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2 years ago

Simplify the following expression. -4(2x +6) +x2 -9

Mathematics

2 answers:

kompoz [17]2 years ago

7 0

Step-by-step explanation:

Use the Distributive Property:

$-8x-24+x^2-9$

Combine Like-Terms and correctly format:

$x^2-8x-33$

nevsk [136]2 years ago

6 0

Answer:

x² - 8x - 15

Step-by-step explanation:

-4(2x + 6) + x² - 9

= -8x - 24 + x² - 9

= x² - 8x - 33

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Three hikers are dividing the costs of a hiking trip evenly. They bought two permits that cost $15 each, three tram tickets that

cestrela7 [59]

Each hiker owes $41 or 4100 cents for the hiking trip.

Explanation

Cost of each permit is $15. So, the cost of two permits will be: $(\$15*2)= \$30$

Cost of each tram ticket is $19. So, the cost of three tickets will be: $(\$19*3)=\$ 57$

Cost of one can of bear spray is $36.

So, the total cost of the hiking trip $=\$30+\$57+\$36=\$123$

As the three hikers are dividing the total costs of the trip evenly, so each hiker owes $=\frac{\$123}{3}=\$41$ or 4100 cents.

3 0

3 years ago

The endpoints of the diameter of a circle are (0,0 and (0,-6). what is the area of the circle?

makvit [3.9K]

Answer: $9\pi$

Step-by-step explanation:

DIAMETER length = 6

radius length = 3

Area of the circle = $\pi r^{2} = 9\pi$

5 0

2 years ago

which polynomials are in standard form? A. t^4-1 B. -2t^2+3t+4 C. 4t-7 D. None of The Above Choose all answers that apply

Nikitich [7]

Answer:

B. -2t^2+3t+4

Step-by-step explanation:

The standard form as

ax^2 + bx + c

Option B meets that requirement, even though it has a '-' in front

5 0

3 years ago

Use properties of rational numbers to multiply the following.

SashulF [63]

-126.....................................................

4 0

3 years ago

A meteorologist is studying the speed at which thunderstorms travel. A sample of 10 storms are observed. The mean of the sample

dezoksy [38]

Answer:

The 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

Step-by-step explanation:

Given information:

Sample size = 10

Sample mean = 12.2 mph

Standard deviation = 2.4

Confidence interval = 95%

At confidence interval 95% then z-score is 1.96.

The 95% confidence interval for the true mean speed of thunderstorms is

$CI=\overline{x}\pm z*\frac{s}{\sqrt{n}}$

Where, $\overline{x}$ is sample mean, z* is z score at 95% confidence interval, s is standard deviation of sample and n is sample size.

$CI=12.2\pm 1.96\frac{2.4}{\sqrt{10}}$

$CI=12.2\pm 1.487535$

$CI=12.2\pm 1.488$

$CI=[12.2-1.488, 12.2+1.488]$

$CI=[10.712, 13.688]$

Therefore the 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

4 0

3 years ago