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malfutka [58]
3 years ago
9

What is the solution to y = 0.2x for the replacement set x = {3}?

Mathematics
1 answer:
Sonbull [250]3 years ago
4 0
.6 would be your answer. You just substitute in.
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What is the equation of the parabola with focus (-1,-1) and directrix y=1?
Inessa05 [86]

Answer:

B

Step-by-step explanation:

Given focus as (h,k) and directrix as y = mx + b, the equation of a parabola is given as:

\frac{(y - mx - b)^2}{m^2 +1}=(x - h)^2 + (y - k)^2

Hence, from the given focus & directrix, we have:

h = -1

k = -1

m = 0

b = 1

<em>We can plug them into the formula and arrange to get:</em>

<em>\frac{(y - mx - b)^2}{m^2 +1}=(x - h)^2 + (y - k)^2\\\frac{(y - (0)x - 1)^2}{0^2 +1}=(x - (-1))^2 + (y - (-1))^2\\\frac{(y-1)^2}{1}=(x+1)^2+(y+1)^2\\y^2-2y+1=x^2+2x+1+y^2+2y+1\\-2y-2y=x^2+2x+1\\-4y=x^2+2x+1\\y=-\frac{1}{4}x^2-\frac{1}{2}x-\frac{1}{4}</em>

<em />

<em>B is the correct answer.</em>

8 0
3 years ago
2-3/4z=1/8z+9 please show your steps!
SashulF [63]
1. 2 - 3z/4 = 1/8z + 9 (simplify 3/4z to 3z/4)

2. 2 - 3z/4 = z/8 + 9 (simplify 1/8z to z/8)

3. 16 - 6z = z + 72 (multiply both sides by 8 (the LCM of 4,8)

4. -6z = z + 72 - 16 (subtract 16 from both sides)

5. -6z = z + 56 (simplify z + 72 - 16 to z + 56)

6. -6z - z = 56 (subtract z from both sides)

7. -7z = 56 (simplify -6z - z to -7z)

8. z = 56/-7 (divide both sides by -7)

9. z = -8. (simplify 56/7 to 8)

So in conclusion your answer to the equation would be -8.
4 0
3 years ago
Write the augmented matrix for each system of equations. 9x-4y-5z=9 7x+4y-4z=-1
lakkis [162]
\left[\begin{array}{ccc|c}9&-4&-5&9\\7&4&-4&-1\end{array}\right]
4 0
3 years ago
Read 2 more answers
HELP !!!! can someone help me please how can i use the vertex formula to find this equation for this graph ?
DedPeter [7]
Based on that table of values, we know the highest point(vertex) is at 0.9, 5.9

we can also use just one another point... say 1.4, 4.6

\bf \qquad \textit{parabola vertex form}\\\\&#10;\begin{array}{llll}&#10;y=a(x-{{ h}})^2+{{ k}}&#10;\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\&#10;-------------------------------\\\\

\bf \begin{cases}&#10;h=0.9\\&#10;k=5.9&#10;\end{cases}\implies y=a(x-0.9)^2+5.9&#10;\\\\\\&#10;\begin{cases}&#10;\textit{another point}\\&#10;x=1.4\\&#10;y=4.6&#10;\end{cases}\implies 4.6=a(1.4-0.9)^2+5.9&#10;\\\\\\&#10;4.6=a(0.5)^2+5.9\implies 4.6-5.9=a(0.5)^2\implies -1.3=a(0.5)^2&#10;\\\\\\&#10;\cfrac{-1.3}{0.5^2}=a\implies -5.2=a&#10;\\\\\\&#10;thus\qquad \qquad \boxed{y=-5.2(x-0.9)^2+5.9}
5 0
3 years ago
What times what equals 84
Kisachek [45]
42 times 2 because 84 divided by 24 equals 2. Also, 84 divided by 2 equals 24.
8 0
3 years ago
Read 2 more answers
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