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Shalnov [3]
3 years ago
9

Need these 2 answered. 50 points! Please Show your work, Thanks! :)

Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0

Answer:

1) A

2) C

Step-by-step explanation:

Question 1)

We have the function:

y=2(x+2)^2-3

Notice that this is a quadratic function in the vertex form:

y=a(x-h)^2+k

Where (h, k) is the vertex point, a is the leading co-efficient, and h is also the axis of symmetry.

Let's identify these characteristics first. Our leading co-efficient a is 2.

And our vertex is (-2, -3). It is <em>not</em> (2, -3) because (x+2) is the same as (x-(-2)).

We want to find the minimum or maximum value of our function, as well as the domain and range.

First, by looking at our leading co-efficient, which is 2, we can see that it's positive. Therefore, our parabola curves upwards.

Therefore, we will have a <em>minimum</em> value. And this minimum value will be our vertex.

Our vertex is (-2, -3). Therefore, our <em>minimum</em> value is at y=-3.

The domain of all quadratics is always all real numbers.

For the range, we refer to our minimum/maximum value.

Our parabola curves upwards and our <em>minimum </em>value is at y=-3.

Therefore, our range is all numbers <em>greater than or equal to </em>-3.

The choice that represents all of these answers is A.

Question 2)

We have:

y=2(x+2)^2-4

Again, this is in vertex form. Let's identify our characteristics.

Our leading co-efficient a is 2, so the graph curves upwards.

And our vertex is at (-2, -4).

The axis of symmetry is the same as the x-coordinate of our vertex. Therefore, our axis of symmetry is at x=-2.

So, this function has a vertex at (-2, -4) and an axis of symmetry at x=-2.

The choice that represents these characteristics is C.

So, our answer is C.

And we're done!

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War your work, please.
Goshia [24]

Answer:

1.) 7. (7 x 7 = 9)

2.) IDK, sorry

3.) 8/27

Apply the product rule to 2/3

2^3/ 3^3

Raise 2 to the power of 3.

8/27

4.) 9

1. Exponentiation: 3 ^ 4 = 81

2. Exponentiation: 3 ^ (-2) = 0.111111111111 = 1/9

3. Multiple: the result of step No. 1 * the result of step No. 3 = 81*1/9  = 81 · 1/1 · 9  = 81/9  = 9 · 9/1 · 9  = 9

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 9) = 9. Cancelling by a common factor of 9 gives 9/1.

In words - eighty-one multiplied by one ninth = nine.

4. Exponentiation: 3 ^ 0 = 1

5.Multiple: the result of step No. 4 * the result of step No. 5 = 9 * 1 = 9

5.) 1/125

5 ^ (-3) = 0.008 = 1/125

6.) IDK, sorry

7 0
3 years ago
Hey ! Can anyone help me with this problem please thank you !!
Artist 52 [7]

Answer:

2

Step-by-step explanation:

7x + 3 = 8x + 1

2 = x

these are geometry problems.

3 0
3 years ago
jace read 66 pages in 1 and 3/5 hours. if he continues reading at the same rate, how many pages will he read in an hour?
Ilia_Sergeevich [38]

Answer:

156

Step-by-step explanation:

1 3/5 of an hour is 96 you get that by addind 60 mins with 36(3/5) then just add 60 mins

i believe this is right if you have any questions let me know

6 0
3 years ago
A county's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponential
aliina [53]
Let t=number of years since 1991.
Then 
P(t)=147 e^(kt)   ... in millions
P(0)=147 e^(0)=147
P(7)=147 e^(7k)=153
e^(7k)=(153/147)
take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715

Year 2017=>t=2017-1991=26
P(26)=147e^(26*.005715)=170.55
Answer: in 2017, the projected population is 170.55 millions.
6 0
3 years ago
17. One day when Terry went to school the temperature outside was –15 degrees Fahrenheit. In Terry's classroom the temperature w
docker41 [41]
C.+83 degrees. 68-(-15)=+83
5 0
3 years ago
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