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maw [93]
2 years ago
10

Please answer need by tonight

Mathematics
2 answers:
tensa zangetsu [6.8K]2 years ago
4 0

Answer:

0.09 and 9/100

artcher [175]2 years ago
3 0
As a decimal 0.09 and a fraction 9/100
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Factor 21a–27.
Ganezh [65]

Answer:

3(7a - 9)

Step-by-step explanation:

21a–27

3*7*a - 3*9

Factor out 3

3(7a - 9)

8 0
2 years ago
Read 2 more answers
The sum of 3 consecutive integers is 45. Which equation represents this?
cestrela7 [59]
Consecutive integers are 1 apart
they are
x,x+1,x+2
so it would be
x+x+1+x+2=45
B is answer
3 0
3 years ago
I dont understand how to do this precalc question
Alexeev081 [22]

Answer:

  • x-intercept:  (-0.1, 0)
  • Horizontal Asymptote: y = -3
  • Exponential <u>growth</u>

(First answer option)

Step-by-step explanation:

<u>General form of an exponential function</u>

y=ab^x+c

where:

  • a is the initial value (y-intercept).
  • b is the base (growth/decay factor) in decimal form:
    If b > 1 then it is an increasing function.
    If 0 < b < 1 then it is a decreasing function.
  • y=c is the horizontal asymptote.
  • x is the independent variable.
  • y is the dependent variable.

Given <u>exponential function</u>:

y=4(10)^x-3

<h3><u>x-intercept</u></h3>

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0.  To find the x-intercept, substitute y = 0 into the given equation and solve for x:

\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

<h3><u>Asymptote</u></h3>

An <u>asymptote</u> is a line that the curve gets infinitely close to, but never touches.

The <u>parent function</u> of an <u>exponential function</u> is:

f(x)=b^x

As<em> </em>x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form  f(x) = ab^x+c always has a horizontal asymptote at y = c.  

Therefore, the horizontal asymptote of the given function is y = -3.

<h3><u>Exponential Growth and Decay</u></h3>

A graph representing exponential growth will have a curve that shows an <u>increase</u> in y as x increases.

A graph representing exponential decay will have a curve that shows a <u>decrease</u> in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).  

  • If b > 1 then it is an increasing function.
  • If 0 < b < 1 then it is a decreasing function.

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

Learn more about exponential functions here:

brainly.com/question/27466089

brainly.com/question/27955470

6 0
2 years ago
The slope of the line below is -2. Use the coordinates of the labeled point to find the point-slope equation of the line. (4, -6
r-ruslan [8.4K]

<u>Answer:</u>

The point-slope equation of the line is y = -2x +2 or 2x+y = 2

<u>Solution: </u>

Let us assume that the slope is m and the y intercept of the line is b

Hence, y=m x+b--------- (i)

y intercept means we need to find the value of y when x is 0

Here the line passes through point (4,-6) and slope m = (-2)

Now putting the point (4,-6) in equation (i) we get,

\Rightarrow-6 = m\times4 +b

\Rightarrow-6 = (-2)\times4 +b

\Rightarrow-6 = -8 +b

\Rightarrow-6+8 =b

\Rightarrow b = 2

So, the equation of the line will be will be y = -2x +2 or 2x+y = 2

6 0
3 years ago
2
Sati [7]

Answer:

176 mm

Step-by-step explanation:

The circumference of a circle is the perimeter of a circle (length of a circle). The circumference of a circle is given as:

Circumference (C) = 2πr = πd, where d is the diameter

The circumference of a circle with diameter 7 mm is:

C = πd = 22/7(7) = 22 mm

The length of the paper to round the cylindrical pencil is the same as the perimeter of the pencil which is 22 mm.

To round the pencil 8 times, the length of the paper needed = 8 × 22 mm = 176 mm

6 0
3 years ago
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