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Natalka [10]
2 years ago
9

The graph of y=x is shifted up 2 units and 3 units to the left. Which is the equation of the translated function?

Mathematics
1 answer:
krek1111 [17]2 years ago
7 0

Check the picture below.

y = x\implies y = \stackrel{A}{1}(\stackrel{B}{1}x+\stackrel{C}{0})+\stackrel{D}{0} \\\\\\ \begin{cases} \stackrel{\textit{2 units up}}{D=+2}\\\\ \stackrel{\textit{3 units left}}{C=+3}\\ B=1 \end{cases}\qquad \implies y = \stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+3})\stackrel{D}{+2}\qquad \implies y=(x+3)+2

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Simplify the expression 6^3 +5(4-2)
ANTONII [103]

Answer:

Answer is 226.

Step-by-step explanation:

The expression is 6^3+5(4-2)

6^3 means that 6 will be multiplied 3 times.

6^3=6*6*6

=216

Now the expression becomes,

=216+5(4-2)

Now we will solve the round bracket.

4-2 evaluates to 2

=216+5(2)

Now we will multiply 5 and 2 which becomes 10

=216+10

=226

Therefore the answer is 226....

5 0
3 years ago
Can someone help with this question
Bas_tet [7]

Answer:

I got 3 i plugged the equation into a graphing calculator so C

Step-by-step explanation:

4 0
3 years ago
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LuckyWell [14K]
5x < 13 i think hope this helps
8 0
3 years ago
6. Find an exact value. (1 point)
vladimir2022 [97]
<span>6 Find an exact value. 
sin 75°
</span>sin(A+B)=sin(A)cos(B)+cos(A)sin<span>(B)
</span>sin(45)=cos(45)=(2^0.5)/2    sin(30)=0.5      cos(30)=(3^0.5)/2
sin(45+30)=sin(45)cos(30)+cos(45)sin(30)=(6^0.5+2^0.5)/4
the answer is the letter d) quantity square root of six plus square root of two divided by four.

<span>7. Find an exact value. 
sine of negative eleven pi divided by twelve.

</span>sin(-11pi/12) = -sin(11pi/12) = -sin(pi - pi/12) = -sin(pi/12) = -sin( (pi/6) / 2)

= - sqrt( (1-cos(pi/6) ) / 2) = -sqrt( (1-√3/2) / 2 ) = -(√3-1) / 2√2=(√2-√6)/4
the answer is the letter c) quantity square root of two minus square root of six divided by four.

<span>8. Write the expression as the sine, cosine, or tangent of an angle. 
sin 9x cos x - cos 9x sin x
</span>

sin(A−B)=sinAcosB−cosAsinB

sin(9x−x)= sin9xcosx−cos9xsinx= sin(8x)

the answer is the letter c) sin 8x

<span>9. Write the expression as the sine, cosine, or tangent of an angle. 
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</span>

cos(A−B)=cosAcosB<span>+sinA</span>sinB

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10. Rewrite with only sin x and cos x.

sin 2x - cos 2x

 

sin2x = 2sinxcosx<span>
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4 0
4 years ago
Read 2 more answers
A line intersects the points
allochka39001 [22]

Answer:

The answer would be -5. Hopefully I'm not wrong.

3 0
2 years ago
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