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borishaifa [10]
2 years ago
10

Solve the equation for y. Then find the value of y for each value of x.

Mathematics
1 answer:
asambeis [7]2 years ago
8 0

Answer:

y = 8 - 5x, y(-2) = 18, y(0) = 8, y(3) = -7

Step-by-step explanation:

y + 5x = 8

y = 8 - 5x

y(-2) = 8 - 5*(-2) = 8 + 10 = 18

y(0) = 8 - 5*(0) = 8 - 0 = 8

y(3) = 8 - 5*(3) = 8 - 15 = -7

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Suppose that P(A) = 0.25 and P(B) = 0.40 . If P(A|B)=0.20 , what is P(B|A) ?
Ket [755]

Answer:

  • 0.32

Step-by-step explanation:

<u>Use of formula:</u>

  • P(A and B) = P(A)*P(B|A) and
  • P(A and B) = P(B)*P(A|B)

<u>According to above and based on given:</u>

  • P(A)P(B|A) = P(B)P(A|B)
  • P(B|A) = P(A|B)*P(B)/P(A)
  • P(B|A) = 0.20*0.40/0.25 = 0.32
8 0
2 years ago
Calculate the perimeter of this figure.Round your answer to the nearest tenth.p=(?)ft 8,10,8.9,4
o-na [289]

Answer:

30.9

Step-by-step explanation:

8 + 10 + 8.9 + 4 = 30.9

5 0
2 years ago
The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original
evablogger [386]

<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>

{:\implies \quad \sf 5(s+8)=65}

{:\implies \quad \sf 5s+5\times 8=65}

{:\implies \quad \sf 5s+40=65}

{:\implies \quad \sf 5s=65-40}

{:\implies \quad \sf 5s=25}

{:\implies \quad \sf s=\dfrac{25}{5}=5}

{:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}

As we assumed the original side to be <em><u>s</u></em> .

<em>Hence, the original side's length 5 inches </em>

8 0
2 years ago
States that are in the shape of a polygon
Dmitry [639]

Answer:

None

Step-by-step explanation:

Look at the map

6 0
2 years ago
What is the value of c in the equation y = 4x^2 -10x + c if the y-coordinate of the vertex is -7
love history [14]

Answer: c=-\frac{3}{4}

Step-by-step explanation:

Find the x-coordinate of the vertex with this formula:

x=\frac{-b}{2a}

In this case:

a=4\\b=-10

Substituting values, we get:

x=\frac{-(-10)}{2(4)}=\frac{5}{4}

Now we can substitute the coordinates of the vertex into the equation y = 4x^2 -10x + c and then solve for "c".

Then:

-7 = 4(\frac{5}{4})^2 -10(\frac{5}{4}) + c\\\\-7+\frac{25}{4}=c\\\\c=-\frac{3}{4}

6 0
3 years ago
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