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4 years ago

Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

Mathematics

1 answer:

MA_775_DIABLO [31]4 years ago

6 0

Step-by-step explanation:

I just eyeballed it.

<h3> Answer:</h3>

The Axis of Symmetry for $h(x)$ is the vertical line, $x = 3$ .

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Multiply.<br>(v+8)(v-8)<br>simplify

san4es73 [151]

V * v = v^2
v * -8 = -8v
8 * v = 8v
8 * -8 = -64

v^2 - 8v + 8v - 64
v^2 - 64
<span>
This was using the distributive property or using the FOIL method</span>

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3 years ago

A freezer can be bought on hire purchase by making a desposiy of 15% of the cash price which is $2975 the interest which is 20%

Liono4ka [1.6K]

Answer: See explanation

Step-by-step explanation:

a. The deposit

= 15% × $2975

= 15/100 × $2975

= 0.15 × $2975

= $446.25

b. The hire purchase price

Outstanding balance = $2975 - $446.25 = $2528.75

20% of outstanding balance

= 20% × $2528.75

= 0.2 × $2528.75

= $505.75

Hire purchase price

= $2975 + $505.75

= $3480.75

c. The difference the hire purchase price and cash price

= $3480.75 - $2975

= $505.75

d. The difference as a percentage of the cash price.

= ($505.75 / $2975) × 100

= 0.17 × 100

= 17%

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3 years ago

Macy has completed 78% of the 50 questions on the test. How<br> many questions has Macy completed?

mrs_skeptik [129]

Answer:

Step-by-step explanation:

7 0

3 years ago

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The population of deer forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 pe

jonny [76]

Answer:

<em>C. 3.8 years</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P(t)=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).

We have enough information to write the exponential model:

$P(t)=800(1+0.2)^t$

$P(t)=800(1.2)^t$

It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

$800(1.2)^t=1600$

Dividing by 800:

$(1.2)^t=1600/800=2$

Taking logarithms:

$t\log 1.2=\log 2$

Dividing by log 1.2:

$t=\frac{\log 2}{ \log 1.2}$

Calculating:

t = 3.8 years

Answer: C. 3.8 years

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3 years ago

What are the intercepts of y=4x-2

Andrei [34K]

I think that the intercepts are (0.5,0) and (0,2) which is the first choice.

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3 years ago

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