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3 years ago

Y=x^2-2x-8

Mathematics

2 answers:

gizmo_the_mogwai [7]3 years ago

6 0

Answer: vertex- (1,-9)

x intercepts- (4,0) (-2,0)

y intercepts- (0,-8)

axis of symmetry- x-1

minimum

Step-by-step explanation:

Lostsunrise [7]3 years ago

5 0

1. (1,-9)

2. (4,0) or (-2,0)

3. (0,-8)

4. x=1

5. -9 or 1

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Tan^4x-sec^4x=1-2 sec^2(x) verify

olga nikolaevna [1]

Tan⁴x - sec⁴x = 1 - 2sec²x

tan²x = sec²x - 1

tan⁴x - sec⁴x = 1 - 2sec²x
(tan²x)² - sec⁴x = 1 - 2sec²x
(sec²x - 1)² - sec⁴x = 1 - 2sec²x

(sec²x)² - 2 * sec²x + 1 - sec⁴x = 1 - 2sec²x
sec⁴x - 2 sec²x + 1 - sec⁴x = 1 - 2sec²x

sec⁴x can be cancelled:
- 2 sec²x + 1 = 1 - 2sec²x

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6 0

3 years ago

A dog weighs two pounds less than three times the weight of a cat. The dog also weights twenty-two more pounds than the cat. Wri

8090 [49]

Answer:

Weight of dog: 34 pounds,

Weight of cat: 12 pounds.

Step-by-step explanation:

Let d represent weight of dog and c represent weight of cat.

We have been given that a dog weighs two pounds less than three times the weight of a cat.

3 times weight of cat: $3c$

We can represent the given information in an equation as:

$d=3c-2...(1)$

We are also told that the dog also weights twenty-two more pounds than the cat. We can represent the given information in an equation as:

$d=c+22...(2)$

Equate both equations:

$3c-2=c+22$

$3c-c-2=c-c+22$

$2c-2=22$

$2c-2+2=22+2$

$2c=24$

$\frac{2c}{2}=\frac{24}{2}$

$c=12$

Therefore, the weight of cat is 12 pounds.

Substitute $c=12$ in equation (2)

$d=c+22$

$d=12+22$

$d=34$

Therefore, the weight of dog is 34 pounds.

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4 years ago

Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving

Zarrin [17]

Answer: The function that models the distance they drive is

f(x) = 50x + 20 where x is the time in hours

reasonable domain: 0 ≤ x ≤ 3

Step-by-step explanation:

examples:

95 = 50(1.5) + 20 After driving another hour and a half, they will have driven a total of 95 miles.

120 = 50(2) + 20 This means that after 2 more hours they will reach their destination.

There is a little ambiguity in the question. The function could be written as if they are starting out. f(x) = 50t

20 = 50(.4) At 50 mph it took .4 hours to go 20 miles.

120 = 5(2.4) The whole trip took 2.4 hours.

7 0

3 years ago

A youth ice hockey game has 3 periods that are each 20 minutes of Colin plays 12 minutes each. Which ratio shows Collins playing

Sergeu [11.5K]

3 periods....20 minutes each.....3 * 20 = 60 total minutes playing time
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Collins playing time to total playing time = 36/60 reduces to 9/15 or 9:15 or 9 to 15 <===

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4 years ago

Determine whether the equation is always, sometimes, or never true. 2/3 x + 4 = 2x

Anarel [89]

Answer:

Always true

Step-by-step explanation:

Given

$\frac{2}{3}x + 4 = 2x$