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Alex17521 [72]
4 years ago
7

Can someone please help me with this? It's due tomorrow. Doesn't have to be all of them, I just need an explanation on how to do

this

Mathematics
1 answer:
snow_lady [41]4 years ago
5 0

First, look at the number inside the parenthesis, for the first problem the answer would be 3 since you have (x+3). Then, move the graph up or down that number. Since you got three for the first one, you move every point on the graph up 3. For the second one, the number is -3, so you move every point down 3. Just keep doing the same thing with every graph. Then you're done!

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Is there any positive number b so that the expression logb (0) makes sense? Explain how you know?
topjm [15]

Answer:

No.

Step-by-step explanation:

The logarithm of a number to the base b of a certain number  is the exponent

to which the base b is raised to equal the given value.

So say we have  logb y = a, then

y = b^a

So if y = 0 then

0 = b^a

If b is a positive number then there is no value of a that makes y = 0.

for example y = b^0 = 1, y = b^1 = b  etc.

7 0
3 years ago
Lester deposits $80 into a new savings account. The account earns 6.5% simple interest per year. No money is added or removed fr
Sedaia [141]

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$80\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\dotfill &3 \end{cases} \\\\\\ A=80[1+(0.065)(3)]\implies A=80(1.195)\implies A=95.6

4 0
2 years ago
12x=9y+27 in slope intercept form with work
arsen [322]
-8 I believe is the answer
8 0
3 years ago
Find sin(u/2) if tan(u)=-7.721 and u is in quadrant 4
morpeh [17]

Answer:

.6601

Step-by-step explanation:

to find u, which we assume is an angle of course, we can take arctan of both sides.  so arctan(-7.721) = -1.4420.  this angle is in quadrant 4, but it is not in the range.  In this instance you just go around the circle again, or add 2pi, which gets us 4.8412.  You can check and you get the same answer if you take the tangent of either.

So now we have a number in the appropriate range  in the appropriate quadrant.  That means we have the correct angle.  The question asks what is sine of that angle cut in half.  so sin(4.8412/2), which gets you your answer.  let em know if something didn't make sense.  

7 0
3 years ago
Question 2-5 please
Grace [21]

Answer:

1. m=1\frac{1}{14}

2. undefined

3. -6.

4. 2\frac{1}{3}.

5. 2.

6.  \frac{7}{2}

Step-by-step explanation:

1. The required line passes through (3,0),(-11,-15). The slope of the line joining the points  (x_1,y_1),(x_2,y_2) is given by the formula,

m=\frac{y_2-y_1}{x_2-x_1} or m=\frac{y_1-y_2}{x_1-x_2}

Either of them yields the same result.

Substitute x_1=3,y_1=0,x_2=-11,y_2=-15 into the first formula to get,

m=\frac{-15-0}{-11-3} \implies m=\frac{-15}{-14}=\frac{15}{14}

You can write this as a mixed number to obtain:

\implies m=1\frac{1}{14}

2. The given line passes through (4,-8),(4,13).

Observe that the first coordinates are the same for both points. This implies that, the line is vertical.

The slope of all vertical lines are undefined.

3. The average rate of change of the function y=f(x) on the interval [a,b]\:\:or\:\:a\le x\le b is given by:

ARC=\frac{f(b)-f(a)}{b-a}.

The given function is f(x)=x^2-4x

f(-2)=(-2)^2-4(-2)=12

f(4)=(4)^2-4(4)=0

ARC=\frac{f(4)-f(-2)}{4--2}.

ARC=\frac{0-12}{6}=-6.

4. The given function is f(x)=2^x-1

f(0)=2^0-1=0

f(3)=2^3-1=7

ARC=\frac{f(3)-f(0)}{3-0}.

ARC=\frac{7-0}{3}=2\frac{1}{3}.

5. From the graph

f(3)=7,f(0)=1

ARC=\frac{f(3)-f(0)}{3-0}.

ARC=\frac{7-1}{3}.

ARC=\frac{6}{3}=2.

6. The given equation is :

2y-7x=-4

Add 7x to both sides.

2y=7x-4

Divide through by 2.

y=\frac{7}{2}x-2

Compare this function to y=mx+b

The slope is m=\frac{7}{2}

4 0
3 years ago
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