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liubo4ka [24]
2 years ago
13

Please help with Algebra

Mathematics
2 answers:
Serhud [2]2 years ago
5 0

Answer: 6

Step-by-step explanation: The y-intercept is a point where a line

crosses the y-axis and all y-intercepts have an x-coordinate of zero.

So to find the y-intercept of this line, we can plug a 0 in for x.

So we have 4(0) + 2y = 12.

So 2y = 12 which means that <em>y = 6</em>.

So the y-intercept of this line is 6.

mina [271]2 years ago
3 0

Answer:

C) 6

Step-by-step explanation:

I converted the equation into slope-intercept form and then identified the y-intercept.

4x+2y=12\\\\4x-4x+2y=12-4x\\\\2y=12-4x\\\\\frac{2y=12-4x}{2}\\\\ y=6-2x\\\\y=-2x+6\\\\y=-2x+\boxed{6}

C should be the correct answer.

Hope this helps.

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What single transformation was applied to triangle A to get triangle B? Links will be reported​
Alina [70]

Answer:

Rotation:

Step-by-step explanation:

Translation is usually movements like up, down, left, right.

Dilation is when one shape is bigger/smaller than the other, but still congruent.

Reflections are usually done over an axis (x or y), and don't change the degree at which a shape is turned. From looking at the triangles, you can see that one triangle was turned clockwise.

4 0
2 years ago
An Investment of $10,000 yields 8% interest compounded quarterly.
Pachacha [2.7K]

An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

  • The principal amount of investment = $10,000
  • Interest Rate = 8% = 0.08
  • number of times it get compounded = 4

a. we are to determine the amount of the accumulated capital after 6 months.

  • i.e. when time (t) = 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}

\mathbf{A = 10000(1.02)^2}}

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

  • i.e. when time (t) = 5 years

\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}

\mathbf{A = 10000(1.02)^20}}

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

brainly.com/question/14295570?referrer=searchResults

5 0
2 years ago
Need help.
aev [14]

Answer:

1. y= 3x+7

2.y=1/2 x -1

Step-by-step explanation:

1.

Parallel lines have the same gradient.In the equation given,

y= 3x+5 , the slope is 3

So now, you find the equation of a line passing through point (-1,4) with m=3

m=Δ y/Δx

3= y-4/ x--1

3= y-4 /x+1

3(x+1) = y-4

3x+3 =y-4

3x+3+4=y

⇒⇒ y= 3x+7   is the equation.

2.

Two lines that are perpendicular to each other have the product of their slopes to be -1

Given equation to be y= -2x +8 then, m₁ = -2

Finding m₂ will be;

m₁ *m₂ = -1

-2 * m₂ = -1

-2 m₂ = -1

m₂ = -1/-2 = 1/2

So writing the equation of the perpendicular line with m₂ =1/2 , point (-4,-3)

will be;

m=Δy/Δx

1/2=y--3/x--4

1/2 = y+3/x+4

x+4 = 2( y+3)

x+4 = 2(y+3)

x+4 =2y+6

x+4-6=2y

x-2=2y

x/2 -2/2=y

y=1/2 x -1   is the equation.

5 0
2 years ago
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