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drek231 [11]
4 years ago
7

Divide.

Mathematics
2 answers:
Maslowich4 years ago
8 0

Answer:

Quotient: 3x^2 -3x -3

Remainder:5

Step-by-step explanation:

dexar [7]4 years ago
3 0

(9x^2 + 21x + 10)= (3x+5)( 3x+2)+0

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What is the location of the point on the number line that is 3/7 of the way from A= -4 to B=17?
Margaret [11]
The point that is 3/7 of the way between -4 and 17 is 5
6 0
4 years ago
Read 2 more answers
Five thousand dollars is deposited into a savings account at 2.5% interest compounded continuously.
Mumz [18]

Answer:

A). A(t) = P(1+r/n)^(nt)

B). DA/Dt = np(1+r/n)^(t)

C). A(5) =$ 5664.0

D).t = approximately 13.5 years

Step-by-step explanation:

A(t) = P(1+r/n)^(nt)

P = $5000

n= t

r= 2.5%

After five years t = 5

A(t) = P(1+r/n)^(nt)

A(5) = 5000(1+0.025/5)^(5*5)

A(5) = 5000(1+0.005)^(25)

A(5)= 5000(1.005)^(25)

A(5) = 5000(1.132795575)

A(5) = 5663.977875

A(5) =$ 5664.0

When the balance A= $7000

A(t) = P(1+r/n)^(nt)

7000= 5000(1+0.025/n)^(nt)

But n= t

7000= 5000(1+0.025/t)^(t²)

7000/5000= (1+0.025/t)^(t²)

1.4= (1+0.025/t)^(t²)

Using trial and error

t = approximately 13.5 years

8 0
3 years ago
(a) n is an integer.
Nina [5.8K]

The possible integer values of n are:

-1, 0, 1 , 2 , and 3.

-1 to 3 are all greater than -2.

3 is the maximum since 3 is the greatest number where n is equal to it or lesser than it.

Solving the inequality: 3y - 4 > 17

3y - 4 > 17

Add 4 to both sides to move it.

3y > 17 + 4

3y > 21

Divide both sides by 3 to get the value of y.

3y/3 > 21

y > 7

The sign does not change since we did not divide or multiply by a negative.

Therefore, y is greater than 7.

3 0
3 years ago
Read 2 more answers
What sine function represents an amplitude of 1, a period of 2π, a horizontal shift of π, and a vertical shift of −4?
Gwar [14]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{  A}}sin({{  B}}x+{{  C}})+{{  D}}
\\\\
f(x)=&{{  A}}cos({{  B}}x+{{  C}})+{{  D}}\\\\
f(x)=&{{  A}}tan({{  B}}x+{{  C}})+{{  D}}
\end{array}
\\\\
-------------------\\\\

\bf % template detailing
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{  A}}|\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\

\bf \bullet \textit{vertical shift by }{{  D}}\\
\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\
\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period or frequency}\\
\left. \qquad  \right. \frac{2\pi }{{{  B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
\left. \qquad  \right. \frac{\pi }{{{  B}}}\ for\ tan(\theta),\ cot(\theta)

with that template in mind, let's see

the period of 2π, well, for that, you have to do nothing, because that's sine original period

Amplitude of 1, well, that's also sine's original amplitude

horizontal shift/phase... ok, that means C/B = π, now, it doesn't say if to the left or the right, so I gather either is ok, so...let's do the right

you could use then, C = -π and B = 1, that gives you -π/1 or -π

vertical shift of -4, well, that simply means D = -4

f(θ) = sin(θ - π) - 4   <-- will do
5 0
4 years ago
The sum of the measures of angle x and y is 90. If the measures of angle x is 30 less than twice the measures of angle y what is
svp [43]
First set up your two equations:

x + y = 90

x = 2y - 30

Then substitute what x equals in the second equation into the first equation:

(2y -30) + y = 90

Now solve for y:

3y -30 = 90
3y = 120
y = 40

Then use y = 40 and substitute the value for y into one of your original equations and solve for x.  I'll choose the first one, but either one will work.

x+ 40 = 90
x = 50

So your solution is x = 50 and y = 40


8 0
3 years ago
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