tires travel 15 m.

This means that in 40 seconds, the tires travel

15(40) = 600 m.

8 0

3 years ago