Y-intercept is where it goes through the y axis. So if you look at the image, it cuts through the y-axis at (-24, 0), so that is the y-intercept,
This is an arithmetic series,
so
S(n) = (n/2)*(a(1)+a(n))
S(25) = (25/2)*(a(1)+a(25))
n=25
a(n) = 3n-2
a(1)= 3*1-2=1
a(1)=1
a(25) = 3*25-2=75-2=73
a(25)=73
S(25) = (25/2)*(1+73)=(25/2)*74=925
S(25)=925
Answer : 925
<span><span><span>4x</span>+6</span>=<span>2<span>(<span><span>3x</span>−4</span>)
</span></span></span>
<span><span><span /></span></span>Step 1: Simplify both sides of the equation.
<span><span><span>4x</span>+6</span>=<span>2<span>(<span><span>3x</span>−4</span>)
</span></span></span>
<span><span><span /></span></span><span><span><span>4x</span>+6</span>=<span><span><span>(2)</span><span>(<span>3x</span>)</span></span>+<span><span>(2)</span><span>(<span>−4</span>)</span></span></span></span>(Distribute)
<span><span><span>4x</span>+6</span>=<span><span><span>6x</span>+</span>−8
</span></span>
<span><span /></span><span><span><span>4x</span>+6</span>=<span><span>6x</span>−8
</span></span>
<span><span /></span>Step 2: Subtract 6x from both sides.
<span><span><span><span>4x</span>+6</span>−<span>6x</span></span>=<span><span><span>6x</span>−8</span>−<span>6x
</span></span></span>
<span><span><span /></span></span><span><span><span>−<span>2x</span></span>+6</span>=<span>−8
</span></span>
<span><span /></span>Step 3: Subtract 6 from both sides.
<span><span><span><span>−<span>2x</span></span>+6</span>−6</span>=<span><span>−8</span>−6
</span></span>
<span><span /></span><span><span>−<span>2x</span></span>=<span>−14
</span></span>
<span><span /></span>Step 4: Divide both sides by -2.
<span><span><span>−<span>2x</span></span><span>−2</span></span>=<span><span>−14</span><span>−2
</span></span></span>
<span><span><span /></span></span><span>x=7
</span>
<span />
Answer:
Step-by-step explanation:
there is four solutions
1.x = 3
2.x = -3
3. x= 0.0000 - 3.0000
4.x= 0.0000 + 3.0000