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bonufazy [111]
3 years ago
13

Factor: x^2-y^2-2y-1

Mathematics
2 answers:
pishuonlain [190]3 years ago
7 0
X^2 - y^2 - 2y - 1 A trick I learned, if there is a square with know number in front of the x etc, that means in each bracket there with be an x and as it is a positive x^2 means that both brackets will have positive x at start, so the same with y, except this is minus which means that either one doesn't matter can be a minus y and one positive as when you times a positive and negative you get a negative and for the one, you find two factors that go into one, which there is only one one and that is one which puts it at the end of the equation, but it is minus so like the y^2 one must be minus and one positive So (x + y + 1) (x - y - 1)
inn [45]3 years ago
4 0

x^2 - y^2 - 2y - 1
x^2 - (y+1)^2
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Im stuck on this problem. Please explain how you got your answer​
klemol [59]

The function y=0.3^x represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

P_f=P_o*(1+\frac{R}{100}) ^t

           

Pf= future population

Po=initial population

r=growth rate

t= time (years)

growth or decay factor =  (1 ±r)

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:

y=0.3^x, then

Pf=y

Po= 1  

(1+\frac{R}{100}) =0.3 , thus

(100+R}) =30\\ \\ R=-100+30\\ \\ R=-70

r= -70%= -0.7

decay factor= (1-0.7)=0.3

Therefore,

1+R will be = 1+(-0.7)=1 - 0.7 =0.3

When 1+R >1, the function represents exponential growth.

Read more about the exponential function here:

brainly.com/question/8935549

4 0
2 years ago
Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS,and 25 cents per off-peak time SMS.
algol [13]

Answer:

Anita's monthly bill will be $164.25.

Step-by-step explanation:

Since Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS, and 25 cents per off-peak time SMS, if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month To determine what will her monthly bill come to, the following calculation must be performed:

100 + (0.85 x 45) + (0.25 x 105) = X

100 + 38.25 + 26.25 = X

138.25 + 26.25 = X

164.25 = X

Therefore, her monthly bill will be $ 164.25.

6 0
3 years ago
Evaluate-3/5 - (-2/7)
stepan [7]
Exact form: 31/35
0.8857142~
5 0
3 years ago
Read 2 more answers
13
zepelin [54]

Answer:

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

Step-by-step explanation:

We need to find equation from the table given

x     f(x)

3     -5

7     -2

11     1

15    4

We can write equation in the form of y=mx+b

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: Slope=\frac{y_2-y_1}{x_2-x_1}

From the table we have: x_1=3, y_1=-5, x_2=7, y_2=-2

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}

So, we get slope m=\frac{3}{4}

Now, finding y-intercept

Using the slope m=\frac{3}{4} and point (3,-5) we can find y-intercept

y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}

The y-intercept is b=\frac{-29}{4}

So, the equation having slope m=\frac{3}{4} and y-intercept b=\frac{-29}{4} will be:

y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

6 0
3 years ago
Let f(x)=2^(x) and g(x)=2^(x+3)
ss7ja [257]

Answer:

Step-by-step explanation:

8 0
2 years ago
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